1999/04/21 by Antonina N. Fedorova, Fedorova, Antonina N., Michael G. Zeitlin +1
Computer Science · Mathematics · Physics and Astronomy · #Accelerator Physics (physics.acc-ph) #Chaotic Dynamics (nlin.CD) #Computational Physics (physics.comp-ph) #FOS: Physical sciences #Image and Signal Denoising Methods #Mathematical Physics (math-ph) #chao-dyn #math-ph #math.MP #nlin.CD #physics.acc-ph #physics.comp-ph
paper · pdf · doi:10.48550/arxiv.physics/9904041
LaTeX2e, 2 figures, pac99.cls, Proceedings PAC99
arxiv created 1999/04/21 · openalex publication_date 1999/04/21 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 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.