Multiresolution Representation for Orbital Dynamics in Multipolar Fields
Accelerator Physics
2007-05-23 v1 Mathematical Physics
math.MP
Pattern Formation and Solitons
Computational Physics
Abstract
We present the applications of variation -- wavelet analysis to polynomial/rational approximations for orbital motion in transverse plane for a single particle in a circular magnetic lattice in case when we take into account multipolar expansion up to an arbitrary finite number and additional kick terms. We reduce initial dynamical problem to the finite number (equal to the number of n-poles) of standard algebraical problems. We have the solution as a multiresolution (multiscales) expansion in the base of compactly supported wavelet basis.
Keywords
Cite
@article{arxiv.physics/0008045,
title = {Multiresolution Representation for Orbital Dynamics in Multipolar Fields},
author = {Antonina N. Fedorova and Michael G. Zeitlin},
journal= {arXiv preprint arXiv:physics/0008045},
year = {2007}
}
Comments
3 pages, 3 figures, JAC2000.cls, Proc. European Particle Accelerator Conf., EPAC00, Vienna, 2000