Influence of transverse dc self-fields of the electron beam on the dispersion relation in a free-electron laser with an axial magnetic field

Journal Article · Sun Oct 15 04:00:00 EDT 1989 · Journal of Applied Physics; (USA)

DOI:https://doi.org/10.1063/1.344480· OSTI ID:5477568

Zhang, S ^[1]; Zhang, Z ^[2]

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

This paper presents an analytical dispersion equation for a free-electron laser (FEL) with an axial magnetic field, where both the influence of the transverse dc self-fields of the electron beam and the three-dimensional effect of the wiggler are taken into account. Not only FEL mode but also two hybrid modes of FEL with the right- and left-hand circularly polarized cyclotron waves, {omega}=({ital k}{sub {parallel}}+({ital m}{minus}1){ital k}{sub {ital w}}){ital v}{sub {parallel}}+{Omega}{sub 0} and {omega}=({ital k}{sub {parallel}}+({ital m}+1){ital k}{sub {ital w}}){ital v}{sub {parallel}}{minus}{Omega}{sub 0}, appear in the dispersion equation. Numerical analysis shows that these self-fields decrease the growth rate of the FEL mode but increase the growth rate of the hybrid mode. Two special cases, a high-current gyrotron (i.e., without a wiggler) and a cyclotron autoresonance maser with a phase filter'' (i.e., with a weak wiggler), are also discussed.

• OSTI ID: 5477568
• Journal Information: Journal of Applied Physics; (USA), Journal Name: Journal of Applied Physics; (USA) Vol. 66:8; ISSN 0021-8979; ISSN JAPIA
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
420300* -- Engineering-- Lasers-- (-1989)
AMPLIFIERS
ANALYTICAL SOLUTION
BEAMS
BREMSSTRAHLUNG
CYCLOTRON RADIATION
CYCLOTRON RESONANCE
DISPERSION RELATIONS
ELECTROMAGNETIC RADIATION
ELECTRON BEAMS
ELECTRONIC EQUIPMENT
ENERGY RANGE
EQUIPMENT
FREE ELECTRON LASERS
LASERS
LEPTON BEAMS
MAGNETIC FIELDS
MICROWAVE AMPLIFIERS
MICROWAVE EQUIPMENT
PARTICLE BEAMS
RADIATIONS
RELATIVISTIC RANGE
RESONANCE