Class of Generalized Kapchinskij-Vladimirskij Solutions and Associated Envelope Equations for High-Intensity Charged-Particle Beams

Hong Qin and Ronald C. Davidson
Phys. Rev. Lett. 110, 064803 – Published 5 February 2013

Abstract

A class of generalized Kapchinskij-Vladimirskij solutions of the Vlasov-Maxwell equations and the associated envelope equations for high-intensity beams in an uncoupled 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 ten 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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  • Received 24 April 2012

DOI:https://doi.org/10.1103/PhysRevLett.110.064803

© 2013 American Physical Society

Authors & Affiliations

Hong Qin1,2 and Ronald C. Davidson1

  • 1Plasma Physics Laboratory, Princeton University, Princeton, New Jersey 08543, USA
  • 2Department of Modern Physics, University of Science and Technology of China, Hefei, Anhui 230026, China

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Issue

Vol. 110, Iss. 6 — 8 February 2013

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