Abstract
Nonrelativistic quantum field theory has been used to calculate the scattering cross-sections for the summation and beat frequencies when two electromagnetic waves are simultaneously incident on free electrons. The results, which differ from those of Fried and Frank, are supported by the authors’ classical results. When the ratio of the two frequencies is small, the scattering cross-sections of the summation and beat frequencies which now become almost the same as the larger of the two frequencies are enormous. The scattering cross-section therefore increases in the presence of a low-frequency, high-intensity wave. This fact may enable one to reduce the time of exposure of sensitive films in X-ray scattering experiments by irradiating simultaneously the scatterer by a maser beam also.
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