Radiation emitted by an electron in the field of two linearly polarized electromagnetic waves

A theoretical analysis is made of the radiation emitted by an electron moving in the field of two plane linearly polarized electromagnetic waves of arbitrary intensity. These waves are of frequencies ω₁ and ω₂ and they travel in the same direction. The general solution of the problem obtained by a classical analysis makes it possible to find the angular distribution of the intensity of the radiation emitted at any one of the combination frequencies ω_k = k₁ω₁ + k₂ω₂. Equations are obtained for the intensities of the sum and difference frequency radiations in the case of low intensities of the incident waves.