Title :
Nonlinear accelerator problems via wavelets. II. Effects of insertion devices on beam dynamics
Author :
Fedorova, A. ; Zeitlin, M.
Author_Institution :
IPME, RAS, St. Petersburg, Russia
fDate :
6/21/1905 12:00:00 AM
Abstract :
For pt.II see ibid., p.2900 (1999). 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, assuming a sinusoidal field variation, we consider the analytical treatment of the effects of insertion devices on beam dynamics. We investigate via the wavelet approach a dynamical model which has polynomial nonlinearities and variable coefficients. We construct the corresponding wavelet representation. As examples we consider wigglers and undulator magnets. We consider the further modification of our variational approach which may be applied in each scale
Keywords :
particle beam dynamics; polynomial approximation; variational techniques; wavelet transforms; wigglers; accelerator physics; beam dynamics; insertion devices; polynomial approximation; sinusoidal field; undulator magnet; variational; wavelet analysis; wiggler; Chaos; Magnetic analysis; Magnetic fields; Magnets; Nonlinear equations; Particle beams; Physics; Polynomials; Undulators; Wavelet analysis;
Conference_Titel :
Particle Accelerator Conference, 1999. Proceedings of the 1999
Print_ISBN :
0-7803-5573-3
DOI :
10.1109/PAC.1999.792977