Classical and quantum treatment of amplifier and superradiant freeelectron laser dynamics
Abstract
The quantum initiation for freeelectron lasers is defined, and the collective instability threshold starting from the electron position and the momentum quantum fluctuations is derived. The Glauber distribution P(alpha) for the field is obtained, i.e., a displaced Gaussian, which represents the superposition of a coherent field (stimulated emission) and an incoherent one (spontaneous emission). The concept of superradiance for freeelectron lasers is defined, both in a classical framework and at a quantum statistical level, stating the conditions under which the effect should be observed.
 Publication:

Journal of the Optical Society of America B Optical Physics
 Pub Date:
 January 1985
 DOI:
 10.1364/JOSAB.2.000250
 Bibcode:
 1985JOSAB...2..250B
 Keywords:

 Free Electron Lasers;
 Glauber Theory;
 Laser Outputs;
 Quantum Amplifiers;
 Relativistic Electron Beams;
 Electron Energy;
 Hamiltonian Functions;
 Lorentz Transformations;
 Maxwell Equation;
 Poisson Density Functions;
 Thomson Scattering;
 Lasers and Masers;
 LASERS: FREEELECTRON;
 LASER INSTABILITIES