Abstract
We consider electron scattering by hydrogen atoms in abichromatic linearly polarized laser field of frequencies ω and3ω and we discuss the coherent control of the scattering processas a function of the relative phase φ between the two componentsof the radiation field. The electrons are assumed to have sufficiently highenergies in order to permit the description of the scattering process inthe first-order Born approximation. The scattered electrons, embedded inthe bichromatic laser field of moderate power, as well as thelaser dressing of the hydrogen atoms in their ground state are describedby time-dependent perturbation theory. We discuss the angular dependenceof the nonlinear differential scattering cross sections for the low valuesN = ±2 of absorbed or emitted laser photons as a function of therelative phase φ between the two radiation field components. Wealso compare our results with those obtained from the assumption of astatic potential describing the target atom.
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