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_doClip 1 eq { clip } { eoclip } ifelse
newpath
ilp
/_doClip 0 dd
}
{ sfc eofill }
ifelse
} bd
/S {
_doClip 1 ge
{
gsave ssc stroke grestore
_doClip 1 eq { clip } { eoclip } ifelse
newpath
ilp
/_doClip 0 dd
}
{ ssc stroke }
ifelse
} bd
/s { h S } bd
/B {
_doClip dup 1 ge
gsave f grestore
{
gsave S grestore
1 eq { clip } { eoclip } ifelse
newpath
ilp
/_doClip 0 dd
}
{ pop S }
ifelse
} bd
/b { h B } bd
/B* {
_doClip dup 1 ge
gsave f* grestore
{
gsave S grestore
1 eq { clip } { eoclip } ifelse
newpath
ilp
/_doClip 0 dd
}
{ pop S }
ifelse
} bd
/b* { h B* } bd
/W { /_doClip 1 dd } bd
/W* { /_doClip 2 dd } bd
/q/save ld
/Q { restore ilp } bd
Level2? StartLoad
{ /defineRes/defineresource ld
/findRes/findresource ld
currentglobal
true systemdict /setglobal get exec
[/Function /ExtGState /Form]
{ /Generic /Category findresource dup length dict copy /Category defineresource pop }
forall
systemdict /setglobal get exec
} EndLoad
Level2? not StartLoad
{ /AlmostFull?
{ dup maxlength exch length sub 2 le
} bind def
/Expand
{ 1 index maxlength mul cvi dict
dup begin exch { def } forall end
} bind def
/xput
{ 3 2 roll
dup 3 index known not
{ dup AlmostFull? { 1.5 Expand } if
} if
dup 4 2 roll put
} bind def
/defineRes
{ _categories 1 index known not
{ /_categories _categories 2 index 10 dict xput store
} if
_categories exch 2 copy get 5 -1 roll 4 index xput put
} bind def
/findRes
{ _categories exch get exch get
} bind def
} EndLoad
/cs
{
dup where { pop load } if
dup /_fcs xdd
ucs
_cpcf exch get
/_fc xdd
/_fp null dd
} bd
/CS
{
dup where { pop load } if
dup /_scs xdd ucs _cpcs exch get /_sc xdd /_sp null dd
} bd
/ucs {
dup type /arraytype eq
{ dup 0 get
dup /Indexed eq
{ pop 0 get }
{ /Pattern eq
{ dup length 2 eq
{ 1 get ucs }
{ 0 get }
ifelse }
{ 0 get }
ifelse }
ifelse }
if }
bd
/_cpcf
15 dict dup begin
/DefaultGray _f1 def
/DeviceGray _f1 def
/DefaultRGB _f3 def
/DeviceRGB _f3 def
/DeviceCMYK _f4 def
/CalGray _f1 def
/CalRGB _f3 def
/CalCMYK _f4 def
/Lab _f3 def
/Pattern _f0 def
/Indexed _f1 def
/Separation _f1 def
/CIEBasedA _f1 def
/CIEBasedABC _f3 def
end
dd
/_cpcs
15 dict dup begin
/DefaultGray _s1 def
/DeviceGray _s1 def
/DefaultRGB _s3 def
/DeviceRGB _s3 def
/DeviceCMYK _s4 def
/CalGray _s1 def
/CalRGB _s3 def
/CalCMYK _s4 def
/Lab _s3 def
/Pattern _s0 def
/Indexed _s1 def
/Separation _s1 def
/CIEBasedA _s1 def
/CIEBasedABC _s3 def
end
dd
Level2? not StartLoad {
/ri/pop ld
/makePat/pop ld
} EndLoad
Level2? StartLoad {
/ri
{
/findcolorrendering isdefined?
{
mark exch
findcolorrendering
counttomark 2 eq
{ type /booleantype eq
{ dup type /nametype eq
{ dup /ColorRendering resourcestatus
{ pop pop
dup /DefaultColorRendering ne
{
/ColorRendering findresource
setcolorrendering
} if
} if
} if
} if
} if
cleartomark
}
{ pop
} ifelse
} bd
/makePat /makepattern ld
} EndLoad
Level2? not _ColorSep5044? or StartLoad
{
/L1setcolor {
aload length
dup 0 eq
{ pop .5 setgray }
{ dup 1 eq
{ pop setgray }
{ 3 eq
{ setrgbcolor }
{ setcmykcolor }
ifelse }
ifelse }
ifelse
} bind dd
/_sfcs { } dd
/_sscs { } dd
} EndLoad
Level2? not _ColorSep5044? not and StartLoad
{
/_sfc { _fc L1setcolor } dd
/_ssc { _sc L1setcolor } dd
} EndLoad
Level2? _ColorSep5044? not and StartLoad
{
/_sfcs
{
_fcs setcolorspace
} bind dd
/_sscs
{
_scs setcolorspace
} bind dd
/_sfc
{
_fc aload pop
_fp null eq
{ setcolor }
{ _fp setpattern }
ifelse
} bind dd
/_ssc
{
_sc aload pop
_sp null eq { setcolor } { _sp setpattern } ifelse
} bind dd
} EndLoad
/sc
{
_fc astore pop
ilp
} bd
/SC
{
_sc astore pop
ilp
} bd
/scn {
dup type /dicttype eq
{ dup /_fp xdd
/PaintType get 1 eq
{ /_fc _f0 dd ilp }
{ /_fc _cpcf _fcs ucs get dd
sc }
ifelse }
{ sc }
ifelse
} bd
/SCN {
dup type /dicttype eq
{ dup /_sp xdd
/PaintType get 1 eq
{ /_sc _s0 dd ilp }
{ /_sc _cpcs _scs ucs get dd
SC }
ifelse }
{ SC }
ifelse
} bd
/g { /DefaultGray cs sc } bd
/rg { /DefaultRGB cs sc } bd
/k { /DeviceCMYK cs sc } bd
/G { /DefaultGray CS SC } bd
/RG { /DefaultRGB CS SC } bd
/K { /DeviceCMYK CS SC } bd
/cm { _mtx astore concat } bd
/re {
4 2 roll m
1 index 0 rlineto
0 exch rlineto
neg 0 rlineto
h
} bd
/RC/rectclip ld
/EF/execform ld
/PS { cvx exec } bd
/initgs {
/DefaultGray where
{ pop }
{ /DefaultGray /DeviceGray dd }
ifelse
/DefaultRGB where
{ pop }
{ /DefaultRGB /DeviceRGB dd }
ifelse
0 g 0 G
[] 0 d 0 j 0 J 10 M 1 w
true setSA
} bd
21 dict dup begin
/CosineDot
{ 180 mul cos exch 180 mul cos add 2 div } bd
/Cross
{ abs exch abs 2 copy gt { exch } if pop neg } bd
/Diamond
{ abs exch abs 2 copy add .75 le
{ dup mul exch dup mul add 1 exch sub }
{ 2 copy add 1.23 le
{ .85 mul add 1 exch sub }
{ 1 sub dup mul exch 1 sub dup mul add 1 sub }
ifelse }
ifelse } bd
/Double
{ exch 2 div exch 2 { 360 mul sin 2 div exch } repeat add } bd
/DoubleDot
{ 2 { 360 mul sin 2 div exch } repeat add } bd
/Ellipse
{ abs exch abs 2 copy 3 mul exch 4 mul add 3 sub dup 0 lt
{ pop dup mul exch .75 div dup mul add 4 div
1 exch sub }
{ dup 1 gt
{pop 1 exch sub dup mul exch 1 exch sub
.75 div dup mul add 4 div 1 sub }
{ .5 exch sub exch pop exch pop }
ifelse }
ifelse } bd
/EllipseA
{ dup mul .9 mul exch dup mul add 1 exch sub } bd
/EllipseB
{ dup 5 mul 8 div mul exch dup mul exch add sqrt 1 exch sub } bd
/EllipseC
{ dup .5 gt { 1 exch sub } if
dup .25 ge
{ .5 exch sub 4 mul dup mul 1 sub }
{ 4 mul dup mul 1 exch sub }
ifelse
exch
dup .5 gt { 1 exch sub } if
dup .25 ge
{ .5 exch sub 4 mul dup mul 1 sub }
{ 4 mul dup mul 1 exch sub }
ifelse
add -2 div } bd
/InvertedDouble
{ exch 2 div exch 2 { 360 mul sin 2 div exch } repeat add neg } bd
/InvertedDoubleDot
{ 2 { 360 mul sin 2 div exch } repeat add neg } bd
/InvertedEllipseA
{ dup mul .9 mul exch dup mul add 1 sub } bd
/InvertedSimpleDot
{ dup mul exch dup mul add 1 sub } bd
/Line
{ exch pop abs neg } bd
/LineX
{ pop } bd
/LineY
{ exch pop } bd
/Rhomboid
{ abs exch abs 0.9 mul add 2 div } bd
/Round
{ abs exch abs 2 copy add 1 le
{ dup mul exch dup mul add 1 exch sub }
{ 1 sub dup mul exch 1 sub dup mul add 1 sub }
ifelse } bd
/SimpleDot
{ dup mul exch dup mul add 1 exch sub } bd
/Square
{ abs exch abs 2 copy lt { exch } if pop neg } bd
end
{ /Function defineRes pop } forall
/Identity {} /Function defineRes pop
_ColorSep5044? StartLoad {
/_defaulttransferfunc currenttransfer def
/currentcolortransfer where
{ pop /_defaultcolortransferfuncs [ currentcolortransfer ] def }
if
/concattransferfuncs {
[ 3 1 roll /exec load exch /exec load ] cvx
} bd
/concatandsettransfer {
/_defaulttransferfunc load concattransferfuncs settransfer
} bd
/concatandsetcolortransfer {
colorplate 0 eq
{
_defaultcolortransferfuncs aload pop
8 -1 roll 5 -1 roll concattransferfuncs 7 1 roll
6 -1 roll 4 -1 roll concattransferfuncs 5 1 roll
4 -1 roll 3 -1 roll concattransferfuncs 3 1 roll
concattransferfuncs
setcolortransfer
} if
colorplate 1 ge colorplate 4 le and
{
4 colorplate sub index 4 { exch pop } repeat
concatandsettransfer
} if
colorplate 5 ge
{
0 index 4 { exch pop } repeat
concatandsettransfer
} if
} bd
/tn5044sethalftone
{
begin
HalftoneType 5 eq
{ [/Default /Cyan /Magenta /Yellow /Black /Default /Default /Default]
colorplate get
here not {
/Default here not { currentdict } if
} if
}
{ currentdict }
ifelse
end
begin
/TransferFunction here
{
concatandsettransfer
currentdict dup length dict
begin
{
1 index /TransferFunction ne { def } { pop pop } ifelse
} forall
currentdict
end
}
{
currentdict
} ifelse
end
sethalftone
} bd
} EndLoad
Level2? StartLoad {
/gs
{
begin
/SA here { setstrokeadjust } if
/OP here { setoverprint } if
/BG here { setblackgeneration } if
/UCR here { setundercolorremoval } if
/TR here
{
_ColorSep5044?
{
dup xcheck
{ concatandsettransfer }
{ aload pop concatandsetcolortransfer }
ifelse
}
{
dup xcheck
{ settransfer }
{ aload pop setcolortransfer }
ifelse
} ifelse
} if
/sethalftonephase isdefined? { /HTP here { sethalftonephase } if } if
/HT here
{ _ColorSep5044?
{ tn5044sethalftone }
{ sethalftone }
ifelse
} if
end
} bd
/_defaulthalftone currenthalftone def
} EndLoad
Level2? not StartLoad {
/gs
{
begin
/SA here { /_sa? xdd } if
/OP here { dup /_op? xdd
/setoverprint where {pop setoverprint}
{pop} ifelse
} if
/TR here
{
_ColorSep5044?
{ dup xcheck
{ concatandsettransfer }
{ aload pop concatandsetcolortransfer }
ifelse
}
{ dup xcheck
{ settransfer }
{ aload pop setcolortransfer }
ifelse
} ifelse
} if
/HT here
{ _ColorSep5044?
{ tn5044sethalftone }
{ sethalftone }
ifelse
} if
end
} bd
5 dict dup
begin
currentscreen 1 [/HalftoneType /SpotFunction /Angle /Frequency ]
{ exch def } forall
end
/_defaulthalftone exch def
} EndLoad
/int {
dup 2 index sub 3 index 5 index sub div 6 -2 roll sub mul
exch pop add exch pop
} bd
/limit {
dup 2 index le { exch } if pop
dup 2 index ge { exch } if pop
} bd
_ColorSep5044? StartLoad {
/_sfc
{
_fp null eq
{ _fcs type /arraytype eq
{_fcs 0 get /Separation eq
{
_fcs 1 get /All eq
{
_fc aload pop 1 exch sub
/setseparationgray where pop begin setseparationgray end
}
{
1 _fcs 3 get exec _fcs 1 get
/findcmykcustomcolor where pop begin findcmykcustomcolor end
_fc aload pop
/setcustomcolor where pop begin setcustomcolor end
}
ifelse
}
{ _fc L1setcolor }
ifelse
}
{ _fc L1setcolor }
ifelse
}
{ _fc L1setcolor }
ifelse
} bind dd
/_ssc
{
_sp null eq
{ _scs type /arraytype eq
{_scs 0 get /Separation eq
{
_scs 1 get /All eq
{
_sc aload pop 1 exch sub
/setseparationgray where pop begin setseparationgray end
}
{
1 _scs 3 get exec _scs 1 get
/findcmykcustomcolor where pop begin findcmykcustomcolor end
_sc aload pop
/setcustomcolor where pop begin setcustomcolor end
}
ifelse
}
{ _sc L1setcolor }
ifelse
}
{ _sc L1setcolor }
ifelse
}
{ _sc L1setcolor }
ifelse
} bind dd
} EndLoad
%%EndFile
%%BeginFile: pdftext.prc
%%Copyright: Copyright 1987-1997 Adobe Systems Incorporated. All Rights Reserved.
PDF /PDFText 65 dict dup begin put
/initialize { PDFText begin } bd
/terminate { end } bd
/pdf_has_composefont? systemdict /composefont known def
/CopyFont {
{
1 index /FID ne 2 index /UniqueID ne and
{ def } { pop pop } ifelse
} forall
} bd
/Type0CopyFont
{
exch
dup length dict
begin
CopyFont
[
exch
FDepVector
{
dup /FontType get 0 eq
{
1 index Type0CopyFont
/_pdfType0 exch definefont
}
{
/_pdfBaseFont exch
2 index exec
}
ifelse
exch
}
forall
pop
]
/FDepVector exch def
currentdict
end
} bd
/cHexEncoding
[/c00/c01/c02/c03/c04/c05/c06/c07/c08/c09/c0A/c0B/c0C/c0D/c0E/c0F/c10/c11/c12
/c13/c14/c15/c16/c17/c18/c19/c1A/c1B/c1C/c1D/c1E/c1F/c20/c21/c22/c23/c24/c25
/c26/c27/c28/c29/c2A/c2B/c2C/c2D/c2E/c2F/c30/c31/c32/c33/c34/c35/c36/c37/c38
/c39/c3A/c3B/c3C/c3D/c3E/c3F/c40/c41/c42/c43/c44/c45/c46/c47/c48/c49/c4A/c4B
/c4C/c4D/c4E/c4F/c50/c51/c52/c53/c54/c55/c56/c57/c58/c59/c5A/c5B/c5C/c5D/c5E
/c5F/c60/c61/c62/c63/c64/c65/c66/c67/c68/c69/c6A/c6B/c6C/c6D/c6E/c6F/c70/c71
/c72/c73/c74/c75/c76/c77/c78/c79/c7A/c7B/c7C/c7D/c7E/c7F/c80/c81/c82/c83/c84
/c85/c86/c87/c88/c89/c8A/c8B/c8C/c8D/c8E/c8F/c90/c91/c92/c93/c94/c95/c96/c97
/c98/c99/c9A/c9B/c9C/c9D/c9E/c9F/cA0/cA1/cA2/cA3/cA4/cA5/cA6/cA7/cA8/cA9/cAA
/cAB/cAC/cAD/cAE/cAF/cB0/cB1/cB2/cB3/cB4/cB5/cB6/cB7/cB8/cB9/cBA/cBB/cBC/cBD
/cBE/cBF/cC0/cC1/cC2/cC3/cC4/cC5/cC6/cC7/cC8/cC9/cCA/cCB/cCC/cCD/cCE/cCF/cD0
/cD1/cD2/cD3/cD4/cD5/cD6/cD7/cD8/cD9/cDA/cDB/cDC/cDD/cDE/cDF/cE0/cE1/cE2/cE3
/cE4/cE5/cE6/cE7/cE8/cE9/cEA/cEB/cEC/cED/cEE/cEF/cF0/cF1/cF2/cF3/cF4/cF5/cF6
/cF7/cF8/cF9/cFA/cFB/cFC/cFD/cFE/cFF] def
/modEnc {
/_enc xdd
/_icode 0 dd
counttomark 1 sub -1 0
{
index
dup type /nametype eq
{
_enc _icode 3 -1 roll put
_icode 1 add
}
if
/_icode xdd
} for
cleartomark
_enc
} bd
/trEnc {
/_enc xdd
255 -1 0 {
exch dup -1 eq
{ pop /.notdef }
{ Encoding exch get }
ifelse
_enc 3 1 roll put
} for
pop
_enc
} bd
/TE {
/_i xdd
StandardEncoding 256 array copy modEnc
_pdfEncodings exch _i exch put
} bd
/TZ
{
/_usePDFEncoding xdd
findfont
dup length 2 add dict
begin
{
1 index /FID ne { def } { pop pop } ifelse
} forall
/FontName exch def
_usePDFEncoding 0 ge
{
/Encoding _pdfEncodings _usePDFEncoding get def
pop
}
{
_usePDFEncoding -1 eq
{
counttomark 0 eq
{ pop }
{
Encoding 256 array copy
modEnc /Encoding exch def
}
ifelse
}
{
256 array
trEnc /Encoding exch def
}
ifelse
}
ifelse
FontName currentdict
end
definefont pop
}
bd
/Level2?
systemdict /languagelevel known
{systemdict /languagelevel get 2 ge}
{false}
ifelse
def
Level2?
{
/_pdfFontStatus
{
currentglobal exch
/Font resourcestatus
{pop pop true}
{false}
ifelse
exch setglobal
} bd
}
{
/_pdfFontStatusString 50 string def
_pdfFontStatusString 0 (fonts/) putinterval
/_pdfFontStatus
{
_pdfFontStatusString 6 42 getinterval
cvs length 6 add
_pdfFontStatusString exch 0 exch getinterval
status
{ pop pop pop pop true}
{ false }
ifelse
} bd
}
ifelse
Level2?
{
/_pdfCIDFontStatus
{
/CIDFont /Category resourcestatus
{
pop pop
/CIDFont resourcestatus
{pop pop true}
{false}
ifelse
}
{ pop false }
ifelse
} bd
}
if
/_pdfString100 100 string def
/_pdfComposeFontName
{
dup length 1 eq
{
0 get
1 index
type /nametype eq
{
_pdfString100 cvs
length dup dup _pdfString100 exch (-) putinterval
_pdfString100 exch 1 add dup _pdfString100 length exch sub getinterval
2 index exch cvs length
add 1 add _pdfString100 exch 0 exch getinterval
exch pop
true
}
{
pop pop
false
}
ifelse
}
{
false
}
ifelse
} bd
pdf_has_composefont?
{
/_pdfComposeFont
{
1 index /CMap resourcestatus
{pop pop true}
{false}
ifelse
1 index true exch
{
_pdfCIDFontStatus not
{pop false exit}
if
}
forall
and
{ 3 -1 roll pop composefont true}
{
4 -1 roll pop
_pdfComposeFontName
{
dup _pdfFontStatus
{ findfont definefont true }
{
pop
dup _pdfFontStatus
{ findfont true }
{ pop false }
ifelse
}
ifelse
}
{
dup _pdfFontStatus
{ findfont true }
{ pop false }
ifelse
}
ifelse
}
ifelse
} bd
}
{
/_pdfComposeFont
{
4 -1 roll pop
_pdfComposeFontName not
{
dup
}
if
2 copy _pdfFontStatus
{pop findfont exch pop true}
{
eq
{pop false}
{
dup _pdfFontStatus
{findfont true}
{pop false}
ifelse
}
ifelse
}
ifelse
} bd
}
ifelse
/_pdfFaceByStyleDict 4 dict dup begin
Level2?
{
/Serif
/HeiseiMin-W3-83pv-RKSJ-H _pdfFontStatus
{/HeiseiMin-W3}
{/Ryumin-Light}
ifelse
def
/SansSerif
/HeiseiKakuGo-W5-83pv-RKSJ-H _pdfFontStatus
{/HeiseiKakuGo-W5}
{/GothicBBB-Medium}
ifelse
def
/HeiseiMaruGo-W4-83pv-RKSJ-H _pdfFontStatus
{/HeiseiMaruGo-W4}
{
/Jun101-Light-RKSJ-H _pdfFontStatus
{ /Jun101-Light }
{ SansSerif }
ifelse
}
ifelse
/RoundSansSerif exch def
/Default Serif def
}
{
/Serif /Ryumin-Light def
/SansSerif /GothicBBB-Medium def
{
(fonts/Jun101-Light-83pv-RKSJ-H) status
}stopped
{pop}{
{ pop pop pop pop /Jun101-Light }
{ SansSerif }
ifelse
/RoundSansSerif exch def
}ifelse
/Default Serif def
}
ifelse
end
def
/_pdf_Adobe-Japan1-2 (Adobe-Japan1-2) def
/_pdfConcatNames
{
exch
_pdfString100 cvs
length dup dup _pdfString100 exch (-) putinterval
_pdfString100 exch 1 add dup _pdfString100 length exch sub getinterval
3 -1 roll exch cvs length
add 1 add _pdfString100 exch 0 exch getinterval
} bind def
/_pdfSubSetFontByStyleDict 4 dict dup begin
_pdfFaceByStyleDict
{
_pdf_Adobe-Japan1-2 _pdfConcatNames
dup _pdfFontStatus
{ def }
{
{
pop
dup /SansSerif eq
{
/HeiseiKakuGo-W5-Adobe-Japan1-2 dup _pdfFontStatus
{ def exit }
{ pop }
ifelse
}
if
dup /Serif eq
{
/HeiseiMin-W3-Adobe-Japan1-2 dup _pdfFontStatus
{ def exit }
{ pop }
ifelse
}
if
pop exit
}
loop
}
ifelse
}
forall
end def
/TZzero
{
/_fyAdj xdd
/_wmode xdd
/_styleArr xdd
4 copy
_pdfComposeFont
{exch pop exch pop exch pop}
{
[
0 1 _styleArr length 1 sub
{
_styleArr exch get
_pdfFaceByStyleDict exch 2 copy known not
{ pop /Default }
if
get
}
for
]
exch pop
3 index 3 index 4 2 roll
_pdfComposeFont
{exch pop}
{
findfont
}
ifelse
}
ifelse
dup /FontType get 3 eq _wmode 1 eq and
{
_pdfVerticalRomanT3Font dup length dict copy
begin
/_basefont exch def
/Encoding _basefont /Encoding get def
}
{
dup length 2 add dict
begin
{1 index /FID ne {def}{pop pop} ifelse }
forall
} ifelse
/WMode _wmode def
/BaseLineAdj _fyAdj def
FontType 0 ne
{
/Encoding Encoding dup length array copy dup 16#5c /yen put def
/_fauxfont true def
} if
currentdict
end
definefont pop
}
bd
/swj {
dup 4 1 roll
dup length exch stringwidth
exch 5 -1 roll 3 index mul add
4 1 roll 3 1 roll mul add
6 2 roll /_cnt 0 dd
{1 index eq {/_cnt _cnt 1 add dd} if} forall pop
exch _cnt mul exch _cnt mul 2 index add 4 1 roll 2 index add 4 1 roll pop pop
} bd
/jss {
4 1 roll
{
2 npop
(0) exch 2 copy 0 exch put
gsave
32 eq
{
exch 6 index 6 index 6 index 5 -1 roll widthshow
currentpoint
}
{
false charpath currentpoint
4 index setmatrix stroke
}
ifelse
grestore
moveto
2 copy rmoveto
} exch cshow
6 npop
} def
/jsfTzero {
{
2 npop
(0) exch 2 copy 0 exch put
exch show
32 eq
{
4 index 4 index rmoveto
}
if
2 copy rmoveto
} exch cshow
5 npop
} def
/jsp
{
{
2 npop
(0) exch 2 copy 0 exch put
32 eq
{ exch 5 index 5 index 5 index 5 -1 roll widthshow }
{ false charpath }
ifelse
2 copy rmoveto
} exch cshow
5 npop
} bd
/trj { _cx 0 fWModeProc 32 _ax 0 fWModeProc 6 5 roll } bd
/pjsf { trj sfc fawidthshowProc } bd
/pjss { trj _ctm ssc jss } bd
/pjsc { trj jsp } bd
/_Tjdef [
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47 0 TD
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-422 -28 TD
0.12 Tc
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0 -28 TD
0.155 Tc
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/N10 8 Tf
386 5 TD
0 Tc
(9-15)Tj
/N10 12 Tf
15 -5 TD
0.391 Tc
(. We)Tj
-401 -28 TD
0.225 Tc
(here make use of a new stellarator version of the Monte Carlo ORBIT)Tj
/N10 8 Tf
351 5 TD
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(16)Tj
/N10 12 Tf
8 -2 TD
( )Tj
5 -3 TD
(guiding center)Tj
-364 -28 TD
0.205 Tc
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0 -28 TD
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(promising quasi-axisymmetric stellarator designs. Both ORBIT and ORBITM\
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T*
0.206 Tc
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T*
0.24 Tc
(representation of B. )Tj
106 0 TD
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(ORBIT )Tj
43 0 TD
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(a )Tj
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(MHD )Tj
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40 0 TD
( )Tj
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(ORBITMN )Tj
64 0 TD
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(uses )Tj
27 0 TD
(a)Tj
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-0.059 Tc
(harmonic decomposition of the magnetic field obtained from the VMEC code\
)Tj
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369 5 TD
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(17)Tj
/N10 12 Tf
8 -5 TD
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36 -28 TD
0.213 Tc
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72 -28 TD
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28 -2 TD
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14 -2 TD
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(\(a\) )Tj
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(the )Tj
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({B)Tj
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180 -28 TD
( )Tj
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(\321)Tj
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/N10 12 Tf
47 0 TD
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0 -28 TD
(profile is taken to be ARIES)Tj
/N10 8 Tf
136 5 TD
(18)Tj
/N10 12 Tf
8 -5 TD
(-like,)Tj
0 -28 TD
(P = P\(0\) \(1 - \()Tj
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4 -5 TD
(,)Tj
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(F)Tj
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10 0 TD
(/)Tj
/N16 12 Tf
3 0 TD
(F)Tj
/N10 12 Tf
10 0 TD
0.168 Tc
(\(a\) being the edge normalized toroidal flux, proportional to r)Tj
/N10 8 Tf
301 5 TD
(2)Tj
/N10 12 Tf
4 -5 TD
0.302 Tc
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-328 -28 TD
0.093 Tc
(characterized by high bootstrap current fraction. The field line twist, \
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0 -28 TD
0.03 Tc
(by the specification of external current transform to be produced by ste\
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T*
0.299 Tc
(Thus VMEC provided )Tj
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(a )Tj
11 0 TD
(candidate )Tj
51 0 TD
-0.22 Tc
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(for)Tj
-418 -28 TD
0.037 Tc
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/N10 8 Tf
246 5 TD
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(19)Tj
/N10 12 Tf
8 -5 TD
0.109 Tc
( and subsequently was examined for)Tj
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0.058 Tc
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/N10 8 Tf
230 5 TD
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(20)Tj
/N10 12 Tf
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(.)Tj
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0.177 Tc
(related tokamak geometries are shown in )Tj
210 0 TD
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(Table )Tj
33 0 TD
(I )Tj
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(and )Tj
23 0 TD
(Figs. )Tj
29 0 TD
(1-2. )Tj
25 0 TD
( )Tj
6 0 TD
(The )Tj
25 0 TD
(stellarator )Tj
54 0 TD
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0.282 Tc
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0 -28 TD
0.156 Tc
(experimental plasma, R=145 cm, B=1.4 T. Here R is the position of the m\
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435 0 TD
( )Tj
-435 -28 TD
0.036 Tc
(In this way the QAS configurations could be compared and contrasted and \
some intuitive)Tj
0 -28 TD
0.102 Tc
(ideas about important plasma parameters evaluated with realistic computa\
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T*
-0.098 Tc
(Size and magnetic field strength scaling results are discussed in Sectio\
ns IV and V.)Tj
36 -28 TD
0.271 Tc
(Table I lists the QAS geometries considered, identified by the number of\
)Tj
375 0 TD
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(field)Tj
-411 -28 TD
0.109 Tc
(periods, the percentage of field line rotational transform \(iota= 1/q\)\
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0.037 Tc
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/N16 12 Tf
143 0 TD
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(b, )Tj
/N10 12 Tf
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0.379 Tc
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0 Tc
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/N16 12 Tf
337 0 TD
0.624 Tc
(dF/dY)Tj
/N10 12 Tf
37 0 TD
0.259 Tc
(, the rate of)Tj
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0.168 Tc
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/N16 12 Tf
137 0 TD
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/N10 12 Tf
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0.264 Tc
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/N16 12 Tf
94 0 TD
1.23 Tc
( Y)Tj
/N10 12 Tf
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( )Tj
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(shear, )Tj
34 0 TD
(s )Tj
11 0 TD
(=)Tj
-425 -28 TD
0.142 Tc
(\(1/q\)dq/dr, is the dimensionless radial derivative of this plasma safe\
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0 -28 TD
0.161 Tc
(denoted the safety factor because low q\(0\) and regions of rational q a\
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T*
0.236 Tc
(MHD unstable equilibria. In addition, high )Tj
225 0 TD
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12 0 TD
(drives )Tj
35 0 TD
-0.33 Tc
(large )Tj
28 0 TD
0 Tc
(stochastic )Tj
54 0 TD
0.144 Tc
(ripple )Tj
35 0 TD
0 Tc
(diffusion)Tj
-389 -28 TD
(losses.)Tj
36 -28 TD
(The )Tj
25 0 TD
(table )Tj
30 0 TD
(includes )Tj
46 0 TD
(two-field )Tj
51 0 TD
(period )Tj
38 0 TD
(stellarators )Tj
60 0 TD
(with )Tj
29 0 TD
-0.288 Tc
(average )Tj
42 0 TD
0 Tc
(20% )Tj
29 0 TD
(and )Tj
24 0 TD
(40%)Tj
-410 -28 TD
0.062 Tc
(external transform, and a four-field period stellarator with 40% externa\
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0 -28 TD
0.065 Tc
(were found to be ballooning stable. These three stellarators also were \
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T*
0.261 Tc
(had very )Tj
50 0 TD
0 Tc
(low )Tj
24 0 TD
0.145 Tc
(aspect )Tj
37 0 TD
0 Tc
(ratio, )Tj
31 0 TD
(a/R )Tj
22 0 TD
(= )Tj
13 0 TD
(2.1. )Tj
24 0 TD
( )Tj
6 0 TD
( )Tj
6 0 TD
(A )Tj
15 0 TD
(stellarator )Tj
54 0 TD
(with )Tj
28 0 TD
(three )Tj
30 0 TD
(field )Tj
27 0 TD
(periods )Tj
42 0 TD
( )Tj
6 0 TD
(and)Tj
-415 -28 TD
0.049 Tc
(somewhat higher aspect ratio \(a/R = 3.5\) was found to have good balloo\
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0 -28 TD
0 Tc
(to )Tj
16 0 TD
(be )Tj
17 0 TD
(kink )Tj
27 0 TD
(unstable )Tj
46 0 TD
(\(QAS3_34\). )Tj
65 0 TD
( )Tj
6 0 TD
( )Tj
6 0 TD
(The )Tj
25 0 TD
(related )Tj
38 0 TD
(three-field )Tj
55 0 TD
(period )Tj
38 0 TD
(stellarator )Tj
55 0 TD
(denoted)Tj
-394 -28 TD
0.229 Tc
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/N6 12 Tf
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(6)Tj
/N10 12 Tf
-191 674 TD
0.133 Tc
0 Tw
(minimize ripple transport, montonically increasing transform to suppress\
tearing modes)Tj
0 -28 TD
-0.025 Tc
(and high edge shear to provide kink stability. However this configurati\
on, also designated)Tj
T*
0.192 Tc
(QAS3C10 by the NCSX team, will be seen to show poor fast ion confinement\
and was)Tj
T*
0.063 Tc
(not fully kink stabilized. Some of the stellarator designs were scaled\
from B=1.4 T to B)Tj
T*
0.164 Tc
(= 2.8 T and to 1 T, to evaluate the effect of increased and decreased ma\
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T*
0 Tc
(were )Tj
29 0 TD
(scaled )Tj
35 0 TD
(to )Tj
16 0 TD
(reactor )Tj
39 0 TD
(size )Tj
25 0 TD
(\(R )Tj
18 0 TD
(= )Tj
13 0 TD
(453 )Tj
24 0 TD
(cm, )Tj
23 0 TD
(B )Tj
14 0 TD
(= )Tj
13 0 TD
(7.9 )Tj
22 0 TD
(T\) )Tj
19 0 TD
(for )Tj
21 0 TD
(alpha )Tj
33 0 TD
(particle )Tj
43 0 TD
0.26 Tc
(transport)Tj
-387 -28 TD
-0.101 Tc
(calculations.)Tj
36 -28 TD
0.133 Tc
(The Table also lists parameters of three related tokamaks for which comp\
arative)Tj
-36 -28 TD
0 Tc
(simulations were done. TOKQAS2_20 is an \322equivalent tokamak\323 si\
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0 -28 TD
(but without contribution to iota from external field coils. This \322e\
quivalent tokamak\323 has)Tj
T*
0.133 Tc
(the same n = 0 components of the set {B)Tj
/N10 8 Tf
200 -2 TD
0 Tc
(mn)Tj
/N10 12 Tf
10 2 TD
0.192 Tc
(}, which define the boundary, as well as the)Tj
-210 -28 TD
0.311 Tc
(same total plasma current, toroidal flux, and pressure profile as QAS2_2\
0. The only)Tj
0 -28 TD
-0.148 Tc
(difference )Tj
53 0 TD
0 Tc
(is )Tj
14 0 TD
(the )Tj
21 0 TD
-0.188 Tc
(radial )Tj
32 0 TD
0 Tc
(or )Tj
16 0 TD
-0.266 Tc
(flux )Tj
24 0 TD
0 Tc
(coordinate )Tj
56 0 TD
(dependence )Tj
62 0 TD
(of )Tj
16 0 TD
(the )Tj
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(set )Tj
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({B)Tj
/N10 8 Tf
14 -2 TD
(mn)Tj
/N10 12 Tf
10 2 TD
(}, )Tj
16 0 TD
(due )Tj
24 0 TD
(to )Tj
17 0 TD
(the)Tj
-417 -28 TD
0.021 Tc
(difference in equilibria. TOKQAS2_20q is also an \322equivalent tokamak\
\323, but one which)Tj
0 -28 TD
0.147 Tc
(is constrained to have the same q profile as QAS2_20 and therefore has l\
ower plasma q)Tj
T*
0.308 Tc
(than TOKQAS2_20. It has the same flux surface plot as TOKQAS2_20. The \
TOK0)Tj
T*
0 Tc
(geometry )Tj
51 0 TD
(is )Tj
14 0 TD
(obtained )Tj
47 0 TD
(from )Tj
29 0 TD
(an )Tj
17 0 TD
(analytic )Tj
44 0 TD
-0.166 Tc
(equilibrium )Tj
60 0 TD
0 Tc
(for )Tj
20 0 TD
(a )Tj
11 0 TD
-0.267 Tc
(high )Tj
26 0 TD
0.145 Tc
(aspect )Tj
38 0 TD
0 Tc
(ratio, )Tj
32 0 TD
(6% )Tj
23 0 TD
(beta)Tj
-412 -28 TD
(tokamak, with R and B as in the other QAS configurations.)Tj
36 -28 TD
0.244 Tc
(Figure 1 shows )Tj
83 0 TD
0 Tc
(the )Tj
21 0 TD
-0.266 Tc
(flux )Tj
24 0 TD
0 Tc
(surfaces )Tj
45 0 TD
(for )Tj
20 0 TD
(the )Tj
21 0 TD
(toroidal )Tj
43 0 TD
-0.22 Tc
(magnetic )Tj
48 0 TD
-0.088 Tc
(configurations )Tj
74 0 TD
0 Tc
(and)Tj
-415 -28 TD
0.075 Tc
(Figure 2 shows the q profiles. Flux surfaces and q profiles for QAS3\
_53 are similar to)Tj
0 -28 TD
0.029 Tc
(those of QAS3_34 and are not shown.)Tj
ET
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/N6 12 Tf
299.5 35 TD
(7)Tj
/N8 12 Tf
-191 674 TD
-0.136 Tc
0 Tw
(III. SIMULATIONS OF THERMAL ION TRANSPORT)Tj
/N10 12 Tf
36 -28 TD
0.159 Tc
( To study thermal ion transport, the ORBITMN guiding center code simulat\
ions)Tj
-36 -28 TD
-0.069 Tc
(followed a monoenergetic ensemble of 1000 to 4,000 particles, at 7 keV, \
in the equilibrium)Tj
0 -28 TD
0 Tc
(toroidal magnetic geometry of a T)Tj
/N10 8 Tf
164 -2 TD
(eo )Tj
/N10 12 Tf
11 2 TD
0.122 Tc
(= 3.5 keV, deuterium plasma. Good confinement of)Tj
-175 -28 TD
0.163 Tc
(these Maxwellian tail ions would confirm good neoclassical plasma )Tj
342 0 TD
0 Tc
(confinement )Tj
65 0 TD
(for )Tj
20 0 TD
(a)Tj
-427 -28 TD
0.326 Tc
(proposed experiment. A particle is declared lost when it reaches the la\
st )Tj
378 0 TD
0 Tc
(closed )Tj
36 0 TD
-0.333 Tc
(flux)Tj
-414 -28 TD
0 Tc
(surface. )Tj
44 0 TD
( )Tj
7 0 TD
(The )Tj
26 0 TD
0.333 Tc
(ORBITMN )Tj
65 0 TD
0 Tc
(simulations )Tj
62 0 TD
(used )Tj
30 0 TD
(only )Tj
30 0 TD
(the )Tj
23 0 TD
(50 )Tj
20 0 TD
(harmonics )Tj
57 0 TD
(from )Tj
31 0 TD
(the )Tj
23 0 TD
(set)Tj
-418 -28 TD
({B)Tj
/N10 8 Tf
14 -2 TD
(mn)Tj
/N10 12 Tf
10 2 TD
0.028 Tc
(}which have the highest peak amplitudes, out of a set of 304 harmonics \
obtained by)Tj
-24 -28 TD
0.085 Tc
(VMEC. The guiding center code simulation of particle orbits neglects fa\
st gyro-motion,)Tj
0 -28 TD
0.096 Tc
(but includes collisional effects. Slowing down processes were neglected\
but pitch angle)Tj
T*
0 Tc
(scattering )Tj
/N16 12 Tf
51 0 TD
(n)Tj
/N10 8 Tf
7 -2 TD
(pa)Tj
/N16 12 Tf
8 2 TD
1.054 Tc
(= n)Tj
/N16 7 Tf
19 -3 TD
(^)Tj
/N16 12 Tf
5 3 TD
0 Tc
(/2 )Tj
/N10 12 Tf
14 0 TD
0.078 Tc
(was included )Tj
70 0 TD
0 Tc
(for )Tj
20 0 TD
(N)Tj
/N10 8 Tf
9 -2 TD
(eo)Tj
/N10 12 Tf
8 2 TD
( )Tj
6 0 TD
(= )Tj
13 0 TD
(3x10)Tj
/N10 8 Tf
23 5 TD
(13)Tj
/N10 12 Tf
8 -5 TD
(/cm)Tj
/N10 8 Tf
17 5 TD
(3)Tj
/N10 12 Tf
4 -5 TD
(, )Tj
9 0 TD
(Zeff )Tj
27 0 TD
(= )Tj
13 0 TD
(2.5. )Tj
24 0 TD
( )Tj
6 0 TD
( )Tj
6 0 TD
(The )Tj
25 0 TD
-0.148 Tc
(collision)Tj
-392 -28 TD
-0.045 Tc
(frequency was assumed to have a radial dependence)Tj
/N6 12 Tf
248 0 TD
( )Tj
/N16 12 Tf
3 0 TD
(n)Tj
/N16 7 Tf
7 -3 TD
(^)Tj
/N16 12 Tf
5 3 TD
0.387 Tc
(= n)Tj
/N16 7 Tf
17 5 TD
(o)Tj
3 -8 TD
(^)Tj
/N16 12 Tf
5 3 TD
0.378 Tc
(\(1 - F)Tj
/N10 12 Tf
34 0 TD
(/)Tj
/N16 12 Tf
3 0 TD
(F)Tj
/N10 12 Tf
10 0 TD
0 Tc
(\(a\))Tj
/N16 12 Tf
13 0 TD
0.503 Tc
(\),)Tj
/N10 12 Tf
8 0 TD
0 Tc
( where )Tj
/N16 12 Tf
35 0 TD
(F)Tj
/N10 12 Tf
10 0 TD
0.334 Tc
( is the)Tj
-401 -28 TD
-0.033 Tc
(radial position in toroidal flux coordinates with)Tj
/N16 12 Tf
225 0 TD
0 Tc
( n)Tj
/N16 7 Tf
10 5 TD
(o)Tj
3 -8 TD
(^ )Tj
/N6 12 Tf
7 3 TD
(= )Tj
/N10 12 Tf
10 0 TD
(324 /sec.)Tj
-219 -28 TD
-0.022 Tc
( From particle orbit motions, we calculate the diffusion coefficients of\
the ions and)Tj
-36 -28 TD
0.133 Tc
(the loss fractions. Figure 3 shows the initial ion density profiles for\
thermal ions which)Tj
0 -28 TD
0.245 Tc
(were launched at r = a/2, with random poloidal, toroidal and pitch angle\
distributions.)Tj
T*
0.26 Tc
(Figs. 4-6 show simulation results for six of the toroidal geometries stu\
died. Figure )Tj
426 0 TD
(4)Tj
-426 -28 TD
0.033 Tc
(shows the final ion density profiles for 1000 particles after 400 toroid\
al transits \(the time)Tj
0 -28 TD
-0.02 Tc
(for one toroidal transit of an ion at the magnetic axis with velocity pa\
rallel to the magnetic)Tj
T*
0.026 Tc
(field line\). Figure 5 shows the thermal ion loss fraction as a functi\
on of elapsed time. In)Tj
T*
0.207 Tc
(Table II are shown the results for the loss fractions and diffusion coef\
ficients obtained)Tj
T*
0.268 Tc
(from the 1000 particle, 400 transit time simulations and for improved ac\
curacy, )Tj
409 0 TD
0 Tc
(from)Tj
-409 -28 TD
0.02 Tc
(simulations of 4000 particles for 40 transit times.)Tj
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0 0 612 792 RC
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/N6 12 Tf
299.5 35 TD
(8)Tj
/N10 12 Tf
-155 674 TD
-0.032 Tc
0 Tw
(In order to evaluate the diffusion coefficient, D )Tj
/N16 12 Tf
228 0 TD
(~)Tj
/N10 12 Tf
7 0 TD
( )Tj
/N16 12 Tf
3 0 TD
(D)Tj
/N10 12 Tf
8 0 TD
(r)Tj
/N10 8 Tf
4 5 TD
(2)Tj
/N10 12 Tf
4 -5 TD
0 Tc
(/2t, we define )Tj
/N16 12 Tf
68 0 TD
(C)Tj
/N10 8 Tf
9 -2 TD
(k)Tj
/N35 12 Tf
4 2 TD
( )Tj
/N10 12 Tf
3 0 TD
0.412 Tc
(= [)Tj
/N16 12 Tf
15 0 TD
(F)Tj
/N10 8 Tf
10 -2 TD
(k)Tj
/N6 12 Tf
4 2 TD
(/)Tj
/N16 12 Tf
3 0 TD
(F)Tj
/N6 12 Tf
10 0 TD
(\()Tj
/N10 12 Tf
4 0 TD
(a)Tj
/N6 12 Tf
5 0 TD
0 Tc
(\)])Tj
/N10 12 Tf
-425 -28 TD
(with)Tj
/N6 12 Tf
22 0 TD
( )Tj
/N16 12 Tf
3 0 TD
(F)Tj
/N10 8 Tf
10 -2 TD
(k)Tj
/N10 12 Tf
4 2 TD
0.091 Tc
( being the radial position of the kth ion in toroidal flux coordinates a\
nd)Tj
/N16 12 Tf
347 0 TD
0.922 Tc
( F)Tj
/N10 12 Tf
14 0 TD
0.146 Tc
(\(a\) the)Tj
-400 -28 TD
-0.114 Tc
(edge toroidal flux. Also )Tj
/N16 12 Tf
117 0 TD
(C)Tj
/N10 8 Tf
9 -2 TD
(k)Tj
/N6 7 Tf
4 -1 TD
(o)Tj
/N35 12 Tf
4 3 TD
( )Tj
/N10 12 Tf
3 0 TD
0 Tc
(= [)Tj
/N16 12 Tf
14 0 TD
(F)Tj
/N10 8 Tf
10 -2 TD
(k)Tj
/N6 7 Tf
4 -1 TD
(o)Tj
/N6 12 Tf
4 3 TD
( /)Tj
/N16 12 Tf
6 0 TD
(F)Tj
/N6 12 Tf
10 0 TD
(\()Tj
/N10 12 Tf
4 0 TD
(a)Tj
/N6 12 Tf
5 0 TD
(\)], )Tj
/N10 12 Tf
13 0 TD
(where)Tj
/N6 12 Tf
29 0 TD
( )Tj
/N16 12 Tf
3 0 TD
(F)Tj
/N10 8 Tf
10 -2 TD
(k)Tj
/N6 7 Tf
4 -1 TD
(o)Tj
/N10 12 Tf
4 3 TD
0.163 Tc
( is the initial position of the kth ion)Tj
-257 -28 TD
-0.037 Tc
(in toroidal flux coordinates. Fig. 6 shows the evolution of)Tj
108 -28 TD
0 Tc
( f\(t\))Tj
/N6 12 Tf
19 0 TD
( = 1/\(2)Tj
/N10 12 Tf
34 0 TD
(N)Tj
/N6 7 Tf
9 -3 TD
(k )Tj
/N6 12 Tf
6 3 TD
(\) )Tj
/N16 12 Tf
7 0 TD
(\345)Tj
/N6 12 Tf
9 0 TD
( )Tj
/N6 7 Tf
3 -3 TD
(k)Tj
/N6 12 Tf
3 3 TD
( \()Tj
/N16 12 Tf
7 0 TD
(C)Tj
/N10 8 Tf
9 -2 TD
(k)Tj
/N6 7 Tf
4 7 TD
(0.5)Tj
/N6 12 Tf
10 -5 TD
( - )Tj
/N16 12 Tf
10 0 TD
(C)Tj
/N10 8 Tf
9 -2 TD
(k)Tj
/N6 7 Tf
4 -1 TD
(o)Tj
4 8 TD
(0.5)Tj
/N6 12 Tf
10 -5 TD
(\))Tj
/N6 7 Tf
4 5 TD
(2)Tj
/N6 12 Tf
4 -5 TD
( )Tj
/N10 12 Tf
3 0 TD
(a)Tj
/N6 7 Tf
5 5 TD
(2)Tj
/N10 12 Tf
4 -5 TD
(.)Tj
6 0 TD
( )Tj
-291 -28 TD
(N)Tj
/N6 7 Tf
9 -3 TD
(k)Tj
/N10 12 Tf
3 3 TD
0.069 Tc
( is the number of particles in the ensemble and a = midplane average rad\
ius at toroidal)Tj
-12 -28 TD
-0.331 Tc
(angle )Tj
/N16 12 Tf
29 0 TD
0.874 Tc
(f )Tj
/N10 12 Tf
13 0 TD
0.305 Tc
(= 0. The diffusion coefficients D in )Tj
187 0 TD
0 Tc
(the )Tj
21 0 TD
(Table )Tj
33 0 TD
(are )Tj
20 0 TD
(obtained )Tj
47 0 TD
(from )Tj
29 0 TD
(D )Tj
15 0 TD
(=)Tj
/N6 12 Tf
7 0 TD
( )Tj
/N16 12 Tf
6 0 TD
(d)Tj
/N10 12 Tf
7 0 TD
(f)Tj
/N6 12 Tf
4 0 TD
(/)Tj
/N16 12 Tf
3 0 TD
(d)Tj
/N10 12 Tf
7 0 TD
(t)Tj
-428 -28 TD
(\(/a\))Tj
/N10 8 Tf
35 5 TD
(2)Tj
/N10 12 Tf
4 -5 TD
(, where )Tj
/N16 12 Tf
38 0 TD
(d)Tj
/N10 12 Tf
7 0 TD
(f)Tj
/N6 12 Tf
4 0 TD
(/)Tj
/N16 12 Tf
3 0 TD
(d)Tj
/N10 12 Tf
7 0 TD
0.021 Tc
(t has been scaled by the square of the ratio of the stellarator-averaged\
)Tj
-98 -28 TD
-0.049 Tc
(minor radius to the midplane stellarator average radius at )Tj
/N16 12 Tf
274 0 TD
(f)Tj
/N10 12 Tf
8 0 TD
0 Tc
(=0.)Tj
-246 -28 TD
0.326 Tc
(For accurate determinations of D it is important that the simulation not\
lose a)Tj
-36 -28 TD
0 Tc
(large ion fraction from the last closed flux surface. Figure 5 and Tabl\
e II show that all the)Tj
0 -28 TD
0.22 Tc
(QAS except QAS2_20 have loss fractions greater than 10% after 400 toroid\
al transits.)Tj
T*
-0.03 Tc
(Such high loss rates give erroneous estimates for D, as \322lost\323 par\
ticles are held fixed at the)Tj
T*
0.069 Tc
(plasma edge and the high diffusion of the configuration does not continu\
e to be reflected)Tj
T*
0.245 Tc
(in the accumulating quantity f\(t\). The diffusion coefficients for most\
of the stellarator)Tj
T*
0.227 Tc
(designs were evaluated with 4000 particle, 40 toroidal transit time simu\
lations. )Tj
403 0 TD
0 Tc
(These)Tj
-403 -28 TD
0.049 Tc
(simulation times were held short enough to give total losses less than a\
bout 5%. In some)Tj
0 -28 TD
0.018 Tc
(cases D was not evaluated where particle transport was intrinsically ver\
y high.)Tj
36 -28 TD
0 Tc
(These )Tj
39 0 TD
(stellarators )Tj
63 0 TD
(have )Tj
32 0 TD
-0.165 Tc
(complex )Tj
50 0 TD
-0.091 Tc
(three-dimensional )Tj
95 0 TD
-0.166 Tc
(regions )Tj
44 0 TD
0 Tc
(with )Tj
32 0 TD
(different)Tj
-391 -28 TD
0.073 Tc
(stochastic ripple thresholds, unlike the rather well-defined two-dimensi\
onal confinement)Tj
0 -28 TD
0.335 Tc
(domains of tokamaks, for example see Ref. 12. In contrast to the tokama\
k )Tj
388 0 TD
0 Tc
(case, )Tj
29 0 TD
(the)Tj
-417 -28 TD
0.107 Tc
(behavior of plasma ions in QAS is not a simple diffusion, but a sum of p\
rocesses for the)Tj
0 -28 TD
0.077 Tc
(threshold criteria. Comparing the fractional losses in Table II for 40 t\
ransit times and for)Tj
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/N6 12 Tf
299.5 35 TD
(9)Tj
/N10 12 Tf
-191 674 TD
0.127 Tc
0 Tw
(400 transit times, we would expect, since the time increases by 10, that\
the loss fraction)Tj
0 -28 TD
0.146 Tc
(would increase by ~ 10)Tj
/N10 8 Tf
115 5 TD
0 Tc
(0.5 )Tj
/N10 12 Tf
13 -5 TD
0.148 Tc
(~ 3, if diffusive loss was dominant. The TOK0 configuration)Tj
-128 -28 TD
0.267 Tc
(does show )Tj
59 0 TD
0 Tc
(this )Tj
24 0 TD
(behavior. )Tj
50 0 TD
(QAS4_40 )Tj
54 0 TD
(is )Tj
14 0 TD
(the )Tj
21 0 TD
(only )Tj
28 0 TD
(one )Tj
23 0 TD
(of )Tj
16 0 TD
(the )Tj
21 0 TD
(stellarator )Tj
54 0 TD
-0.094 Tc
(configurations)Tj
-364 -28 TD
-0.059 Tc
(considered which has an overall diffusive behavior. All the other stell\
arator configurations)Tj
0 -28 TD
0.137 Tc
(show greater losses than simple diffusion would predict, in some cases b\
y more than an)Tj
T*
0.052 Tc
(order of magnitude \()Tj
/N40 12 Tf
100 0 TD
0 Tc
(viz.)Tj
/N10 12 Tf
17 0 TD
0.334 Tc
( QAS2_20, QAS3_34, QAS3_53\). This indicates that the ion)Tj
-117 -28 TD
0.263 Tc
(motion is primarily due to slow stochastic field ripple diffusion, or to\
slow stellarator)Tj
0 -28 TD
0.124 Tc
(ripple trapping loss, whre the ion follows a helical path. This last is\
very different from)Tj
T*
0.035 Tc
(the vertical drift motion found for tokamak ripple trapped ion loss.)Tj
36 -28 TD
0.074 Tc
( We find in Table II that the QAS2_20 design has particle transport ve\
ry similar)Tj
-36 -28 TD
0.138 Tc
(to that of an equivalent tokamak with no external field coils, TOKQAS2_2\
0, \(D ~ 8000)Tj
0 -28 TD
0 Tc
(cm)Tj
/N10 8 Tf
14 5 TD
(2)Tj
/N10 12 Tf
4 -5 TD
0.196 Tc
(/sec\). This equivalent tokamak has lower iota, and higher plasma q th\
an the QAS.)Tj
417 0 TD
( )Tj
-435 -28 TD
0.354 Tc
(The QAS2_20 and )Tj
105 0 TD
0.121 Tc
(TOKQAS2_20 )Tj
80 0 TD
0 Tc
(diffusion )Tj
49 0 TD
(coefficients )Tj
61 0 TD
(are )Tj
20 0 TD
(about )Tj
33 0 TD
(twice )Tj
32 0 TD
(as )Tj
16 0 TD
-0.267 Tc
(high )Tj
26 0 TD
0 Tc
(as)Tj
-422 -28 TD
0.079 Tc
(TOKQAS2_20q, the tokamak of the same plasma size and magnetic field, but\
which has)Tj
0 -28 TD
0 Tc
(the same q\(r\) profile as QAS2_20.)Tj
168 0 TD
( )Tj
-132 -28 TD
0.06 Tc
(The Table shows that particle transport in QAS configurations was poorer\
than in)Tj
-36 -28 TD
0 Tc
(the equivalent tokamak, particularly when q was held fixed. This can be\
seen for both the)Tj
0 -28 TD
0.232 Tc
(two field period and three field period cases. Although QAS2_40 and QAS\
4_40 have)Tj
T*
0 Tc
(high diffusion coefficients, good particle transport can be achieved wit\
h a high fraction of)Tj
T*
-0.019 Tc
(external iota as shown by the low diffusion coefficient of QAS3_53.)Tj
36 -28 TD
-0.066 Tc
(For quasi-axisymmetric toroidal magnetic configurations, the canonical m\
omentum)Tj
-36 -28 TD
0.203 Tc
(of passing ions will be quasi-conserved, so that as for tokamaks we migh\
t expect QAS)Tj
0 -28 TD
0.237 Tc
(particle confinement to be better )Tj
170 0 TD
0 Tc
(for )Tj
20 0 TD
-0.267 Tc
(high )Tj
26 0 TD
-0.33 Tc
(edge )Tj
27 0 TD
0 Tc
(poloidal )Tj
45 0 TD
-0.333 Tc
(flux)Tj
/N10 8 Tf
18 5 TD
0 Tc
(21)Tj
/N10 12 Tf
8 -5 TD
(. )Tj
9 0 TD
( )Tj
6 0 TD
(Table )Tj
33 0 TD
(III )Tj
18 0 TD
(shows )Tj
37 0 TD
(the)Tj
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0 0 612 792 RC
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/N6 12 Tf
292.5 35 TD
0 Tc
0 Tw
(10)Tj
/N10 12 Tf
-184 674 TD
(diffusion )Tj
50 0 TD
(coefficients )Tj
62 0 TD
-0.277 Tc
(along )Tj
32 0 TD
0 Tc
(with )Tj
29 0 TD
(parameters )Tj
60 0 TD
(for )Tj
21 0 TD
(each )Tj
28 0 TD
-0.22 Tc
(magnetic )Tj
50 0 TD
-0.118 Tc
(configuration )Tj
71 0 TD
0 Tc
(which)Tj
-403 -28 TD
0.137 Tc
(neoclassical theory predicts will affect particle transport and the valu\
e of D: the edge q,)Tj
0 -28 TD
0 Tc
(the edge poloidal flux, )Tj
/N16 12 Tf
112 0 TD
(Y)Tj
/N6 7 Tf
10 -3 TD
0.308 Tc
(edge)Tj
/N10 12 Tf
17 3 TD
0.195 Tc
(, in addition to the stellarator-averaged radius , and the)Tj
-139 -28 TD
0 Tc
(outer midplane radius at \()Tj
/N16 12 Tf
123 0 TD
(q)Tj
/N10 12 Tf
7 0 TD
(=0,)Tj
/N16 12 Tf
16 0 TD
(f)Tj
/N10 12 Tf
8 0 TD
(=0\), a)Tj
/N10 8 Tf
28 -2 TD
(0,0)Tj
/N10 12 Tf
10 2 TD
0.071 Tc
(, and a measure of the stellarator field line ripple,)Tj
-192 -28 TD
-0.086 Tc
(W, discussed in Section IV.)Tj
134 0 TD
( )Tj
-98 -28 TD
-0.044 Tc
(We see that tokamak confinement is indeed improved by high)Tj
/N6 12 Tf
295 0 TD
( )Tj
/N16 12 Tf
3 0 TD
(Y)Tj
/N6 7 Tf
10 -3 TD
0.308 Tc
(edge)Tj
/N10 12 Tf
17 3 TD
0 Tc
( and by greater)Tj
-361 -28 TD
0.08 Tc
(distance between the plasma magnetic axis and the last closed flux surfa\
ce, a)Tj
/N10 8 Tf
375 -2 TD
0 Tc
(0,0)Tj
/N10 12 Tf
10 2 TD
0.566 Tc
(. This is)Tj
-385 -28 TD
0.219 Tc
(equivalent to smaller particle losses being correlated to a small ratio \
of the ion banana)Tj
0 -28 TD
-0.063 Tc
(width to average minor radius, )Tj
/N16 12 Tf
148 0 TD
(r)Tj
/N10 12 Tf
7 0 TD
0 Tc
(/a. Note the higher loss rates \(Table II\) for the high aspect)Tj
-155 -28 TD
(ratio tokamak, TOK0, which has smaller)Tj
/N6 12 Tf
195 0 TD
( )Tj
/N16 12 Tf
3 0 TD
(Y)Tj
/N6 7 Tf
10 -3 TD
0.308 Tc
(edge)Tj
/N6 12 Tf
17 3 TD
0 Tc
(, )Tj
/N10 12 Tf
6 0 TD
(and)Tj
/N6 12 Tf
17 0 TD
( )Tj
/N10 12 Tf
3 0 TD
0.086 Tc
(, than TOKQAS2_20.)Tj
-215 -28 TD
0 Tc
(The diffusion coefficients found from thermal ion transport simulations \
are shown)Tj
-36 -28 TD
0.037 Tc
(in Fig. 7 versus the edge poloidal flux for B=1.4 T. For the equivalent \
tokamak cases, the)Tj
0 -28 TD
0.055 Tc
(particle confinement does improve as the edge poloidal flux increases. F\
or the tokamaks,)Tj
T*
-0.052 Tc
(the decrease in D is not as large as expected from the q)Tj
/N10 8 Tf
261 5 TD
(2)Tj
/N10 12 Tf
4 -5 TD
-0.037 Tc
( dependence of analytic models for)Tj
-265 -28 TD
0.166 Tc
(tokamak neoclassical diffusive transport in the banana regime)Tj
/N10 8 Tf
307 5 TD
0 Tc
(22)Tj
/N10 12 Tf
8 -5 TD
0.722 Tc
(. This is )Tj
59 0 TD
0 Tc
(because )Tj
43 0 TD
(the)Tj
-417 -28 TD
-0.08 Tc
(thermal ions are not deep in the banana regime; )Tj
/N16 12 Tf
230 0 TD
(n)Tj
/N10 12 Tf
7 0 TD
0.115 Tc
(* is not sufficiently lower than 1 \(Table)Tj
-237 -28 TD
0.013 Tc
(IV\). High values of q and large ion banana widths effectively delocal\
ize particle motion,)Tj
0 -28 TD
-0.085 Tc
(making the analytic, zero banana width neoclassical model inaccurate.)Tj
335 0 TD
( )Tj
-299 -28 TD
0.121 Tc
(The overall trend of the QAS particle confinement does not improve with \
higher)Tj
-36 -28 TD
0.217 Tc
(edge poloidal flux. The best QAS confinement is found for QAS2_20, QAS3\
_34, and)Tj
0 -28 TD
0.444 Tc
(QAS3_53. But )Tj
90 0 TD
0 Tc
(when )Tj
32 0 TD
(QAS3_53, )Tj
57 0 TD
(is )Tj
14 0 TD
(scaled )Tj
35 0 TD
(to )Tj
16 0 TD
(1 )Tj
12 0 TD
(T )Tj
14 0 TD
(and )Tj
23 0 TD
(compared )Tj
53 0 TD
(to )Tj
16 0 TD
(the )Tj
21 0 TD
(equivalent)Tj
-383 -28 TD
0.194 Tc
(tokamak \(same q profile\), )Tj
135 0 TD
0 Tc
(we )Tj
20 0 TD
(find )Tj
25 0 TD
(five )Tj
24 0 TD
(times )Tj
32 0 TD
-0.163 Tc
(greater )Tj
38 0 TD
0 Tc
(losses )Tj
35 0 TD
(in )Tj
15 0 TD
(the )Tj
21 0 TD
(QAS )Tj
30 0 TD
(than )Tj
27 0 TD
(in )Tj
15 0 TD
(the)Tj
-417 -28 TD
(tokamak \(Table II, 17% )Tj
/N40 12 Tf
117 0 TD
0.502 Tc
(vs)Tj
/N10 12 Tf
11 0 TD
0 Tc
( 3%\))Tj
/N6 12 Tf
23 0 TD
(.)Tj
ET
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0 0 612 792 RC
BT
/N6 12 Tf
292.5 35 TD
0 Tc
0 Tw
(11)Tj
/N10 12 Tf
-184 674 TD
( )Tj
36 0 TD
( )Tj
7 0 TD
(The )Tj
26 0 TD
0.333 Tc
(ORBITMN )Tj
65 0 TD
0 Tc
(code )Tj
29 0 TD
(has )Tj
23 0 TD
(been )Tj
29 0 TD
-0.136 Tc
(benchmarked )Tj
70 0 TD
0 Tc
(against )Tj
41 0 TD
(the )Tj
23 0 TD
0.239 Tc
(Mynick )Tj
47 0 TD
0 Tc
(particle)Tj
-396 -28 TD
0.317 Tc
(transport code, GC3)Tj
/N10 8 Tf
103 5 TD
0 Tc
(20)Tj
/N10 12 Tf
8 -5 TD
(, )Tj
9 0 TD
(which )Tj
35 0 TD
(found )Tj
34 0 TD
(D )Tj
15 0 TD
(= )Tj
13 0 TD
(7426 )Tj
30 0 TD
(cm)Tj
/N10 8 Tf
14 5 TD
(2)Tj
/N10 12 Tf
4 -5 TD
(/sec )Tj
24 0 TD
(for )Tj
20 0 TD
(thermal )Tj
42 0 TD
(ion )Tj
21 0 TD
0.234 Tc
(transport )Tj
51 0 TD
0 Tc
(in)Tj
-423 -28 TD
0.182 Tc
(QAS2_20. This is in satisfactory agreement with the ORBITMN diffusion c\
oefficient,)Tj
0 -28 TD
0 Tc
(D )Tj
15 0 TD
(= )Tj
13 0 TD
(8570 )Tj
30 0 TD
(cm)Tj
/N10 8 Tf
14 5 TD
(2)Tj
/N10 12 Tf
4 -5 TD
(/sec; )Tj
27 0 TD
(the )Tj
21 0 TD
0.333 Tc
(ORBITMN )Tj
65 0 TD
0 Tc
(diffusion )Tj
50 0 TD
(coefficients )Tj
62 0 TD
(are )Tj
21 0 TD
(estimated )Tj
53 0 TD
(to )Tj
17 0 TD
(have )Tj
29 0 TD
(an)Tj
-421 -28 TD
(accuracy of )Tj
/N16 12 Tf
61 0 TD
(\261)Tj
/N10 12 Tf
7 0 TD
( 20%.)Tj
-32 -28 TD
0.216 Tc
(This Section has surveyed thermal particle transport in a set of QAS des\
igns of)Tj
-36 -28 TD
0.075 Tc
(PBX-M size, characterized by magnetohydrodynamic \(MHD\) ballooning mode\
stability.)Tj
0 -28 TD
0.058 Tc
(We wished to see whether a PBX-M size QAS plasma at density and temperat\
ure similar)Tj
T*
0.253 Tc
(to PBX-M experiments would have low enough neoclassical transport that i\
nteresting)Tj
T*
0.309 Tc
(experiments could be carried out over times ~ 30 msec, typical of those \
)Tj
371 0 TD
0 Tc
(experiments.)Tj
-371 -28 TD
0.191 Tc
(Anomalous transport, )Tj
114 0 TD
0 Tc
(which )Tj
35 0 TD
(is )Tj
14 0 TD
(not )Tj
22 0 TD
0.335 Tc
(yet )Tj
22 0 TD
0 Tc
(well )Tj
26 0 TD
(understood )Tj
60 0 TD
(theoretically, )Tj
69 0 TD
(could )Tj
32 0 TD
(then )Tj
27 0 TD
(be)Tj
-421 -28 TD
(studied. Since a characteristic particle confinement time can be estima\
ted from D = a)Tj
/N10 8 Tf
410 5 TD
(2)Tj
/N10 12 Tf
4 -5 TD
(/4)Tj
/N16 12 Tf
9 0 TD
(t,)Tj
/N10 12 Tf
-423 -28 TD
(with a = 20 cm and D = 8000 cm)Tj
/N10 8 Tf
158 5 TD
(2)Tj
/N10 12 Tf
4 -5 TD
0.048 Tc
(/sec, the plasma would be confined for a time ~13 msec)Tj
-162 -28 TD
-0.015 Tc
(in QAS2_20. Simulations of QAS3_53 with the magnetic field reduced to \
1 T, instead of)Tj
0 -28 TD
0 Tc
(1.4 T, show larger particle loss fractions and reduced particle confinem\
ent. This design at)Tj
T*
0.164 Tc
(1T loses more than 5 times as many plasma ions as does the equivalent lo\
w q tokamak,)Tj
T*
0.115 Tc
(which would confine plasma for a time ~28 msec. It will be necessary to\
further reduce)Tj
T*
0.192 Tc
(the magnetic field ripple in these QAS designs to obtain performance com\
parable with)Tj
T*
0.133 Tc
(that found in PBX-M.)Tj
/N8 12 Tf
0 -56 TD
-0.146 Tc
(IV. SIMULATIONS OF NEUTRAL BEAM ION TRANSPORT)Tj
/N10 12 Tf
36 -28 TD
0.137 Tc
(In the previous Section we presented simulations of thermal particle tra\
nsport in)Tj
-36 -28 TD
0.255 Tc
(several QAS of PBX-M size. In the following two sections we describe th\
e results of)Tj
ET
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0 0 612 792 RC
BT
/N6 12 Tf
292.5 35 TD
0 Tc
0 Tw
(12)Tj
/N10 12 Tf
-184 674 TD
(simulations )Tj
63 0 TD
(of )Tj
18 0 TD
(neutral )Tj
41 0 TD
(beam )Tj
34 0 TD
(orbits )Tj
37 0 TD
(corresponding )Tj
77 0 TD
(to )Tj
19 0 TD
(experiments )Tj
67 0 TD
(in )Tj
18 0 TD
(these )Tj
34 0 TD
(QAS)Tj
-408 -28 TD
0.067 Tc
(configurations with )Tj
101 0 TD
0 Tc
(beam )Tj
31 0 TD
(ion )Tj
21 0 TD
(parameters )Tj
59 0 TD
-0.166 Tc
(similar )Tj
38 0 TD
0 Tc
(to )Tj
16 0 TD
0.284 Tc
(PBX-M, )Tj
49 0 TD
0 Tc
(with )Tj
28 0 TD
(beam )Tj
31 0 TD
(ion )Tj
21 0 TD
(profiles)Tj
-395 -28 TD
-0.11 Tc
(having low and high edge deposition.)Tj
/N8 12 Tf
0 -56 TD
0.094 Tc
(Section IV.A Simulations for Low Edge Beam Deposition)Tj
/N10 12 Tf
36 -28 TD
-0.029 Tc
(Initial simulations were carried out with a radial deposition profile as\
calculated by)Tj
-36 -28 TD
0.233 Tc
(the TRANSP)Tj
/N10 8 Tf
66 5 TD
0 Tc
(23)Tj
/N10 12 Tf
8 -5 TD
0.112 Tc
( analysis code for 40 keV deuterium, neutral beam ions given by the flux\
)Tj
-74 -28 TD
-0.024 Tc
(surface averaged, total beam ion density profile \(Figure 8, low edge de\
position profile\) for)Tj
0 -28 TD
0.182 Tc
(PBX-M shot 60678, which reached 7% )Tj
/N16 12 Tf
199 0 TD
(b)Tj
/N10 12 Tf
7 0 TD
0.257 Tc
(. This profile was calculated by TRANSP to)Tj
-206 -28 TD
0 Tc
(include all beam line orientations and all beam ion energies, but does n\
ot include ions lost)Tj
0 -28 TD
0.013 Tc
(to first orbit and charge exchange. The ORBIT simulations modelled only\
the full energy)Tj
T*
0.024 Tc
(ions with this TRANSP profile for each beam line. The profile is broade\
r, but with lower)Tj
T*
-0.33 Tc
(edge )Tj
28 0 TD
0.091 Tc
(deposition )Tj
58 0 TD
0 Tc
(than )Tj
28 0 TD
(the )Tj
22 0 TD
(full )Tj
23 0 TD
(energy, )Tj
42 0 TD
-0.108 Tc
(co-parallel )Tj
57 0 TD
0 Tc
(beam )Tj
32 0 TD
0.091 Tc
(deposition )Tj
58 0 TD
0 Tc
(profile )Tj
40 0 TD
(used )Tj
30 0 TD
(for)Tj
-418 -28 TD
(simulations )Tj
61 0 TD
(discussed )Tj
52 0 TD
(in )Tj
15 0 TD
(the )Tj
21 0 TD
(next )Tj
26 0 TD
(section. )Tj
44 0 TD
(Unless )Tj
40 0 TD
(otherwise )Tj
54 0 TD
(noted, )Tj
37 0 TD
(beam )Tj
32 0 TD
(ions )Tj
27 0 TD
(were)Tj
-409 -28 TD
0.066 Tc
(launched at the midplane, )Tj
/N16 12 Tf
129 0 TD
(q)Tj
/N10 12 Tf
7 0 TD
0.062 Tc
(=0, with random toroidal angle )Tj
/N16 12 Tf
155 0 TD
0.583 Tc
(f, )Tj
/N10 12 Tf
15 0 TD
0.223 Tc
(with pitch, )Tj
/N16 12 Tf
58 0 TD
(l)Tj
/N10 12 Tf
7 0 TD
0.085 Tc
(, determined)Tj
-371 -28 TD
0 Tc
(by the tangency radius \(R)Tj
/N10 8 Tf
124 -2 TD
(tan)Tj
/N10 12 Tf
10 2 TD
0.05 Tc
(\) corresponding to each of the four PBX-M beam lines \( )Tj
/N16 12 Tf
276 0 TD
(l)Tj
/N10 12 Tf
7 0 TD
0.744 Tc
( =)Tj
-417 -28 TD
0 Tc
([R)Tj
/N10 8 Tf
12 -2 TD
(tan)Tj
/N10 12 Tf
10 2 TD
( /R][B)Tj
/N16 12 Tf
30 0 TD
0.671 Tc
(\(0\))Tj
/N10 12 Tf
16 0 TD
0 Tc
(/B\(r\)] \).)Tj
-32 -28 TD
0.072 Tc
(The collision )Tj
70 0 TD
-0.108 Tc
(frequencies )Tj
60 0 TD
0 Tc
(were )Tj
29 0 TD
(estimated )Tj
52 0 TD
-0.167 Tc
(using )Tj
31 0 TD
0 Tc
(standard )Tj
47 0 TD
(formulations)Tj
/N10 8 Tf
61 5 TD
(24)Tj
/N10 12 Tf
8 -5 TD
(, )Tj
9 0 TD
(which)Tj
-403 -28 TD
(depend )Tj
42 0 TD
(on )Tj
19 0 TD
(the )Tj
22 0 TD
(electron )Tj
45 0 TD
0.148 Tc
(density, )Tj
46 0 TD
0 Tc
(the )Tj
22 0 TD
(electron )Tj
45 0 TD
(temperature )Tj
65 0 TD
(and )Tj
24 0 TD
(the )Tj
22 0 TD
-0.22 Tc
(level )Tj
29 0 TD
0 Tc
(of )Tj
17 0 TD
(plasma)Tj
-398 -28 TD
0.069 Tc
(impurities. The energy slowing down rate is given by )Tj
/N16 12 Tf
267 0 TD
(n)Tj
/N16 7 Tf
7 -3 TD
(e)Tj
/N10 12 Tf
3 3 TD
0 Tc
(= )Tj
/N16 12 Tf
11 0 TD
(n)Tj
/N16 7 Tf
7 -3 TD
(e)Tj
/N10 8 Tf
3 8 TD
(ie)Tj
6 -7 TD
0.744 Tc
( +)Tj
/N10 12 Tf
8 2 TD
( )Tj
/N16 12 Tf
4 0 TD
(n)Tj
/N16 7 Tf
7 -3 TD
(e)Tj
/N10 8 Tf
3 8 TD
0.072 Tc
(i,thermal ions)Tj
45 -7 TD
0.744 Tc
( +)Tj
/N10 12 Tf
8 2 TD
( )Tj
/N16 12 Tf
4 0 TD
(n)Tj
/N16 7 Tf
7 -3 TD
(e)Tj
/N10 8 Tf
3 8 TD
0 Tc
(i,impurities)Tj
/N10 12 Tf
36 -5 TD
(.)Tj
-429 -28 TD
(Here )Tj
/N16 12 Tf
26 0 TD
(n)Tj
/N16 7 Tf
7 -3 TD
(e)Tj
/N10 8 Tf
3 8 TD
(ie)Tj
/N10 12 Tf
6 -5 TD
(= 2 )Tj
/N16 12 Tf
19 0 TD
(n)Tj
/N10 8 Tf
7 -2 TD
(s )Tj
5 7 TD
(ie)Tj
/N10 12 Tf
6 -5 TD
(- )Tj
/N16 12 Tf
7 0 TD
(n)Tj
/N16 7 Tf
7 -3 TD
(^)Tj
/N10 8 Tf
5 8 TD
(ie)Tj
/N10 12 Tf
6 -5 TD
(- )Tj
/N16 12 Tf
7 0 TD
(n)Tj
/N10 8 Tf
7 -2 TD
(// )Tj
6 7 TD
(ie)Tj
6 -7 TD
( )Tj
/N10 12 Tf
4 2 TD
0.043 Tc
(; each term is proportional to N)Tj
/N10 8 Tf
152 -2 TD
(e)Tj
/N10 12 Tf
4 2 TD
0.082 Tc
(. The second and third terms)Tj
-290 -28 TD
0.148 Tc
(in the energy loss rate, )Tj
/N16 12 Tf
116 0 TD
(n)Tj
/N16 7 Tf
7 -3 TD
(e)Tj
/N10 8 Tf
3 8 TD
0.072 Tc
(i,thermal ions)Tj
45 -7 TD
0.744 Tc
( +)Tj
/N10 12 Tf
8 2 TD
( )Tj
/N16 12 Tf
4 0 TD
(n)Tj
/N16 7 Tf
7 -3 TD
(e)Tj
/N10 8 Tf
3 8 TD
0 Tc
(i,impurities)Tj
/N10 12 Tf
36 -5 TD
0.323 Tc
(, are each proportional to N)Tj
/N10 8 Tf
141 -2 TD
(i)Tj
/N10 12 Tf
2 2 TD
(Z)Tj
/N10 8 Tf
8 -2 TD
(i)Tj
/N10 12 Tf
2 2 TD
(/)Tj
/N16 12 Tf
3 0 TD
(m)Tj
/N10 8 Tf
8 -2 TD
(i)Tj
/N10 12 Tf
2 2 TD
0.906 Tc
(. The)Tj
-395 -28 TD
-0.027 Tc
(pitch angle scattering collision rates include scattering from thermal i\
ons and impurities as)Tj
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0 0 612 792 RC
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/N6 12 Tf
292.5 35 TD
0 Tc
0 Tw
(13)Tj
/N10 12 Tf
-184 674 TD
(well as a tiny contribution from electrons: )Tj
/N16 12 Tf
204 0 TD
(n)Tj
/N16 7 Tf
7 -3 TD
(^)Tj
/N10 12 Tf
5 3 TD
( = )Tj
/N16 12 Tf
13 0 TD
(n)Tj
/N16 7 Tf
7 -3 TD
(^)Tj
/N10 8 Tf
5 8 TD
(ie)Tj
/N10 12 Tf
6 -5 TD
( + )Tj
/N16 12 Tf
13 0 TD
(n)Tj
/N16 7 Tf
7 -3 TD
(^)Tj
/N10 8 Tf
5 8 TD
0.072 Tc
(i,thermal ions)Tj
/N10 12 Tf
45 -5 TD
0.411 Tc
( + )Tj
/N16 12 Tf
15 0 TD
(n)Tj
/N16 7 Tf
7 -3 TD
(^)Tj
/N10 8 Tf
5 8 TD
0 Tc
(i,impurities)Tj
/N10 12 Tf
36 -5 TD
0.103 Tc
(. Whereas)Tj
/N16 12 Tf
-380 -28 TD
(n)Tj
/N16 7 Tf
7 -3 TD
(^)Tj
/N10 8 Tf
5 8 TD
0 Tc
(ie)Tj
/N10 12 Tf
6 -5 TD
0.127 Tc
( is proportional to N)Tj
/N10 8 Tf
100 -2 TD
(e)Tj
/N10 12 Tf
4 2 TD
0 Tc
(, the sum {)Tj
/N16 12 Tf
53 0 TD
(n)Tj
/N16 7 Tf
7 -3 TD
(^)Tj
/N10 8 Tf
5 8 TD
(i,thermal ions)Tj
/N10 12 Tf
44 -5 TD
( + )Tj
/N16 12 Tf
13 0 TD
(n)Tj
/N16 7 Tf
7 -3 TD
(^)Tj
/N10 8 Tf
5 8 TD
(i,impurities)Tj
/N10 12 Tf
36 -5 TD
0.122 Tc
(} is proportional to N)Tj
/N10 8 Tf
112 -2 TD
(e)Tj
/N10 12 Tf
4 2 TD
0 Tc
( Z)Tj
/N10 8 Tf
11 -2 TD
0.374 Tc
(eff)Tj
/N10 12 Tf
10 2 TD
(.)Tj
-393 -28 TD
0.14 Tc
(The background plasma was taken to be primarily deuterium with Zeff set \
equal)Tj
-36 -28 TD
0 Tc
(to )Tj
16 0 TD
(1.8, )Tj
24 0 TD
(rather )Tj
34 0 TD
(than )Tj
27 0 TD
(the )Tj
21 0 TD
(more )Tj
30 0 TD
0.168 Tc
(typical )Tj
40 0 TD
0 Tc
(2.7, )Tj
24 0 TD
(and )Tj
23 0 TD
(with )Tj
28 0 TD
-0.288 Tc
(average )Tj
42 0 TD
0 Tc
(plasma )Tj
41 0 TD
(temperature )Tj
65 0 TD
(and)Tj
-415 -28 TD
0.225 Tc
(densities similar to PBX-M experiments. The volume average plasma para\
meters are)Tj
0 -28 TD
(T)Tj
/N10 8 Tf
8 -2 TD
(e)Tj
/N10 12 Tf
4 2 TD
0.143 Tc
(=1.3 keV, N)Tj
/N10 8 Tf
61 -2 TD
0 Tc
(e )Tj
/N10 12 Tf
7 2 TD
(= 4x10)Tj
/N10 8 Tf
34 5 TD
(13)Tj
/N10 12 Tf
8 -5 TD
(/cm)Tj
/N10 8 Tf
17 5 TD
(3)Tj
/N10 12 Tf
4 -5 TD
0.445 Tc
(, N)Tj
/N10 8 Tf
16 -2 TD
0 Tc
(imp)Tj
/N10 12 Tf
12 2 TD
0.137 Tc
( = 0.1x10)Tj
/N10 8 Tf
47 5 TD
0 Tc
(13)Tj
/N10 12 Tf
8 -5 TD
(/cm)Tj
/N10 8 Tf
17 5 TD
(3)Tj
/N10 12 Tf
4 -5 TD
0.445 Tc
(, N)Tj
/N10 8 Tf
16 -2 TD
0.103 Tc
(thermal ions)Tj
/N10 12 Tf
41 2 TD
0.137 Tc
( = 2.6x10)Tj
/N10 8 Tf
47 5 TD
0 Tc
(13)Tj
/N10 12 Tf
8 -5 TD
(/cm)Tj
/N10 8 Tf
17 5 TD
(3)Tj
/N10 12 Tf
4 -5 TD
0.557 Tc
(, Z)Tj
/N10 8 Tf
15 -2 TD
0 Tc
(imp)Tj
/N10 12 Tf
12 2 TD
0.646 Tc
( = 9,)Tj
-407 -28 TD
(Z)Tj
/N10 8 Tf
8 -2 TD
0.374 Tc
(eff)Tj
/N10 12 Tf
10 2 TD
0.359 Tc
( = 1.8, )Tj
/N16 12 Tf
41 0 TD
(m)Tj
/N10 8 Tf
8 -2 TD
0 Tc
(imp)Tj
/N10 12 Tf
12 2 TD
0.319 Tc
( = 18, )Tj
/N16 12 Tf
34 0 TD
(m)Tj
/N10 8 Tf
8 -2 TD
0.103 Tc
(thermal ions)Tj
/N10 12 Tf
41 2 TD
0.246 Tc
( = 2. For this case the energy slowing down collision)Tj
-162 -28 TD
0 Tc
(frequency becomes)Tj
/N16 12 Tf
108 -28 TD
(n)Tj
/N16 7 Tf
7 -3 TD
(e)Tj
/N10 12 Tf
3 3 TD
(= )Tj
/N16 12 Tf
10 0 TD
(n)Tj
/N16 7 Tf
7 -3 TD
(e)Tj
/N10 8 Tf
3 8 TD
(ie)Tj
6 -7 TD
( +)Tj
/N10 12 Tf
7 2 TD
( )Tj
/N16 12 Tf
3 0 TD
(n)Tj
/N16 7 Tf
7 -3 TD
(e)Tj
/N10 8 Tf
3 8 TD
(i,thermal ions)Tj
44 -7 TD
( +)Tj
/N10 12 Tf
7 2 TD
( )Tj
/N16 12 Tf
3 0 TD
(n)Tj
/N16 7 Tf
7 -3 TD
(e)Tj
/N10 8 Tf
3 8 TD
(i,impurities)Tj
/N16 12 Tf
36 -5 TD
( )Tj
/N10 12 Tf
3 0 TD
(= 37/sec)Tj
-195 -28 TD
(since)Tj
/N16 12 Tf
36 0 TD
(n)Tj
/N16 7 Tf
7 -3 TD
(e)Tj
/N10 8 Tf
3 8 TD
(ie)Tj
/N10 12 Tf
6 -5 TD
(= 2 )Tj
/N16 12 Tf
19 0 TD
(n)Tj
/N10 8 Tf
7 -2 TD
(s )Tj
5 7 TD
(ie)Tj
/N10 12 Tf
6 -5 TD
(- )Tj
/N16 12 Tf
7 0 TD
(n)Tj
/N16 7 Tf
7 -3 TD
(^)Tj
/N10 8 Tf
5 8 TD
(ie)Tj
/N10 12 Tf
6 -5 TD
(- )Tj
/N16 12 Tf
7 0 TD
(n)Tj
/N10 8 Tf
7 -2 TD
(// )Tj
6 7 TD
(ie)Tj
6 -7 TD
( )Tj
/N16 12 Tf
2 2 TD
( )Tj
/N10 12 Tf
3 0 TD
-0.041 Tc
(= 2x13.7 - 0.9 - 0.4 = 26/sec)Tj
-109 -28 TD
0 Tc
(and)Tj
/N16 12 Tf
36 0 TD
(n)Tj
/N16 7 Tf
7 -3 TD
(e)Tj
/N10 8 Tf
3 8 TD
(i,thermal ions)Tj
44 -7 TD
( +)Tj
/N10 12 Tf
7 2 TD
( )Tj
/N16 12 Tf
3 0 TD
(n)Tj
/N16 7 Tf
7 -3 TD
(e)Tj
/N10 8 Tf
3 8 TD
(i,impurities)Tj
/N16 12 Tf
36 -5 TD
( )Tj
/N10 12 Tf
3 0 TD
(= 8.3 + 2.9 = 11/sec.)Tj
-257 -28 TD
(The perpendicular diffusion rate, related to the pitch angle scattering \
rate by )Tj
/N16 12 Tf
368 0 TD
(n)Tj
/N10 8 Tf
7 -2 TD
(pa)Tj
/N10 12 Tf
8 2 TD
( = )Tj
/N16 12 Tf
13 0 TD
(n)Tj
/N16 7 Tf
7 -3 TD
(^)Tj
/N10 12 Tf
5 3 TD
(/2, is)Tj
/N16 12 Tf
-336 -28 TD
(n)Tj
/N16 7 Tf
7 -3 TD
(^)Tj
/N10 12 Tf
5 3 TD
( = )Tj
/N16 12 Tf
13 0 TD
(n)Tj
/N16 7 Tf
7 -3 TD
(^)Tj
/N10 8 Tf
5 8 TD
(ie)Tj
/N10 12 Tf
6 -5 TD
( + )Tj
/N16 12 Tf
13 0 TD
(n)Tj
/N16 7 Tf
7 -3 TD
(^)Tj
/N10 8 Tf
5 8 TD
(i,thermal ions)Tj
/N10 12 Tf
44 -5 TD
( + )Tj
/N16 12 Tf
13 0 TD
(n)Tj
/N16 7 Tf
7 -3 TD
(^)Tj
/N10 8 Tf
5 8 TD
(i,impurities)Tj
/N16 12 Tf
36 -5 TD
( )Tj
/N10 12 Tf
3 0 TD
(= 24/sec)Tj
-212 -28 TD
(since)Tj
/N16 12 Tf
36 0 TD
(n)Tj
/N16 7 Tf
7 -3 TD
(^)Tj
/N10 8 Tf
5 8 TD
(ie)Tj
/N10 12 Tf
6 -5 TD
( = 0.9/sec and)Tj
/N16 12 Tf
90 0 TD
(n)Tj
/N16 7 Tf
7 -3 TD
(^)Tj
/N10 8 Tf
5 8 TD
(i,thermal ions)Tj
/N10 12 Tf
44 -5 TD
( + )Tj
/N16 12 Tf
13 0 TD
(n)Tj
/N16 7 Tf
7 -3 TD
(^)Tj
/N10 8 Tf
5 8 TD
(i,impurities)Tj
/N16 12 Tf
36 -5 TD
( )Tj
/N10 12 Tf
3 0 TD
(= 23/sec)Tj
-300 -28 TD
0.046 Tc
(Note that the frequencies roughly satisfy the ratio )Tj
/N16 12 Tf
243 0 TD
(n)Tj
/N16 7 Tf
7 -3 TD
(^)Tj
/N10 12 Tf
5 3 TD
(/)Tj
/N16 12 Tf
3 0 TD
(n)Tj
/N16 7 Tf
7 -3 TD
(e)Tj
/N10 12 Tf
3 3 TD
0 Tc
( = 0.7. We take )Tj
/N16 12 Tf
82 0 TD
(n)Tj
/N16 7 Tf
7 -3 TD
(e)Tj
/N10 8 Tf
3 1 TD
( )Tj
/N10 12 Tf
2 2 TD
0.239 Tc
(to be constant)Tj
-362 -28 TD
-0.078 Tc
(with radius and give )Tj
/N16 12 Tf
99 0 TD
(n)Tj
/N16 7 Tf
7 -3 TD
(^)Tj
/N10 12 Tf
5 3 TD
-0.07 Tc
( the radial dependence )Tj
/N16 12 Tf
109 0 TD
(n)Tj
/N16 7 Tf
7 -3 TD
(^)Tj
/N10 12 Tf
5 3 TD
0 Tc
(= )Tj
/N16 12 Tf
10 0 TD
(n)Tj
/N16 7 Tf
7 5 TD
(o)Tj
3 -8 TD
(^)Tj
/N10 12 Tf
5 3 TD
(\(1-)Tj
/N16 12 Tf
14 0 TD
0.452 Tc
(F/F)Tj
/N10 12 Tf
23 0 TD
-0.178 Tc
(\(a\)\), making )Tj
/N16 12 Tf
60 0 TD
(n)Tj
/N16 7 Tf
7 -3 TD
(^)Tj
/N10 12 Tf
5 3 TD
-0.088 Tc
(\(0\) ~ 35/sec.)Tj
-330 -28 TD
-0.016 Tc
( The results of the ORBITMN neutral beam ion simulations are given in Ta\
bles V-)Tj
-36 -28 TD
0.319 Tc
(IX. In Table V are shown simulation loss rates for the QAS2_20 stellara\
tor with the)Tj
0 -28 TD
-0.034 Tc
(collision frequencies calculated above. Beam ions can be classified as\
counter-injected or)Tj
T*
0.308 Tc
(co-injected with respect to the direction of the )Tj
242 0 TD
0 Tc
(plasma )Tj
40 0 TD
(current. )Tj
43 0 TD
( )Tj
6 0 TD
(Ion )Tj
22 0 TD
(drift )Tj
27 0 TD
(causes )Tj
37 0 TD
(the)Tj
-417 -28 TD
0.074 Tc
(banana orbits of counter-injected beam ions to be displaced from the flu\
x surface toward)Tj
0 -28 TD
0.073 Tc
(the vessel wall and, consequently, counter injected beams exhibit a frac\
tion of prompt or)Tj
T*
0.044 Tc
(first orbit losses while co-injected beams do not. In addition, beam i\
ons are classified as)Tj
ET
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/N6 12 Tf
292.5 35 TD
0 Tc
0 Tw
(14)Tj
/N10 12 Tf
-184 674 TD
0.246 Tc
(injected perpendicular or parallel to the plasma magnetic axis. Beam l\
ines which are)Tj
0 -28 TD
0.065 Tc
(injected perpendicular produce primarily trapped ions and will have high\
er loss fractions)Tj
T*
0.026 Tc
(due to stochastic ripple and first orbit loss \(if they are also counter\
injected\).)Tj
371 0 TD
( )Tj
-335 -28 TD
-0.066 Tc
(Table V shows the loss fractions are minimal for parallel neutral beam i\
on injection)Tj
-36 -28 TD
0.197 Tc
(in the direction )Tj
82 0 TD
0 Tc
(parallel )Tj
41 0 TD
(to )Tj
16 0 TD
(the )Tj
21 0 TD
(plasma )Tj
40 0 TD
(current. )Tj
43 0 TD
( )Tj
6 0 TD
(For )Tj
23 0 TD
(perpendicular )Tj
72 0 TD
(injection, )Tj
50 0 TD
0.288 Tc
(trapped)Tj
-394 -28 TD
0.026 Tc
(particle loss due to scattering into stochastic loss regions or ripple w\
ells is predicted to be)Tj
0 -28 TD
0.162 Tc
(high \(70 - 84%\) and would preclude practical neutral beam ion experime\
nts. Counter-)Tj
T*
0.012 Tc
(injected beam ions even in the parallel direction, exhibit much scatteri\
ng into prompt-loss)Tj
T*
0.157 Tc
(orbits. Simulation results without pitch angle scattering make clear th\
e strong effect of)Tj
T*
0.231 Tc
(collisional scattering into the stochastic regions and ripple wells. S\
imulations for the)Tj
T*
0 Tc
(Tokamak )Tj
51 0 TD
(Fusion )Tj
39 0 TD
0.268 Tc
(Test )Tj
28 0 TD
0 Tc
(Reactor )Tj
43 0 TD
0.278 Tc
(\(TFTR\))Tj
/N10 8 Tf
39 5 TD
0 Tc
(25)Tj
/N10 12 Tf
8 -5 TD
( )Tj
7 0 TD
(showed )Tj
44 0 TD
0.201 Tc
(that )Tj
26 0 TD
0 Tc
(the )Tj
22 0 TD
(addition )Tj
46 0 TD
(of )Tj
17 0 TD
-0.091 Tc
(collisions )Tj
52 0 TD
0 Tc
(to)Tj
-422 -28 TD
0.149 Tc
(collisionless TF ripple loss doubles the ripple loss fraction in typical\
supershot plasmas)Tj
0 -28 TD
0 Tc
(for both neutral beam ions and alpha particles)Tj
/N10 8 Tf
219 5 TD
(9)Tj
/N10 12 Tf
4 -5 TD
0.06 Tc
(. For a QAS this synergistic effect is even)Tj
-223 -28 TD
-0.027 Tc
(greater because of the multitude of stochastic regions. The addition of\
collisions increases)Tj
0 -28 TD
-0.024 Tc
(the loss of energetic ions by a factor of 2 to 50 depending on injectio\
n angle. We also see)Tj
T*
-0.016 Tc
(in Table V that if the magnetic field strength is increased to 2.8 T, en\
ergy and particle loss)Tj
T*
0.229 Tc
(fractions \(averaging 40% and 54% over all beam lines\) are reduced by 1\
/2 for parallel)Tj
T*
0.303 Tc
(injection. For comparison the ripple loss of beam ions in TFTR was calc\
ulated to be)Tj
T*
0 Tc
(about 10-20%)Tj
/N10 8 Tf
68 5 TD
(9)Tj
/N10 12 Tf
4 -5 TD
(.)Tj
-36 -28 TD
0.03 Tc
(It is often claimed that it is only the ratio )Tj
/N16 12 Tf
200 0 TD
(n)Tj
/N16 7 Tf
7 -3 TD
(^)Tj
/N10 12 Tf
5 3 TD
(/)Tj
/N16 12 Tf
3 0 TD
(n)Tj
/N16 7 Tf
7 -3 TD
(e)Tj
/N10 12 Tf
3 3 TD
0 Tc
( which determines the ripple driven)Tj
-261 -28 TD
(loss rate of energetic ions in a tokamak or stellarator. But the lengt\
h of the slowing down)Tj
0 -28 TD
0.331 Tc
(time can also be an important determining factor in these loss rates. I\
n Table VI are)Tj
T*
0.06 Tc
(shown the ORBITMN simulation results for the same ratio of <)Tj
/N16 12 Tf
309 0 TD
(n)Tj
/N16 7 Tf
7 -3 TD
(^)Tj
/N10 12 Tf
5 3 TD
(/)Tj
/N16 12 Tf
3 0 TD
(n)Tj
/N16 7 Tf
7 -3 TD
(e)Tj
/N10 12 Tf
3 3 TD
0 Tc
(> as for Table V but)Tj
ET
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0 0 612 792 RC
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/N6 12 Tf
292.5 35 TD
0 Tc
0 Tw
(15)Tj
/N10 12 Tf
-184 674 TD
0.245 Tc
(with lower average energy slowing down collision frequency, 17 /sec. T\
he loss rates)Tj
0 -28 TD
0.037 Tc
(increased by more than a factor of two when the slowing down time double\
d between the)Tj
T*
0.108 Tc
(two sets of simulations. To decrease energetic ion losses, the ratio <)Tj
/N16 12 Tf
337 0 TD
(n)Tj
/N16 7 Tf
7 -3 TD
(^)Tj
/N10 12 Tf
5 3 TD
(/)Tj
/N16 12 Tf
3 0 TD
(n)Tj
/N16 7 Tf
7 -3 TD
(e)Tj
/N10 12 Tf
3 3 TD
0.279 Tc
( > and the ion)Tj
-362 -28 TD
0.155 Tc
(slowing down time should be kept as small as possible. The slowing down\
time can be)Tj
0 -28 TD
0.305 Tc
(reduced by keeping the plasma temperature low and the density high, whil\
e the )Tj
410 0 TD
0 Tc
(ratio)Tj
-410 -28 TD
(<)Tj
/N16 12 Tf
7 0 TD
(n)Tj
/N16 7 Tf
7 -3 TD
(^)Tj
/N10 12 Tf
5 3 TD
(/)Tj
/N16 12 Tf
3 0 TD
(n)Tj
/N16 7 Tf
7 -3 TD
(e)Tj
/N10 12 Tf
3 3 TD
-0.036 Tc
(> can be reduced by keeping Z)Tj
/N10 8 Tf
147 -2 TD
0.374 Tc
(eff)Tj
/N10 12 Tf
10 2 TD
0 Tc
( low.)Tj
-153 -28 TD
0.346 Tc
(In Table VII are shown the ORBITMN results for simulations )Tj
324 0 TD
0 Tc
(of )Tj
16 0 TD
(parallel )Tj
41 0 TD
(co-)Tj
-417 -28 TD
0.221 Tc
(injected neutral beam ions for five QAS and two equivalent tokamaks of P\
BX-M size.)Tj
0 -28 TD
0.344 Tc
(The high loss fraction in TOKQAS2_20 is due to the high value of )Tj
349 0 TD
0 Tc
(q, )Tj
15 0 TD
(and )Tj
23 0 TD
(low )Tj
24 0 TD
-0.413 Tc
(edge)Tj
-411 -28 TD
-0.036 Tc
(poloidal flux of that tokamak. We find the lowest beam ion losses for Q\
AS configurations)Tj
0 -28 TD
-0.038 Tc
(in the QAS2_20 and QAS3_34 designs.)Tj
36 -28 TD
0.039 Tc
(The QAS3_53 design is of special interest as it was optimized from the Q\
AS3_34)Tj
-36 -28 TD
0.076 Tc
(configuration for increased edge shear toward improved kink stability. \
It is however not)Tj
0 -28 TD
0.047 Tc
(kink stable at 4% beta but was considered sufficiently intesting that th\
e NCSX team used)Tj
T*
-0.036 Tc
(this configuration as a group design point in 1999. We examined the the\
rmal ion transport)Tj
T*
0.189 Tc
(for QAS3_53 in the previous Section and in Table VIII show the simulatio\
n results for)Tj
T*
0.488 Tc
(neutral beam ion loss in a PBX-M device with B = 1 T. For this case, )Tj
379 0 TD
0 Tc
(the )Tj
21 0 TD
(simple)Tj
-400 -28 TD
0.021 Tc
(approximation to the beam ion profile was replaced by a more detailed TR\
ANSP analysis)Tj
0 -28 TD
0.082 Tc
(calculation of the deposited beam ion distribution function f\()Tj
/N16 12 Tf
297 0 TD
(l)Tj
/N10 12 Tf
7 0 TD
0.125 Tc
(,E,r\), at 40 keV, projected)Tj
-304 -28 TD
0.13 Tc
(to the plasma midplane. This more accurate distribution function gave l\
oss rates within)Tj
0 -28 TD
0 Tc
(10% of those obtained with the simpler beam ion profile. Energetic ion \
loss rates are four)Tj
T*
0.235 Tc
(times greater for the QAS3_53 )Tj
161 0 TD
-0.19 Tc
(design )Tj
36 0 TD
0 Tc
(than )Tj
27 0 TD
(for )Tj
20 0 TD
(the )Tj
21 0 TD
(QAS2_20 )Tj
54 0 TD
-0.11 Tc
(configuration, )Tj
72 0 TD
0 Tc
(although)Tj
-391 -28 TD
0.256 Tc
(thermal ion diffusion coefficients are within a factor of two. )Tj
310 0 TD
( )Tj
6 0 TD
0 Tc
(Although )Tj
51 0 TD
(good )Tj
29 0 TD
(thermal)Tj
ET
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/N6 12 Tf
292.5 35 TD
0 Tc
0 Tw
(16)Tj
/N10 12 Tf
-184 674 TD
0.318 Tc
(particle confinement was found for both QAS3_53 and QAS2_20, it turned o\
ut to be)Tj
0 -28 TD
0.105 Tc
(necessary to do both thermal and energetic ion simulation studies when s\
earching for an)Tj
T*
0.199 Tc
(optimal configuration with good fast ion confinement. The 28% neutral b\
eam ion loss)Tj
T*
-0.035 Tc
(from QAS3_53 is marginally acceptable for a proposed experiment.)Tj
36 -28 TD
0 Tc
(The )Tj
26 0 TD
(simulations )Tj
62 0 TD
(have )Tj
29 0 TD
(not )Tj
23 0 TD
-0.147 Tc
(included )Tj
47 0 TD
0 Tc
(estimates )Tj
52 0 TD
(of )Tj
17 0 TD
-0.282 Tc
(charge )Tj
37 0 TD
-0.367 Tc
(exchange )Tj
50 0 TD
0 Tc
(loss )Tj
27 0 TD
(\(with)Tj
-406 -28 TD
-0.068 Tc
(characteristic time)Tj
/N16 12 Tf
87 0 TD
0 Tc
( t)Tj
/N10 8 Tf
9 -2 TD
(cx)Tj
/N10 12 Tf
8 2 TD
(\) or effects of stellarator ripple fields on electron heating nor elect\
ric)Tj
-104 -28 TD
0.304 Tc
(field effects on neutral beam ion loss. Goldston and )Tj
273 0 TD
0 Tc
(Towner)Tj
/N10 8 Tf
38 5 TD
(26)Tj
/N10 12 Tf
8 -5 TD
( )Tj
6 0 TD
(showed )Tj
43 0 TD
(in )Tj
15 0 TD
(1981 )Tj
30 0 TD
0.251 Tc
(that)Tj
-413 -28 TD
0.072 Tc
(collisional ripple transport does not prevent tangential neutral beam in\
jection from being)Tj
0 -28 TD
0.22 Tc
(effective in heating, even for highly non-axisymmetric systems such as s\
tellarators, as)Tj
T*
0 Tc
(long as T)Tj
/N10 8 Tf
44 -2 TD
(e)Tj
/N10 12 Tf
4 2 TD
(/E)Tj
/N10 8 Tf
10 -2 TD
(nb)Tj
/N10 12 Tf
8 2 TD
( and )Tj
/N16 12 Tf
23 0 TD
(t)Tj
/N16 7 Tf
6 -3 TD
(e)Tj
/N10 12 Tf
3 3 TD
(/)Tj
/N16 12 Tf
3 0 TD
(t)Tj
/N10 8 Tf
6 -2 TD
(cx)Tj
/N10 12 Tf
8 2 TD
-0.15 Tc
( are small.)Tj
-79 -28 TD
0 Tc
( The neutral beam ion loss fractions are plotted versus edge poloidal fl\
ux in Figure)Tj
-36 -28 TD
0.041 Tc
(9. In general the goodness of energetic ion transport in 1.4 T QAS ste\
llarators exhibits a)Tj
0 -28 TD
0.084 Tc
(pattern similar to that seen for thermal ion transport in Fig. 7. Figur\
e 9 shows the strong)Tj
T*
-0.024 Tc
(dependence on edge poloidal flux of neutral beam ion loss expected for c\
oinjected parallel)Tj
T*
0.11 Tc
(beams in tokamaks of the same size and field as the QAS configurations. \
The QAS3_53)Tj
T*
0.019 Tc
(design shows only slightly reduced losses as poloidal edge flux is incre\
ased. For the QAS)Tj
T*
-0.013 Tc
(configurations, high edge poloidal flux is a necessary but not sufficien\
t condition for good)Tj
T*
-0.09 Tc
(neutral beam ion confinement.)Tj
/N8 12 Tf
0 -56 TD
0.145 Tc
(Section IV.B Simulations for High Edge Beam Deposition)Tj
/N10 12 Tf
36 -28 TD
-0.054 Tc
(Simulations were also carried out with a radial profile of 40 keV deuter\
ium, neutral)Tj
-36 -28 TD
0.161 Tc
(beam ions given by the flux surface averaged, beam ion deposition as cal\
culated by the)Tj
0 -28 TD
0 Tc
(TRANSP)Tj
/N10 8 Tf
47 5 TD
(23)Tj
/N10 12 Tf
8 -5 TD
0.07 Tc
( analysis code for the QAS3_53 configuration with co-parallel only injec\
tion.)Tj
ET
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/N6 12 Tf
292.5 35 TD
0 Tc
0 Tw
(17)Tj
/N10 12 Tf
-184 674 TD
0.316 Tc
(Figure 8 shows this )Tj
106 0 TD
-0.267 Tc
(high )Tj
26 0 TD
-0.33 Tc
(edge )Tj
27 0 TD
0.091 Tc
(deposition )Tj
57 0 TD
0 Tc
(beam )Tj
31 0 TD
(profile. )Tj
41 0 TD
( )Tj
6 0 TD
-0.189 Tc
(Again, )Tj
37 0 TD
0 Tc
(the )Tj
21 0 TD
(beam )Tj
31 0 TD
(ions )Tj
26 0 TD
(were)Tj
-409 -28 TD
0.066 Tc
(launched at the midplane, )Tj
/N16 12 Tf
129 0 TD
(q)Tj
/N10 12 Tf
7 0 TD
0.062 Tc
(=0, with random toroidal angle )Tj
/N16 12 Tf
155 0 TD
0.583 Tc
(f, )Tj
/N10 12 Tf
15 0 TD
0.223 Tc
(with pitch, )Tj
/N16 12 Tf
58 0 TD
(l)Tj
/N10 12 Tf
7 0 TD
0.085 Tc
(, determined)Tj
-371 -28 TD
0 Tc
(by the tangency radius \(R)Tj
/N10 8 Tf
124 -2 TD
(inj)Tj
/N10 12 Tf
8 2 TD
(\).)Tj
-96 -28 TD
(With )Tj
31 0 TD
(the )Tj
23 0 TD
-0.237 Tc
(higher )Tj
37 0 TD
-0.33 Tc
(edge )Tj
29 0 TD
0.091 Tc
(deposition )Tj
59 0 TD
0 Tc
(profile, )Tj
43 0 TD
(the )Tj
23 0 TD
(equivalent )Tj
57 0 TD
(tokamak )Tj
49 0 TD
(geometry)Tj
-387 -28 TD
0.154 Tc
(\(axisymmetric component of QAS3_53\) at B=1T led to 16% power loss in o\
ne slowing)Tj
0 -28 TD
0.305 Tc
(down time, and to 28% power loss in two slowing down times. Losses with\
no pitch)Tj
T*
-0.091 Tc
(angle scattering are zero, as expected.)Tj
181 0 TD
( )Tj
-145 -28 TD
0.099 Tc
(ORBITMN has been benchmarked for the calculation of the axisymmetric los\
ses)Tj
-36 -28 TD
0.143 Tc
(for QAS3_53 against the TRANSP code, which only simulates tokamak plasma\
s. Here)Tj
0 -28 TD
-0.048 Tc
(both codes simulated axisymmetric losses assuming the same q profile, 1 \
T magnetic field,)Tj
T*
0.139 Tc
(Zeff = 1.8, 40 keV beam ions using the high edge density beam deposition\
profile, only)Tj
T*
-0.049 Tc
(co-parallel injection and no charge exchange losses. Both also declared\
an ion lost when it)Tj
T*
0.236 Tc
(crossed the last closed flux surface. The radial profiles of the collis\
ion rates and their)Tj
T*
0.242 Tc
(magnitudes were similar. TRANSP finds 29% losses, )Tj
278 0 TD
0 Tc
(evaluated )Tj
51 0 TD
(for )Tj
20 0 TD
(ions )Tj
26 0 TD
(which )Tj
35 0 TD
(have)Tj
-410 -28 TD
0.282 Tc
(slowed down to near thermal energies ~ 2-3 keV. This is in good agreemen\
t with )Tj
417 0 TD
0 Tc
(the)Tj
-417 -28 TD
0.028 Tc
(ORBIT prediction of 28% loss, for beam ions which after two slowing dow\
n times are at)Tj
0 -28 TD
0 Tc
(2.72)Tj
/N10 8 Tf
21 5 TD
(-2)Tj
/N10 12 Tf
7 -5 TD
( )Tj
6 0 TD
( )Tj
6 0 TD
(of )Tj
16 0 TD
(their )Tj
28 0 TD
(initial )Tj
34 0 TD
(energy )Tj
39 0 TD
(or )Tj
17 0 TD
(~ )Tj
13 0 TD
(5keV. )Tj
35 0 TD
( )Tj
7 0 TD
(TRANSP )Tj
54 0 TD
(simulations )Tj
62 0 TD
(have )Tj
29 0 TD
(shown )Tj
39 0 TD
0.251 Tc
(that)Tj
-413 -28 TD
-0.015 Tc
(axisymmetric neutral beam ion losses improve with increased B, proportio\
nal to 1/B)Tj
/N10 8 Tf
404 5 TD
(2)Tj
/N10 12 Tf
4 -5 TD
(.)Tj
-372 -28 TD
0.105 Tc
(When charge exchange is included TRANSP finds 33% energy loss. The char\
ge)Tj
-36 -28 TD
0 Tc
(exchange losses may be from a different class of particles than those lo\
st due to stellarator)Tj
0 -28 TD
0.107 Tc
(ripple fields; in tokamaks these losses arise typically from passing ion\
orbits. Such ions)Tj
T*
0.223 Tc
(would reside in the plasma long enough )Tj
206 0 TD
0 Tc
(for )Tj
20 0 TD
-0.282 Tc
(charge )Tj
36 0 TD
-0.367 Tc
(exchange )Tj
48 0 TD
0 Tc
(to )Tj
16 0 TD
(occur. )Tj
35 0 TD
(If )Tj
14 0 TD
(this )Tj
24 0 TD
(is )Tj
14 0 TD
(also)Tj
-413 -28 TD
0.056 Tc
(characteristic of stellarators, charge exchange and ripple losses will b\
e additive. Further)Tj
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0 0 612 792 RC
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/N6 12 Tf
292.5 35 TD
0 Tc
0 Tw
(18)Tj
/N10 12 Tf
-184 674 TD
0.021 Tc
(work is needed to clarify whether charge exchange and stellarator energe\
tic ion losses are)Tj
0 -28 TD
0 Tc
(additive.)Tj
36 -28 TD
-0.199 Tc
(Including )Tj
50 0 TD
0 Tc
(the )Tj
21 0 TD
(full )Tj
22 0 TD
0.126 Tc
(rippled )Tj
41 0 TD
0 Tc
(field )Tj
27 0 TD
(with )Tj
29 0 TD
(both )Tj
29 0 TD
-0.101 Tc
(axisymmetric )Tj
71 0 TD
0 Tc
(and )Tj
24 0 TD
-0.088 Tc
(nonaxisymmetric)Tj
-350 -28 TD
0.068 Tc
(components, ORBITMN calculated)Tj
/N8 12 Tf
173 0 TD
( )Tj
/N10 12 Tf
3 0 TD
0.135 Tc
(41% power loss in one slowing down time and 49%)Tj
-176 -28 TD
0.379 Tc
(power loss in two slowing down times. With no pitch angle )Tj
317 0 TD
0 Tc
(scattering, )Tj
55 0 TD
(17% )Tj
28 0 TD
(energy)Tj
-400 -28 TD
(losses )Tj
36 0 TD
(are )Tj
21 0 TD
(predicted, )Tj
55 0 TD
(due )Tj
24 0 TD
(to )Tj
17 0 TD
-0.095 Tc
(collisionless )Tj
65 0 TD
0.144 Tc
(ripple )Tj
36 0 TD
0 Tc
(loss. )Tj
29 0 TD
( )Tj
7 0 TD
(The )Tj
27 0 TD
(time )Tj
29 0 TD
(evolution )Tj
53 0 TD
(of )Tj
18 0 TD
(the)Tj
-417 -28 TD
-0.05 Tc
(collisionless loss \()Tj
/N16 12 Tf
87 0 TD
(n)Tj
/N16 7 Tf
7 -3 TD
(^)Tj
/N10 12 Tf
5 3 TD
0.08 Tc
( = 0\) is remarkable, characteristic of the stochastic field regions: 7%\
)Tj
-99 -28 TD
0 Tc
(of )Tj
17 0 TD
(the )Tj
22 0 TD
(ions )Tj
27 0 TD
(are )Tj
21 0 TD
0.298 Tc
(\322prompt\323 )Tj
55 0 TD
0 Tc
(lost )Tj
25 0 TD
(and )Tj
24 0 TD
(another )Tj
43 0 TD
(10% )Tj
29 0 TD
(slowly )Tj
40 0 TD
-0.219 Tc
(leave )Tj
31 0 TD
0 Tc
(the )Tj
22 0 TD
(plasma )Tj
42 0 TD
(over )Tj
29 0 TD
(a)Tj
-427 -28 TD
0.039 Tc
(characteristic time roughly one-third the energy slowing down time \(Fig\
ure 10\). Prompt)Tj
0 -28 TD
0.273 Tc
(single particle orbits are due to orbit wobble for ions deposited near t\
he plasma edge,)Tj
T*
0.063 Tc
(since the loss criterion is that the gyrocenter crosses the last closed \
flux surface. Delayed)Tj
T*
0.128 Tc
(particle loss orbits exhibit motion characteristic of passing ion stocha\
stic loss)Tj
/N10 8 Tf
381 5 TD
0 Tc
(27-29)Tj
/N10 12 Tf
19 -5 TD
0.724 Tc
(. The)Tj
-400 -28 TD
0 Tc
(delayed loss is only observed if )Tj
/N16 12 Tf
154 0 TD
(n)Tj
/N16 7 Tf
7 -3 TD
(e)Tj
/N10 12 Tf
3 3 TD
( )Tj
/N16 12 Tf
3 0 TD
(\271)Tj
/N10 12 Tf
7 0 TD
( 0.)Tj
15 0 TD
( )Tj
-153 -28 TD
0.224 Tc
(When pitch angle scattering is included, about 10% of the losses are \322\
prompt\323.)Tj
-36 -28 TD
0 Tc
(These )Tj
35 0 TD
(are )Tj
20 0 TD
(due )Tj
23 0 TD
(to )Tj
16 0 TD
(the )Tj
21 0 TD
0.126 Tc
(rippled )Tj
41 0 TD
-0.22 Tc
(magnetic )Tj
48 0 TD
0 Tc
(field )Tj
27 0 TD
(near )Tj
27 0 TD
(the )Tj
22 0 TD
(plasma )Tj
41 0 TD
-0.275 Tc
(edge. )Tj
31 0 TD
( )Tj
7 0 TD
0 Tc
(The )Tj
26 0 TD
(beam )Tj
32 0 TD
(ion)Tj
-417 -28 TD
0.121 Tc
(deposition interestingly )Tj
122 0 TD
0 Tc
(does )Tj
28 0 TD
(not )Tj
22 0 TD
(lead )Tj
25 0 TD
(to )Tj
16 0 TD
0.298 Tc
(\322prompt\323 )Tj
54 0 TD
0 Tc
(losses )Tj
35 0 TD
(in )Tj
15 0 TD
(the )Tj
21 0 TD
-0.101 Tc
(axisymmetric )Tj
70 0 TD
0 Tc
(field.)Tj
27 0 TD
( )Tj
-435 -28 TD
0.346 Tc
(Table IX shows beam ion loss )Tj
161 0 TD
0 Tc
(results )Tj
38 0 TD
(for )Tj
20 0 TD
(1\) )Tj
16 0 TD
0.168 Tc
(typical )Tj
40 0 TD
0.332 Tc
(PBX-M )Tj
46 0 TD
0 Tc
(values )Tj
36 0 TD
(of )Tj
16 0 TD
0.167 Tc
(density )Tj
42 0 TD
0 Tc
(and)Tj
-415 -28 TD
0.073 Tc
(temperature but Zeff lowered to 1.8, 2\) parameters corresponding to th\
e ISS95 transport)Tj
0 -28 TD
-0.284 Tc
(scaling)Tj
/N10 8 Tf
32 5 TD
0 Tc
(30)Tj
/N10 12 Tf
8 -5 TD
( and 3\) a scan of and to vary collisionality. Changing the d\
ensity and)Tj
-40 -28 TD
0.246 Tc
(temperature at the same Zeff is seen to vary the loss rate by less than \
25%, improving)Tj
0 -28 TD
0 Tc
(losses with reduced <)Tj
/N16 12 Tf
104 0 TD
(n)Tj
/N16 7 Tf
7 -3 TD
(^)Tj
/N10 12 Tf
5 3 TD
(/)Tj
/N16 12 Tf
3 0 TD
(n)Tj
/N16 7 Tf
7 -3 TD
(e)Tj
/N10 12 Tf
3 3 TD
-0.059 Tc
(> and for reduced )Tj
/N16 12 Tf
87 0 TD
(t)Tj
/N10 8 Tf
6 -2 TD
(e)Tj
/N10 12 Tf
4 2 TD
(.)Tj
6 0 TD
0 Tc
( )Tj
-196 -28 TD
0.307 Tc
( For increased toroidal field \(B=1.4T\), the power losses remain at 39%\
in one)Tj
-36 -28 TD
0.21 Tc
(slowing down time and 48% in two slowing down times, virtually no improv\
ement, as)Tj
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/N6 12 Tf
292.5 35 TD
0 Tc
0 Tw
(19)Tj
/N10 12 Tf
-184 674 TD
0.334 Tc
(was also found with the low beam ion edge )Tj
228 0 TD
0.091 Tc
(deposition )Tj
57 0 TD
0 Tc
(in )Tj
15 0 TD
(the )Tj
21 0 TD
(previous )Tj
48 0 TD
(section. )Tj
43 0 TD
( )Tj
6 0 TD
(To)Tj
-418 -28 TD
0.031 Tc
(examine the effect of launching the beam lines at different toroidal ang\
le, considering the)Tj
0 -28 TD
0.15 Tc
(three dimensional shape of the stellarator, losses at )Tj
/N16 12 Tf
257 0 TD
(f)Tj
/N10 12 Tf
8 0 TD
0.302 Tc
(= 0 \(crescent cross section\) were)Tj
-265 -28 TD
-0.046 Tc
(41% in one slowing down time and at )Tj
/N16 12 Tf
183 0 TD
0.874 Tc
(f )Tj
/N10 12 Tf
11 0 TD
0 Tc
(= )Tj
/N16 12 Tf
10 0 TD
(p)Tj
/N10 12 Tf
7 0 TD
0.068 Tc
( \(oblate cross section\) were 37%. Beam loss)Tj
-211 -28 TD
(can likely be improved by injecting at angles with reduced ripple losses\
as prompt losses)Tj
0 -28 TD
0.077 Tc
(within the first 25 toroidal transits were entirely suppressed at )Tj
/N16 12 Tf
305 0 TD
0.874 Tc
(f )Tj
/N10 12 Tf
11 0 TD
0 Tc
(= )Tj
/N16 12 Tf
10 0 TD
(p, )Tj
/N10 12 Tf
13 0 TD
0.29 Tc
(but rose to 12%)Tj
/N16 12 Tf
80 0 TD
( )Tj
/N10 12 Tf
4 0 TD
0 Tc
(at)Tj
/N16 12 Tf
-423 -28 TD
(f)Tj
/N10 12 Tf
8 0 TD
(= 0, from 7% with random )Tj
/N16 12 Tf
131 0 TD
(f)Tj
/N10 12 Tf
8 0 TD
(.)Tj
-111 -28 TD
(A )Tj
15 0 TD
0.333 Tc
(study )Tj
34 0 TD
0 Tc
(was )Tj
25 0 TD
(also )Tj
25 0 TD
(made )Tj
31 0 TD
(of )Tj
16 0 TD
(the )Tj
21 0 TD
-0.237 Tc
(region )Tj
36 0 TD
0 Tc
(of )Tj
17 0 TD
(highest )Tj
41 0 TD
(relative )Tj
42 0 TD
(beam )Tj
32 0 TD
(ion )Tj
22 0 TD
(loss )Tj
26 0 TD
(by)Tj
-419 -28 TD
(truncating the beam deposition profile at several values of toroidal flu\
x. It was found that)Tj
0 -28 TD
0.19 Tc
(beam ion losses rose linearly with minor radius outside the half radius,\
underlining the)Tj
T*
0 Tc
(importance of reduced ripple fields.)Tj
/N8 12 Tf
0 -56 TD
0.14 Tc
(Section IV.C Measures of Stellarator Ripple)Tj
/N10 12 Tf
36 -28 TD
0 Tc
(Isaev )Tj
/N40 12 Tf
31 0 TD
(et )Tj
14 0 TD
(al.)Tj
/N10 12 Tf
12 0 TD
( )Tj
6 0 TD
(have )Tj
28 0 TD
(developed )Tj
55 0 TD
(a )Tj
11 0 TD
-0.118 Tc
(configuration )Tj
70 0 TD
0.103 Tc
(optimization )Tj
69 0 TD
0 Tc
(method )Tj
43 0 TD
(to )Tj
17 0 TD
(improve)Tj
-392 -28 TD
0.031 Tc
(neoclassical transport using the pseudosymmetric concept)Tj
/N10 8 Tf
280 5 TD
0 Tc
(31)Tj
/N10 12 Tf
8 -5 TD
(. A new measure of the level)Tj
-288 -28 TD
0.086 Tc
(of symmetry breaking, or rippleness is denoted by the function W, called\
\322Water\323. W is)Tj
0 -28 TD
0.092 Tc
(the total area of the ripple for half of one poloidal turn of the field \
line at the half radius.)Tj
T*
0.179 Tc
(This is expected to better correlate with particle loss than simple meas\
ures of field line)Tj
T*
0.244 Tc
(ripple, for example, B)Tj
/N10 8 Tf
111 5 TD
0 Tc
(max)Tj
14 -7 TD
(mn)Tj
/N10 12 Tf
10 2 TD
(/B)Tj
/N10 8 Tf
11 -2 TD
(00)Tj
/N10 12 Tf
8 2 TD
0.333 Tc
(,, with )Tj
39 0 TD
0 Tc
(which )Tj
35 0 TD
(there )Tj
30 0 TD
(is )Tj
14 0 TD
(almost )Tj
38 0 TD
(no )Tj
18 0 TD
(correlation )Tj
57 0 TD
-0.167 Tc
(\(Fig. )Tj
28 0 TD
0 Tc
(11\).)Tj
-413 -28 TD
0.02 Tc
(However, Fig. 12 shows that there is only modest correlation of co injec\
ted beam ion loss)Tj
0 -28 TD
0.219 Tc
(with W for the QAS stellarators. In particular QAS2_40 has high losses \
and small W.)Tj
T*
-0.021 Tc
(Large stellarator rippleness is in one case well correlated with high be\
am loss \(QAS4_40\).)Tj
T*
0.29 Tc
(As discussed in the last section, the evaluation of relative neutral bea\
m ion loss )Tj
410 0 TD
0 Tc
(with)Tj
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0 0 612 792 RC
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/N6 12 Tf
292.5 35 TD
0 Tc
0 Tw
(20)Tj
/N10 12 Tf
-184 674 TD
0.137 Tc
(radius showed that for QAS3_53 \(1T\), for example, coinjected parallel \
beam ion loss is)Tj
0 -28 TD
0.045 Tc
(high outside 0.5 r/a. Since W is evaluated only at the half radius, it \
would be worthwhile)Tj
T*
0.121 Tc
(to consider other measures of W such as 1\) average W over all flux surf\
aces, 2\) average)Tj
T*
-0.032 Tc
(over all flux surfaces outside the half radius or 3\) over all flux surf\
aces, restricting )Tj
/N16 12 Tf
396 0 TD
(q)Tj
/N10 12 Tf
7 0 TD
0.39 Tc
( to be)Tj
-403 -28 TD
0 Tc
(near )Tj
/N16 10 Tf
23 0 TD
(\261)Tj
/N16 12 Tf
6 0 TD
( p)Tj
/N10 12 Tf
10 0 TD
0.054 Tc
(/2 to reduce the loss of trapped ions.)Tj
-3 -28 TD
0.16 Tc
(From simulations of thermal ion diffusion, \(Tables II and III\) it is \
clear that the)Tj
-36 -28 TD
0.264 Tc
(low thermal ion loss rate of QAS2_20 appears to be determined by the par\
ameter a)Tj
/N10 8 Tf
419 -2 TD
0 Tc
(0,0)Tj
/N10 12 Tf
10 2 TD
(,)Tj
-429 -28 TD
0.376 Tc
(although it has nearly the same W as QAS3_53, three times that of QAS3_3\
4. The)Tj
0 -28 TD
0.076 Tc
(width of the plasma appears to cancel the effect of high Bmax for QAS2_2\
0. We expect)Tj
T*
-0.33 Tc
(large )Tj
/N16 12 Tf
28 0 TD
(r)Tj
/N10 12 Tf
7 0 TD
0 Tc
(/a )Tj
14 0 TD
(to )Tj
16 0 TD
(be )Tj
18 0 TD
(correlated )Tj
54 0 TD
(with )Tj
29 0 TD
-0.237 Tc
(higher )Tj
36 0 TD
0 Tc
(losses )Tj
36 0 TD
(and )Tj
24 0 TD
(QAS2_40 )Tj
55 0 TD
(has )Tj
23 0 TD
(much )Tj
33 0 TD
(reduced )Tj
44 0 TD
(a)Tj
/N10 8 Tf
5 -2 TD
(0,0)Tj
/N10 12 Tf
-422 -26 TD
0.322 Tc
(compared to QAS2_20 \(19 vs )Tj
158 0 TD
0 Tc
(25\). )Tj
25 0 TD
(We )Tj
22 0 TD
-0.146 Tc
(conclude )Tj
48 0 TD
0.201 Tc
(that )Tj
25 0 TD
0 Tc
(field )Tj
27 0 TD
0.144 Tc
(ripple )Tj
35 0 TD
0 Tc
(should )Tj
38 0 TD
(be )Tj
17 0 TD
(reduced)Tj
-395 -28 TD
(outside )Tj
42 0 TD
(0.5)Tj
/N16 12 Tf
15 0 TD
( )Tj
/N10 12 Tf
7 0 TD
(r/a )Tj
19 0 TD
(and )Tj
24 0 TD
0.201 Tc
(that )Tj
26 0 TD
0 Tc
(a )Tj
13 0 TD
-0.283 Tc
(larger )Tj
34 0 TD
0 Tc
(midplane )Tj
52 0 TD
(radius )Tj
37 0 TD
(will )Tj
26 0 TD
(improve )Tj
48 0 TD
(neutral )Tj
41 0 TD
(beam )Tj
33 0 TD
(ion)Tj
-417 -28 TD
0.223 Tc
(confinement in similar QAS designs. Finally, the stochastic loss of pas\
sing ions \(Sec.)Tj
0 -28 TD
0.205 Tc
(IVB\) may be controlled through development of a criterion for reduced s\
tochastic loss)Tj
T*
0 Tc
(domains.)Tj
/N8 12 Tf
0 -56 TD
-0.156 Tc
(V. SIMULATIONS OF ALPHA PARTICLE TRANSPORT IN A QAS REACTOR)Tj
/N10 12 Tf
36 -28 TD
0.196 Tc
(Retention of fast ions will be essential for utilizing alpha particle an\
d other fast)Tj
-36 -28 TD
0.099 Tc
(ion heating in fusion reactors. In tokamaks, toroidal field ripple can \
drive high levels of)Tj
0 -28 TD
0.075 Tc
(fast particle stochastic ripple loss)Tj
/N10 8 Tf
162 5 TD
0 Tc
(32)Tj
/N10 12 Tf
8 -5 TD
0.04 Tc
(, particularly in regions of high plasma q and q'. High)Tj
-170 -28 TD
0.02 Tc
(ripple loss rates in reversed shear for 1 MeV tritons were found in meas\
urements of triton)Tj
0 -28 TD
0.167 Tc
(burnup)Tj
/N10 8 Tf
35 5 TD
0 Tc
(33)Tj
/N10 12 Tf
8 -5 TD
0.192 Tc
( on Japan Atomic Energy Research Institute Tokamak-60 Upgrade \(JT-60U\)\
)Tj
/N10 8 Tf
381 5 TD
0 Tc
(34)Tj
/N10 12 Tf
-424 -33 TD
0.114 Tc
(and in predictive simulations for the International Thermonuclear Experi\
mental Reactor)Tj
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/N6 12 Tf
292.5 35 TD
0 Tc
0 Tw
(21)Tj
/N10 12 Tf
-184 674 TD
(\(ITER\))Tj
/N10 8 Tf
35 5 TD
(35)Tj
/N10 12 Tf
8 -2 TD
( )Tj
3 -3 TD
(of 3.5 MeV alpha particles)Tj
/N10 8 Tf
129 5 TD
(11,36,37)Tj
/N10 12 Tf
28 -5 TD
-0.09 Tc
(. Similarly, high values of magnetic field ripple)Tj
-203 -28 TD
0 Tc
(in a QAS reactor may cause unacceptable losses of fast ions.)Tj
36 -28 TD
0.046 Tc
(To answer this question regarding the confinement and loss of alpha part\
icles in a)Tj
-36 -28 TD
0.309 Tc
(QAS reactor we chose the )Tj
139 0 TD
0 Tc
(QAS2_20 )Tj
54 0 TD
-0.11 Tc
(configuration, )Tj
72 0 TD
0 Tc
(which )Tj
35 0 TD
-0.165 Tc
(exhibited )Tj
49 0 TD
0 Tc
(the )Tj
21 0 TD
(best )Tj
26 0 TD
(particle)Tj
-396 -28 TD
0.026 Tc
(transport as well as ballooning stability at B = 1.4 T. It was scaled \
to reactor size: R)Tj
/N10 8 Tf
410 -2 TD
0 Tc
(maj)Tj
/N10 12 Tf
12 2 TD
( =)Tj
-422 -28 TD
0.02 Tc
(453 cm, B = 7.9 T, =220 cm, with plasma characterized by =2.3x10)Tj
/N10 8 Tf
46 5 TD
(14)Tj
/N10 12 Tf
8 -5 TD
( /cm)Tj
/N10 8 Tf
21 5 TD
(3)Tj
/N10 12 Tf
4 -5 TD
0.583 Tc
(, N)Tj
/N10 8 Tf
20 -2 TD
0 Tc
(eo)Tj
/N10 12 Tf
-424 -26 TD
(= 4.7x10)Tj
/N10 8 Tf
43 5 TD
(14)Tj
/N10 12 Tf
8 -5 TD
(/cm)Tj
/N10 8 Tf
17 5 TD
(3)Tj
/N10 12 Tf
4 -5 TD
0.89 Tc
(, T)Tj
/N10 8 Tf
16 -2 TD
(e)Tj
/N10 12 Tf
4 2 TD
0.391 Tc
(=25 keV, Z)Tj
/N10 8 Tf
59 -2 TD
0.374 Tc
(eff)Tj
/N10 12 Tf
10 2 TD
0.308 Tc
(=2. The collision rates were based on central plasma)Tj
-161 -28 TD
0 Tc
(conditions )Tj
57 0 TD
(and )Tj
24 0 TD
(were )Tj
30 0 TD
0.112 Tc
(constant )Tj
48 0 TD
0 Tc
(with )Tj
29 0 TD
(radius. )Tj
39 0 TD
(The )Tj
26 0 TD
(rates )Tj
30 0 TD
(were )Tj
30 0 TD
-0.277 Tc
(given )Tj
32 0 TD
0 Tc
(by )Tj
/N16 12 Tf
20 0 TD
(n)Tj
/N6 7 Tf
7 -3 TD
(pa)Tj
/N16 12 Tf
8 3 TD
(/n)Tj
/N16 7 Tf
10 -3 TD
(e)Tj
/N6 12 Tf
3 3 TD
( )Tj
7 0 TD
(=0)Tj
/N10 12 Tf
14 0 TD
(.07)Tj
/N6 12 Tf
15 0 TD
(,)Tj
/N16 12 Tf
-429 -28 TD
(n)Tj
/N16 7 Tf
7 -3 TD
(^)Tj
/N16 12 Tf
5 3 TD
(=)Tj
/N10 12 Tf
7 0 TD
(1.03/sec)Tj
/N6 12 Tf
39 0 TD
(, )Tj
/N16 12 Tf
7 0 TD
0.874 Tc
( n)Tj
/N16 7 Tf
11 -3 TD
(e)Tj
/N6 12 Tf
3 3 TD
0 Tc
(= )Tj
/N10 12 Tf
11 0 TD
(7.6/sec)Tj
/N6 12 Tf
33 0 TD
(, )Tj
/N16 12 Tf
7 0 TD
(t)Tj
/N16 7 Tf
6 -3 TD
(e)Tj
/N6 12 Tf
3 3 TD
(=)Tj
/N10 12 Tf
7 0 TD
0.355 Tc
(0.13sec. The alpha profile was N)Tj
/N16 7 Tf
173 -3 TD
(a)Tj
/N6 12 Tf
5 3 TD
0 Tc
(=\()Tj
/N10 12 Tf
11 0 TD
(1-\(r/a\))Tj
/N10 8 Tf
30 5 TD
(2)Tj
/N10 12 Tf
4 -5 TD
(\))Tj
/N10 8 Tf
4 5 TD
(9)Tj
/N10 12 Tf
4 -5 TD
0.278 Tc
(, similar to)Tj
-377 -28 TD
0.053 Tc
(that used in TFTR and ITER simulations)Tj
/N10 8 Tf
198 5 TD
0 Tc
(9-12)Tj
/N10 12 Tf
15 -5 TD
(.)Tj
-213 -28 TD
( )Tj
36 0 TD
0.178 Tc
(Excellent confinement was found with no pitch angle scattering: 0.8% +/-\
0.4%)Tj
-36 -28 TD
0 Tc
(alpha particles lost in)Tj
/N6 12 Tf
103 0 TD
( )Tj
/N16 12 Tf
3 0 TD
(t)Tj
/N16 7 Tf
6 -3 TD
(e)Tj
/N6 12 Tf
3 3 TD
(. )Tj
/N10 12 Tf
7 0 TD
0.11 Tc
( But simulations which included pitch angle scattering, led to 8)Tj
-122 -28 TD
0 Tc
(\(12.5\)% )Tj
47 0 TD
(alpha )Tj
34 0 TD
(energy )Tj
40 0 TD
(\(particle\) )Tj
53 0 TD
(loss )Tj
28 0 TD
(in )Tj
18 0 TD
(one )Tj
26 0 TD
(alpha )Tj
35 0 TD
(particle )Tj
45 0 TD
-0.125 Tc
(slowing )Tj
46 0 TD
0 Tc
(down )Tj
36 0 TD
(time.)Tj
/N8 12 Tf
27 0 TD
( )Tj
/N10 12 Tf
-435 -28 TD
0.063 Tc
(Simulations of alpha loss in a comparable tokamak reactor, without TF ri\
pple showed no)Tj
0 -28 TD
0.057 Tc
(alpha loss arising from pitch angle scattering over one slowing down tim\
e. These results)Tj
T*
0.377 Tc
(with and without pitch )Tj
123 0 TD
-0.331 Tc
(angle )Tj
30 0 TD
0 Tc
(scattering )Tj
52 0 TD
(show )Tj
32 0 TD
0.168 Tc
(that, )Tj
28 0 TD
0 Tc
(as )Tj
16 0 TD
(for )Tj
20 0 TD
(the )Tj
21 0 TD
(neutral )Tj
39 0 TD
(beam )Tj
31 0 TD
(ion )Tj
21 0 TD
(loss)Tj
-413 -28 TD
0.28 Tc
(simulations, the QAS alpha losses appear to be due primarily to scatteri\
ng into ripple)Tj
0 -28 TD
0.063 Tc
(loss orbits, not due to low edge poloidal flux \(trapped ions being ~30\
%\). The combined)Tj
T*
0.228 Tc
(effects of pitch angle scattering and ripple transport in the presence o\
f many magnetic)Tj
T*
-0.026 Tc
(ripple wells increases alpha losses to levels higher than has been accep\
table in ITER \(~5%)Tj
T*
0.016 Tc
(alpha power loss corresponding to the lowest tolerable wall heat load)Tj
/N10 8 Tf
333 5 TD
0 Tc
(11)Tj
/N10 12 Tf
8 -5 TD
0.134 Tc
(\). At higher fields)Tj
-341 -28 TD
0.239 Tc
(the alpha energy \(particle\) loss in one slowing down time is reduced t\
o 1 \(2\)%, if B is)Tj
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/N6 12 Tf
292.5 35 TD
0 Tc
0 Tw
(22)Tj
/N10 12 Tf
-184 674 TD
0.066 Tc
(increased to 16 T, unfortunately higher than is possible with contempora\
ry magnetic coil)Tj
0 -28 TD
0 Tc
(technology.)Tj
36 -28 TD
(For )Tj
23 0 TD
(a )Tj
12 0 TD
(tokamak, )Tj
51 0 TD
(we )Tj
21 0 TD
(would )Tj
37 0 TD
(expect )Tj
38 0 TD
(passing )Tj
43 0 TD
(ion )Tj
22 0 TD
(losses )Tj
36 0 TD
(to )Tj
17 0 TD
(be )Tj
18 0 TD
0.129 Tc
(proportional )Tj
68 0 TD
0 Tc
(to)Tj
-422 -28 TD
(1/poloidal flux = 1/BR)Tj
/N10 8 Tf
110 5 TD
(2)Tj
/N10 12 Tf
4 -5 TD
0.278 Tc
(. Tokamak trapped ion loss would to increase as the ratio )Tj
/N16 12 Tf
298 0 TD
(d)Tj
/N10 12 Tf
7 0 TD
(/)Tj
/N16 12 Tf
3 0 TD
(d)Tj
/N10 8 Tf
7 -2 TD
(s)Tj
/N10 12 Tf
-429 -26 TD
-0.076 Tc
(increases, where )Tj
/N16 12 Tf
81 0 TD
(d)Tj
/N10 12 Tf
7 0 TD
-0.092 Tc
( is a measure of the average field line ripple)Tj
-16 -27 TD
( )Tj
/N16 12 Tf
3 0 TD
(d)Tj
/N82 12 Tf
7 0 TD
0 Tc
( = \(B)Tj
/N82 10 Tf
25 -2 TD
(MAX)Tj
/N82 12 Tf
23 2 TD
(-B)Tj
/N82 10 Tf
12 -2 TD
(MIN)Tj
/N82 12 Tf
19 2 TD
(\) / \(B)Tj
/N82 10 Tf
25 -2 TD
(MAX)Tj
/N82 12 Tf
23 2 TD
(+B)Tj
/N82 10 Tf
15 -2 TD
(MIN)Tj
/N82 12 Tf
19 2 TD
(\))Tj
/N10 12 Tf
-243 -28 TD
(and)Tj
/N16 12 Tf
17 0 TD
1.037 Tc
( d)Tj
/N10 8 Tf
11 -2 TD
(s)Tj
/N10 12 Tf
3 2 TD
0.225 Tc
( is a stochastic threshold similar to the well known Goldston, White and\
Boozer)Tj
-31 -28 TD
0.04 Tc
(\(GWB\) stochastic threshold)Tj
/N10 8 Tf
135 5 TD
0 Tc
(28)Tj
/N82 12 Tf
-27 -35 TD
( )Tj
/N16 12 Tf
3 0 TD
(d)Tj
/N82 10 Tf
7 -2 TD
(GWB)Tj
/N82 12 Tf
24 2 TD
( = \()Tj
/N16 12 Tf
17 0 TD
(e)Tj
/N82 12 Tf
6 0 TD
(/N)Tj
/N16 12 Tf
12 0 TD
(p)Tj
/N82 12 Tf
7 0 TD
(q\))Tj
10 3 TD
(3/2)Tj
15 -3 TD
(\(1/)Tj
/N16 12 Tf
13 0 TD
(r)Tj
/N82 12 Tf
7 0 TD
(q'\).)Tj
-229 -27 TD
-0.072 Tc
(N is the number of toroidal field coils, )Tj
/N16 12 Tf
184 0 TD
(r)Tj
/N82 12 Tf
7 0 TD
-0.052 Tc
( is the ion gyro radius, )Tj
/N16 12 Tf
109 0 TD
(e)Tj
/N82 12 Tf
6 0 TD
0.062 Tc
( is the inverse aspect ratio)Tj
-306 -27 TD
-0.07 Tc
(a/R and q' the plasma shear, q' = r dq/dr. Because the threshold )Tj
/N10 12 Tf
303 0 TD
0 Tc
( ~ 1/)Tj
/N16 12 Tf
22 0 TD
(r)Tj
/N10 12 Tf
7 0 TD
(q)Tj
/N16 12 Tf
6 0 TD
(\242)Tj
/N10 12 Tf
3 0 TD
0.24 Tc
( ~ BR. We would)Tj
-341 -28 TD
0.142 Tc
(expect trapped ion loss to increase faster than 1/BR. Increasing ion en\
ergy is similar to)Tj
0 -28 TD
0.188 Tc
(reduced magnetic field in increasing the threshold for stochastic loss. \
The loss will not)Tj
T*
0.175 Tc
(drop smoothly with magnetic field since this is a threshold phenomenon b\
ut will rather)Tj
T*
0.058 Tc
(drop off in steps reflecting the stochastic topology.)Tj
36 -28 TD
0.155 Tc
(Figure 13 shows the simulation results for alpha loss from the QAS2_20 r\
eactor)Tj
-36 -28 TD
0.194 Tc
(as a function of B and R. Neither particle nor energy losses follow the \
1/BR)Tj
/N10 8 Tf
379 5 TD
0.667 Tc
(2 )Tj
/N10 12 Tf
12 -5 TD
0 Tc
(behavior)Tj
-391 -28 TD
0.095 Tc
(expected from edge poloidal flux considerations. Alpha particle loss in\
this QAS is also)Tj
0 -28 TD
0.233 Tc
(not controlled by edge )Tj
119 0 TD
0 Tc
(poloidal )Tj
45 0 TD
-0.266 Tc
(flux )Tj
24 0 TD
0 Tc
(- )Tj
10 0 TD
(multiple )Tj
46 0 TD
(stochastic )Tj
54 0 TD
-0.166 Tc
(regions )Tj
40 0 TD
0 Tc
(cause )Tj
32 0 TD
(a )Tj
11 0 TD
(parametric)Tj
-381 -28 TD
0.058 Tc
(dependence more like 1/B)Tj
/N10 8 Tf
127 5 TD
(2)Tj
/N10 12 Tf
4 -5 TD
0.359 Tc
(R for particle loss and 1/B)Tj
/N10 8 Tf
136 5 TD
(2)Tj
/N10 12 Tf
4 -5 TD
(R)Tj
/N10 8 Tf
8 5 TD
(2)Tj
/N10 12 Tf
4 -5 TD
0.301 Tc
( for energy loss. The residual)Tj
-283 -28 TD
0.192 Tc
(losses at very high field result from the presence of the stellarator st\
ochastic fields and)Tj
0 -28 TD
-0.062 Tc
(helical ripple wells.)Tj
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0 0 612 792 RC
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/N6 12 Tf
292.5 35 TD
0 Tc
0 Tw
(23)Tj
/N10 12 Tf
-148 674 TD
0.127 Tc
(Poor alpha confinement was characteristic of early stellarator designs w\
here any)Tj
-36 -28 TD
(trapped alpha \(v)Tj
/N10 8 Tf
80 -2 TD
0 Tc
(//)Tj
/N10 12 Tf
4 2 TD
0.018 Tc
( = 0\) was collisionlessly lost in a time less than an energy slowing do\
wn)Tj
-84 -28 TD
0.343 Tc
(time ~ 0.1 second. )Tj
104 0 TD
( )Tj
6 0 TD
0 Tc
(New )Tj
29 0 TD
(symmetric )Tj
57 0 TD
(stellarator )Tj
54 0 TD
(designs )Tj
41 0 TD
(are )Tj
20 0 TD
-0.18 Tc
(configured )Tj
56 0 TD
0 Tc
(to )Tj
16 0 TD
(solve )Tj
31 0 TD
(this)Tj
-414 -28 TD
(historic problem by maintaining vanishing bootstrap current \(W7-X)Tj
/N10 8 Tf
326 5 TD
(38)Tj
/N10 12 Tf
8 -5 TD
0.118 Tc
(, under construction)Tj
-334 -28 TD
0 Tc
(in Germany\) and with quasi-helical symmetry \(HSX)Tj
/N10 8 Tf
252 5 TD
(39)Tj
/N10 12 Tf
8 -5 TD
0.096 Tc
(, under construction in Wisconsin\).)Tj
-260 -28 TD
0 Tc
(These )Tj
35 0 TD
(stellarators )Tj
59 0 TD
(are )Tj
21 0 TD
(predicted )Tj
52 0 TD
(to )Tj
17 0 TD
(confine )Tj
42 0 TD
-0.095 Tc
(collisionless )Tj
65 0 TD
0 Tc
(alpha )Tj
33 0 TD
(particles )Tj
48 0 TD
(very )Tj
29 0 TD
(well)Tj
/N10 8 Tf
20 5 TD
(40)Tj
/N10 12 Tf
8 -5 TD
(.)Tj
-429 -28 TD
0.057 Tc
(ORBITMN alpha loss simulations were carried out for the QAS configuratio\
n which had)Tj
0 -28 TD
0.228 Tc
(the most promising )Tj
103 0 TD
0 Tc
(particle )Tj
42 0 TD
0.234 Tc
(transport )Tj
51 0 TD
0.183 Tc
(properties )Tj
56 0 TD
-0.277 Tc
(along )Tj
31 0 TD
0 Tc
(with )Tj
28 0 TD
-0.212 Tc
(ballooning )Tj
55 0 TD
0.121 Tc
(stability. )Tj
49 0 TD
0 Tc
(Yet)Tj
-415 -28 TD
0.18 Tc
(relatively high levels of alpha loss are predicted. Improved alpha part\
icle confinement)Tj
0 -28 TD
0.176 Tc
(and collection of lost alphas at the plasma edge through a cleverly plan\
ned divertor are)Tj
T*
0.137 Tc
(likely to be important for stellarator reactors as it has been for tokam\
ak reactor designs.)Tj
T*
0.151 Tc
(Calculations of collisional alpha transport for W7-X and HSX scaled to r\
eactor size are)Tj
T*
-0.109 Tc
(also needed.)Tj
/N8 12 Tf
0 -56 TD
0 Tc
(VI. CONCLUSION)Tj
/N10 12 Tf
36 -28 TD
-0.032 Tc
(A variety of toroidal magnetic configurations of size R = 145 cm and fie\
ld strength)Tj
-36 -28 TD
0.145 Tc
(B = 1 T have been studied with the new, Hamiltonian coordinate, Monte Ca\
rlo, particle)Tj
0 -28 TD
0.066 Tc
(following code ORBITMN, to evaluate the confinement of thermal and energ\
etic plasma)Tj
T*
0.221 Tc
(ions for compact QAS. The code was successfully benchmarked aginst GTC \
for QAS)Tj
T*
0.2 Tc
(thermal ion transport and against TRANSP for the axisymmetric component \
of neutral)Tj
T*
0.021 Tc
(beam ion transport. Several ballooning stable equilibrium magnetic geom\
etries with )Tj
/N16 12 Tf
413 0 TD
0 Tc
(b )Tj
/N10 12 Tf
12 0 TD
(<)Tj
-425 -28 TD
(7% )Tj
22 0 TD
(were )Tj
29 0 TD
(investigated. )Tj
66 0 TD
( )Tj
6 0 TD
(The )Tj
25 0 TD
-0.088 Tc
(configurations )Tj
74 0 TD
0 Tc
(considered )Tj
57 0 TD
(varied )Tj
35 0 TD
(widely )Tj
39 0 TD
(in )Tj
15 0 TD
(their )Tj
28 0 TD
(particle)Tj
-396 -28 TD
0.234 Tc
(transport )Tj
51 0 TD
0.168 Tc
(properties. )Tj
59 0 TD
( )Tj
6 0 TD
0 Tc
(Comparisons )Tj
70 0 TD
(were )Tj
29 0 TD
(made )Tj
31 0 TD
(to )Tj
16 0 TD
(equivalent )Tj
55 0 TD
(tokamak )Tj
47 0 TD
-0.094 Tc
(configurations)Tj
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-184 674 TD
0.315 Tc
(\(without TF ripple\) showing that tokamak transport is better by a fact\
or of at least 2,)Tj
0 -28 TD
0.089 Tc
(when measured by diffusion coefficients for thermal ions and by beam ion\
loss fractions)Tj
T*
-0.087 Tc
(for neutral beam heating ions.)Tj
36 -28 TD
0.055 Tc
(From simulations of 40 KeV neutral beam ions, the calculated loss fracti\
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-36 -28 TD
0.212 Tc
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0.157 Tc
(loss fractions were high, being )Tj
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(A)Tj
-423 -28 TD
0.163 Tc
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(high percentage of power: 28% of the beam energy and 51% of the beam io\
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(deposition the power losses increased to 41% in one slowing down time.)Tj
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0 -28 TD
0.103 Tc
(edge poloidal flux. Neutral beam ion fuelling and heating losses will a\
lso be minimized)Tj
T*
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(with lower field ripple and will be lowest for experiments with small va\
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/N16 12 Tf
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(n)Tj
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(^)Tj
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/N10 12 Tf
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0.118 Tc
(. Good neutral beam ion confinement at moderate ripple in QAS2_20 sugge\
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( r)Tj
/N10 12 Tf
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.)Tj
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21 0 TD
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-396 -28 TD
0.051 Tc
(confinement, scaled to reactor size, showed relatively high alpha loss, \
compared to ITER)Tj
0 -28 TD
-0.014 Tc
(Interim Design simulations. Reduction of alpha loss through lower rippl\
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T*
0.12 Tc
(a high priority in the search for QAS reactor configurations. Collision\
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T*
0.016 Tc
(simulations for other new stellarator designs, such as those with helica\
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T*
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(vanishing bootstrap current and those with constrained omnigeneity)Tj
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(high priority in reactor design.)Tj
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/N8 12 Tf
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( ACKNOWLEDGEMENTS)Tj
/N10 12 Tf
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0.139 Tc
( We are grateful to R. J. Goldston, R. J. Hawryluk and J. Hosea for thei\
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0.115 Tc
(and encouragement. We are glad to thank L-P. Ku, and D. Monticello for \
providing the)Tj
0 -28 TD
0.13 Tc
(magnetic configurations. It is also a pleasure to acknowledge S. P. Hir\
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T*
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-0.166 Tc
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(to )Tj
17 0 TD
(identify )Tj
45 0 TD
(good)Tj
-409 -28 TD
(candidate magnetic configurations with quasi-axisymmetric symmetry. We\
also thank R.)Tj
0 -28 TD
(Budny )Tj
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(and )Tj
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(D. )Tj
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(McCune )Tj
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(for )Tj
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(the )Tj
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(TRANSP )Tj
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(for )Tj
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0.284 Tc
(PBX-M. )Tj
51 0 TD
( )Tj
8 0 TD
( )Tj
8 0 TD
0.665 Tc
(M.)Tj
-417 -28 TD
0.079 Tc
(Suewattana held a DOE National Undergraduate Fellowship at PPPL during t\
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0 -28 TD
0.108 Tc
(of 1998. This research was supported by U. S. Department of Energy Cont\
ract No. DE-)Tj
T*
0 Tc
(AC02-76-CH03073.)Tj
102 0 TD
( )Tj
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(REFERENCES)Tj
/N10 12 Tf
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0.022 Tc
(a\) Present address: Physics Department, Lehigh University, Bethlehem, \
PA 18015.)Tj
0 -28 TD
0.135 Tc
( [1] J. Nuehrenberg, W. Lotz and S. Gori, in )Tj
/N40 12 Tf
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0.236 Tc
(Theory of Fusion Plasmas)Tj
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(, E. Sindoni, F.)Tj
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-0.054 Tc
(Troyon and J. Vaclavik, eds., SIF, Bologna, 1994.)Tj
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([2] P. R. Garabedian, Phys. Plasmas )Tj
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(3)Tj
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(, 2483 \(1996\).)Tj
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0.254 Tc
([3] H. Renner, W7AS Team, NBI Group, ICF Group and ECRH Group, Plasma Ph\
ys.)Tj
0 -28 TD
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(Controlled Fusion )Tj
/N8 12 Tf
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(31)Tj
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(, 1579 \(1980\).)Tj
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0.468 Tc
([4] A. H. )Tj
54 0 TD
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(Boozer, )Tj
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(Plasma )Tj
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0.166 Tc
(Physics )Tj
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(, )Tj
9 0 TD
(A103 )Tj
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(\(1995\). )Tj
41 0 TD
( )Tj
6 0 TD
(A. )Tj
18 0 TD
(H.)Tj
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0.105 Tc
(Boozer, Phys. Plas.)Tj
/N8 12 Tf
95 0 TD
0 Tc
( 5)Tj
/N10 12 Tf
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(, 1647 \(1998\).)Tj
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0.277 Tc
([5] A. H. Boozer, Plasma Physics Reports )Tj
/N8 12 Tf
218 0 TD
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(23)Tj
/N10 12 Tf
12 0 TD
0.465 Tc
(, 483 \(1997\). A. Reiman, L. P. Ku, D.)Tj
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(Monticello, )Tj
/N40 12 Tf
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0.201 Tc
(et al)Tj
/N10 12 Tf
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0.223 Tc
(. Proceedings of the )Tj
106 0 TD
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(Seventeenth )Tj
64 0 TD
(International )Tj
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-0.118 Tc
(Conference )Tj
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(on )Tj
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(Plasma)Tj
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(Physics )Tj
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(\(Yokahama, )Tj
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(Japan\) )Tj
38 0 TD
(October, )Tj
49 0 TD
(1998.)Tj
-405 -28 TD
-0.022 Tc
(\(International Atomic Energy Agency, Vienna, Austria\) to be published.\
)Tj
0 -28 TD
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([6] R. E. Bell, N. Asakur, S. Bernabei, )Tj
/N40 12 Tf
185 0 TD
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/N10 12 Tf
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0.103 Tc
(., Phys. Fluids )Tj
/N8 12 Tf
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(B2)Tj
/N10 12 Tf
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0.156 Tc
(, 1271 \(1990\). B. LeBlanc,)Tj
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(S. Batha, R. Bell, )Tj
/N40 12 Tf
85 0 TD
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(et al)Tj
/N10 12 Tf
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0.11 Tc
(., Phys. Plas. )Tj
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(2)Tj
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(, 741 \(1995\).)Tj
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([7] H. Eubank, R. Goldston, J. Hosea,)Tj
/N40 12 Tf
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( et al)Tj
/N10 12 Tf
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0.111 Tc
(, Phys. Rev. Lett.)Tj
/N8 12 Tf
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( 43)Tj
/N10 12 Tf
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(, 270 \(1979\).)Tj
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([8] G. Y. Fu, L. P. Ku, N. Pomphry, )Tj
/N40 12 Tf
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(\(Yokahama,)Tj
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0.19 Tc
(Japan\) October, )Tj
85 0 TD
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(1998. )Tj
33 0 TD
(\(International )Tj
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(Atomic )Tj
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(Energy )Tj
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(Agency, )Tj
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(Vienna, )Tj
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(Austria\) )Tj
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(published.)Tj
0 -28 TD
0.214 Tc
([9] M. H. Redi, M. C. Zarnstorff, R. B. White, R. V. Budny, A. \
C. Janos, D. K.)Tj
T*
0 Tc
(Owens, J. F. Schivell, S. D. Scott and S. J. Zweben, Nuclear Fusi\
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/N8 12 Tf
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(35)Tj
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0.143 Tc
(, 1191 \(1995\).)Tj
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([10] M. H. Redi, R. V. Budny, D. S. Darrow, H. H. Duong, R. K. \
Fisher, A. C.)Tj
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(Janos, J. M. McChesney, D. C. McCune, S. S. Medley, M. P. Petrov\
, J. F.)Tj
0 -28 TD
0.381 Tc
(Schivell, S. D. Scott, R. B. White, M. C. Zarnstorff and S. J. Z\
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T*
0 Tc
(Fusion )Tj
/N8 12 Tf
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(35)Tj
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(, 1509 \(1995\).)Tj
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0.334 Tc
([11] M. H. Redi,)Tj
/N6 12 Tf
92 0 TD
( )Tj
/N10 12 Tf
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0.344 Tc
( R. V. Budny, C. O. Miller, R. B. White, Phys. Plas. )Tj
/N8 12 Tf
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(3)Tj
/N10 12 Tf
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(, 3037)Tj
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(\(1996\).)Tj
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( )Tj
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0.241 Tc
([12] M. H. Redi, R. B. White, S. H. Batha, F. M. Levinton, D. C. McCune,\
Physics of)Tj
0 -28 TD
0 Tc
(Plasmas,)Tj
/N8 12 Tf
42 0 TD
( 4,)Tj
/N10 12 Tf
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( 4001 \(1997\).)Tj
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([13] S. J. Zweben, D. S. Darrow, S. H. Batha, )Tj
/N40 12 Tf
222 0 TD
(et al,)Tj
/N10 12 Tf
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( Nuclear Fusion, )Tj
/N8 12 Tf
82 0 TD
(38)Tj
/N10 12 Tf
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(, 739 \(1998\).)Tj
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([14] K. Tani, T. Takizuka, M. Azumi, H. Kishimoto, Nucl. Fusion )Tj
/N8 12 Tf
356 0 TD
0 Tc
(23)Tj
/N10 12 Tf
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0.154 Tc
(, 657 \(1983\).)Tj
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([15] R. B. White, R. J. Goldston, M. H. Redi, R. V. Budny, Phys. Plas.,)Tj
/N8 12 Tf
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0 Tc
( 3)Tj
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(, 3043 \(1996\).)Tj
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([16] R. B. White and M. S. Chance, Phys. Fluids )Tj
/N8 12 Tf
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(27, )Tj
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(2455 \(1984\) .)Tj
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([17] S. P. Hirshman and J. C. Whitson, Phys. Fluids )Tj
/N8 12 Tf
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0 Tc
(26)Tj
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(, 2553 \(1983\))Tj
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([18] )Tj
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(F. )Tj
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-0.137 Tc
(Najmadbadi, )Tj
66 0 TD
0 Tc
(the )Tj
21 0 TD
(ARIES )Tj
41 0 TD
(Team: )Tj
37 0 TD
(C. )Tj
18 0 TD
(G. )Tj
19 0 TD
(Bathe, )Tj
38 0 TD
0.443 Tc
(M. )Tj
22 0 TD
0 Tc
(C. )Tj
18 0 TD
-0.184 Tc
(Billane, )Tj
/N40 12 Tf
43 0 TD
0 Tc
(et )Tj
15 0 TD
(al,)Tj
/N10 12 Tf
12 0 TD
( )Tj
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(Fusion)Tj
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-0.216 Tc
(Engineering and Design )Tj
/N8 12 Tf
114 0 TD
0 Tc
(38)Tj
/N10 12 Tf
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( \(1997\) 1-218.)Tj
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([19] W. A. Cooper, )Tj
/N40 12 Tf
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(et al)Tj
/N10 12 Tf
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(, Nucl. Fusion )Tj
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(29)Tj
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(, 617 \(1989\).)Tj
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([20] H. Mynick, Plasma Physics Reports )Tj
/N8 12 Tf
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0 Tc
(23)Tj
/N10 12 Tf
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(, 547 \(1997\).)Tj
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([21] R. B. White, )Tj
/N40 12 Tf
90 0 TD
0.24 Tc
(Theory of Tokamak Plasmas)Tj
/N10 12 Tf
143 0 TD
0.251 Tc
(, Princeton University Press, Princeton,)Tj
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0.084 Tc
(NJ, \(1989\) p. 74-84.)Tj
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0 Tc
([22] J. Wesson, )Tj
/N40 12 Tf
78 0 TD
0.292 Tc
(Tokamaks)Tj
/N10 12 Tf
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0.043 Tc
(, Oxford University Press, Oxford, UK, \(1987\) p. 92-93.)Tj
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([23] )Tj
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(R. V. Budny, D. C. McCune, M. H. Redi, J. Schivell, R. M. Wiela\
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([37] M. H. Redi, R. B. White, R. J. Goldston, in Plasma Physics a\
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(Nuclear Fusion Research 1996 \(Proc. 23rd E. P. )Tj
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)Tj
0 -14 TD
(________________________________________________________________________\
)Tj
/N8 12 Tf
144 -56 TD
0.12 Tc
( Thermal ions Neutral Beam Alpha Particles)Tj
/N10 12 Tf
-144 -28 TD
0 Tc
(________________________________________________________________________\
)Tj
36 -28 TD
(QAS2_20 )Tj
144 0 TD
(0.03 )Tj
72 0 TD
( 0.001)Tj
-216 -28 TD
(QAS2_40 )Tj
144 0 TD
(0.03 )Tj
72 0 TD
( 0.001)Tj
-216 -28 TD
(QAS4_40 )Tj
144 0 TD
(0.07 )Tj
72 0 TD
(0.002)Tj
-216 -28 TD
(QAS3_34 )Tj
144 0 TD
(0.12 )Tj
36 0 TD
( )Tj
36 0 TD
(0.002)Tj
-216 -28 TD
(QAS3_53)Tj
144 0 TD
(0.40)Tj
72 0 TD
(0.002)Tj
-216 -56 TD
0.121 Tc
(TOKQAS2_20 )Tj
144 0 TD
0 Tc
(0.05)Tj
-144 -28 TD
0.111 Tc
(TOKQAS2_20q )Tj
144 0 TD
0 Tc
(0.05 )Tj
72 0 TD
( 0.0001)Tj
-216 -28 TD
0.268 Tc
(TOK0 )Tj
144 0 TD
0 Tc
(0.05)Tj
72 0 TD
(0.0001)Tj
-216 -56 TD
(QAS2_20 reactor)Tj
288 0 TD
(0.000018)Tj
-324 -28 TD
(________________________________________________________________________\
)Tj
0 -14 TD
(________________________________________________________________________\
)Tj
ET
PDFVars/TermAll get exec end end
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% Begin encoding-delta
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0 0 612 792 RC
BT
/N6 12 Tf
292.5 35 TD
0 Tc
0 Tw
(34)Tj
/N8 12 Tf
-184 674 TD
(TABLE V. Neutral beam ion loss during)Tj
/N121 12 Tf
217 0 TD
( )Tj
/N16 12 Tf
3 0 TD
(t)Tj
/N16 7 Tf
6 -3 TD
(e)Tj
/N121 12 Tf
3 3 TD
( )Tj
/N8 12 Tf
3 0 TD
0.078 Tc
(from QAS2_20,)Tj
-196 -28 TD
0 Tc
(for )Tj
/N16 12 Tf
18 0 TD
(n)Tj
/N16 7 Tf
7 -3 TD
(^)Tj
/N8 12 Tf
5 3 TD
(\(0\)=35/sec)Tj
/N16 12 Tf
52 0 TD
(, n)Tj
/N16 7 Tf
13 -3 TD
(e)Tj
/N8 12 Tf
3 3 TD
(= 37/sec)Tj
/N10 12 Tf
-134 -28 TD
(________________________________________________________________________\
)Tj
0 -14 TD
(________________________________________________________________________\
)Tj
/N8 12 Tf
0 -42 TD
( R)Tj
/N8 8 Tf
20 -2 TD
(inj)Tj
/N8 12 Tf
52 2 TD
0.134 Tc
(Co/Counter)Tj
72 0 TD
0.047 Tc
(Parallel/Perpendicular Energy Loss)Tj
216 0 TD
0 Tc
(Particle Loss)Tj
/N10 12 Tf
-360 -28 TD
( \(cm\))Tj
288 0 TD
( \(%\) )Tj
72 0 TD
( \(%\))Tj
-360 -28 TD
(_______________________________________________________________________)Tj
0 -28 TD
( )Tj
/N8 12 Tf
3 0 TD
0.108 Tc
(With no pitch angle scattering,)Tj
/N16 12 Tf
161 0 TD
( )Tj
/N8 12 Tf
3 0 TD
0 Tc
(Bz=1.4 T)Tj
/N10 12 Tf
-167 -28 TD
( 130 )Tj
108 0 TD
(co)Tj
72 0 TD
(parallel)Tj
108 0 TD
( 0.4 )Tj
72 0 TD
( 0.4)Tj
-360 -28 TD
( 34)Tj
108 0 TD
(co )Tj
72 0 TD
(perpendicular)Tj
108 0 TD
( 1.3)Tj
72 0 TD
( 1.6)Tj
-360 -28 TD
( -34)Tj
108 0 TD
(counter)Tj
72 0 TD
(perpendicular)Tj
108 0 TD
( 36)Tj
72 0 TD
( 41)Tj
-360 -28 TD
(-130)Tj
108 0 TD
(counter)Tj
72 0 TD
(parallel)Tj
108 0 TD
( 1.5 )Tj
36 0 TD
( )Tj
36 0 TD
( 1.5)Tj
/N8 12 Tf
-360 -56 TD
0.101 Tc
(With pitch angle scattering, Bz=1.4 T)Tj
/N10 12 Tf
0 -28 TD
0 Tc
( 130 )Tj
108 0 TD
(co)Tj
72 0 TD
(parallel)Tj
108 0 TD
( 7 )Tj
72 0 TD
( 12)Tj
-360 -28 TD
( 34)Tj
108 0 TD
(co )Tj
72 0 TD
(perpendicular)Tj
108 0 TD
( 53 )Tj
72 0 TD
( 70)Tj
-360 -28 TD
( -34)Tj
108 0 TD
(counter)Tj
72 0 TD
(perpendicular)Tj
108 0 TD
( 72)Tj
72 0 TD
( 84)Tj
-360 -28 TD
(-130)Tj
108 0 TD
(counter)Tj
72 0 TD
(parallel)Tj
108 0 TD
( 26 )Tj
72 0 TD
( 48)Tj
/N8 12 Tf
-360 -56 TD
0.096 Tc
(With pitch angle scattering, Bz = 2.8 T)Tj
/N10 12 Tf
0 -28 TD
0 Tc
( 130 )Tj
108 0 TD
(co)Tj
72 0 TD
(parallel)Tj
108 0 TD
( 3 )Tj
72 0 TD
( 6)Tj
-360 -28 TD
(________________________________________________________________________\
)Tj
0 -14 TD
(________________________________________________________________________\
)Tj
ET
PDFVars/TermAll get exec end end
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% Begin encoding-delta
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% Begin encoding-delta
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0 0 612 792 RC
BT
/N6 12 Tf
292.5 35 TD
0 Tc
0 Tw
(35)Tj
/N8 12 Tf
-184 674 TD
(TABLE VI. Neutral beam ion loss during)Tj
/N121 12 Tf
212 0 TD
( )Tj
/N16 12 Tf
3 0 TD
(t)Tj
/N16 7 Tf
6 -3 TD
(e)Tj
/N121 12 Tf
3 3 TD
( )Tj
/N8 12 Tf
3 0 TD
0.078 Tc
(from QAS2_20,)Tj
-191 -28 TD
0 Tc
(for )Tj
/N16 12 Tf
18 0 TD
(n)Tj
/N16 7 Tf
7 -3 TD
(^)Tj
/N8 12 Tf
5 3 TD
(\(0\)=17/sec)Tj
/N16 12 Tf
52 0 TD
(, n)Tj
/N16 7 Tf
13 -3 TD
(e)Tj
/N8 12 Tf
3 3 TD
(= 17/sec)Tj
/N10 12 Tf
-134 -14 TD
(________________________________________________________________________\
)Tj
0 -14 TD
(________________________________________________________________________\
)Tj
/N8 12 Tf
0 -42 TD
( R)Tj
/N8 8 Tf
20 -2 TD
(inj)Tj
/N8 12 Tf
52 2 TD
0.134 Tc
(Co/Counter)Tj
72 0 TD
0.047 Tc
(Parallel/Perpendicular Energy Loss)Tj
216 0 TD
0 Tc
(Particle Loss)Tj
/N10 12 Tf
-360 -28 TD
( \(cm\))Tj
288 0 TD
( \(%\) )Tj
72 0 TD
( \(%\))Tj
-360 -28 TD
(_______________________________________________________________________)Tj
/N8 12 Tf
0 -28 TD
0.108 Tc
(With no pitch angle scattering,)Tj
/N16 12 Tf
161 0 TD
( )Tj
/N8 12 Tf
3 0 TD
0 Tc
(Bz)Tj
/N16 12 Tf
14 0 TD
0.181 Tc
(=1.4 T)Tj
/N10 12 Tf
-178 -28 TD
0 Tc
( 130 )Tj
108 0 TD
(co)Tj
72 0 TD
(parallel)Tj
108 0 TD
( )Tj
36 0 TD
(0.4 )Tj
72 0 TD
( 0.4)Tj
-396 -28 TD
( 34)Tj
108 0 TD
(co )Tj
72 0 TD
(perpendicular)Tj
144 0 TD
( 4)Tj
72 0 TD
( 4)Tj
-396 -28 TD
( -34)Tj
108 0 TD
(counter)Tj
72 0 TD
(perpendicular)Tj
144 0 TD
(53)Tj
72 0 TD
( 57)Tj
-396 -28 TD
(-130)Tj
108 0 TD
(counter)Tj
72 0 TD
(parallel)Tj
108 0 TD
( )Tj
36 0 TD
(0.4 )Tj
36 0 TD
( )Tj
36 0 TD
( 0.4)Tj
/N8 12 Tf
-396 -56 TD
0.111 Tc
(With pitch angle scattering)Tj
/N16 12 Tf
142 0 TD
( )Tj
/N8 12 Tf
3 0 TD
0 Tc
(, Bz=1.4 T)Tj
/N10 12 Tf
-145 -28 TD
( 130 )Tj
108 0 TD
(co)Tj
72 0 TD
(parallel)Tj
108 0 TD
( )Tj
36 0 TD
(21)Tj
72 0 TD
( 39)Tj
-396 -28 TD
( 34)Tj
108 0 TD
(co )Tj
72 0 TD
(perpendicular)Tj
108 0 TD
( )Tj
36 0 TD
(72 )Tj
72 0 TD
( 88)Tj
-396 -28 TD
( -34)Tj
108 0 TD
(counter)Tj
72 0 TD
(perpendicular)Tj
144 0 TD
(88)Tj
72 0 TD
( 96)Tj
-396 -28 TD
(-130)Tj
108 0 TD
(counter)Tj
72 0 TD
(parallel)Tj
108 0 TD
( )Tj
36 0 TD
(47 )Tj
72 0 TD
( 70)Tj
/N8 12 Tf
-396 -56 TD
0.111 Tc
(With pitch angle scattering)Tj
/N16 12 Tf
142 0 TD
( )Tj
/N8 12 Tf
3 0 TD
(,)Tj
/N6 12 Tf
3 0 TD
( )Tj
/N8 12 Tf
3 0 TD
0 Tc
(Bz = 2.8 T)Tj
/N10 12 Tf
-151 -28 TD
( 130 )Tj
108 0 TD
(co)Tj
72 0 TD
(parallel)Tj
108 0 TD
( )Tj
36 0 TD
(6 )Tj
72 0 TD
( 11)Tj
-396 -28 TD
(________________________________________________________________________\
)Tj
0 -14 TD
(________________________________________________________________________\
)Tj
ET
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0 0 612 792 RC
BT
/N6 12 Tf
292.5 35 TD
0 Tc
0 Tw
(36)Tj
/N8 12 Tf
-184 674 TD
0.043 Tc
(TABLE VII. Parallel coinjected neutral beam ion loss during)Tj
/N121 12 Tf
324 0 TD
( )Tj
/N16 12 Tf
3 0 TD
(t)Tj
/N16 7 Tf
6 -3 TD
(e)Tj
/N8 12 Tf
3 3 TD
0 Tc
( for toroidal)Tj
-336 -28 TD
0.129 Tc
(confinement designs of PBX-M size for )Tj
/N16 12 Tf
210 0 TD
(n)Tj
/N16 7 Tf
7 -3 TD
(e)Tj
/N8 12 Tf
3 3 TD
0 Tc
( = 37/sec, <)Tj
/N16 12 Tf
57 0 TD
(n)Tj
/N16 7 Tf
7 -3 TD
(^)Tj
/N8 12 Tf
5 3 TD
(/)Tj
/N16 12 Tf
3 0 TD
(n)Tj
/N16 7 Tf
7 -3 TD
(e)Tj
/N8 12 Tf
3 3 TD
(> = 0.67)Tj
/N10 12 Tf
-302 -28 TD
(________________________________________________________________________\
)Tj
0 -14 TD
(________________________________________________________________________\
)Tj
/N8 12 Tf
0 -42 TD
0.049 Tc
( Low edge deposition profile \
High edge deposition profile)Tj
0 -28 TD
( Energy loss Particle loss )Tj
/N10 12 Tf
259 0 TD
0 Tc
( )Tj
/N8 12 Tf
39 0 TD
0.129 Tc
(Energy loss Particle loss)Tj
/N10 12 Tf
-154 -28 TD
0 Tc
(\(%\) )Tj
72 0 TD
(\(%\) )Tj
108 0 TD
(\(%\) )Tj
72 0 TD
( \(%\))Tj
-396 -28 TD
(_______________________________________________________________________)Tj
/N8 12 Tf
0 -28 TD
0.209 Tc
(QAS stellarators)Tj
/N10 12 Tf
36 -28 TD
0 Tc
(QAS2_20 )Tj
108 0 TD
( 7)Tj
72 0 TD
(12 )Tj
-180 -28 TD
(QAS2_40 )Tj
108 0 TD
( 27)Tj
72 0 TD
(49)Tj
-180 -28 TD
(QAS3_34 )Tj
108 0 TD
(14)Tj
72 0 TD
(27 )Tj
-180 -28 TD
(QAS3_53)Tj
108 0 TD
(26)Tj
72 0 TD
(48)Tj
-180 -28 TD
(QAS4_40 )Tj
108 0 TD
( 25)Tj
72 0 TD
(45)Tj
-180 -28 TD
(QAS3_53\(1T\))Tj
108 0 TD
( 28)Tj
72 0 TD
(51)Tj
108 0 TD
(41)Tj
72 0 TD
(65)Tj
/N8 12 Tf
-396 -28 TD
(Tokamaks)Tj
/N10 12 Tf
36 -28 TD
0.133 Tc
(TOKQAS2_20)Tj
108 0 TD
0 Tc
( 10 )Tj
72 0 TD
(18 )Tj
-180 -28 TD
0.121 Tc
(TOKQAS2_20q)Tj
108 0 TD
0 Tc
( 0)Tj
72 0 TD
( 0)Tj
-180 -28 TD
0.144 Tc
(TOKQAS3_53\(1T\))Tj
108 0 TD
0 Tc
( 16)Tj
72 0 TD
(32)Tj
108 0 TD
(16)Tj
72 0 TD
(31)Tj
-396 -14 TD
(________________________________________________________________________\
)Tj
0 -14 TD
(________________________________________________________________________\
)Tj
ET
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% Begin encoding-delta
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% End encoding-delta
0 0 612 792 RC
BT
/N6 12 Tf
292.5 35 TD
0 Tc
0 Tw
(37)Tj
/N8 12 Tf
-184 648 TD
-0.025 Tc
(TABLE VIII. Neutral beam ion loss during)Tj
/N121 12 Tf
223 0 TD
( )Tj
/N16 12 Tf
3 0 TD
(t)Tj
/N16 7 Tf
6 -3 TD
(e)Tj
/N121 12 Tf
3 3 TD
( )Tj
/N8 12 Tf
3 0 TD
0.063 Tc
(for QAS3_53 \(1T\))Tj
/N121 12 Tf
96 0 TD
( )Tj
-298 -28 TD
0 Tc
(\(<)Tj
/N16 12 Tf
11 0 TD
(n)Tj
/N16 7 Tf
7 -3 TD
(^)Tj
/N16 12 Tf
5 3 TD
(/n)Tj
/N16 7 Tf
10 -3 TD
(e)Tj
/N121 12 Tf
3 3 TD
(>= 0.67)Tj
/N8 12 Tf
41 0 TD
(, )Tj
/N16 12 Tf
6 0 TD
(n)Tj
/N16 7 Tf
7 -3 TD
(e)Tj
/N8 12 Tf
3 3 TD
(= 37/sec\))Tj
/N10 12 Tf
-129 -28 TD
(________________________________________________________________________\
)Tj
0 -14 TD
(________________________________________________________________________\
)Tj
/N8 12 Tf
0 -42 TD
( R)Tj
/N8 8 Tf
20 -2 TD
(inj)Tj
/N8 12 Tf
52 2 TD
0.134 Tc
(Co/Counter)Tj
72 0 TD
0.091 Tc
(Parallel/Perpendicular )Tj
144 0 TD
0 Tc
(Energy Loss)Tj
72 0 TD
(Particle Loss)Tj
/N10 12 Tf
-360 -28 TD
( \(cm\))Tj
288 0 TD
( )Tj
36 0 TD
( \(%\) )Tj
72 0 TD
( \(%\))Tj
-396 -28 TD
(_______________________________________________________________________)Tj
0 -28 TD
( 130 )Tj
108 0 TD
(co)Tj
72 0 TD
(parallel)Tj
108 0 TD
( )Tj
36 0 TD
( 28 )Tj
72 0 TD
( 51)Tj
-396 -28 TD
( 34)Tj
108 0 TD
(co )Tj
72 0 TD
(perpendicular)Tj
144 0 TD
( 76 )Tj
72 0 TD
( 91)Tj
-396 -28 TD
( -34)Tj
108 0 TD
(counter)Tj
72 0 TD
(perpendicular)Tj
144 0 TD
( 100)Tj
72 0 TD
( 100)Tj
-396 -28 TD
(-130)Tj
108 0 TD
(counter)Tj
72 0 TD
(parallel)Tj
108 0 TD
( )Tj
36 0 TD
( 79 )Tj
72 0 TD
( 91)Tj
-396 -28 TD
(________________________________________________________________________\
)Tj
0 -14 TD
(________________________________________________________________________\
)Tj
ET
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% Begin encoding-delta
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% Begin encoding-delta
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0 0 612 792 RC
BT
/N6 12 Tf
292.5 35 TD
0 Tc
0 Tw
(38)Tj
/N8 12 Tf
-184 674 TD
0.096 Tc
(TABLE IX. Collisionality dependence of neutral beam ion loss)Tj
36 -14 TD
0.111 Tc
(from QAS3_53\(1T\) with high edge deposition)Tj
/N10 12 Tf
-36 -28 TD
0 Tc
(________________________________________________________________________\
)Tj
0 -14 TD
(________________________________________________________________________\
)Tj
36 -42 TD
( )Tj
72 0 TD
( )Tj
72 0 TD
(<)Tj
/N16 12 Tf
7 0 TD
(n)Tj
/N16 7 Tf
7 -3 TD
(^)Tj
/N10 12 Tf
5 3 TD
(>)Tj
/N16 12 Tf
53 0 TD
(n)Tj
/N10 8 Tf
7 -2 TD
(e)Tj
/N10 12 Tf
29 2 TD
(<)Tj
/N16 12 Tf
7 0 TD
( n)Tj
/N16 7 Tf
10 -3 TD
(^)Tj
/N10 12 Tf
5 3 TD
(/)Tj
/N16 12 Tf
3 0 TD
(n)Tj
/N10 8 Tf
7 -2 TD
(e)Tj
/N10 12 Tf
4 2 TD
( > )Tj
36 0 TD
( E loss)Tj
/N16 12 Tf
0 -28 TD
(t)Tj
/N10 8 Tf
6 -2 TD
(e)Tj
/N16 12 Tf
4 2 TD
( )Tj
26 0 TD
(2t)Tj
/N10 8 Tf
12 -2 TD
(e)Tj
/N10 12 Tf
-408 -12 TD
(________________________________________________________________________\
)Tj
36 -28 TD
-0.165 Tc
(4 e13/cm)Tj
/N10 8 Tf
43 5 TD
0 Tc
(3 a)Tj
/N10 12 Tf
29 -5 TD
(1.3 keV)Tj
72 0 TD
(24/s)Tj
72 0 TD
(35/s)Tj
36 0 TD
(0.67)Tj
72 0 TD
(41%)Tj
36 0 TD
(49%)Tj
-360 -28 TD
-0.165 Tc
(4 e13/cm)Tj
/N10 8 Tf
43 5 TD
0 Tc
(3 b)Tj
/N10 12 Tf
29 -5 TD
(1.3 keV)Tj
72 0 TD
(0/s)Tj
72 0 TD
(35/s)Tj
36 0 TD
(0)Tj
72 0 TD
(17%)Tj
-324 -28 TD
-0.165 Tc
(6.e13/cm)Tj
/N10 8 Tf
43 5 TD
0 Tc
(3 c)Tj
/N10 12 Tf
29 -5 TD
(1.3 keV)Tj
72 0 TD
(34/s)Tj
72 0 TD
(50/s)Tj
36 0 TD
(0.67)Tj
72 0 TD
(41%)Tj
36 0 TD
(50%)Tj
-360 -56 TD
(3 e19)Tj
72 0 TD
(2.65)Tj
72 0 TD
(26)Tj
72 0 TD
(18)Tj
36 0 TD
(1.0)Tj
72 0 TD
(48)Tj
-324 -28 TD
(5 e19)Tj
72 0 TD
(2.42)Tj
72 0 TD
(44)Tj
72 0 TD
(23)Tj
36 0 TD
(1.3)Tj
72 0 TD
(53)Tj
-324 -28 TD
(5 e19)Tj
72 0 TD
(1.9)Tj
72 0 TD
(44)Tj
72 0 TD
(26)Tj
36 0 TD
(1.2)Tj
72 0 TD
(51)Tj
-324 -28 TD
(7 e19)Tj
72 0 TD
(1.75)Tj
72 0 TD
(62)Tj
72 0 TD
(40)Tj
36 0 TD
(1.1)Tj
72 0 TD
(47)Tj
-324 -28 TD
(9 e19)Tj
72 0 TD
(1.55)Tj
72 0 TD
(79)Tj
72 0 TD
(56)Tj
36 0 TD
(1.0)Tj
72 0 TD
(46)Tj
-360 -28 TD
(________________________________________________________________________\
)Tj
/N10 8 Tf
0 -37 TD
(a)Tj
/N10 12 Tf
4 -5 TD
0.052 Tc
( Plasma parameters, PBX-M 53944, Zeff = 1.8.)Tj
/N10 8 Tf
-4 -23 TD
(b)Tj
/N10 12 Tf
4 -5 TD
0.054 Tc
( Plasma parameters, PBX-M 53944, Zeff = 0.)Tj
/N10 8 Tf
-4 -23 TD
(c)Tj
/N10 12 Tf
4 -5 TD
0 Tc
( ISS95 transport scaling.)Tj
-4 -28 TD
(________________________________________________________________________\
)Tj
0 -14 TD
(________________________________________________________________________\
)Tj
ET
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/N6 12 Tf
292.5 35 TD
0 Tc
0 Tw
(39)Tj
/N8 12 Tf
-40 674 TD
0.073 Tc
(List of figure captions)Tj
/N10 12 Tf
-144 -28 TD
-0.148 Tc
(Figure 1.)Tj
36 -28 TD
-0.065 Tc
( a\) Magnetic flux surfaces at)Tj
/N16 12 Tf
138 0 TD
0.874 Tc
( f)Tj
/N10 12 Tf
11 0 TD
-0.034 Tc
(=0 of the QAS2_20 configuration.)Tj
-149 -28 TD
-0.056 Tc
(b\) Magnetic flux surfaces at )Tj
/N16 12 Tf
136 0 TD
(f)Tj
/N10 12 Tf
8 0 TD
-0.034 Tc
(=0 of the QAS2_40 configuration.)Tj
-144 -28 TD
-0.067 Tc
(c\) Magnetic flux surfaces at )Tj
/N16 12 Tf
135 0 TD
(f)Tj
/N10 12 Tf
8 0 TD
-0.034 Tc
(=0 of the QAS3_34 configuration.)Tj
-143 -28 TD
-0.056 Tc
(d\) Magnetic flux surfaces at )Tj
/N16 12 Tf
136 0 TD
(f)Tj
/N10 12 Tf
8 0 TD
-0.034 Tc
(=0 of the QAS4_40 configuration.)Tj
-144 -28 TD
-0.067 Tc
(e\) Magnetic flux surfaces at )Tj
/N16 12 Tf
135 0 TD
(f)Tj
/N10 12 Tf
8 0 TD
0.079 Tc
(=0 of the TOKQAS2_20 and TOKQAS2_20q )Tj
-143 -28 TD
-0.088 Tc
(configurations.)Tj
0 -28 TD
-0.055 Tc
(f\) Magnetic flux surfaces at )Tj
/N16 12 Tf
134 0 TD
(f)Tj
/N10 12 Tf
8 0 TD
0 Tc
(=0 of the TOK0 configuration.)Tj
-178 -28 TD
-0.148 Tc
(Figure 2.)Tj
36 -28 TD
-0.017 Tc
( a\) Q versus toroidal flux for the QAS2_20 and TOKQAS2_20q configurati\
ons.)Tj
0 -28 TD
-0.041 Tc
(b\) Q versus toroidal flux for the QAS2_40 configuration.)Tj
T*
-0.047 Tc
(c\) Q versus toroidal flux for the QAS_34 configuration.)Tj
T*
-0.041 Tc
(d\) Q versus toroidal flux for the QAS4_40 configuration.)Tj
T*
-0.02 Tc
(e\) Q versus toroidal flux for for the TOKQAS2_20 configuration.)Tj
T*
0 Tc
(f\) Q versus toroidal flux for for the TOK0 configuration.)Tj
-36 -28 TD
-0.148 Tc
(Figure 3.)Tj
45 0 TD
( )Tj
-9 -28 TD
-0.057 Tc
( Initial thermal ion density profile versus edge normalized toroidal fl\
ux )Tj
/N16 12 Tf
343 0 TD
0.452 Tc
(F/F)Tj
/N10 12 Tf
23 0 TD
0 Tc
(\(a\).)Tj
-402 -28 TD
-0.148 Tc
(Figure 4.)Tj
36 -28 TD
0 Tc
( a\) Final ion density profiles after 400 toroidal transits versus norm\
alized )Tj
0 -28 TD
-0.118 Tc
(toroidal flux )Tj
/N16 12 Tf
61 0 TD
0.452 Tc
(F/F)Tj
/N10 12 Tf
23 0 TD
-0.048 Tc
(\(a\) for the QAS2_20 configuration.)Tj
-84 -28 TD
0 Tc
(b\) Final ion density profiles after 400 toroidal transits versus norma\
lized toroidal )Tj
0 -28 TD
-0.266 Tc
(flux )Tj
/N16 12 Tf
21 0 TD
0.452 Tc
(F/F)Tj
/N10 12 Tf
23 0 TD
-0.048 Tc
(\(a\) for the QAS2_40 configuration.)Tj
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/N6 12 Tf
292.5 35 TD
0 Tc
0 Tw
(40)Tj
/N10 12 Tf
-148 674 TD
(c\) Final ion density profiles after 400 toroidal transits versus norma\
lized toroidal )Tj
0 -28 TD
-0.266 Tc
(flux )Tj
/N16 12 Tf
21 0 TD
0.452 Tc
(F/F)Tj
/N10 12 Tf
23 0 TD
-0.048 Tc
(\(a\) for the QAS3_34 configuration.)Tj
-44 -28 TD
0 Tc
(d\) Final ion density profiles after 400 toroidal transits versus norma\
lized toroidal )Tj
0 -28 TD
-0.266 Tc
(flux )Tj
/N16 12 Tf
21 0 TD
0.452 Tc
(F/F)Tj
/N10 12 Tf
23 0 TD
-0.048 Tc
(\(a\) for the QAS4_40 configuration.)Tj
-44 -28 TD
0 Tc
(e\) Final ion density profiles after 400 toroidal transits versus norma\
lized toroidal )Tj
0 -28 TD
-0.266 Tc
(flux )Tj
/N16 12 Tf
21 0 TD
0.452 Tc
(F/F)Tj
/N10 12 Tf
23 0 TD
0 Tc
(\(a\) for the TOKQAS2_20 configuration.)Tj
-44 -28 TD
(f\) Final ion density profiles after 400 toroidal transits versus norma\
lized toroidal )Tj
0 -28 TD
-0.266 Tc
(flux )Tj
/N16 12 Tf
21 0 TD
0.452 Tc
(F/F)Tj
/N10 12 Tf
23 0 TD
0 Tc
(\(a\) for the TOK0 configuration.)Tj
-80 -28 TD
-0.148 Tc
(Figure 5.)Tj
36 -28 TD
-0.015 Tc
( a\) Thermal ion loss fraction time evolution versus number of toroidal\
transits )Tj
0 -28 TD
-0.042 Tc
(for the QAS2_20 configuration.)Tj
T*
0 Tc
(b\) Thermal ion loss fraction time evolution versus number of toroidal t\
ransits for )Tj
T*
-0.05 Tc
(the QAS2_40 configuration.)Tj
T*
-0.015 Tc
(c\) Thermal ion loss fraction time evolution versus number of toroidal t\
ransits for )Tj
T*
-0.05 Tc
(the QAS3_34 configuration.)Tj
T*
0 Tc
(d\) Thermal ion loss fraction time evolution versus number of toroidal t\
ransits for )Tj
T*
-0.05 Tc
(the QAS4_40 configuration.)Tj
T*
-0.015 Tc
(e\) Thermal ion loss fraction time evolution versus number of toroidal t\
ransits for )Tj
T*
0 Tc
(the TOKQAS2_20 configuration.)Tj
T*
(f\) Thermal ion loss fraction time evolution versus number of toroidal t\
ransits for )Tj
T*
(the TOK0 configuration.)Tj
-36 -28 TD
-0.148 Tc
(Figure 6.)Tj
36 -28 TD
-0.032 Tc
(a\) Diffusion coefficient function f\(t\) evolution for the QAS2_20 conf\
iguration.)Tj
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/N6 12 Tf
292.5 35 TD
0 Tc
0 Tw
(41)Tj
/N10 12 Tf
-148 674 TD
-0.028 Tc
(b\) Diffusion coefficient function f\(t\) evolution for the QAS2_40 conf\
iguration.)Tj
0 -28 TD
-0.032 Tc
(c\) Diffusion coefficient function f\(t\) evolution for the QAS3_34 conf\
iguration.)Tj
T*
-0.028 Tc
(d\) Diffusion coefficient function f\(t\) evolution for the QAS4_40 conf\
iguration.)Tj
T*
0 Tc
(e\) Diffusion coefficient function f\(t\) evolution for the TOKQAS2_20 )Tj
T*
-0.118 Tc
(configuration.)Tj
T*
0 Tc
(f\) Diffusion coefficient function f\(t\) evolution for the TOK0 configu\
ration.)Tj
-36 -28 TD
-0.148 Tc
(Figure 7.)Tj
45 0 TD
0 Tc
( )Tj
-9 -28 TD
-0.07 Tc
(Diffusion coefficients versus edge poloidal flux for QAS and equivalent \
tokamak )Tj
0 -28 TD
-0.088 Tc
(configurations.)Tj
-36 -28 TD
-0.133 Tc
( Figure 8.)Tj
36 -28 TD
-0.032 Tc
( Initial beam ion deposition profiles with low and high edge deposition.\
)Tj
-36 -28 TD
-0.148 Tc
(Figure 9.)Tj
45 0 TD
( )Tj
-9 -28 TD
-0.09 Tc
(Parallel, co-injected neutral beam ion loss fractions versus edge poloid\
al flux )Tj
0 -28 TD
-0.064 Tc
(for QAS and equivalent tokamak configurations.)Tj
-36 -28 TD
-0.133 Tc
(Figure 10.)Tj
36 -28 TD
-0.044 Tc
(Time evolution of the fraction of collisionless particle loss for parall\
el co-injected )Tj
0 -28 TD
-0.048 Tc
(beam ions from QAS3_53\(1T\) over one energy slowing down time.)Tj
-36 -28 TD
-0.148 Tc
(Figure 11)Tj
36 -28 TD
0 Tc
(Dependence of neutral beam ion losses for QAS stellarators at 1.4 T, R=1\
45 cm )Tj
0 -28 TD
(on B)Tj
/N10 8 Tf
23 5 TD
(max)Tj
14 -7 TD
(mn)Tj
/N10 12 Tf
10 2 TD
(/B)Tj
/N10 8 Tf
11 -2 TD
(00)Tj
/N10 12 Tf
8 2 TD
-0.025 Tc
(, a relatively simple measure of stellarator symmetry breaking.)Tj
-102 -28 TD
-0.148 Tc
(Figure 12)Tj
36 -28 TD
0 Tc
(Dependence of neutral beam ion losses for QAS stellarators at 1.4 T, R=1\
45 cm )Tj
0 -28 TD
-0.032 Tc
(on W, a measure of stellarator symmetry breaking.)Tj
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/N6 12 Tf
292.5 35 TD
0 Tc
0 Tw
(42)Tj
/N10 12 Tf
-184 674 TD
-0.133 Tc
(Figure 13.)Tj
51 0 TD
( )Tj
-15 -28 TD
-0.015 Tc
(Alpha particle loss fractions for the reactor size scaled QAS2_20 config\
uration )Tj
0 -28 TD
-0.089 Tc
(dependence on magnetic field strength and major radius.)Tj
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2975.7 4995.39 m
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2975.7 6573.61 m
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1395.9 4995.39 1668.08 1578.22 re
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2015.66 6410.42 l
2011.07 6404.75 l
2006.93 6398.63 l
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1998.14 6376.83 l
1996.3 6368.55 l
1994.91 6360.25 l
1994.01 6351.09 l
1993.55 6341.91 l
1993.1 6332.75 l
1993.1 6323.14 l
1993.1 6313.11 l
1993.1 6303.07 l
1993.55 6292.19 l
1994.46 6281.7 l
1995.37 6270.78 l
1996.3 6259.45 l
1997.24 6248.11 l
1998.6 6237.19 l
1999.99 6225.85 l
2001.38 6214.49 l
2002.28 6203.15 l
2003.67 6191.78 l
2005.06 6180.47 l
2006 6169.11 l
2007.39 6157.34 l
2008.29 6145.12 l
2009.65 6132.91 l
2010.59 6120.69 l
2011.98 6108.47 l
2013.37 6096.25 l
2014.76 6083.61 l
2015.66 6071.37 l
2017.05 6058.72 l
2017.96 6046.51 l
2019.35 6033.84 l
2019.83 6020.77 l
2020.74 6008.1 l
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2020.28 5552.54 l
2019.35 5539.47 l
2018.44 5526.8 l
2017.51 5514.16 l
2016.12 5501.94 l
2015.21 5489.27 l
2013.82 5477.05 l
2012.46 5464.41 l
2011.07 5452.19 l
2010.14 5439.86 l
2008.75 5427.67 l
2007.84 5415.49 l
2006.45 5403.86 l
2005.51 5391.96 l
2004.13 5380.62 l
2002.77 5369.28 l
2001.83 5357.94 l
2000.47 5346.6 l
1999.08 5335.83 l
1997.69 5324.21 l
1996.76 5313.15 l
1995.37 5302.1 l
1994.46 5291.04 l
1994.01 5280.27 l
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1993.55 5229.53 l
1994.01 5220.46 l
1994.91 5211.67 l
1995.82 5202.89 l
1997.69 5194.67 l
1999.53 5187.01 l
2002.28 5179.36 l
2005.51 5172.56 l
2009.2 5166.04 l
2013.82 5160.37 l
2018.89 5155.55 l
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2550.48 5875.01 l
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2532.05 5977.14 l
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2568.9 5846.21 m
2562.67 5906.87 l
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2538.57 6019.44 l
2522.41 6069.18 l
2504.55 6114.57 l
2484.71 6154.71 l
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2250 6419.15 l
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2110.82 6486.78 l
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2027.65 6500.76 l
2017.96 6499.85 l
2009.2 6498.58 l
2000.47 6496.82 l
1992.62 6494.64 l
1985.25 6492.03 l
1977.85 6488.97 l
1971.41 6485.06 l
1965.4 6480.24 l
1959.88 6474.99 l
1954.8 6468.9 l
1950.66 6462.35 l
1946.95 6454.95 l
1943.72 6447.07 l
1941.42 6438.79 l
1939.58 6430.06 l
1938.19 6420.88 l
1936.8 6411.72 l
1936.35 6402.11 l
1935.9 6392.53 l
1935.44 6382.5 l
1935.44 6372.04 l
1935.9 6361.1 l
1936.35 6350.21 l
1936.8 6338.84 l
1937.74 6327.08 l
1939.13 6315.29 l
1940.49 6303.5 l
1942.36 6291.73 l
1943.72 6279.97 l
1945.59 6268.18 l
1947.4 6255.96 l
1949.28 6244.17 l
1950.66 6231.95 l
1952.51 6219.31 l
1954.35 6206.64 l
1956.16 6193.99 l
1958.03 6180.9 l
1959.88 6167.38 l
1961.72 6153.85 l
1964.04 6140.31 l
1966.34 6126.81 l
1968.15 6113.26 l
1970.48 6099.74 l
1972.32 6085.77 l
1974.16 6071.82 l
1975.52 6057.87 l
1977.4 6043.02 l
1978.78 6028.62 l
1980.63 6013.34 l
1982.02 5998.06 l
1983.4 5982.81 l
1984.77 5967.08 l
1986.61 5950.95 l
1988 5935.22 l
1988.9 5919.54 l
1990.29 5903.39 l
1991.23 5887.23 l
1991.71 5871.1 l
1992.16 5854.52 l
1992.62 5837.93 l
1993.1 5821.35 l
1993.1 5804.34 l
1993.1 5787.31 l
1993.1 5770.3 l
1993.1 5753.29 l
1992.62 5736.68 l
1992.62 5719.67 l
1992.16 5703.54 l
1991.23 5686.96 l
1990.77 5670.8 l
1989.39 5655.1 l
1988.45 5638.94 l
1987.09 5623.24 l
1985.25 5607.08 l
1983.86 5591.4 l
1982.47 5576.1 l
1981.08 5560.39 l
1979.24 5545.6 l
1977.85 5530.74 l
1976.46 5515.89 l
1974.62 5501.94 l
1972.8 5487.54 l
1970.93 5474.02 l
1969.09 5460.02 l
1966.79 5446.38 l
1964.95 5433.06 l
1962.63 5419.45 l
1960.78 5405.85 l
1958.49 5392.52 l
1956.65 5379.2 l
1954.8 5366.16 l
1953.41 5353.69 l
1951.57 5341.5 l
1949.73 5329.03 l
1947.86 5316.84 l
1946.04 5304.65 l
1944.68 5293.03 l
1942.81 5281.12 l
1940.97 5269.5 l
1939.58 5257.03 l
1938.19 5245.69 l
1937.28 5234.07 l
1936.35 5222.73 l
1935.9 5211.39 l
1935.44 5200.34 l
1935.44 5189.85 l
1935.9 5179.93 l
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1936.8 5160.37 l
1937.74 5151.01 l
1939.13 5141.94 l
1940.49 5132.87 l
1942.81 5124.37 l
1945.59 5116.71 l
1949.28 5108.78 l
1953.41 5101.69 l
1958.03 5095.74 l
1963.56 5090.07 l
1969.09 5085.25 l
1975.52 5081.28 l
1982.47 5077.88 l
1989.84 5074.76 l
1997.69 5072.49 l
2006 5070.79 l
2014.76 5069.09 l
2024.42 5068.24 l
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2584.78 5849.27 m
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2042.88 6563.15 l
2029.95 6566.64 l
2017.05 6569.24 l
2005.06 6571.43 l
1993.55 6572.76 l
1983.4 6573.61 l
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1972.32 6573.61 m
1962.63 6572.76 l
1953.87 6571.43 l
1945.59 6569.7 l
1937.74 6567.52 l
1930.37 6564.91 l
1923.45 6561.85 l
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1911.01 6554.42 l
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1900.38 6248.96 l
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1923 6141.64 l
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1932.21 6091.89 l
1934.96 6074.43 l
1937.74 6056.97 l
1940.97 6039.08 l
1943.72 6020.77 l
1946.04 6002.43 l
1948.79 5983.66 l
1951.57 5964.9 l
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1955.71 5926.94 l
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1960.78 5848.39 l
1961.24 5828.32 l
1961.72 5808.25 l
1961.72 5787.73 l
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1961.72 5747.59 l
1961.24 5727.1 l
1960.33 5707.45 l
1959.42 5687.81 l
1958.03 5668.17 l
1956.16 5648.55 l
1954.35 5629.36 l
1952.05 5610.57 l
1949.73 5591.4 l
1946.95 5572.61 l
1944.68 5554.3 l
1941.88 5535.96 l
1939.13 5518.07 l
1935.9 5500.18 l
1933.12 5482.75 l
1930.37 5465.72 l
1927.11 5449.13 l
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1920.67 5416.9 l
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1914.21 5385.44 l
1911.01 5370.13 l
1907.75 5354.82 l
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1914.66 5011.83 l
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1928.04 5005.03 l
1934.96 5001.91 l
1942.81 4999.64 l
1950.66 4997.94 l
1959.42 4996.24 l
1969.09 4995.39 l
1978.78 4995.39 l
1989.84 4995.67 l
2000.92 4996.52 l
2012.91 4998.51 l
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q
10 0 0 10 0 0 cm
BT
/N179 11.33 Tf
1 0 0 0.8826 247.585 641.841 Tm
(QAS2_20)Tj
/N179 11.19 Tf
1 0 0 0.8937 448.15 640.741 Tm
(QAS2_40)Tj
ET
Q
3414.05 4979.23 1663.37 1612.58 re
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3477.27 4979.23 m
3477.27 4995.96 l
S
3477.27 6591.81 m
3477.27 6575.34 l
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3571.09 4979.23 m
3571.09 4995.96 l
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3571.09 6591.81 m
3571.09 6575.34 l
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3664.92 4979.23 m
3664.92 4995.96 l
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3664.92 6591.81 m
3664.92 6575.34 l
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3758.75 4979.23 m
3758.75 4995.96 l
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3758.75 6591.81 m
3758.75 6575.34 l
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3852.57 4979.23 m
3852.57 4995.96 l
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3852.57 6591.81 m
3852.57 6575.34 l
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3945.83 4979.23 m
3945.83 4995.96 l
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3945.83 6591.81 m
3945.83 6575.34 l
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4039.66 4979.23 m
4039.66 4995.96 l
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4039.66 6591.81 m
4039.66 6575.34 l
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4133.49 4979.23 m
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4133.49 6591.81 m
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4227.31 4979.23 m
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4227.31 6591.81 m
4227.31 6575.34 l
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4320.86 4979.23 m
4320.86 4995.96 l
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4320.86 6591.81 m
4320.86 6575.34 l
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4414.68 4979.23 m
4414.68 4995.96 l
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4414.68 6591.81 m
4414.68 6575.34 l
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4508.51 4979.23 m
4508.51 4995.96 l
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4508.51 6591.81 m
4508.51 6575.34 l
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4602.34 4979.23 m
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4602.34 6591.81 m
4602.34 6575.34 l
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4696.16 4979.23 m
4696.16 4995.96 l
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4696.16 6591.81 m
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4789.42 4979.23 m
4789.42 4995.96 l
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4789.42 6591.81 m
4789.42 6575.34 l
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4883.25 4979.23 m
4883.25 4995.96 l
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4883.25 6591.81 m
4883.25 6575.34 l
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4977.08 4979.23 m
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4977.08 6591.81 m
4977.08 6575.34 l
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5070.91 4979.23 m
5070.91 4995.96 l
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5070.91 6591.81 m
5070.91 6575.34 l
S
3414.05 4979.23 1663.37 1612.58 re
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3414.05 5058.32 m
3431.34 5058.32 l
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5077.43 5058.32 m
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3414.05 5149.31 m
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5077.43 5149.31 m
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3414.05 5240.02 m
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3414.05 5331.01 m
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3414.05 5422.01 m
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3414.05 5512.94 m
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5077.43 5512.94 m
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3414.05 5603.9 m
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5077.43 5603.9 m
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3414.05 5694.84 m
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5077.43 5694.84 m
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3414.05 5785.78 m
3431.34 5785.78 l
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3414.05 5876.29 m
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5077.43 5876.29 m
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3414.05 5967.25 m
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3414.05 6058.19 m
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3414.05 6240.08 m
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3414.05 6421.96 m
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3414.05 6512.89 m
3431.34 6512.89 l
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4572.86 5888.79 m
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4503.12 6175.46 l
4466.84 6254.8 l
4427.72 6322.09 l
4387.19 6378.27 l
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S
4560.67 5836.18 m
4556.7 5886.55 l
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4577.11 5837.05 m
4572.86 5888.79 l
4566.9 5939.58 l
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4041.93 6588.27 l
4030.87 6590.02 l
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3998.27 6591.81 m
3990.34 6591.35 l
3981.27 6590.48 l
3972.76 6589.14 l
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q
10 0 0 10 0 0 cm
BT
/N179 11.272 Tf
1 0 0 0.8872 248.38 452.232 Tm
(QAS3_34)Tj
ET
Q
1377.47 3106.21 1730.72 1614.33 re
S
1438.24 3106.21 m
1438.24 3122.65 l
S
1438.24 4720.54 m
1438.24 4703.82 l
S
1588.03 3106.21 m
1588.03 3122.65 l
S
1588.03 4720.54 m
1588.03 4703.82 l
S
1737.78 3106.21 m
1737.78 3122.65 l
S
1737.78 4720.54 m
1737.78 4703.82 l
S
1887.54 3106.21 m
1887.54 3122.65 l
S
1887.54 4720.54 m
1887.54 4703.82 l
S
2037.32 3106.21 m
2037.32 3122.65 l
S
2037.32 4720.54 m
2037.32 4703.82 l
S
2187.07 3106.21 m
2187.07 3122.65 l
S
2187.07 4720.54 m
2187.07 4703.82 l
S
2336.74 3106.21 m
2336.74 3122.65 l
S
2336.74 4720.54 m
2336.74 4703.82 l
S
2486.7 3106.21 m
2486.7 3122.65 l
S
2486.7 4720.54 m
2486.7 4703.82 l
S
2636.37 3106.21 m
2636.37 3122.65 l
S
2636.37 4720.54 m
2636.37 4703.82 l
S
2786.32 3106.21 m
2786.32 3122.65 l
S
2786.04 4720.54 m
2786.04 4703.82 l
S
2936.02 3106.21 m
2936.02 3122.65 l
S
2936.02 4720.54 m
2936.02 4703.82 l
S
3085.8 3106.21 m
3085.8 3122.65 l
S
3085.8 4720.54 m
3085.8 4703.82 l
S
1377.47 3106.21 1730.72 1614.33 re
S
1377.47 3215.06 m
1395.21 3215.06 l
S
3108.19 3215.06 m
3090.62 3215.06 l
S
1377.47 3354.81 m
1395.21 3354.81 l
S
3108.19 3354.81 m
3090.62 3354.81 l
S
1377.47 3493.99 m
1395.21 3493.99 l
S
3108.19 3493.99 m
3090.62 3493.99 l
S
1377.47 3633.74 m
1395.21 3633.74 l
S
3108.19 3633.74 m
3090.62 3633.74 l
S
1377.47 3773.49 m
1395.21 3773.49 l
S
3108.19 3773.49 m
3090.62 3773.49 l
S
1377.47 3913.23 m
1395.21 3913.23 l
S
3108.19 3913.23 m
3090.62 3913.23 l
S
1377.47 4052.7 m
1395.21 4052.7 l
S
3108.19 4052.7 m
3090.62 4052.7 l
S
1377.47 4192.45 m
1395.21 4192.45 l
S
3108.19 4192.45 m
3090.62 4192.45 l
S
1377.47 4332.2 m
1395.21 4332.2 l
S
3108.19 4332.2 m
3090.62 4332.2 l
S
1377.47 4471.94 m
1395.21 4471.94 l
S
3108.19 4471.94 m
3090.62 4471.94 l
S
1377.47 4611.69 m
1395.21 4611.69 l
S
3108.19 4611.69 m
3090.62 4611.69 l
S
2698.45 3989.49 m
2685.69 4063.19 l
2665.56 4132.35 l
2639.2 4195.57 l
2609.15 4252.83 l
2575.14 4304.42 l
2538.29 4350.9 l
2500.02 4393.42 l
2459.77 4431.12 l
2418.67 4465.71 l
2376.15 4496.89 l
2333.63 4525.52 l
2290.54 4551.31 l
2246.89 4575.41 l
2203.23 4597.24 l
2159.86 4617.36 l
2116.77 4635.22 l
2075.13 4652.23 l
2033.97 4666.97 l
1994.71 4680.86 l
1957.89 4692.48 l
1922.97 4702.68 l
1891.39 4710.62 l
1862.68 4716.86 l
1838.75 4719.98 l
1818.68 4720.54 l
1803.35 4717.42 l
1792.32 4710.62 l
1785.63 4700.42 l
1782.77 4686.53 l
1783.73 4669.24 l
1788.01 4649.11 l
1794.73 4625.87 l
1803.35 4600.35 l
1814.35 4572.29 l
1826.76 4541.39 l
1840.68 4508.51 l
1855.96 4473.64 l
1872.74 4436.23 l
1889.95 4396.54 l
1907.66 4354.59 l
1925.83 4309.8 l
1944 4262.46 l
1961.72 4212.01 l
1978.47 4159 l
1992.82 4102.31 l
2004.78 4043.06 l
2012.46 3981.83 l
2015.32 3918.9 l
2013.4 3855.97 l
2006.22 3793.9 l
1995.23 3734.65 l
1980.85 3677.39 l
1964.58 3623.53 l
1946.87 3572.51 l
1928.7 3524.89 l
1910.53 3479.82 l
1892.81 3437.01 l
1875.6 3397.33 l
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2020.11 4556.7 l
2012.46 4555.28 l
2005.26 4553.58 l
1999.05 4551.31 l
1993.78 4548.2 l
1988.51 4544.51 l
1984.23 4540.54 l
1980.85 4536.29 l
1977.51 4531.19 l
1975.1 4525.8 l
1973.2 4520.13 l
1971.78 4513.9 l
1970.31 4506.81 l
1969.85 4500.01 l
1969.4 4492.35 l
1969.4 4484.42 l
1969.85 4475.91 l
1970.82 4467.41 l
1971.78 4458.62 l
1973.2 4448.98 l
1974.65 4439.35 l
1976.54 4429.42 l
1978.95 4419.22 l
1981.36 4408.45 l
1983.72 4397.68 l
1986.64 4386.62 l
1989.47 4375 l
1992.33 4363.38 l
1995.71 4350.9 l
1999.05 4339 l
2002.4 4326.53 l
2005.74 4313.49 l
2009.57 4300.16 l
2013.4 4286.56 l
2016.74 4273.23 l
2020.57 4259.34 l
2024.39 4245.17 l
2028.22 4230.43 l
2032.08 4215.69 l
2035.42 4200.95 l
2039.25 4185.93 l
2042.56 4170.05 l
2046.42 4154.46 l
2049.76 4138.87 l
2052.63 4122.43 l
2056 4106.27 l
2058.86 4089.83 l
2061.7 4072.83 l
2064.11 4055.82 l
2066.03 4039.09 l
2068.42 4022.08 l
2069.86 4004.51 l
2071.31 3987.22 l
2072.72 3969.36 l
2073.21 3952.07 l
2073.69 3934.21 l
2074.17 3916.35 l
2074.17 3898.78 l
2073.69 3880.92 l
2072.72 3863.06 l
2071.79 3845.77 l
2070.31 3828.19 l
2068.9 3810.9 l
2067 3793.61 l
2064.62 3776.6 l
2062.21 3759.6 l
2059.8 3742.59 l
2056.94 3726.15 l
2054.07 3709.71 l
2050.73 3693.55 l
2047.38 3677.39 l
2044.01 3661.8 l
2040.69 3646.21 l
2036.84 3631.19 l
2033.01 3615.88 l
2029.67 3601.14 l
2025.87 3586.4 l
2022.01 3572.23 l
2018.19 3558.34 l
2014.36 3544.45 l
2011.01 3531.12 l
2007.19 3517.8 l
2003.33 3504.76 l
1999.99 3492.29 l
1996.64 3479.82 l
1993.78 3467.63 l
1990.41 3455.72 l
1987.54 3444.1 l
1984.71 3433.04 l
1982.3 3421.71 l
1979.89 3410.93 l
1977.51 3400.73 l
1975.58 3390.52 l
1973.71 3381.17 l
1972.24 3371.25 l
1970.82 3362.46 l
1970.31 3353.39 l
1969.4 3344.89 l
1969.4 3336.95 l
1969.4 3329.3 l
1970.31 3322.21 l
1971.3 3315.12 l
1972.72 3308.89 l
1974.16 3302.65 l
1976.54 3297.26 l
1979.41 3291.88 l
1983.23 3287.34 l
1987.09 3283.38 l
1991.88 3279.41 l
1997.12 3276.29 l
2002.88 3274.02 l
2009.57 3271.75 l
2017.22 3270.62 l
2025.39 3269.49 l
2033.97 3269.2 l
2043.56 3269.49 l
2053.59 3270.05 l
2064.62 3271.47 l
2076.07 3273.17 l
2088.51 3275.72 l
2101.47 3278.84 l
2115.36 3282.52 l
2129.53 3287.06 l
2145.12 3291.88 l
2160.15 3297.26 l
2176.59 3304.07 l
2193.88 3310.59 l
2211.17 3318.24 l
2228.74 3326.75 l
2247.45 3335.53 l
2266.16 3345.45 l
2285.15 3356.23 l
2304.71 3367.85 l
2324.55 3379.75 l
2344.4 3393.08 l
2365.09 3407.53 l
2385.22 3422.27 l
2405.34 3438.71 l
2425.75 3455.72 l
2445.88 3473.86 l
2465.72 3493.14 l
2485.28 3513.27 l
2504.27 3535.09 l
2522.98 3557.77 l
2541.12 3581.86 l
2558.41 3607.38 l
2574.57 3634.59 l
2590.44 3663.22 l
2604.33 3693.27 l
2617.37 3724.73 l
2628.15 3757.9 l
2637.22 3792.19 l
2644.59 3827.34 l
2649.41 3863.91 l
2651.11 3900.76 l
2650.82 3937.33 l
2647.99 3973.9 l
2642.6 4009.61 l
2634.95 4044.76 l
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2675.2 3951.5 m
2671.8 3988.92 l
2665.56 4026.05 l
2657.34 4061.77 l
2647.42 4096.64 l
2635.8 4129.52 l
2622.48 4161.27 l
2607.74 4191.03 l
2591.86 4219.66 l
2575.14 4246.59 l
2557.85 4272.38 l
2539.7 4296.48 l
2521 4319.16 l
2501.44 4341.27 l
2481.88 4362.24 l
2461.75 4381.8 l
2441.06 4400.51 l
2420.65 4417.8 l
2399.39 4434.81 l
2378.41 4450.97 l
2357.44 4465.71 l
2336.46 4479.88 l
2314.92 4493.77 l
2293.66 4506.81 l
2272.68 4518.72 l
2251.7 4530.34 l
2231.01 4541.11 l
2210.6 4551.31 l
2189.91 4561.24 l
2169.78 4570.02 l
2150.22 4578.53 l
2131.23 4586.18 l
2112.52 4593.83 l
2094.38 4600.35 l
2076.55 4606.31 l
2059.32 4611.98 l
2043.07 4616.79 l
2027.28 4621.33 l
2012.46 4625.3 l
1998.09 4628.42 l
1984.71 4631.53 l
1971.78 4633.8 l
1959.79 4635.22 l
1948.79 4636.64 l
1938.76 4636.92 l
1929.18 4636.64 l
1921.04 4635.79 l
1913.39 4633.8 l
1906.7 4631.53 l
1900.94 4628.98 l
1895.7 4625.3 l
1891.39 4621.05 l
1888.05 4615.94 l
1885.16 4610.56 l
1883.26 4604.89 l
1881.81 4598.09 l
1880.85 4590.72 l
1880.85 4583.06 l
1880.85 4574.56 l
1881.81 4565.49 l
1883.26 4556.13 l
1885.16 4546.5 l
1887.54 4536.29 l
1889.95 4525.52 l
1893.32 4513.9 l
1896.15 4502.27 l
1900.01 4490.09 l
1903.84 4477.61 l
1908.12 4464.86 l
1912.45 4451.25 l
1917.24 4437.64 l
1922.01 4423.19 l
1927.28 4409.01 l
1932.55 4393.71 l
1938.28 4378.68 l
1944 4362.53 l
1949.28 4346.37 l
1955.48 4329.93 l
1961.24 4312.92 l
1966.99 4295.63 l
1973.2 4277.77 l
1978.95 4259.34 l
1985.16 4241.2 l
1990.92 4221.93 l
1996.64 4202.37 l
2001.94 4182.81 l
2007.64 4162.12 l
2012.46 4141.71 l
2017.7 4120.16 l
2022.01 4098.9 l
2026.32 4076.79 l
2030.18 4054.97 l
2033.49 4032.86 l
2036.38 4009.9 l
2038.28 3986.65 l
2040.18 3963.97 l
2041.15 3940.73 l
2041.63 3917.49 l
2041.15 3893.96 l
2040.18 3870.71 l
2038.77 3847.47 l
2036.84 3824.79 l
2034.46 3802.12 l
2031.11 3779.16 l
2027.77 3757.33 l
2023.46 3735.5 l
2019.15 3713.68 l
2014.36 3692.7 l
2009.09 3671.72 l
2003.81 3651.31 l
1998.57 3631.19 l
1992.82 3611.34 l
1987.09 3592.35 l
1981.36 3573.64 l
1975.1 3555.22 l
1969.4 3537.36 l
1963.17 3519.5 l
1957.41 3502.49 l
1951.68 3486.05 l
1945.93 3469.61 l
1940.2 3453.45 l
1934.45 3438.15 l
1929.18 3423.12 l
1923.93 3408.38 l
1919.14 3394.21 l
1914.35 3379.75 l
1909.56 3366.43 l
1905.25 3353.39 l
1901.43 3340.64 l
1897.63 3328.45 l
1894.25 3316.82 l
1890.91 3305.2 l
1888.53 3294.15 l
1885.64 3283.94 l
1883.74 3273.74 l
1882.29 3264.1 l
1881.33 3255.31 l
1880.85 3246.52 l
1880.85 3238.3 l
1881.33 3231.22 l
1882.77 3224.13 l
1884.7 3217.89 l
1887.08 3212.51 l
1890.43 3207.12 l
1894.25 3202.59 l
1899.05 3199.19 l
1904.32 3196.07 l
1911.01 3193.23 l
1918.18 3191.53 l
1926.31 3190.68 l
1935.39 3189.83 l
1945.48 3190.12 l
1955.97 3190.68 l
1967.47 3192.38 l
1979.89 3194.08 l
1993.33 3196.92 l
2007.19 3200.04 l
2022.01 3204 l
2037.8 3207.97 l
2053.59 3212.79 l
2070.31 3218.18 l
2088.03 3224.13 l
2106.29 3230.65 l
2124.43 3238.02 l
2143.42 3245.39 l
2163.26 3253.61 l
2183.39 3262.4 l
2203.23 3271.75 l
2223.92 3282.24 l
2244.62 3292.73 l
2265.59 3304.07 l
2286.57 3315.97 l
2307.55 3328.45 l
2328.81 3341.77 l
2350.35 3355.66 l
2371.33 3370.4 l
2392.3 3385.99 l
2413.28 3402.71 l
2433.97 3420.01 l
2454.67 3438.15 l
2475.07 3457.99 l
2494.92 3478.12 l
2514.48 3499.38 l
2532.9 3522.05 l
2551.61 3545.86 l
2569.47 3570.81 l
2586.19 3597.74 l
2602.35 3625.23 l
2617.37 3654.71 l
2631.26 3685.9 l
2643.45 3718.49 l
2654.51 3752.51 l
2663.3 3788.23 l
2669.81 3824.79 l
2674.07 3862.21 l
2676.62 3900.19 l
2676.05 3938.18 l
2673.22 3976.16 l
2668.11 4013.01 l
2660.74 4049.3 l
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2701.85 3951.5 m
2698.45 3989.49 l
2693.34 4026.9 l
2685.69 4063.19 l
2676.62 4098.34 l
2665.56 4132.35 l
2653.09 4164.95 l
2639.2 4195.57 l
2625.03 4225.05 l
2609.15 4252.83 l
2592.43 4279.47 l
2575.14 4304.42 l
2557 4328.23 l
2538.29 4350.9 l
2519.3 4372.73 l
2500.02 4393.42 l
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2459.77 4431.12 l
2439.36 4448.98 l
2418.67 4465.71 l
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2376.15 4496.89 l
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2290.54 4551.31 l
2268.43 4563.79 l
2246.89 4575.41 l
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2203.23 4597.24 l
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2159.86 4617.36 l
2138.32 4626.15 l
2116.77 4635.22 l
2095.8 4643.72 l
2075.13 4652.23 l
2054.55 4659.88 l
2033.97 4666.97 l
2014.36 4674.05 l
1994.71 4680.86 l
1976.09 4686.53 l
1957.89 4692.48 l
1940.2 4697.58 l
1922.97 4702.68 l
1906.7 4706.94 l
1891.39 4710.62 l
1876.54 4714.31 l
1862.68 4716.86 l
1850.23 4718.56 l
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1803.35 4717.42 l
1797.11 4714.31 l
1792.32 4710.62 l
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1785.63 4700.42 l
1783.73 4693.61 l
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1783.73 4669.24 l
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1788.01 4649.11 l
1790.9 4637.77 l
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1808.62 4586.46 l
1814.35 4572.29 l
1820.55 4557.27 l
1826.76 4541.39 l
1833.48 4525.52 l
1840.68 4508.51 l
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1855.96 4473.64 l
1864.12 4455.22 l
1872.74 4436.23 l
1880.85 4416.67 l
1889.95 4396.54 l
1898.56 4375.85 l
1907.66 4354.59 l
1916.76 4332.76 l
1925.83 4309.8 l
1934.93 4286.56 l
1944 4262.46 l
1952.62 4237.52 l
1961.72 4212.01 l
1970.31 4185.93 l
1978.47 4159 l
1986.13 4130.94 l
1992.82 4102.31 l
1999.53 4072.83 l
2004.78 4043.06 l
2009.09 4012.73 l
2012.46 3981.83 l
2014.36 3950.08 l
2015.32 3918.9 l
2014.84 3887.16 l
2013.4 3855.97 l
2010.56 3824.79 l
2006.22 3793.9 l
2001.46 3764.13 l
1995.23 3734.65 l
1988.51 3705.74 l
1980.85 3677.39 l
1973.2 3650.18 l
1964.58 3623.53 l
1955.97 3597.74 l
1946.87 3572.51 l
1937.79 3548.42 l
1928.7 3524.89 l
1919.62 3501.64 l
1910.53 3479.82 l
1901.94 3457.99 l
1892.81 3437.01 l
1884.19 3416.89 l
1875.6 3397.33 l
1866.96 3378.05 l
1858.85 3359.34 l
1851.2 3341.49 l
1843.54 3323.91 l
1836.34 3307.19 l
1829.17 3290.46 l
1822.45 3274.87 l
1816.27 3259.85 l
1810.52 3245.11 l
1805.25 3231.22 l
1800.46 3217.89 l
1796.18 3204.85 l
1792.32 3192.95 l
1789 3181.33 l
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1800.94 3110.18 l
1807.63 3107.91 l
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1834.93 3106.21 l
1845.92 3107.63 l
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1871.78 3111.6 l
1886.12 3114.71 l
1900.94 3118.4 l
1917.24 3122.37 l
1933.97 3127.19 l
1951.17 3132 l
1969.4 3137.96 l
1988.02 3143.63 l
2007.64 3150.43 l
2027.28 3157.23 l
2047.38 3164.32 l
2067.93 3171.97 l
2088.51 3179.91 l
2109.69 3188.41 l
2130.66 3196.92 l
2152.21 3206.27 l
2174.03 3215.63 l
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2217.12 3236.6 l
2239.23 3247.37 l
2260.77 3259 l
2282.89 3270.9 l
2304.43 3283.38 l
2325.97 3296.41 l
2347.52 3310.3 l
2368.78 3324.48 l
2390.03 3339.78 l
2411.01 3355.38 l
2431.99 3371.82 l
2452.68 3389.11 l
2472.81 3407.53 l
2492.93 3426.81 l
2512.49 3446.65 l
2531.48 3467.63 l
2550.76 3490.02 l
2568.9 3513.83 l
2586.19 3538.21 l
2603.48 3564.01 l
2619.07 3591.79 l
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2672.65 3716.23 l
2682.85 3751.09 l
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2701 3861.93 l
2702.98 3899.63 l
2702.41 3938.18 l
2700.15 3976.45 l
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2688.52 4050.72 l
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q
10 0 0 10 0 0 cm
BT
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1 0 0 0.9479 445.287 456.047 Tm
(QAS4_40)Tj
ET
Q
Q
q
4452 4560 m
4452 4561 l
4453 4561 l
4453 4560 l
h
W n
Q
q
q
10 0 0 10 0 0 cm
BT
/N180 1 Tf
0.1 0 0 -0.1 445 463.4 Tm
(\000)Tj
ET
Q
Q
q
180 180 m
180 7740 l
5940 7740 l
5940 180 l
h
W n
1 i
1.9843 w
1 j
3422.27 3116.98 1646.36 1594.49 re
S
3500.51 3116.98 m
3500.51 3133.42 l
S
3500.51 4711.47 m
3500.51 4695.31 l
S
3609.64 3116.98 m
3609.64 3133.42 l
S
3609.64 4711.47 m
3609.64 4695.31 l
S
3718.49 3116.98 m
3718.49 3133.42 l
S
3718.49 4711.47 m
3718.49 4695.31 l
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3827.91 3116.98 m
3827.91 3133.42 l
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3827.91 4711.47 m
3827.91 4695.31 l
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3937.05 3116.98 m
3937.05 3133.42 l
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3937.05 4711.47 m
3937.05 4695.31 l
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4046.18 3116.98 m
4046.18 3133.42 l
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4046.18 4711.47 m
4046.18 4695.31 l
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4155.6 3116.98 m
4155.6 3133.42 l
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4155.6 4711.47 m
4155.6 4695.31 l
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4264.73 3116.98 m
4264.73 3133.42 l
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4264.73 4711.47 m
4264.73 4695.31 l
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4373.86 3116.98 m
4373.86 3133.42 l
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4373.86 4711.47 m
4373.86 4695.31 l
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4482.72 3116.98 m
4482.72 3133.42 l
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4482.72 4711.47 m
4482.72 4695.31 l
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4591.85 3116.98 m
4591.85 3133.42 l
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4591.85 4711.47 m
4591.85 4695.31 l
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4701.27 3116.98 m
4701.27 3133.42 l
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4701.27 4711.47 m
4701.27 4695.31 l
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4810.4 3116.98 m
4810.4 3133.42 l
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4810.4 4711.47 m
4810.4 4695.31 l
S
4919.53 3116.98 m
4919.53 3133.42 l
S
4919.53 4711.47 m
4919.53 4695.31 l
S
5028.95 3116.98 m
5028.95 3133.42 l
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5028.95 4711.47 m
5028.95 4695.31 l
S
3422.27 3116.98 1646.36 1594.49 re
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3422.27 3174.24 m
3439 3174.24 l
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5068.64 3174.24 m
5051.63 3174.24 l
S
3422.27 3279.69 m
3439 3279.69 l
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5068.64 3279.69 m
5051.63 3279.69 l
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3422.27 3385.42 m
3439 3385.42 l
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5068.64 3385.42 m
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3422.27 3491.44 m
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5068.64 3491.44 m
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3422.27 3597.17 m
3439 3597.17 l
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5068.64 3597.17 m
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3422.27 3702.9 m
3439 3702.9 l
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5068.64 3702.9 m
5051.63 3702.9 l
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3422.27 3808.64 m
3439 3808.64 l
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5068.64 3808.64 m
5051.63 3808.64 l
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3422.27 3914.65 m
3439 3914.65 l
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5068.64 3914.65 m
5051.63 3914.65 l
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3422.27 4019.82 m
3439 4019.82 l
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5068.64 4019.82 m
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3422.27 4125.83 m
3439 4125.83 l
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4681.71 4017.27 m
4655.63 4116.76 l
4615.94 4209.46 l
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4670.09 3973.05 m
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4688.79 3966.24 m
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q
q
10 0 0 10 0 0 cm
BT
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0.1 0 0 -0.1 238.8 277.1 Tm
(\001)Tj
ET
Q
Q
q
180 180 m
180 7740 l
5940 7740 l
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h
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q
q
10 0 0 10 0 0 cm
BT
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(\002)Tj
ET
Q
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180 180 m
180 7740 l
5940 7740 l
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h
W n
Q
q
q
10 0 0 10 0 0 cm
BT
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0.1 0 0 -0.1 252.2 277.1 Tm
(\003)Tj
ET
Q
Q
q
180 180 m
180 7740 l
5940 7740 l
5940 180 l
h
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Q
q
q
10 0 0 10 0 0 cm
BT
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0.1 0 0 -0.1 258 277.1 Tm
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ET
Q
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180 180 m
180 7740 l
5940 7740 l
5940 180 l
h
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Q
q
q
10 0 0 10 0 0 cm
BT
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0.1 0 0 -0.1 265.1 277.1 Tm
(\005)Tj
ET
Q
Q
q
180 180 m
180 7740 l
5940 7740 l
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h
W n
Q
q
q
10 0 0 10 0 0 cm
BT
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0.1 0 0 -0.1 271.7 277.1 Tm
(\006)Tj
ET
Q
Q
q
180 180 m
180 7740 l
5940 7740 l
5940 180 l
h
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Q
q
q
10 0 0 10 0 0 cm
BT
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0.1 0 0 -0.1 277.7 277.1 Tm
(\007)Tj
ET
Q
Q
q
180 180 m
180 7740 l
5940 7740 l
5940 180 l
h
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Q
q
q
10 0 0 10 0 0 cm
BT
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0.1 0 0 -0.1 282.8 277.1 Tm
(\b)Tj
ET
Q
Q
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180 180 m
180 7740 l
5940 7740 l
5940 180 l
h
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Q
q
q
10 0 0 10 0 0 cm
BT
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0.1 0 0 -0.1 287.9 277.1 Tm
(\007)Tj
ET
Q
Q
q
180 180 m
180 7740 l
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h
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q
q
10 0 0 10 0 0 cm
BT
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0.1 0 0 -0.1 292.9 277.1 Tm
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ET
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180 7740 l
5940 7740 l
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h
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1 i
1.9843 w
1 j
1386.91 1184.03 1741.69 1656 re
S
1439.38 1184.03 m
1439.38 1201.04 l
S
1439.38 2840.04 m
1439.38 2823.03 l
S
1550.61 1184.03 m
1550.61 1201.04 l
S
1550.61 2840.04 m
1550.61 2823.03 l
S
1662.32 1184.03 m
1662.32 1201.04 l
S
1662.32 2840.04 m
1662.32 2823.03 l
S
1773.53 1184.03 m
1773.53 1201.04 l
S
1773.53 2840.04 m
1773.53 2823.03 l
S
1885.24 1184.03 m
1885.24 1201.04 l
S
1885.24 2840.04 m
1885.24 2823.03 l
S
1996.44 1184.03 m
1996.44 1201.04 l
S
1996.44 2840.04 m
1996.44 2823.03 l
S
2108.27 1184.03 m
2108.27 1201.04 l
S
2108.27 2840.04 m
2108.27 2823.03 l
S
2219.96 1184.03 m
2219.96 1201.04 l
S
2219.96 2840.04 m
2219.96 2823.03 l
S
2331.07 1184.03 m
2331.07 1201.04 l
S
2331.07 2840.04 m
2331.07 2823.03 l
S
2442.76 1184.03 m
2442.76 1201.04 l
S
2442.76 2840.04 m
2442.76 2823.03 l
S
2554.16 1184.03 m
2554.16 1201.04 l
S
2554.16 2840.04 m
2554.16 2823.03 l
S
2665.85 1184.03 m
2665.85 1201.04 l
S
2665.85 2840.04 m
2665.85 2823.03 l
S
2776.96 1184.03 m
2776.96 1201.04 l
S
2776.96 2840.04 m
2776.96 2823.03 l
S
2888.68 1184.03 m
2888.68 1201.04 l
S
2888.68 2840.04 m
2888.68 2823.03 l
S
2999.8 1184.03 m
2999.8 1201.04 l
S
2999.8 2840.04 m
2999.8 2823.03 l
S
3111.6 1184.03 m
3111.6 1201.04 l
S
3111.6 2840.04 m
3111.6 2823.03 l
S
1386.91 1184.03 1741.69 1656 re
S
1386.91 1269.92 m
1404.74 1269.92 l
S
3128.6 1269.92 m
3110.74 1269.92 l
S
1386.91 1375.94 m
1404.74 1375.94 l
S
3128.6 1375.94 m
3110.74 1375.94 l
S
1386.91 1481.95 m
1404.74 1481.95 l
S
3128.6 1481.95 m
3110.74 1481.95 l
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1386.91 1587.69 m
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2733.59 2156.6 m
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1964.67 1195.09 l
1984.91 1189.14 l
2008.01 1185.45 l
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2586.76 2230.3 l
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2635.23 2000.41 l
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2627.58 2098.77 l
2621.34 2130.52 l
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2642.6 2169.36 l
2630.13 2206.49 l
2615.67 2241.64 l
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2021.5 2497.04 l
2017.65 2488.54 l
2013.79 2479.75 l
2010.42 2470.68 l
2007.05 2461.33 l
2003.67 2451.69 l
2000.78 2442.33 l
1997.89 2432.7 l
1995.03 2423.06 l
1992.62 2412.85 l
1990.21 2403.22 l
1987.77 2393.3 l
1985.39 2383.09 l
1983.46 2372.6 l
1981.53 2362.68 l
1979.61 2351.91 l
1978.13 2341.99 l
1976.2 2331.5 l
1974.79 2321.01 l
1973.34 2310.24 l
1971.9 2299.47 l
1970.93 2288.7 l
1969.49 2278.21 l
1968.52 2267.44 l
1967.08 2256.66 l
1966.11 2245.89 l
1965.66 2234.84 l
1964.67 2223.78 l
1963.73 2213.29 l
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1962.26 2191.18 l
1961.32 2180.41 l
1960.84 2169.36 l
1960.33 2158.3 l
1959.88 2147.25 l
1959.4 2135.91 l
1958.91 2124.85 l
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1958.4 2103.03 l
1957.92 2091.97 l
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1956.99 2047.47 l
1956.99 2036.13 l
1956.99 2025.07 l
1956.99 2014.02 l
1956.99 2003.25 l
1956.99 1991.63 l
1956.99 1980.57 l
1956.99 1969.8 l
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1957.92 1936.35 l
1957.92 1925.29 l
1958.4 1913.96 l
1958.91 1902.9 l
1959.4 1891.85 l
1959.4 1880.79 l
1960.33 1870.02 l
1960.84 1858.96 l
1961.32 1847.91 l
1961.8 1836.85 l
1962.74 1825.8 l
1963.22 1815.03 l
1964.21 1803.97 l
1965.15 1792.92 l
1966.11 1781.86 l
1967.08 1771.37 l
1968.04 1760.32 l
1969 1749.83 l
1970.48 1739.06 l
1971.41 1728.29 l
1972.86 1717.51 l
1974.28 1706.74 l
1975.75 1696.25 l
1977.68 1685.77 l
1979.12 1675.85 l
1981.05 1665.07 l
1982.98 1654.59 l
1984.91 1644.66 l
1986.83 1634.46 l
1989.24 1624.54 l
1991.62 1614.33 l
1994.03 1604.41 l
1996.95 1594.77 l
1999.34 1585.14 l
2002.71 1575.5 l
2005.57 1566.43 l
2008.97 1556.79 l
2012.83 1547.44 l
2016.2 1538.93 l
2020.06 1529.58 l
2024.39 1521.07 l
2028.7 1512.85 l
2033.04 1504.63 l
2037.89 1496.13 l
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2048.46 1481.1 l
2054.24 1473.73 l
2060 1466.93 l
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2095.23 1437.17 l
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2161.56 1414.77 l
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2253.12 1426.11 l
2268.43 1431.21 l
2284.3 1437.73 l
2301.31 1445.39 l
2318.6 1454.18 l
2336.46 1464.1 l
2355.17 1475.72 l
2373.88 1487.91 l
2393.72 1502.08 l
2413.56 1518.24 l
2433.69 1535.53 l
2454.38 1554.52 l
2475.07 1574.93 l
2495.77 1597.33 l
2516.46 1621.7 l
2536.59 1647.78 l
2556.43 1675.85 l
2575.7 1705.61 l
2593.56 1737.07 l
2610.29 1769.96 l
2625.31 1805.39 l
2638.35 1841.96 l
2649.41 1879.37 l
2657.63 1918.49 l
2662.73 1957.89 l
2665.28 1998.14 l
2664.71 2038.4 l
2661.31 2078.08 l
2655.07 2117.48 l
2646.57 2156.03 l
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2692.78 2059.09 m
2686.82 2105.29 l
2677.75 2150.65 l
2665.28 2194.87 l
2649.97 2237.67 l
2632.11 2278.21 l
2611.7 2317.33 l
2590.16 2353.89 l
2567.48 2388.19 l
2543.96 2420.22 l
2519.86 2449.99 l
2495.77 2478.05 l
2471.11 2503.56 l
2446.73 2526.81 l
2422.63 2548.35 l
2399.11 2568.19 l
2375.86 2586.05 l
2353.18 2602.49 l
2331.07 2616.67 l
2309.81 2629.42 l
2289.69 2640.48 l
2269.85 2650.68 l
2251.14 2658.9 l
2233 2665.71 l
2215.42 2671.66 l
2198.7 2676.19 l
2182.82 2679.88 l
2167.23 2682.71 l
2153.06 2684.41 l
2138.89 2684.98 l
2125.56 2684.98 l
2112.52 2683.85 l
2100.62 2682.15 l
2088.91 2679.31 l
2077.8 2676.76 l
2067.71 2672.51 l
2057.62 2668.26 l
2048.46 2663.44 l
2039.33 2657.77 l
2030.63 2651.81 l
2022.92 2645.58 l
2015.21 2639.06 l
2007.5 2631.69 l
2000.78 2624.04 l
1994.03 2616.1 l
1987.77 2607.88 l
1982.02 2599.66 l
1976.2 2591.15 l
1971.41 2581.8 l
1966.11 2572.16 l
1961.8 2563.09 l
1956.99 2552.89 l
1953.1 2543.53 l
1948.77 2533.33 l
1944.94 2522.84 l
1941.57 2512.35 l
1938.19 2501.86 l
1934.82 2491.09 l
1931.93 2480.32 l
1929.04 2469.26 l
1926.17 2458.21 l
1923.74 2447.15 l
1921.35 2435.81 l
1919.4 2424.48 l
1917.02 2412.85 l
1915.09 2401.52 l
1913.16 2389.89 l
1911.72 2377.99 l
1909.79 2366.65 l
1908.34 2354.74 l
1906.42 2342.84 l
1905.45 2330.93 l
1904.01 2319.03 l
1902.56 2307.12 l
1901.6 2295.22 l
1900.63 2283.31 l
1899.67 2270.84 l
1898.71 2258.93 l
1897.74 2246.74 l
1896.81 2234.84 l
1896.3 2222.37 l
1895.36 2210.46 l
1894.88 2198.27 l
1893.89 2186.37 l
1893.43 2173.89 l
1892.95 2161.42 l
1892.44 2149.23 l
1891.96 2137.33 l
1891.96 2124.85 l
1891.51 2112.66 l
1891.02 2100.19 l
1891.02 2087.72 l
1890.51 2075.81 l
1890.51 2063.63 l
1890.51 2051.15 l
1890.06 2038.96 l
1890.06 2026.49 l
1890.06 2014.02 l
1890.06 2001.83 l
1890.06 1989.92 l
1890.06 1977.45 l
1890.51 1964.98 l
1890.51 1952.79 l
1891.02 1940.32 l
1891.02 1928.13 l
1891.51 1915.66 l
1891.51 1903.75 l
1891.96 1891.28 l
1892.44 1879.09 l
1892.95 1866.62 l
1893.43 1854.14 l
1893.89 1842.52 l
1894.37 1830.05 l
1895.36 1818.14 l
1895.81 1805.67 l
1896.81 1793.48 l
1897.74 1781.58 l
1898.22 1769.1 l
1899.19 1757.2 l
1900.18 1745.29 l
1901.14 1732.82 l
1902.08 1721.2 l
1903.52 1709.01 l
1905 1697.39 l
1905.93 1685.48 l
1907.38 1673.29 l
1909.31 1661.96 l
1910.75 1650.05 l
1912.68 1638.14 l
1914.64 1626.81 l
1916.54 1615.18 l
1918.43 1603.84 l
1920.87 1592.51 l
1922.8 1580.88 l
1925.18 1569.83 l
1928.1 1558.49 l
1930.96 1547.44 l
1933.85 1536.66 l
1936.75 1525.89 l
1940.12 1515.4 l
1943.97 1504.92 l
1947.35 1494.43 l
1951.68 1484.22 l
1955.54 1474.3 l
1959.88 1464.66 l
1964.67 1455.03 l
1969.49 1445.39 l
1974.79 1436.32 l
1980.09 1427.53 l
1985.84 1418.74 l
1991.62 1410.52 l
1998.37 1402.87 l
2005.12 1394.93 l
2012.35 1387.84 l
2020.06 1380.76 l
2028.25 1374.52 l
2036.41 1368 l
2045.09 1362.62 l
2054.24 1357.51 l
2063.88 1352.98 l
2073.97 1348.73 l
2085.06 1345.61 l
2096.08 1342.77 l
2108.27 1340.51 l
2120.74 1339.66 l
2134.07 1339.09 l
2147.67 1339.66 l
2162.13 1340.51 l
2177.44 1342.77 l
2193.31 1346.46 l
2209.75 1350.71 l
2226.48 1356.1 l
2244.33 1362.62 l
2263.33 1370.84 l
2282.6 1379.91 l
2302.73 1390.4 l
2323.99 1402.87 l
2345.53 1416.47 l
2367.64 1432.07 l
2390.89 1449.64 l
2414.41 1468.35 l
2438.51 1489.33 l
2462.6 1512.29 l
2486.98 1536.95 l
2511.07 1563.88 l
2535.74 1592.79 l
2559.26 1624.54 l
2582.51 1657.99 l
2604.62 1693.99 l
2625.31 1731.97 l
2643.45 1771.94 l
2659.89 1813.89 l
2673.5 1858.11 l
2683.99 1902.9 l
2690.79 1949.11 l
2694.19 1995.88 l
2693.63 2042.37 l
2689.37 2089.14 l
2681.15 2135.06 l
2670.1 2179.28 l
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2719.99 2066.74 m
2712.9 2120.89 l
2701 2173.89 l
2684.84 2225.2 l
2665.28 2274.24 l
2643.17 2321.01 l
2617.94 2365.23 l
2591.58 2406.62 l
2564.08 2444.89 l
2535.74 2480.6 l
2507.39 2513.77 l
2478.48 2544.38 l
2450.13 2572.16 l
2422.07 2597.39 l
2394.57 2620.63 l
2367.64 2641.89 l
2341.56 2660.6 l
2316.05 2677.89 l
2291.96 2692.63 l
2268.43 2705.96 l
2246.32 2717.3 l
2225.06 2727.5 l
2204.93 2735.72 l
2185.09 2742.52 l
2166.95 2748.19 l
2149.66 2752.73 l
2132.65 2755.85 l
2116.77 2758.11 l
2101.47 2759.53 l
2086.5 2760.1 l
2072.55 2758.96 l
2059.54 2757.55 l
2046.5 2755.85 l
2034.97 2752.73 l
2023.4 2749.04 l
2012.83 2744.79 l
2002.71 2740.26 l
1993.1 2734.87 l
1983.94 2728.92 l
1975.3 2722.4 l
1966.59 2715.59 l
1958.4 2708.22 l
1950.72 2700.57 l
1943.49 2692.63 l
1936.29 2683.85 l
1930.03 2675.34 l
1923.74 2665.99 l
1917.98 2656.35 l
1912.2 2646.43 l
1907.38 2636.22 l
1902.56 2626.3 l
1897.74 2615.81 l
1893.43 2604.76 l
1889.07 2593.7 l
1884.73 2582.37 l
1880.88 2570.74 l
1877.08 2559.41 l
1873.68 2547.5 l
1870.3 2535.59 l
1867.44 2523.12 l
1864.52 2511.22 l
1861.66 2498.46 l
1859.25 2486.27 l
1857.32 2473.23 l
1854.88 2461.04 l
1852.95 2448.29 l
1851.05 2434.96 l
1848.65 2422.21 l
1846.72 2408.89 l
1845.27 2395.85 l
1843.34 2382.81 l
1841.9 2369.48 l
1840.45 2356.16 l
1839.01 2342.84 l
1838.04 2329.23 l
1837.08 2315.91 l
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1835.15 2288.7 l
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1833.22 2261.48 l
1832.29 2248.16 l
1831.78 2234.27 l
1830.84 2220.66 l
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1829.37 2193.17 l
1828.92 2179.28 l
1828.41 2165.67 l
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1827.44 2124.57 l
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1826.51 2069.58 l
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1825.54 2014.59 l
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1826.02 1987.09 l
1826.02 1972.92 l
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1826.51 1945.42 l
1826.99 1931.81 l
1827.44 1917.92 l
1827.44 1904.32 l
1827.95 1890.43 l
1827.95 1876.82 l
1828.41 1862.93 l
1828.92 1849.33 l
1829.37 1835.44 l
1829.85 1821.83 l
1830.36 1807.94 l
1831.3 1794.9 l
1832.29 1781.01 l
1833.22 1767.4 l
1834.22 1753.51 l
1835.15 1740.19 l
1835.63 1726.59 l
1836.63 1713.26 l
1837.56 1699.66 l
1839.01 1686.33 l
1839.97 1673.01 l
1841.42 1659.12 l
1842.86 1646.08 l
1844.31 1632.76 l
1846.24 1620 l
1848.16 1606.68 l
1850.09 1593.64 l
1852.02 1580.6 l
1854.43 1567.56 l
1856.36 1554.81 l
1858.74 1542.62 l
1861.15 1529.58 l
1863.58 1517.39 l
1865.99 1504.92 l
1869.34 1492.44 l
1872.23 1480.54 l
1876.08 1468.63 l
1879.46 1457.29 l
1883.31 1445.39 l
1887.65 1434.33 l
1891.96 1423.56 l
1896.3 1412.51 l
1900.63 1401.45 l
1905.45 1390.96 l
1910.75 1380.76 l
1916.05 1370.84 l
1921.35 1361.2 l
1927.59 1352.13 l
1933.85 1342.77 l
1941.11 1334.55 l
1948.31 1326.33 l
1956.02 1318.68 l
1963.73 1311.31 l
1972.41 1303.94 l
1981.05 1297.42 l
1989.7 1291.47 l
1999.34 1286.08 l
2009.45 1280.69 l
2019.57 1276.44 l
2030.63 1272.47 l
2042.68 1269.07 l
2054.72 1266.8 l
2068.19 1265.1 l
2081.68 1264.54 l
2096.08 1264.54 l
2111.67 1265.39 l
2126.98 1267.37 l
2143.7 1269.92 l
2160.71 1274.18 l
2178.85 1279.28 l
2197.85 1285.51 l
2217.97 1293.73 l
2238.66 1303.09 l
2260.77 1313.86 l
2283.45 1326.33 l
2307.55 1341.07 l
2332.49 1356.95 l
2358.57 1375.37 l
2384.93 1395.5 l
2412.43 1417.89 l
2440.49 1442.55 l
2468.84 1469.77 l
2497.18 1499.53 l
2525.53 1531.56 l
2554.16 1566.43 l
2581.94 1603.84 l
2608.87 1644.1 l
2634.38 1687.75 l
2657.91 1733.39 l
2678.32 1781.58 l
2695.61 1832.32 l
2708.93 1884.48 l
2717.72 1938.62 l
2721.97 1993.04 l
2721.69 2047.47 l
2715.74 2101.89 l
2705.82 2155.47 l
2690.79 2207.34 l
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2745.5 2084.6 m
2733.59 2156.6 l
2713.75 2225.77 l
2688.24 2291.53 l
2657.06 2353.89 l
2622.76 2411.44 l
2585.91 2464.73 l
2547.64 2512.63 l
2509.37 2556.29 l
2471.67 2595.69 l
2435.11 2630.84 l
2399.96 2662.02 l
2365.66 2689.8 l
2333.06 2715.03 l
2301.59 2737.14 l
2272.4 2756.41 l
2244.05 2772.85 l
2217.4 2787.03 l
2192.46 2798.93 l
2169.78 2808.85 l
2148.52 2817.36 l
2128.96 2823.59 l
2111.11 2828.7 l
2094.66 2832.67 l
2079.27 2835.5 l
2064.82 2837.77 l
2050.87 2839.19 l
2037.89 2840.04 l
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2023.91 2840.04 m
2012.35 2839.19 l
2000.33 2838.33 l
1988.76 2836.07 l
1978.13 2833.8 l
1968.04 2830.4 l
1958.91 2826.71 l
1950.24 2822.18 l
1942.53 2817.64 l
1934.82 2812.54 l
1927.59 2807.72 l
1919.91 2801.77 l
1912.68 2795.82 l
1905.45 2789.3 l
1898.22 2782.78 l
1891.02 2775.41 l
1884.25 2767.75 l
1878.01 2760.1 l
1872.23 2751.31 l
1866.93 2742.52 l
1861.66 2733.45 l
1857.32 2723.25 l
1852.95 2713.61 l
1848.65 2703.12 l
1844.31 2692.63 l
1839.49 2681.58 l
1835.15 2670.81 l
1830.84 2659.19 l
1826.02 2647.28 l
1822.14 2635.09 l
1818.31 2622.62 l
1814.94 2609.3 l
1812.05 2595.97 l
1809.16 2582.65 l
1806.75 2569.04 l
1804.34 2554.87 l
1802.41 2540.7 l
1800 2526.52 l
1797.62 2511.78 l
1794.7 2497.04 l
1792.29 2482.59 l
1789.91 2467.28 l
1787.5 2451.69 l
1785.55 2436.67 l
1783.65 2421.07 l
1782.65 2405.2 l
1781.24 2389.61 l
1780.73 2373.45 l
1779.79 2357.58 l
1778.83 2341.99 l
1777.86 2325.83 l
1776.42 2309.96 l
1775.45 2293.52 l
1774.01 2277.36 l
1772.56 2261.48 l
1771.12 2244.76 l
1770.18 2228.89 l
1769.67 2212.44 l
1769.16 2196 l
1769.16 2179.28 l
1769.16 2162.84 l
1769.16 2146.96 l
1769.16 2130.52 l
1769.16 2113.8 l
1768.71 2097.36 l
1767.74 2080.92 l
1767.26 2064.48 l
1766.78 2048.03 l
1766.33 2031.59 l
1765.82 2015.15 l
1766.33 1998.43 l
1766.33 1981.99 l
1767.26 1965.55 l
1767.74 1949.11 l
1768.25 1932.66 l
1768.71 1916.22 l
1769.16 1899.5 l
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1769.16 1850.18 l
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1769.67 1817.58 l
1770.18 1801.14 l
1771.12 1784.7 l
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1775.94 1720.07 l
1777.38 1704.19 l
1778.35 1688.03 l
1779.31 1672.16 l
1780.27 1656 l
1781.24 1640.13 l
1782.2 1624.54 l
1783.16 1608.38 l
1784.58 1592.79 l
1786.54 1577.2 l
1788.92 1562.18 l
1791.36 1547.15 l
1793.74 1531.84 l
1796.66 1517.39 l
1799.04 1502.65 l
1801.48 1488.47 l
1803.86 1474.3 l
1806.27 1460.13 l
1808.19 1446.24 l
1811.09 1432.63 l
1813.5 1419.31 l
1816.87 1405.99 l
1820.72 1393.23 l
1824.58 1380.76 l
1828.92 1368.85 l
1833.71 1357.51 l
1838.04 1346.18 l
1842.38 1335.12 l
1847.2 1324.63 l
1851.51 1313.86 l
1855.87 1303.94 l
1860.21 1294.3 l
1865 1284.66 l
1870.3 1275.59 l
1875.63 1267.37 l
1881.87 1259.15 l
1888.61 1251.21 l
1895.36 1243.84 l
1902.56 1237.04 l
1910.27 1230.8 l
1917.47 1224.29 l
1924.73 1218.9 l
1932.44 1213.23 l
1939.64 1207.84 l
1947.35 1203.31 l
1956.02 1198.77 l
1964.67 1195.09 l
1974.28 1191.69 l
1984.91 1189.14 l
1995.96 1186.87 l
2008.01 1185.45 l
2020.06 1184.32 l
2033.04 1184.03 l
2046.5 1184.32 l
2060 1185.73 l
2074.45 1187.72 l
2089.28 1190.27 l
2105.15 1193.95 l
2122.44 1198.77 l
2141.44 1204.44 l
2162.13 1211.81 l
2184.24 1221.45 l
2208.33 1232.51 l
2234.7 1246.11 l
2262.19 1261.7 l
2291.11 1280.13 l
2322 1301.1 l
2354.32 1324.92 l
2387.48 1352.13 l
2422.63 1381.89 l
2458.63 1415.62 l
2496.33 1453.61 l
2534.32 1495.84 l
2572.3 1542.05 l
2609.72 1593.64 l
2645.44 1649.77 l
2677.75 1710.14 l
2705.82 1775.06 l
2727.36 1843.37 l
2742.38 1914.24 l
2748.9 1986.52 l
2748.05 2059.37 l
2738.41 2131.37 l
2721.69 2201.96 l
2697.88 2269.14 l
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3447.5 1182.33 1620.85 1628.22 re
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3458.84 1182.33 m
3458.84 1198.77 l
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3458.84 2810.56 m
3458.84 2793.83 l
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3583.85 1182.33 m
3583.85 1198.77 l
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3583.85 2810.56 m
3583.85 2793.83 l
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3708.29 1182.33 m
3708.29 1198.77 l
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3708.29 2810.56 m
3708.29 2793.83 l
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3833.01 1182.33 m
3833.01 1198.77 l
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3833.01 2810.56 m
3833.01 2793.83 l
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3958.02 1182.33 m
3958.02 1198.77 l
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3958.02 2810.56 m
3958.02 2793.83 l
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4082.46 1182.33 m
4082.46 1198.77 l
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4082.46 2810.56 m
4082.46 2793.83 l
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4207.19 1182.33 m
4207.19 1198.77 l
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4207.19 2810.56 m
4207.19 2793.83 l
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4332.2 1182.33 m
4332.2 1198.77 l
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4332.2 2810.56 m
4332.2 2793.83 l
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4456.92 1182.33 m
4456.92 1198.77 l
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4456.92 2810.56 m
4456.92 2793.83 l
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4581.36 1182.33 m
4581.36 1198.77 l
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4581.36 2810.56 m
4581.36 2793.83 l
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4706.37 1182.33 m
4706.37 1198.77 l
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4706.37 2810.56 m
4706.37 2793.83 l
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4831.09 1182.33 m
4831.09 1198.77 l
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4831.09 2810.56 m
4831.09 2793.83 l
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4955.54 1182.33 m
4955.54 1198.77 l
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4955.54 2810.56 m
4955.54 2793.83 l
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3447.5 1182.33 1620.85 1628.22 re
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3447.5 1244.41 m
3464.23 1244.41 l
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5068.35 1244.41 m
5051.91 1244.41 l
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3447.5 1369.99 m
3464.23 1369.99 l
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5068.35 1369.99 m
5051.91 1369.99 l
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3447.5 1494.99 m
3464.23 1494.99 l
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5068.35 1494.99 m
5051.91 1494.99 l
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3447.5 1620.85 m
3464.23 1620.85 l
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5068.35 1620.85 m
5051.91 1620.85 l
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3447.5 1745.86 m
3464.23 1745.86 l
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5068.35 1745.86 m
5051.91 1745.86 l
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3447.5 1871.15 m
3464.23 1871.15 l
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5068.35 1871.15 m
5051.91 1871.15 l
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3447.5 1996.73 m
3464.23 1996.73 l
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5068.35 1996.73 m
5051.91 1996.73 l
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3447.5 2121.74 m
3464.23 2121.74 l
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5068.35 2121.74 m
5051.91 2121.74 l
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3447.5 2247.03 m
3464.23 2247.03 l
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5068.35 2247.03 m
5051.91 2247.03 l
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3447.5 2372.6 m
3464.23 2372.6 l
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5068.35 2372.6 m
5051.91 2372.6 l
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3447.5 2497.61 m
3464.23 2497.61 l
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5068.35 2497.61 m
5051.91 2497.61 l
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3447.5 2622.9 m
3464.23 2622.9 l
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5068.35 2622.9 m
5051.91 2622.9 l
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3447.5 2748.48 m
3464.23 2748.48 l
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5068.35 2748.48 m
5051.91 2748.48 l
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5066.65 2048.32 m
5061.83 2100.19 l
5053.33 2151.78 l
5041.99 2202.24 l
5027.25 2252.41 l
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4818.34 2012.03 l
4818.05 2019.97 l
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4815.79 2035.28 l
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h
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Q
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q
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ET
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q
q
10 0 0 10 0 0 cm
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q
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1545.9 1270.21 1529.97 1529.86 re
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1545.9 1314.14 m
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3075.88 1314.14 m
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1545.9 1472.03 m
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3075.88 1472.03 m
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1545.9 1630.21 m
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3075.88 1630.21 m
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1545.9 1788.1 m
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S
3075.88 1788.1 m
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1545.9 1945.99 m
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3075.88 1945.99 m
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1545.9 2104.16 m
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S
3075.88 2104.16 m
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1545.9 2262.05 m
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1545.9 2419.09 m
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S
3075.88 2419.09 m
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1545.9 2577.26 m
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S
3075.88 2577.26 m
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1545.9 2735.15 m
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S
3075.88 2735.15 m
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BT
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Q
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4953.27 1995.59 m
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4953.27 2661.45 m
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4449.27 2283.59 l
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BT
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ET
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1655.01 3719.06 m
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S
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S
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S
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q
10 0 0 10 0 0 cm
BT
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1 0 0 1 154.774 370.069 Tm
(0)Tj
ET
Q
Q
q
1547 3700 m
1547 3701 l
1548 3701 l
1548 3700 l
h
W n
Q
q
q
10 0 0 10 0 0 cm
BT
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0.1 0 0 -0.1 154.5 377.7 Tm
(\000)Tj
ET
Q
Q
q
180 180 m
180 7740 l
5940 7740 l
5940 180 l
h
W n
q
10 0 0 10 0 0 cm
BT
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1 0 0 1 173.4 500.453 Tm
(c\))Tj
ET
Q
Q
q
1734 5004 m
1734 5005 l
1735 5005 l
1735 5004 l
h
W n
Q
q
q
10 0 0 10 0 0 cm
BT
/N223 1 Tf
0.1 0 0 -0.1 173.1 505.6 Tm
(\003)Tj
ET
Q
Q
q
180 180 m
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5940 7740 l
5940 180 l
h
W n
q
10 0 0 10 0 0 cm
BT
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ET
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1 i
1.9956 w
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1670.94 1991.06 1529.95 1529.86 re
S
1741.95 1991.06 m
1741.95 2006.93 l
S
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1741.95 3505.04 l
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2006.93 1991.06 m
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2006.93 3520.92 m
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2537.92 3520.92 m
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2802.93 1991.06 m
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3067.94 3520.92 m
3067.94 3505.04 l
S
1670.94 1991.06 1529.95 1529.86 re
S
1670.94 2063.91 m
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S
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S
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S
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S
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S
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S
3200.89 2851.94 m
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S
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S
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2010.93 2959.94 l
2013.93 2959.94 l
2015.92 2959.94 l
2017.93 2959.94 l
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2183.93 2953.14 m
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BT
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ET
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3643.66 1991.06 m
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3908.7 1991.06 m
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3908.7 3520.92 m
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4173.74 3520.92 m
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4439.63 1991.06 m
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4439.63 3520.92 m
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4704.67 3520.92 m
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4969.71 1991.06 m
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4969.71 3520.92 m
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3572.79 1991.06 1529.86 1529.86 re
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3572.79 2063.91 m
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5102.65 2063.91 m
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3572.79 2279.91 m
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5102.65 2929.04 m
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3572.79 3361.9 m
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5102.65 3361.9 m
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4525.8 2142.15 m
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1765.87 3834.43 l
1778.88 3858.24 l
1792.86 3858.24 l
1805.9 3883.47 l
1818.88 3907.28 l
1832.88 3907.28 l
1845.9 3919.47 l
1859.87 3919.47 l
1872.88 3944.42 l
1885.86 3944.42 l
1899.9 3944.42 l
1912.88 3956.32 l
1925.86 3969.36 l
1939.89 3981.27 l
1952.88 3993.45 l
1966.88 3993.45 l
1979.89 3993.45 l
1992.87 3993.45 l
2006.88 3993.45 l
2019.86 4005.36 l
2032.9 4018.4 l
2046.87 4018.4 l
2059.88 4042.49 l
2073.89 4054.4 l
2086.87 4067.44 l
2099.88 4067.44 l
2113.88 4091.25 l
2126.89 4103.44 l
2139.88 4140.29 l
2153.88 4177.42 l
2166.89 4189.33 l
2180.87 4201.23 l
2193.88 4201.23 l
2206.89 4201.23 l
2220.89 4226.46 l
2233.87 4226.46 l
2246.89 4238.37 l
2260.89 4263.31 l
2273.87 4263.31 l
2286.88 4287.41 l
2300.89 4300.45 l
2313.87 4312.35 l
2327.87 4312.35 l
2340.88 4336.45 l
2353.89 4361.39 l
2367.87 4385.49 l
2380.88 4398.24 l
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2407.86 4422.34 l
2420.88 4459.47 l
2434.88 4483.28 l
2447.89 4520.42 l
2460.87 4557.27 l
2474.88 4569.46 l
2487.89 4569.46 l
2501.86 4581.36 l
2514.9 4581.36 l
2527.88 4581.36 l
2541.89 4594.4 l
2554.87 4630.4 l
2567.88 4630.4 l
2581.88 4630.4 l
2594.87 4630.4 l
2607.88 4643.44 l
2621.88 4667.25 l
2634.86 4667.25 l
2648.9 4680.29 l
2661.88 4680.29 l
2674.89 4680.29 l
2688.86 4680.29 l
2701.88 4692.48 l
2714.89 4692.48 l
2728.86 4716.29 l
2741.9 4753.42 l
2755.88 4778.37 l
2768.89 4802.46 l
2781.87 4802.46 l
2795.87 4802.46 l
2808.88 4839.31 l
2822.86 4888.35 l
2835.9 4913.38 l
2848.88 4937.36 l
2862.88 4974.39 l
2875.89 4998.37 l
2888.88 5011.35 l
2902.88 5023.37 l
2915.89 5035.36 l
S
q
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BT
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(c\))Tj
ET
Q
Q
q
1654 4969 m
1654 4970 l
1655 4970 l
1655 4969 l
h
W n
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q
q
10 0 0 10 0 0 cm
BT
/N239 1 Tf
0.1 0 0 -0.1 165.1 502 Tm
(\003)Tj
ET
Q
Q
q
180 180 m
180 7740 l
5940 7740 l
5940 180 l
h
W n
q
10 0 0 10 0 0 cm
BT
/N197 11.2 Tf
1 0 0 1 141.47 369.182 Tm
(0)Tj
ET
Q
Q
q
1414 3691 m
1414 3692 l
1415 3692 l
1415 3691 l
h
W n
Q
q
q
10 0 0 10 0 0 cm
BT
/N239 1 Tf
0.1 0 0 -0.1 141.2 376.8 Tm
(\001)Tj
ET
Q
Q
q
180 180 m
180 7740 l
5940 7740 l
5940 180 l
h
W n
q
10 0 0 10 0 0 cm
BT
/N197 11.2 Tf
1 0 0 1 133.487 492.47 Tm
(.10)Tj
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Q
1 i
1.9956 w
1 j
3382.3 3607.94 1530.14 1529.95 re
S
3442.4 3607.94 m
3442.4 3623.82 l
S
3442.4 5137.89 m
3442.4 5121.9 l
S
3773.49 3607.94 m
3773.49 3623.82 l
S
3773.49 5137.89 m
3773.49 5121.9 l
S
4104.29 3607.94 m
4104.29 3623.82 l
S
4104.29 5137.89 m
4104.29 5121.9 l
S
4434.24 3607.94 m
4434.24 3623.82 l
S
4434.24 5137.89 m
4434.24 5121.9 l
S
4765.33 3607.94 m
4765.33 3623.82 l
S
4765.33 5137.89 m
4765.33 5121.9 l
S
3382.3 3607.94 1530.14 1529.95 re
S
3382.3 3680.79 m
3398.46 3680.79 l
S
4912.45 3680.79 m
4896.29 3680.79 l
S
3382.3 3890.84 m
3398.46 3890.84 l
S
4912.45 3890.84 m
4896.29 3890.84 l
S
3382.3 4100.04 m
3398.46 4100.04 l
S
4912.45 4100.04 m
4896.29 4100.04 l
S
3382.3 4309.8 m
3398.46 4309.8 l
S
4912.45 4309.8 m
4896.29 4309.8 l
S
3382.3 4519 m
3398.46 4519 l
S
4912.45 4519 m
4896.29 4519 l
S
3382.3 4729.05 m
3398.46 4729.05 l
S
4912.45 4729.05 m
4896.29 4729.05 l
S
3382.3 4937.9 m
3398.46 4937.9 l
S
4912.45 4937.9 m
4896.29 4937.9 l
S
3455.44 3680.79 m
3468.48 3693.83 l
3482.37 3709.99 l
3495.41 3727 l
3509.3 3747.97 l
3522.34 3755.91 l
3535.38 3793.9 l
3549.27 3814.87 l
3562.3 3831.88 l
3575.34 3852.86 l
3589.52 3877.8 l
3602.27 3890.84 l
3616.45 3907 l
3629.49 3931.94 l
3642.24 3944.98 l
3656.41 3979 l
3669.45 4007.91 l
3682.49 4015.85 l
3696.38 4019.82 l
3709.42 4036.82 l
3723.31 4053.83 l
3736.35 4074.81 l
3749.39 4087 l
3763.28 4091.82 l
3776.32 4116.76 l
3789.36 4124.98 l
3803.25 4149.93 l
3816.29 4174.87 l
3830.46 4195.85 l
3843.5 4204.92 l
3856.26 4221.93 l
3870.43 4237.8 l
3883.47 4242.9 l
3896.51 4258.78 l
3910.4 4267.85 l
3923.44 4288.83 l
3937.33 4297.05 l
3950.37 4321.99 l
3963.41 4330.78 l
3977.3 4342.97 l
3990.34 4346.94 l
4003.38 4363.94 l
4017.27 4367.91 l
4030.31 4384.92 l
4044.48 4397.96 l
4057.23 4413.83 l
4070.27 4418.94 l
4084.45 4443.88 l
4097.49 4451.82 l
4110.53 4472.79 l
4124.42 4493.77 l
4137.46 4510.78 l
4150.49 4522.97 l
4164.38 4526.94 l
4177.42 4526.94 l
4191.31 4547.91 l
4204.35 4572.86 l
4217.39 4581.93 l
4231.28 4589.87 l
4244.32 4610.84 l
4258.49 4619.91 l
4271.25 4627.85 l
4284.29 4631.82 l
4298.46 4635.79 l
4311.5 4640.89 l
4324.26 4640.89 l
4338.43 4657.05 l
4351.47 4669.8 l
4365.36 4669.8 l
4378.4 4673.77 l
4391.44 4682.84 l
4405.33 4699 l
4418.37 4719.98 l
4431.41 4744.92 l
4445.3 4748.89 l
4458.34 4757.96 l
4471.38 4757.96 l
4485.27 4774.97 l
4498.31 4786.87 l
4512.48 4795.94 l
4525.52 4816.92 l
4538.27 4836.76 l
4552.45 4836.76 l
4565.49 4836.76 l
4578.24 4853.77 l
4592.42 4870.78 l
4605.46 4883.82 l
4619.35 4904.79 l
4632.39 4916.9 l
4645.42 4924.89 l
4659.31 4933.91 l
4672.35 4933.91 l
4686.24 4954.91 l
4699.28 4954.91 l
4712.32 4971.89 l
4726.5 4983.88 l
4739.25 5000.89 l
4752.29 5000.89 l
4766.46 5004.89 l
4779.5 5004.89 l
S
q
10 0 0 10 0 0 cm
BT
/N197 11.2 Tf
1 0 0 1 350.791 497.792 Tm
(d\))Tj
ET
Q
Q
q
3507 4977 m
3507 4978 l
3508 4978 l
3508 4977 l
h
W n
Q
q
q
10 0 0 10 0 0 cm
BT
/N239 1 Tf
0.1 0 0 -0.1 350.5 505.4 Tm
(\004)Tj
ET
Q
Q
q
180 180 m
180 7740 l
5940 7740 l
5940 180 l
h
W n
q
10 0 0 10 0 0 cm
BT
/N197 11.2 Tf
1 0 0 1 328.618 367.41 Tm
(0)Tj
ET
Q
Q
q
3286 3674 m
3286 3675 l
3287 3675 l
3287 3674 l
h
W n
Q
q
q
10 0 0 10 0 0 cm
BT
/N239 1 Tf
0.1 0 0 -0.1 328.3 375 Tm
(\001)Tj
ET
Q
Q
q
180 180 m
180 7740 l
5940 7740 l
5940 180 l
h
W n
q
10 0 0 10 0 0 cm
BT
/N197 11.2 Tf
1 0 0 1 320.636 471.184 Tm
(.25)Tj
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Q
1 i
1.9956 w
1 j
1512.34 1979.44 1530.09 1529.86 re
S
1572.35 1979.44 m
1572.35 1995.31 l
S
1572.35 3509.3 m
1572.35 3493.42 l
S
1903.33 1979.44 m
1903.33 1995.31 l
S
1903.33 3509.3 m
1903.33 3493.42 l
S
2234.33 1979.44 m
2234.33 1995.31 l
S
2234.33 3509.3 m
2234.33 3493.42 l
S
2564.34 1979.44 m
2564.34 1995.31 l
S
2564.34 3509.3 m
2564.34 3493.42 l
S
2895.34 1979.44 m
2895.34 1995.31 l
S
2895.34 3509.3 m
2895.34 3493.42 l
S
1512.34 1979.44 1530.09 1529.86 re
S
1512.34 2052.29 m
1528.33 2052.29 l
S
3042.43 2052.29 m
3026.27 2052.29 l
S
1512.34 2420.51 m
1528.33 2420.51 l
S
3042.43 2420.51 m
3026.27 2420.51 l
S
1512.34 2788.45 m
1528.33 2788.45 l
S
3042.43 2788.45 m
3026.27 2788.45 l
S
1512.34 3155.25 m
1528.33 3155.25 l
S
3042.43 3155.25 m
3026.27 3155.25 l
S
1585.33 2052.29 m
1598.32 2052.29 l
1612.35 2052.29 l
1625.33 2052.29 l
1639.33 2052.29 l
1652.32 2052.29 l
1665.33 2052.29 l
1679.33 2052.29 l
1692.31 2052.29 l
1705.35 2052.29 l
1719.33 2052.29 l
1732.34 2052.29 l
1746.34 2052.29 l
1759.33 2052.29 l
1772.34 2052.29 l
1786.31 2052.29 l
1799.35 2052.29 l
1812.33 2052.29 l
1826.34 2052.29 l
1839.35 2052.29 l
1853.32 2052.29 l
1866.33 2052.29 l
1879.32 2052.29 l
1893.35 2052.29 l
1906.33 2052.29 l
1919.31 2052.29 l
1933.34 2052.29 l
1946.33 2052.29 l
1960.33 2052.29 l
1973.34 2126.27 l
1986.32 2126.27 l
2000.33 2126.27 l
2013.31 2126.27 l
2026.35 2126.27 l
2040.32 2126.27 l
2053.34 2126.27 l
2067.34 2199.4 l
2080.32 2199.4 l
2093.33 2199.4 l
2107.34 2199.4 l
2120.35 2199.4 l
2133.33 2199.4 l
2147.33 2199.4 l
2160.34 2199.4 l
2174.32 2199.4 l
2187.33 2199.4 l
2200.34 2199.4 l
2214.34 2273.39 l
2227.33 2273.39 l
2240.34 2273.39 l
2254.34 2346.24 l
2267.32 2567.34 l
2280.33 2641.33 l
2294.34 2641.33 l
2307.32 2641.33 l
2321.32 2641.33 l
2334.33 2641.33 l
2347.35 2714.46 l
2361.32 2714.46 l
2374.33 2714.46 l
2388.33 2714.46 l
2401.32 2714.46 l
2414.33 2714.46 l
2428.33 2714.46 l
2441.34 2788.45 l
2454.32 2788.45 l
2468.33 2788.45 l
2481.34 2788.45 l
2495.31 2788.45 l
2508.35 2788.45 l
2521.34 2861.3 l
2535.34 2861.3 l
2548.32 2861.3 l
2561.33 2861.3 l
2575.34 2861.3 l
2588.32 2861.3 l
2601.33 2861.3 l
2615.33 2935.28 l
2628.32 2935.28 l
2642.35 2935.28 l
2655.33 2935.28 l
2668.34 2935.28 l
2682.32 2935.28 l
2695.33 2935.28 l
2708.34 2935.28 l
2722.31 2935.28 l
2735.35 3008.41 l
2749.33 3008.41 l
2762.34 3008.41 l
2775.32 3229.23 l
2789.32 3229.23 l
2802.33 3229.23 l
2816.31 3229.23 l
2829.35 3229.23 l
2842.33 3229.23 l
2856.33 3229.23 l
2869.35 3229.23 l
2882.33 3229.23 l
2896.33 3303.22 l
2909.34 3376.35 l
S
q
10 0 0 10 0 0 cm
BT
/N197 11.2 Tf
1 0 0 1 168.966 327.496 Tm
(e\))Tj
ET
Q
Q
q
1689 3274 m
1689 3275 l
1690 3275 l
1690 3274 l
h
W n
Q
q
q
10 0 0 10 0 0 cm
BT
/N239 1 Tf
0.1 0 0 -0.1 168.7 332.6 Tm
(\005)Tj
ET
Q
Q
q
180 180 m
180 7740 l
5940 7740 l
5940 180 l
h
W n
q
10 0 0 10 0 0 cm
BT
/N197 11.2 Tf
1 0 0 1 154.774 183.81 Tm
(0)Tj
ET
Q
Q
q
1547 1838 m
1547 1839 l
1548 1839 l
1548 1838 l
h
W n
Q
q
q
10 0 0 10 0 0 cm
BT
/N239 1 Tf
0.1 0 0 -0.1 154.5 191.4 Tm
(\001)Tj
ET
Q
Q
q
180 180 m
180 7740 l
5940 7740 l
5940 180 l
h
W n
q
10 0 0 10 0 0 cm
BT
/N197 11.2 Tf
1 0 0 1 286.044 185.582 Tm
(400)Tj
-121.513 -11.5285 Td
(Number of toroidal transits)Tj
ET
Q
Q
q
1645 1740 m
1645 1741 l
1646 1741 l
1646 1740 l
h
W n
Q
q
q
10 0 0 10 0 0 cm
BT
/N239 1 Tf
0.1 0 0 -0.1 164.2 181.5 Tm
(\006)Tj
ET
Q
Q
q
180 180 m
180 7740 l
5940 7740 l
5940 180 l
h
W n
q
10 0 0 10 0 0 cm
BT
/N197 11.2 Tf
1 0 0 1 142.357 205.095 Tm
(0)Tj
ET
Q
Q
q
1423 2050 m
1423 2051 l
1424 2051 l
1424 2050 l
h
W n
Q
q
q
10 0 0 10 0 0 cm
BT
/N239 1 Tf
0.1 0 0 -0.1 142.1 212.7 Tm
(\001)Tj
ET
Q
Q
q
180 180 m
180 7740 l
5940 7740 l
5940 180 l
h
W n
q
10 0 0 10 0 0 cm
BT
/N197 11.2 Tf
1 0 0 1 129.052 314.193 Tm
(.015)Tj
ET
Q
1 i
1.9956 w
1 j
3391.09 1945.14 1529.86 1529.86 re
S
3450.9 1945.14 m
3450.9 1961.01 l
S
3450.9 3475 m
3450.9 3459.12 l
S
3781.99 1945.14 m
3781.99 1961.01 l
S
3781.99 3475 m
3781.99 3459.12 l
S
4113.08 1945.14 m
4113.08 1961.01 l
S
4113.08 3475 m
4113.08 3459.12 l
S
4443.03 1945.14 m
4443.03 1961.01 l
S
4443.03 3475 m
4443.03 3459.12 l
S
4773.83 1945.14 m
4773.83 1961.01 l
S
4773.83 3475 m
4773.83 3459.12 l
S
3391.09 1945.14 1529.86 1529.86 re
S
3391.09 2017.99 m
3406.97 2017.99 l
S
4920.95 2017.99 m
4905.08 2017.99 l
S
3391.09 2222.08 m
3406.97 2222.08 l
S
4920.95 2222.08 m
4905.08 2222.08 l
S
3391.09 2427.03 m
3406.97 2427.03 l
S
4920.95 2427.03 m
4905.08 2427.03 l
S
3391.09 2631.12 m
3406.97 2631.12 l
S
4920.95 2631.12 m
4905.08 2631.12 l
S
3391.09 2834.93 m
3406.97 2834.93 l
S
4920.95 2834.93 m
4905.08 2834.93 l
S
3391.09 3040.16 m
3406.97 3040.16 l
S
4920.95 3040.16 m
4905.08 3040.16 l
S
3391.09 3243.97 m
3406.97 3243.97 l
S
4920.95 3243.97 m
4905.08 3243.97 l
S
3391.09 3448.07 m
3406.97 3448.07 l
S
4920.95 3448.07 m
4905.08 3448.07 l
S
3463.94 2017.99 m
3476.98 2159.15 l
3490.87 2175.03 l
3503.91 2224.07 l
3518.08 2277.92 l
3530.84 2305.99 l
3543.88 2345.11 l
3558.05 2386.21 l
3570.81 2413.99 l
3583.85 2431 l
3598.02 2457.07 l
3611.06 2489.96 l
3624.95 2517.17 l
3637.99 2546.93 l
3651.03 2572.16 l
3664.92 2599.94 l
3677.96 2627.15 l
3691 2650.96 l
3704.89 2665.99 l
3717.93 2684.13 l
3731.82 2705.11 l
3744.86 2722.96 l
3757.9 2743.09 l
3772.07 2764.07 l
3784.82 2772 l
3797.86 2779.94 l
3812.04 2792.13 l
3825.08 2807.15 l
3838.97 2825.01 l
3852.01 2832.95 l
3865.05 2847.97 l
3878.94 2851.94 l
3891.97 2862.15 l
3905.01 2868.1 l
3918.9 2881.99 l
3931.94 2899 l
3945.83 2913.17 l
3958.87 2921.11 l
3971.91 2929.04 l
3986.08 2933.01 l
3998.84 2940.1 l
4011.88 2942.08 l
4026.05 2952 l
4039.09 2952 l
4052.98 2959.94 l
4066.02 2974.11 l
4079.06 2987.15 l
4092.95 3001.04 l
4105.99 3008.98 l
4119.03 3017.2 l
4132.92 3023.15 l
4145.96 3040.16 l
4159 3054.05 l
4172.89 3058.02 l
4185.93 3063.97 l
4199.82 3067.94 l
4212.86 3072.19 l
4225.9 3084.95 l
4240.07 3086.93 l
4252.83 3091.19 l
4267 3099.12 l
4280.04 3105.08 l
4293.08 3105.08 l
4306.97 3107.06 l
4320.01 3118.97 l
4333.05 3128.04 l
4346.94 3139.94 l
4359.98 3144.19 l
4373.86 3150.15 l
4386.9 3162.05 l
4399.94 3166.02 l
4413.83 3177.08 l
4426.87 3181.04 l
4439.91 3185.01 l
4454.09 3196.92 l
4466.84 3209.11 l
4479.88 3215.06 l
4494.05 3221.01 l
4506.81 3226.11 l
4520.98 3238.02 l
4534.02 3243.97 l
4547.06 3247.94 l
4560.95 3254.18 l
4573.99 3260.13 l
4587.03 3271.19 l
4600.92 3273.17 l
4613.96 3277.14 l
4627.85 3287.06 l
4640.89 3296.98 l
4653.93 3302.93 l
4667.82 3307.19 l
4680.86 3309.17 l
4695.03 3311.15 l
4708.07 3315.97 l
4720.83 3319.94 l
4735 3328.16 l
4748.04 3330.15 l
4761.08 3334.12 l
4774.97 3338.08 l
4788.01 3342.05 l
S
q
10 0 0 10 0 0 cm
BT
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1 0 0 1 352.565 324.834 Tm
(f\))Tj
ET
Q
Q
q
3525 3248 m
3525 3249 l
3526 3249 l
3526 3248 l
h
W n
Q
q
q
10 0 0 10 0 0 cm
BT
/N239 1 Tf
0.1 0 0 -0.1 352.3 332.4 Tm
(\007)Tj
ET
Q
Q
q
180 180 m
180 7740 l
5940 7740 l
5940 180 l
h
W n
q
10 0 0 10 0 0 cm
BT
/N197 11.2 Tf
1 0 0 1 339.73 183.796 Tm
(0)Tj
ET
Q
Q
q
3397 1837 m
3397 1838 l
3398 1838 l
3398 1837 l
h
W n
Q
q
q
10 0 0 10 0 0 cm
BT
/N239 1 Tf
0.1 0 0 -0.1 339.4 191.4 Tm
(\001)Tj
ET
Q
Q
q
180 180 m
180 7740 l
5940 7740 l
5940 180 l
h
W n
q
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417.5 590.5 l
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0.867 0.031 0.024 RG
435.5 616.5 m
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434.396 609.5 433.5 611.068 433.5 613 c
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W n
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(Figure 7, Redi)Tj
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168.5 516.844 167.604 515.5 166.5 515.5 c
165.396 515.5 164.5 516.844 164.5 518.5 c
164.5 520.156 165.396 521.5 166.5 521.5 c
s
166.5 594.5 m
167.604 594.5 168.5 593.156 168.5 591.5 c
168.5 589.844 167.604 588.5 166.5 588.5 c
165.396 588.5 164.5 589.844 164.5 591.5 c
164.5 593.156 165.396 594.5 166.5 594.5 c
s
194.5 507.5 m
195.604 507.5 196.5 506.156 196.5 504.5 c
196.5 502.844 195.604 501.5 194.5 501.5 c
193.396 501.5 192.5 502.844 192.5 504.5 c
192.5 506.156 193.396 507.5 194.5 507.5 c
s
235.5 464.5 m
236.604 464.5 237.5 463.156 237.5 461.5 c
237.5 459.844 236.604 458.5 235.5 458.5 c
234.396 458.5 233.5 459.844 233.5 461.5 c
233.5 463.156 234.396 464.5 235.5 464.5 c
s
291.5 467.5 m
292.604 467.5 293.5 466.156 293.5 464.5 c
293.5 462.844 292.604 461.5 291.5 461.5 c
290.396 461.5 289.5 462.844 289.5 464.5 c
289.5 466.156 290.396 467.5 291.5 467.5 c
s
0 0 0.831 RG
164.5 467.5 m
164.5 461.5 l
S
168.5 461.5 m
168.5 467.5 l
S
164.5 461.5 m
168.5 461.5 l
S
168.5 467.5 m
164.5 467.5 l
S
164.5 541.5 m
164.5 535.5 l
S
164.5 535.5 m
168.5 535.5 l
S
168.5 535.5 m
168.5 541.5 l
S
168.5 541.5 m
164.5 541.5 l
S
192.5 479.5 m
192.5 473.5 l
S
192.5 473.5 m
196.5 473.5 l
S
196.5 473.5 m
196.5 479.5 l
S
196.5 479.5 m
192.5 479.5 l
S
233.5 454.5 m
233.5 448.5 l
S
233.5 448.5 m
237.5 448.5 l
S
237.5 448.5 m
237.5 454.5 l
S
237.5 454.5 m
233.5 454.5 l
S
289.5 454.5 m
289.5 449.5 l
S
289.5 449.5 m
293.5 449.5 l
S
293.5 449.5 m
293.5 454.5 l
S
293.5 454.5 m
289.5 454.5 l
S
BT
/N6 9 Tf
0 G
133.892 434 TD
(0)Tj
ET
BT
133.892 458 TD
(2)Tj
ET
BT
133.892 483 TD
(4)Tj
ET
BT
133.892 507 TD
(6)Tj
ET
BT
133.892 532 TD
(8)Tj
ET
BT
128.727 557 TD
(10)Tj
ET
BT
128.727 582 TD
(12)Tj
ET
BT
128.727 606 TD
(14)Tj
ET
BT
137.915 428 TD
(50)Tj
ET
BT
175.29 428 TD
(100)Tj
ET
BT
218.451 427 TD
(150)Tj
ET
BT
264.041 427 TD
(200)Tj
ET
BT
303.446 427 TD
(250)Tj
ET
BT
220.667 416 TD
0.143 Tc
(Bz \(kg\))Tj
ET
235.5 474.5 m
235.5 450.5 l
S
291.5 474.5 m
292.5 454.5 l
S
166.5 615.5 m
166.5 565.5 l
S
194.5 522.5 m
194.5 489.5 l
S
0 0 0.831 rg
164.5 461.5 4 5 re
b
0.867 0.031 0.024 rg
165 521.5 m
166.38 521.5 167.5 520.38 167.5 519 c
167.5 517.62 166.38 516.5 165 516.5 c
163.62 516.5 162.5 517.62 162.5 519 c
162.5 520.38 163.62 521.5 165 521.5 c
b
BT
0 g
204.56 583 TD
0 Tc
(Particle Loss )Tj
ET
BT
203.6 563 TD
(Energy Loss )Tj
ET
0 0 0.831 rg
265.5 563.5 8 6 re
b
0.867 0.031 0.024 rg
271 587.5 m
273.484 587.5 275.5 586.38 275.5 585 c
275.5 583.62 273.484 582.5 271 582.5 c
268.516 582.5 266.5 583.62 266.5 585 c
266.5 586.38 268.516 587.5 271 587.5 c
b
0.867 0.031 0.024 RG
1 g
293.5 587.5 m
295.708 587.5 297.5 586.38 297.5 585 c
297.5 583.62 295.708 582.5 293.5 582.5 c
291.292 582.5 289.5 583.62 289.5 585 c
289.5 586.38 291.292 587.5 293.5 587.5 c
b
0 0 0.831 RG
289.5 562.5 7 6 re
b
BT
0 g
0 G
245.673 595 TD
(R=9.06m)Tj
ET
BT
284.035 594 TD
(4.53m)Tj
ET
BT
109.309 533 TD
(\(%\))Tj
ET
BT
/N6 12 Tf
0 0 0.831 rg
0 0 0.831 RG
108.5 280 TD
0.147 Tc
(Figure 13)Tj
ET
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