The model of ensembles for the beam dynamics simulation

Author

Novokhatski, A. ; Weiland, T.

Author_Institution

TU Darmstadt, Germany

Volume

4

fYear

1999

fDate

1999

Firstpage

2743

Abstract

It is proposed to use the “Ensembles” of particles for modeling the beams in accelerators. Each ensemble describes the longitudinal and transverse dynamics of the nonmonochromatic bunch in the six dimensional phase space. taking into account all coupling effects, coming from the relativistic relation between variation of the velocity projection and energy spread. Ensemble parameters include average values of coordinate and momentum, bunch dimensions, noncorrelated momentum spread and all second order correlation parameters. Self-consistent equations for the Ensemble are derived from the Vlasov equation. The presentation by vector and matrix gives the possibility to define an implicit algorithm for computer simulations. Examples of application of this model for the calculation of the beam dynamics in the accelerators are presented

Keywords

Vlasov equation; numerical analysis; particle beam bunching; particle beam dynamics; Vlasov equation; beam dynamics simulation; coupling effects; energy spread; ensembles; longitudinal dynamics; noncorrelated momentum spread; nonmonochromatic bunch; relativistic relation; second order correlation parameters; six dimensional phase space; transverse dynamics; velocity projection; Application software; Distribution functions; Equations; Linear particle accelerator; Particle accelerators; Particle beams;

fLanguage

English

Publisher

ieee

Conference_Titel

Particle Accelerator Conference, 1999. Proceedings of the 1999

Conference_Location

New York, NY

Print_ISBN

0-7803-5573-3

Type

conf

DOI

10.1109/PAC.1999.792923

Filename

792923