Nonresonant scattering of a photon by an electron in the pulsed electromagnetic field

The nonresonant scattering of a photon by an electron (Compton scattering) in the field of a pulsed light wave is investigated theoretically. The approximation when a pulsewidth is considerably greater than the characteristic time of the wave oscillation is considered. The analytical expressions for the amplitude and cross-section of mentioned process are derived. It is concluded, that the total cross-section of scattering of a photon by an electron in the field of pulsed light wave differs essentially from the cross-section of Compton scattering in the field of plane monochromatic wave.