The Gain in the Field of Two Electromagnetic Waves

TL;DR

This paper analyzes the interaction of a nonrelativistic electron with two counterpropagating monochromatic light waves, deriving emission and absorption matrix elements and an expression for the gain of a test wave.

Contribution

It introduces a new theoretical framework for calculating gain in a system involving two strong electromagnetic waves and a nonrelativistic electron.

Findings

Derived matrix elements for emission and absorption processes.

Obtained an expression for the gain of a weak test wave.

Provided insights into wave-electron interactions in combined fields.

Abstract

We consider the motion of a nonrelativistic electron in the field of two strong monochromatic light waves propagating counter to each other. The matrix elements of emission and absorption are found. An expression is obtained for the gain of a weak test wave by using such matrix elements.