Introduction to the theory of free electron lasers

Conference · Wed Feb 25 00:00:00 EST 1987 · AIP Conf. Proc.; (United States)

OSTI ID:5525135

Krinsky, S

We present an introduction to some fundamental aspects of the theory of free electron lasers. Spontaneous radiation emitted by electron traversing a wiggler magnet is briefly reviewed, and stimulated emission in the low-gain regime is discussed using Colson's pendulum equations and Madey's theorems. The high-gain regime is treated by an extension of the work of Bonifacio, Pellegrini, and Narducci. We introduce dynamical variables to describe the radiation field, and a Hamiltonian formulation of Maxwell's equations is employed. A canonical transformation to the interaction representation factors out the fast time variation of the radiation field, and the slow time dependence is determined by linearized equations for the appropriate collective variables. As an application of this technique we consider self-amplified spontaneous radiation, and we comment upon the relationship between our approach and the use of coupled Vlasov--Maxwell equations.

• Research Organization: National Synchrotron Light Source, Brookhaven National Laboratory, Upton, NY 11973
• OSTI ID: 5525135
• Report Number(s): CONF-850771-
• Journal Information: AIP Conf. Proc.; (United States), Vol. 153:1; Conference: SLAC summer school on the physics of high energy particle accelerators, Stanford, CA, USA, 15 Jul 1985
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
FREE ELECTRON LASERS
MATHEMATICAL MODELS
WIGGLER MAGNETS
MAGNETIC FIELDS
ELECTRON BEAMS
HAMILTONIANS
MAXWELL EQUATIONS
SYNCHROTRON RADIATION
BEAMS
BREMSSTRAHLUNG
DIFFERENTIAL EQUATIONS
ELECTRICAL EQUIPMENT
ELECTROMAGNETIC RADIATION
ELECTROMAGNETS
EQUATIONS
EQUIPMENT
LASERS
LEPTON BEAMS
MAGNETS
MATHEMATICAL OPERATORS
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE BEAMS
QUANTUM OPERATORS
RADIATIONS
420300* - Engineering- Lasers- (-1989)