The light amplification effect in the process of an electron scattering on a nucleus in a strong laser field

The amplification of light (the Marcuse effect) in the scattering of an electron by a nucleus in the field of a plane electromagnetic wave has been studied for a long time. In the nonrelativistic case, the gain coefficient of electromagnetic coherent radiation in the process of an electron scattering on a nucleus in the field of two circularly polarized light waves propagating in one direction is theoretically investigated. The study was realized in two essentially different kinematical regions: the noninterference region, where the Bunkin-Fedorov quantum parameters play the role of multiphoton parameters, and the interference region, where interference effects are important and where quantum interference parameter is treated as multiphoton parameter. It is shown, that in the interference region the amplification of electromagnetic radiation takes place. The recommendations for practical usage of the light amplification effects are given.