Title :
Stratonovich expansion and beam-beam interaction
Author_Institution :
CERN, Geneva, Switzerland
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;
Conference_Titel :
Particle Accelerator Conference, 1989. Accelerator Science and Technology., Proceedings of the 1989 IEEE
Conference_Location :
Chicago, IL
DOI :
10.1109/PAC.1989.72932