Semiclassical investigation of a freeelectron laser
Abstract
A semiclassical theory (employing classical electrodynamics to describe the EMF and relativistic quantum mechanics to describe the electron beam) is developed for the freeelectron laser (FEL). The transverse current of electron probability density is used to couple the Dirac and Maxwell equations, and the helical magnetic wiggler field, the perturbationmatrix elements, the EMF equations, the determination of small signal gain, and the mechanism of gain saturation are investigated. The predictions of the semiclassical theory are found to be in good agreement with those of classical models.
 Publication:

Scientia Sinica Series Mathematical Physical Technical Sciences
 Pub Date:
 March 1986
 Bibcode:
 1986SSSMP..29..290F
 Keywords:

 Electromagnetic Fields;
 Free Electron Lasers;
 Quantum Mechanics;
 Relativistic Electron Beams;
 Dirac Equation;
 Maxwell Equation;
 Power Gain;
 Wave Functions;
 Wiggler Magnets;
 Lasers and Masers