Abstract
Following the Landau–Lifshitz scheme, we describe a new analytical method for solving in closed form, the dynamics of an ultrarelativistic electron accelerated by the electric field of a highly intense circularly polarized shaped laser pulse. The procedure here shown can be generalized for the case of a laser pulse having arbitrary polarization. With the purpose of not only testing but assessing the accuracy of the analytical method developed, we integrated numerically the dynamic equations of a single charged particle for the case of a wave train, together with the concomitant comparison with an alternative analytical method previously published in the literature.
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