An analysis of the Transverse Optical Klystron (TOK) and the Free Electron Laser (FEL) through the exact solution of their evolution equation
Abstract
We give the exact analytical solution of the evolution equation of an electron beam interacting in a wiggler with an electromagnetic wave. The initial energy distribution is assumed both monochromatic and gaussian. Furthermore, the evolution in a drift space is considered. Some basic characteristics of the FEL and TOK are derived from the mathematical properties of the solution.
 Publication:

Optics Communications
 Pub Date:
 February 1981
 DOI:
 10.1016/00304018(81)903886
 Bibcode:
 1981OptCo..36..337B
 Keywords:

 Electromagnetic Interactions;
 Electron Beams;
 Electron Bunching;
 Free Electron Lasers;
 Klystrons;
 Energy Distribution;
 Lasing;
 Phase Velocity;
 Stimulated Emission;
 Vlasov Equations;
 Lasers and Masers