Orbital Beam Dynamics in Multipole Fields via Multiscale Expansions

Details Orbital Beam Dynamics in Multipole Fields via Multiscale Expansions Orbital Beam Dynamics in Multipole Fields via Multiscale Expansions

2001-06-02

arxiv.org/abs/physics/0106010v1

Conf.Proc.C0106181:1790-1792,2001

Physics

Accelerator Physics

3 pages, 2 figures, JAC2001.cls, submitted to Proc. Particle Accelerator Conference (PAC 2001), Chicago, June 18-22, 2001

Scientific paper

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.

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