Long time simulation of a beam in a periodic focusing channel via a two-scale PIC-method
arXiv:0710.398353 citationsh-index: 18
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Provides a numerical method for efficiently simulating charged beams under rapidly oscillating fields, relevant to accelerator physics.
The authors developed a two-scale PIC method for simulating long-time beam evolution in a periodic focusing channel, proving convergence to the correct asymptotic state and validating efficiency for long time simulations.
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.