Title :
Orbital beam dynamics in multipole fields via multiscale expansions
Author :
Fedorova, Antonina N. ; Zeitlin, Michael G.
Author_Institution :
IPME, Acad. of Sci., St. Petersburg, Russia
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
Keywords :
eigenvalues and eigenfunctions; harmonic analysis; nonlinear dynamical systems; particle beam dynamics; polynomials; variational techniques; dynamical beam localization; multipole fields; multiscale expansions; multiscale structure; nonlinear high-localized eigenmodes expansions; nonlinear local harmonic analysis; nonlinear motions; orbital beam dynamics; polynomial approximations; variational framework; Differential equations; Harmonic analysis; Lattices; Magnetic analysis; Motion analysis; Nonlinear equations; Particle beams; Polynomials; Storage rings; Wavelet analysis;
Conference_Titel :
Particle Accelerator Conference, 2001. PAC 2001. Proceedings of the 2001
Conference_Location :
Chicago, IL
Print_ISBN :
0-7803-7191-7
DOI :
10.1109/PAC.2001.987184
