Generalized Courant-Snyder Theory for Charged Particle Dynamics in General Focusing Lattices
Authors: Hong Qin, Ronald C. Davidson, Moses Chung and Joshua W. Burby
Abstract:
Courant-Snyder (CS) theory for one degree of freedom is generalized to the case of coupled
transverse dynamics in general linear focusing lattices with quadrupole, skew-quadrupole, dipole,
and solenoidal components, as well as torsion of the fiducial orbit and variation of beam energy.
The envelope function is generalized into an envelope matrix, and the phase advance is generalized
into a 4D sympletic rotation. The envelope equation, transfer matrix, and the CS invariant of
the original CS theory, all have their counterparts, with remarkably similar expressions, in the
generalized theory.
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Submitted to: Physical Review Letters (June 2013)
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Download PPPL-4881 (pdf 541 KB 11 pp)
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