Stratonovich expansion and beam-beam interaction

Author

Hirata, Kohji

Author_Institution

CERN, Geneva, Switzerland

fYear

1989

fDate

20-23 Mar 1989

Firstpage

1809

Abstract

A general approach is proposed for the study of coherent phenomena in electron storage rings due to a localized nonlinear force. The approach is based on expanding the distribution function into a series using generalized Hermite polynomials in two dimensions (Stratonovich expansion). When the series is terminated at the lowest order, it gives the Gaussian approximation. The approach is applied to strong-strong and weak-strong beam-beam interactions in e⁺e^- colliding storage rings at the next-to-lowest order approximation and shows improved quantitative agreement with the multiparticle tracking

Keywords

beam handling techniques; electron accelerators; polynomials; storage rings; Gaussian approximation; Hermite polynomials; Stratonovich expansion; beam-beam interaction; coherent phenomena; distribution function; electron storage rings; localized nonlinear force; multiparticle tracking; next-to-lowest order approximation; series; two dimensions; Damping; Distribution functions; Electrons; Gaussian approximation; Gaussian distribution; H infinity control; Laboratories; Polynomials; Radiation effects; Storage rings;

fLanguage

English

Publisher

ieee

Conference_Titel

Particle Accelerator Conference, 1989. Accelerator Science and Technology., Proceedings of the 1989 IEEE

Conference_Location

Chicago, IL

Type

conf

DOI

10.1109/PAC.1989.72932

Filename

72932