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.
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 -.