PPPL-4754

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.
__________________________________________________

Submitted to: Physical Review Letters (April 2012)

__________________________________________________

Download PPPL-4754 (pdf 1.02 MB 11 pp)
__________________________________________________