Analysis of electron motion and energy in laser standing wave

The motion and energy of electron in linearly polarized laser standing wave field are calculated with the relativistic Lorentz equation. The results show that there is a critical electron energy, and the balancing position of electron oscillation changes from nodes to antinodes at the incident electron energy in excess of the critical energy. At the incidence of antinode plane parallel to the electric field, the high energy electron is driven by the strong electric filed and the velocity and energy of the electron has a fast oscillation with the amplitude envelope as a cosine structure. The electron, however, is driven by the Lorentz field at the incidence of the node plane vertical to the magnetic field. The electron oscillates, gaining and losing energy in front and behind the standing w