Emission spectrum and trajectory of a charged particle in the field of an inhomogeneous electromagnetic wave

Using the example of a non-uniform electromagnetic wave created by superposition of two plane monochromatic electromagnetic waves that are arbitrarily directed relative to each other, an approach is demonstrated that allows one to simulate a wide spectrum of electromagnetic waves. The complete system of equations describing the motion of an electron in a non-uniform electromagnetic field is solved numerically. The features of the trajectory and emission spectrum of the electron were found and investigated.