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Orbital Beam Dynamics in Multipole Fields via Multiscale Expansions

Antonina N. Fedorova·Michael G. Zeitlin
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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.

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Antonina N. Fedorova, Michael G. Zeitlin. 2001-06-02. Orbital Beam Dynamics in Multipole Fields via Multiscale Expansions. https://arxiv.org/abs/physics/0106010

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