Title :
Nonlinear accelerator problems via wavelets. 1. Orbital motion in storage rings
Author :
Fedorova, A. ; Zeitlin, M.
Author_Institution :
Acad. of Sci., St. Petersburg, Russia
Abstract :
In this series of eight papers we present the applications of methods from wavelet analysis to polynomial approximations for a number of accelerator physics problems. In this part, according to variational approach we obtain a representation for orbital particle motion in storage rings as a multiresolution (multiscales) expansion in the base of well-localized in phase space wavelet basis. By means of this “wavelet microscope” technique we can take into account contribution from each scale of resolution
Keywords :
particle beam dynamics; polynomial approximation; storage rings; variational techniques; wavelet transforms; multiresolution expansion; multiscales expansion; nonlinear accelerator problems; orbital motion; phase space wavelet basis; polynomial approximations; storage rings; variational approach; wavelet microscope; Chaos; Equations; Linearity; Microscopy; Motion analysis; Particle accelerators; Physics; Polynomials; Storage rings; Wavelet analysis;
Conference_Titel :
Particle Accelerator Conference, 1999. Proceedings of the 1999
Conference_Location :
New York, NY
Print_ISBN :
0-7803-5573-3
DOI :
10.1109/PAC.1999.794198
