Nonlinear Effects in Accelerator Physics: from Scale to Scale via Wavelets
Michael G. Zeitlin, Antonina N. Fedorova, Zohreh Parsa · APS April Meeting Abstracts · 1998
This is the first part of our two papers in which we present applications of methods from wavelet analysis to polynomial approximations for a number of accelerator physics problems. In the general case we have the solution as a multiresolution expansion in the base of compactly supported wavelet basis. We give extension of our previous results to the case of periodic orbital particle motion in storage rings. Then we consider more flexible variational method which is based on biorthogonal wavelet approach.