Linear dispersion and nonlinear growth of collective free-electron lasers with an electromagnetic-wave wiggler and axial guide field

Journal Article · Thu Mar 01 04:00:00 EST 1990 · Physical Review, A (General Physics); (USA)

DOI:https://doi.org/10.1103/PhysRevA.41.2829· OSTI ID:6961524

Zhang, S ^[1]

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1. China Center of Advanced Science and Technology (World Laboratory), P.O. Box 8730, Beijing, China (CN) Department of Physics, The University of Electronic Science and Technology of China, P.O. Box 83, Chengdu, China

This paper gives a detailed analysis of collective free-electron lasers with a linearly polarized electromagnetic-wave wiggler and axial guide field, where the pump wave (wiggler) is either a fast wave propagating counter to the electron beam or a slow wave propagating parallel to the electron beam. The linear dispersion and nonlinear growth are derived in the laboratory frame for the process of three-wave interaction (the scattered wave, pump wave, and space-charge wave). It is found that the critical condition of the nonlinear growth of the scattered wave for the former wiggler is {omega}{sub {ital c}}{lt}k{sub p}v{sub {ital z}0}+{omega}{sub p}, whereas for the latter wiggler the critical condition is {omega}{sub {ital c}}{gt}{vert bar}k{sub p}v{sub {ital z}0}{minus}{omega}{sub p}{vert bar}, where {omega}{sub {ital c}} and {ital v}{sub {ital z}0} are the electron's initial cyclotron frequency and axial velocity, and {omega}{sub {ital p}} and {ital k}{sub {ital p}} are the frequency and wave number of the pump, respectively. The cases of {omega}{sub {ital c}}{approx}k{sub p}v{sub {ital z}0}+{omega}{sub p} and {omega}{sub {ital c}}{gt}k{sub p}v{sub {ital z}0}+{omega}{sub p} are discussed for a counterpropagating wave pump.

• OSTI ID: 6961524
• Journal Information: Physical Review, A (General Physics); (USA), Journal Name: Physical Review, A (General Physics); (USA) Vol. 41:5; ISSN PLRAA; ISSN 0556-2791
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
426002* -- Engineering-- Lasers & Masers-- (1990-)
BEAMS
DIFFERENTIAL EQUATIONS
DISPERSION RELATIONS
ELECTRICAL EQUIPMENT
ELECTROMAGNETS
ELECTRON BEAMS
ENERGY RANGE
EQUATIONS
EQUATIONS OF MOTION
EQUIPMENT
FREE ELECTRON LASERS
FUNCTIONAL ANALYSIS
LASERS
LEPTON BEAMS
MAGNETS
MATHEMATICS
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE BEAMS
RELATIVISTIC RANGE
WAVE EQUATIONS
WIGGLER MAGNETS