Scattering of Electron by Hydrogen Atom in the Presence of Two Laser Fields

Abstract

In the framework of first Born approximation, elastic scattering of electron by hydrogen atom has been studied in the presence of two homogeneous, single mode and linearly polarized laser fields. One of the two fields has been chosen to be weak with respect to the other field. The radiation fields have been treated classically in the dipole approximation. The dressed wavefunctions of the bound states of the target have been constructed using first order time-dependent perturbation theory while the laser modified incident and scattered electron wave functions are given by Volkov solutions. Differential scattering cross-sections corresponding to one weak field photon emission have been calculated for different geometrical configurations of the applied laser fields with respect to incident electron momentum as well as the momentum transfer. The dependence of the cross-section results on the different geometrical situations and also on the laser field parameters has been explored. The influence of the introduction of the second laser field has also been investigated.