Nonlinear analysis of the free-electron lasers utilizing a linear wiggler field

Journal Article · Fri May 01 04:00:00 EDT 1981 · J. Appl. Phys.; (United States)

DOI:https://doi.org/10.1063/1.329169· OSTI ID:6340678

Tang, C; Sprangle, P

A one-dimensional steady-state FEL amplifier, utilizing a linearly polarized magnetic wiggler field, is analyzed in the linear and nonlinear operating regimes. Our formulation of the FEL problem includes all the efficiency-enhancement schemes, electron-beam thermal effects and collective effects, i.e., space-charge waves. The axial electron velocity, due to a linearly polarized wiggler field, has a spatially oscillatory component. It is shown that this axial velocity jiggle does not result in phase incoherence between the electrons and the ponderomotive wave. The axial velocity jiggle is explicitly incorporated into our analytical model. The inclusion of the electron jiggle velocity is shown to have a quantitative effect on the nonlinear-wave-particle dynamics. The electron-trapping potential associated with the ponderomotive wave is also derived. Finally, a number of numerical examples pertinent to the design of a 10-..mu..m FEL amplifier are presented.

• Research Organization: Plasma Physics Division, U. S. Naval Research Lab, Washington, D. C. 20375
• OSTI ID: 6340678
• Journal Information: J. Appl. Phys.; (United States), Journal Name: J. Appl. Phys.; (United States) Vol. 52:5; ISSN JAPIA
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
420300* -- Engineering-- Lasers-- (-1989)
BEAMS
DESIGN
DISTRIBUTION
EFFICIENCY
ELECTRICAL EQUIPMENT
ELECTROMAGNETS
ELECTRON BEAMS
ELECTRONS
ELEMENTARY PARTICLES
EQUIPMENT
FERMIONS
FREE ELECTRON LASERS
LASERS
LEPTON BEAMS
LEPTONS
MAGNETIC FIELDS
MAGNETS
MATHEMATICAL MODELS
NONLINEAR PROBLEMS
OSCILLATION MODES
PARTICLE BEAMS
POLARIZATION
SPACE CHARGE
SPATIAL DISTRIBUTION
TRAPPING
WIGGLER MAGNETS