CYCLOTRONS-2001, Abstract 3

Fedorova A.N., Zeitlin M.G.

PARTICLE MOTION IN MULTIPOLAR FIELDS: MODELLING VIA LOCALIZATION

We present applications of methods from nonlinear local Fourier analysis or wavelet analysis to calculations of nonlinear motions in arbitrary n-pole fields. Our approach is based on methods provided possibility to work with dynamical beam/particle localization in phase space. Consideration of orbital dynamics in multipolar fields and orbital motion in storage rings is based on variational approach to polynomial (in dynamical variables) approximation (up to any order)for magnets which gives the posiibility to represent nonlinear dynamics via exact nonlinear high-localized (eigen)mode expansions and allows us to control contribution to motion from each scale of underlying multiscale structure [1]-[3].

[1]A.Fedorova,M.Zeitlin,EPAC00,415,872,1101,1190, 1339,2325.
[2].A.Fedorova,M.Zeitlin,PAC99,1614,1617,1620, 2900,2903,2906,2909,2912.
[3].A.Fedorova,M.Zeitlin, AIP Conf.Proc., CP 468, 48,69,1999, CP 405,87,1997.