Computer Algorithm for Longitudinal Single Bunch Stability Study in a Storage Ring
Author(s) -
S. Novokhatski
Publication year - 2005
Publication title -
osti oai (u.s. department of energy office of scientific and technical information)
Language(s) - English
Resource type - Reports
DOI - 10.2172/890304
Subject(s) - storage ring , bunches , stability (learning theory) , distortion (music) , nonlinear system , function (biology) , field (mathematics) , physics , algorithm , space (punctuation) , finite difference , computer science , mathematics , mathematical analysis , optics , quantum mechanics , telecommunications , beam (structure) , bandwidth (computing) , operating system , evolutionary biology , pure mathematics , amplifier , machine learning , biology
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
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