Quantum multimode analysis of the free-electron laser

Journal Article · Sat Jun 01 04:00:00 EDT 1985 · Phys. Rev. A; (United States)

DOI:https://doi.org/10.1103/PhysRevA.31.3755· OSTI ID:5488913

Dattoli, G; Gallardo, J; Torre, A

In this paper we discuss a longitudinal multimode quantum theory of the free-electron laser (FEL) within the framework of a nonrelativistic Hamiltonian. Furthermore, we study the evolution of the radiation field starting from the vacuum state and present the analytical expression in first order in the electron recoil of the probability amplitude of finding l/sub j/ photons in the longitudinal jth mode. In conclusion we show the possibility of a self-consistent formalism adequate for numerical calculations to evaluate the evolution of the FEL radiation field from the quantum to the classical regime.

• Research Organization: Quantum Institute, University of California, Santa Barbara, Santa Barbara, California 93106
• OSTI ID: 5488913
• Journal Information: Phys. Rev. A; (United States), Journal Name: Phys. Rev. A; (United States) Vol. 31:6; ISSN PLRAA
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
420300* -- Engineering-- Lasers-- (-1989)
ANALYTICAL SOLUTION
CLASSICAL MECHANICS
DIFFERENTIAL EQUATIONS
ELECTRODYNAMICS
ELECTROMAGNETIC FIELDS
EMISSION
EQUATIONS
FIELD THEORIES
FREE ELECTRON LASERS
LASERS
MECHANICS
PARTIAL DIFFERENTIAL EQUATIONS
PHOTON EMISSION
QUANTUM ELECTRODYNAMICS
QUANTUM FIELD THEORY
SCHROEDINGER EQUATION
VACUUM STATES
WAVE EQUATIONS
WAVE PACKETS