Simplified analysis of freeelectron lasers using Madey's theorem
Abstract
Spontaneous and stimulated emission calculations are made for various freeelectron laser (FEL) configurations by using Madey's theorem. An analogy is provided between the FEL and a phased antenna array, and it is used to simplify the calculations. Relations for the spontaneous and stimulated emission are derived for the uniform wiggler FEL, the optical klystron, the case of N wiggler sections cascaded through dispersive sections, and for harmonics in a planar wiggler FEL.
 Publication:

IEEE Journal of Quantum Electronics
 Pub Date:
 July 1985
 DOI:
 10.1109/JQE.1985.1072775
 Bibcode:
 1985IJQE...21..944G
 Keywords:

 Electron Trajectories;
 Free Electron Lasers;
 Laser Outputs;
 Magnetic Fields;
 Spontaneous Emission;
 Stimulated Emission;
 Antenna Arrays;
 Harmonics;
 Klystrons;
 Phased Arrays;
 Wiggler Magnets;
 Lasers and Masers