In recent years new high-intensity subpicosecond lasers allowed to investigate property of matter in ultrahigh electromagnetic fields. In this work the electron motion equations in field of three orthogonal standing waves is being solved. This solution was obtained by method of average Hamiltonian, when the electron velocity in laser field vE equals eE0/m(omega) is less than light velocity c ((omega) - laser frequency).
Alexander A. Andreev,
Konstantin Y. Platonov,
"Interaction of intense intersecting laser beams with electron bunch", Proc. SPIE 2097, Laser Applications, (10 August 1994); doi: 10.1117/12.183171; https://doi.org/10.1117/12.183171