The freeelectron laser  Maxwell's equations driven by singleparticle currents
Abstract
It is shown that if single particle currents are coupled to Maxwell's equations, the resulting set of selfconsistent nonlinear equations describes the evolution of the electron beam and the amplitude and phase of the freeelectronlaser field. The formulation is based on the slowly varying amplitude and phase approximation, and the distinction between microscopic and macroscopic scales, which distinguishes the microscopic bunching from the macroscopic pulse propagation. The capabilities of this new theoretical approach become apparent when its predictions for the ultrashort pulse freeelectron laser are compared to experimental data; the optical pulse evolution, determined simply and accurately, agrees well with observations.
 Publication:

FreeElectron Generators of Coherent Radiation
 Pub Date:
 1980
 Bibcode:
 1980fegc.proc..377C
 Keywords:

 Beam Currents;
 Free Electron Lasers;
 Laser Outputs;
 Maxwell Equation;
 Relativistic Electron Beams;
 Angular Velocity;
 Electron Energy;
 Energy Distribution;
 Laser Cavities;
 Laser Outputs;
 Nonlinear Equations;
 Optical Resonators;
 Oscillators;
 Power Gain;
 Pulsed Lasers;
 Lasers and Masers