A Class Of Generalized Kapchinskij-Vladimirskij Solutions And Associated Envelope Equations For High-intensity Charged Particle Beams
Authors: Hong Qin and Ronald C. Davidson
Abstract:
A class of generalized Kapchinskij-Vladimirskij solutions of the nonlinear Vlasov-Maxwell equations
and the associated envelope equations for high-intensity beams in a periodic lattice is derived.
It includes the classical Kapchinskij-Vladimirskij solution as a special case. For a given lattice,
the distribution functions and the envelope equations are specified by eight free parameters.
The class of solutions derived captures a wider range of dynamical envelope behavior for
high-intensity beams, and thus provides a new theoretical tool to investigate the dynamics of
high-intensity beams.
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Submitted to: Physical Review Letters (April 2012)
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Download PPPL-4754 (pdf 1.02 MB 11 pp)
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