LONG TIME SIMULATION OF A BEAM IN A PERIODIC FOCUSING CHANNEL VIA A TWO-SCALE PIC-METHOD
Emmanuel Frénod, Francesco Salvarani, Éric Sonnendrücker · Mathematical Models and Methods in Applied Sciences · 2009
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.