Classical and quantum approaches to the free-electron laser
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 Schroedinger 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 quantum-mechanically in the previous chapters.
- Research Organization:
- California Univ., Santa Barbara (USA)
- OSTI ID:
- 5500848
- Resource Relation:
- Other Information: Thesis (Ph. D.)
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
FREE ELECTRON LASERS
ELECTRON REACTIONS
CLASSICAL MECHANICS
DIRAC EQUATION
EMISSION
QUANTUM MECHANICS
RELATIVISTIC RANGE
SCHROEDINGER EQUATION
CHARGED-PARTICLE REACTIONS
DIFFERENTIAL EQUATIONS
ENERGY RANGE
EQUATIONS
LASERS
LEPTON REACTIONS
MECHANICS
NUCLEAR REACTIONS
PARTIAL DIFFERENTIAL EQUATIONS
WAVE EQUATIONS
420300* - Engineering- Lasers- (-1989)
657002 - Theoretical & Mathematical Physics- Classical & Quantum Mechanics