Computer Algorithm for Longitudinal Single Bunch Stability Study in a Storage Ring

Novokhatski, Sasha

Stanford Linear Accelerator Center

关键词: Diffusion;    Accelerators,Accphy;    Computers;    43 Particle Accelerators;    Distribution Functions;   

DOI  :  10.2172/890304
RP-ID  :  SLAC-PUB-11251
RP-ID  :  AC02-76SF00515
RP-ID  :  890304

美国|英语

来源: UNT Digital Library

【 摘 要 】

We propose a new method for simulation study of the nonlinear interaction of a single bunch and accelerator vacuum chamber elements. We numerically solve the Fokker-Planck time-domain equation for the phase-space distribution function. Original implicit finite-difference scheme is used. The method is very stable and free of the ''numerical'' diffusion, distortion, or modulation. We introduce quasi-Green function to describe the wake field potentials of bunches of any shape. This allows to get high definition resolution of the bunch particle distribution. We present results and comparison for different kind of instabilities.