Orbital Beam Dynamics in Multipole Fields via Multiscale Expansions
加速器物理
2008-11-26 v1 数学物理
math.MP
斑图形成与孤子
计算物理
量子物理
摘要
We present the applications of methods from nonlinear local harmonic analysis in variational framework to calculations of nonlinear motions in polynomial/rational approximations (up to any order) of arbitrary n-pole fields. Our approach is based on the methods provided possibility to work with dynamical beam/particle localization in phase space, which gives representions via exact nonlinear high-localized eigenmodes expansions and allows to control contribution to motion from each scale of underlying multiscale structure.
引用
@article{arxiv.physics/0106010,
title = {Orbital Beam Dynamics in Multipole Fields via Multiscale Expansions},
author = {Antonina N. Fedorova and Michael G. Zeitlin},
journal= {arXiv preprint arXiv:physics/0106010},
year = {2008}
}
备注
3 pages, 2 figures, JAC2001.cls, submitted to Proc. Particle Accelerator Conference (PAC 2001), Chicago, June 18-22, 2001