“…Recently the application of this process has received a growing importance in various branches of research aiming, for instance, the generation of ultrashort (even attosecond) electron pulses [2,3,4], four-dimensional imaging and ultrafast electron microscopy [5,6], or photon-induced near field electron microscopy [7,8,9]. The theoretical description of laser-assisted scattering processes of charged particles relies on the non-perturbative treatment of the interaction with the laser field [10,11,12], which is usually based on the Volkov states being modified de Broglie plane waves. The exact analytic treatment of this problem has already been carried out in an earlier study by one of the authors [10], and several closed-form results have been derived there.…”