  This work is devoted to the numerical simulation of a Vlasov-Poisson model
describing a charged particle beam under the action of a rapidly oscillating
external electric field. We construct an Asymptotic Preserving numerical scheme
for this kinetic equation in the highly oscillatory limit. This scheme enables
to simulate the problem without using any time step refinement technique.
Moreover, since our numerical method is not based on the derivation of the
simulation of asymptotic models, it works in the regime where the solution does
not oscillate rapidly, and in the highly oscillatory regime as well. Our method
is based on a "double-scale" reformulation of the initial equation, with the
introduction of an additional periodic variable.
