Nonlinear Dynamics of High-Brightness Beams
Accelerator Physics
2007-05-23 v1 Mathematical Physics
math.MP
Pattern Formation and Solitons
Computational Physics
Quantum Physics
Abstract
The consideration of transverse dynamics of relativistic space-charge dominated beams and halo growth due to bunch oscillations is based on variational approach to rational (in dynamical variables) approximation for rms envelope equations. It allows to control contribution from each scale of underlying multiscales and represent solutions via exact nonlinear eigenmodes expansions. Our approach is based on methods provided possibility to work with well-localized bases in phase space and good convergence properties of the corresponding expansions.
Cite
@article{arxiv.physics/0106009,
title = {Nonlinear Dynamics of High-Brightness Beams},
author = {Antonina N. Fedorova and Michael G. Zeitlin},
journal= {arXiv preprint arXiv:physics/0106009},
year = {2007}
}
Comments
3 pages, 2 figures, JAC2001.cls, submitted to Proc. Particle Accelerator Conference (PAC 2001), Chicago, June 18-22, 2001