Nonlinear Accelerator Problems via Wavelets: 1. Orbital Motion in Storage Rings
Antonina N. Fedorova, Michael G. Zeitlin
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.
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