Classical and Quantum Approaches to the Free Electron Laser
Abstract
The classical spontaneous emission from relativistic electrons injected into conventional and tapered free electron lasers undulators is investigated both theoretically, by solving the relative equations of motion, and numerically, using the obtained results. The evolution of the optical field in the undulator's cavity is analyzed both quantum mechanically, by solving perturbatively the Dirac equation in the laboratory frame and the Schrodinger equation in a relativistic moving frame. The classical aspect of the results obtained is emphasized. The evolution of the fields is then studied classically for electron beams with a realistic energy and angular spread. The relative gain formulas are then derived and compared to the formula found both classically and quantummechanically in the previous chapters.
 Publication:

Ph.D. Thesis
 Pub Date:
 December 1985
 Bibcode:
 1985PhDT........54B
 Keywords:

 RADIATION;
 OPTICS;
 ACCELERATORS;
 Physics: Radiation;
 Classical Mechanics;
 Free Electron Lasers;
 Quantum Mechanics;
 Relativistic Electron Beams;
 Dirac Equation;
 Equations Of Motion;
 Schroedinger Equation;
 Lasers and Masers