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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.doi:10.1142/s0218202509003395 fatcat:3sfk6eyp4bakvbajckhkyt3xmq