Invariability of intense beam emittance in nonlinear focusing channel

Author

Batygin, Y.K.

Author_Institution

RIKEN, Inst. of Phys. & Chem. Res., Saitama, Japan

Volume

5

fYear

1995

fDate

1-5 May 1995

Firstpage

3251

Abstract

New approach to keep emittance of a high current beam in a uniform focusing channel is presented. The matching conditions for a beam with arbitrary distribution function in a nonlinear focusing channel are examined. To obtain proper matching, it is necessary to accept that the potential of the external focusing field contains higher order terms than quadratic. The solution for external potential is obtained from the stationary Vlasov´s equation for beam distribution function and Poisson´s equation for electrostatic beam potential. An analytical approach is illustrated by results of a particle-in-cell simulation

Keywords

Vlasov equation; particle beam focusing; distribution function; electrostatic beam potential; external focusing field; external potential; high current beam; intense beam emittance invariability; matching conditions; nonlinear focusing channel; particle-in-cell simulation; stationary Vlasov´s equation; uniform focusing channel; Acceleration; Analytical models; Chemicals; Distribution functions; Electrostatics; Motion analysis; Nonlinear equations; Particle beams; Poisson equations; Space charge;

fLanguage

English

Publisher

ieee

Conference_Titel

Particle Accelerator Conference, 1995., Proceedings of the 1995

Conference_Location

Dallas, TX

Print_ISBN

0-7803-2934-1

Type

conf

DOI

10.1109/PAC.1995.505845

Filename

505845