Three-dimensional theory of weakly nonlinear Compton scattering

Journal Article · Sat Jan 15 00:00:00 EST 2011 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.3536457· OSTI ID:21532198

Albert, F; Anderson, S G; Gibson, D J; Marsh, R A; Siders, C W; Barty, C P. J.; Hartemann, F V ^[1]

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1. Lawrence Livermore National Laboratory, Livermore, California 94550 (United States)

Nonlinear effects are known to occur in light sources when the wiggler parameter, or normalized 4-potential, A=e{radical}(-A{sub {mu}}A{sup {mu}})/m{sub 0}c, approaches unity. In this paper, it is shown that nonlinear spectral features can appear at arbitrarily low values of A if the fractional bandwidth of the undulator, {Delta}{phi}{sup -1}, is sufficiently small and satisfies the condition A{sup 2{Delta}{phi}{approx}}1. Consequences for the spectral brightness of Compton scattering light sources are outlined. Compton and Thomson scattering theories are compared with the Klein-Nishina cross-section formula to highlight differences in the case of narrow band gamma-ray operation. A weakly nonlinear Compton scattering theory is developed in one (plane wave) and three (local plane wave approximation) dimensions. Analytical models are presented and benchmarked against numerical calculations solving the Lorentz force equation with a fourth-order Runge-Kutta algorithm. Finally, narrow band gamma-ray spectra are calculated for realistic laser and electron beams.

• OSTI ID: 21532198
• Journal Information: Physics of Plasmas, Vol. 18, Issue 1; Other Information: DOI: 10.1063/1.3536457; (c) 2011 American Institute of Physics; ISSN 1070-664X
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
70 PLASMA PHYSICS AND FUSION TECHNOLOGY
46 INSTRUMENTATION RELATED TO NUCLEAR SCIENCE AND TECHNOLOGY
COMPTON EFFECT
ELECTRON BEAMS
GAMMA SPECTRA
LASERS
LIGHT SOURCES
LORENTZ FORCE
NONLINEAR OPTICS
NONLINEAR PROBLEMS
RUNGE-KUTTA METHOD
THOMSON SCATTERING
THREE-DIMENSIONAL CALCULATIONS
WAVE PROPAGATION
WIGGLER MAGNETS
BASIC INTERACTIONS
BEAMS
CALCULATION METHODS
ELASTIC SCATTERING
ELECTROMAGNETIC INTERACTIONS
EQUIPMENT
INELASTIC SCATTERING
INTERACTIONS
ITERATIVE METHODS
LEPTON BEAMS
MAGNETS
MATHEMATICAL SOLUTIONS
NUMERICAL SOLUTION
OPTICS
PARTICLE BEAMS
RADIATION SOURCES
SCATTERING
SPECTRA