Resonance effects for an electron moving in the Redmond field

Exact expressions are obtained for the energy of an electron in the field of a circularly polarized plane electromagnetic wave and a constant magnetic field with allowance for boundary conditions in the case of self-resonance for a medium with refractive index of unity. These expressions can be used to represent in explicit form the dependence of the change in the electron energy on the length of the interaction region and determine the conditions for reflection of particles. The simplest model of a beam is used, and a condition found for the existence and efficiency of the maser effect in a field of a given type.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 6, pp. 42–47, June, 1980.