English

Long time simulation of a beam in a periodic focusing channel via a two-scale PIC-method

Numerical Analysis 2009-12-25 v1

Abstract

We study the two-scale asymptotics for a charged beam under the action of a rapidly oscillating external electric field. After proving the convergence to the correct asymptotic state, we develop a numerical method for solving the limit model involving two time scales and validate its efficiency for the simulation of long time beam evolution.

Keywords

Cite

@article{arxiv.0710.3983,
  title  = {Long time simulation of a beam in a periodic focusing channel via a two-scale PIC-method},
  author = {Emmanuel Frénod and Francesco Salvarani and Eric Sonnendrücker},
  journal= {arXiv preprint arXiv:0710.3983},
  year   = {2009}
}