Potential scattering of electrons in the presence of intense laser fields using the Kramers-Henneberger transformation

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Abstract
The Kramers-Henneberger transformation is used to treat potential scattering of electrons in the presence of a strong laser field. As a first step, the one-dimensional scattering by a polarization potential is considered. It is shown that the static part of the effective potential, often called the dressed potential, may support more bound states than the original potential depending on the intensity and frequency of the field. Exact results for the transmission and reflection coefficients are presented and two approximations are discussed: A perturbative approach based on the above transformation and the adiabatic approximation.