Orbital Beam Dynamics in Multipole Fields via Multiscale Expansions
Accelerator Physics
2008-11-26 v1 Mathematical Physics
math.MP
Pattern Formation and Solitons
Computational Physics
Quantum Physics
Abstract
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.
Cite
@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}
}
Comments
3 pages, 2 figures, JAC2001.cls, submitted to Proc. Particle Accelerator Conference (PAC 2001), Chicago, June 18-22, 2001