Multiresolution Representation for Orbital Dynamics in Multipolar Fields
Antonina N. Fedorova, Michael G. Zeitlin
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.
Create a lesson
Related papers
Single-pass stochastic cooling for electron microscopy
River Robles, Peter Hommelhoff
Impact of Rapid Acceleration on Beam Dynamics in the Rapid-Cycling Synchrotrons of a Muon Collider
Lisa Soubirou, Antoine Chancé
LADA: A differential algebra-based simulation package for arbitrary-order charged-particle and light optics
Dmitry Varentsov, Sergey Litvinov, Maksym Miski-Oglu et al.
Transverse Confinement in Cascaded Inverse-Cherenkov Acceleration via Phase-Trajectory Control and Injection Matching
Yuanhao Liu, Nanshun Huang, Xionghao Yuan et al.
OPALX: A performance-portable framework for particle accelerator simulations
Michail Zampetakis, Ryan Sean Ammann, Yuanjie Bi et al.
Intrabeam scattering of chirped electron bunches with non-Gaussian longitudinal distributions and slice mismatch
Xiuji Chen, Wencai Cheng, Si Chen et al.