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Light polarization effects in laser-assisted elastic electron-helium collisions: a Sturmian approach

We study the scattering of fast electrons by atoms in the presence of a strong laser field. Our method takes into account the `dressing' of the target states by including the laser-atom interaction to first order, while the laser-projectile interaction is treated to all orders. The interaction of the fast incident electron with the target atom is treated in the first-Born approximation. Detailed calculations are performed for the `elastic' scattering of 500 eV electrons by helium accompanied by the transfer of photons. We discuss the influence of the laser polarization on the differential cross sections as a function of the scattering angle, laser frequency and intensity.