Generation of electromagnetic radiation from a drifting and rotating electron ring in a rippled magnetic field

Journal Article · Tue Sep 01 04:00:00 EDT 1987 · IEEE J. Quant. Electron.; (United States)

OSTI ID:6094060

Yin, Y Z; Ying, R J; Bekefi, G

Coherent electromagnetic radiation from a thin rotating annular ring of relativistic electrons with axial drift, and confined between concentric cylinders comprising a coaxial waveguide, is studied theoretically. The electrons are assumed to move in quasihelical orbits under the combined action of a uniform axial magnetic field and an azimuthally periodic wiggler magnetic field. The instability analysis is based on the linearized Vlasov-Maxwell equations for the perturbations about a self-consistent beam equilibrium. The dispersion equations for the transverse magnetic (TM/sub iota.m/) modes are derived and analyzed. Coherent radiation occurs near frequencies ..omega.. corresponding to the crossing points of the electromagnetic modes ..omega../sup 2/ = c/sup 2/k/sub parallel//sup 2/ + ..omega../sub c//sup 2/(iota,m) and the beam modes ..omega.. = upsilon/sub parallel/k/sub parallel/ + (iota + N)..cap omega../sub parallel/ where ..omega../sub c/ and ..cap omega../sub parallel/ are the waveguide cutoff frequency and the electron cyclotron frequency, respectively, upsilon/sub parallel/ is the axial drift velocity of electrons, k/sub parallel/ is the wavenumber of the electromagnetic wave along the axis, and N is the number of wiggler periods along the azimuth.

• Research Organization: Institute of Electronics, Academia Sinica, Beijing
• OSTI ID: 6094060
• Journal Information: IEEE J. Quant. Electron.; (United States), Journal Name: IEEE J. Quant. Electron.; (United States) Vol. QE-23:9; ISSN IEJQA
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
420300* -- Engineering-- Lasers-- (-1989)
BOLTZMANN-VLASOV EQUATION
COHERENT RADIATION
CYCLOTRON RESONANCE
DIFFERENTIAL EQUATIONS
ELECTRICAL EQUIPMENT
ELECTROMAGNETIC RADIATION
ELECTROMAGNETS
ELECTRON CYCLOTRON-RESONANCE
ELECTRON RINGS
ELECTRONIC STRUCTURE
ELECTRONS
ELEMENTARY PARTICLES
ENERGY RANGE
EQUATIONS
EQUIPMENT
FERMIONS
FREE ELECTRON LASERS
FREQUENCY DEPENDENCE
INSTABILITY
LASERS
LEPTONS
MAGNETIC FIELDS
MAGNETS
MOTION
PARTIAL DIFFERENTIAL EQUATIONS
PERTURBATION THEORY
RADIATIONS
RELATIVISTIC RANGE
RESONANCE
ROTATION
WAVEGUIDES
WIGGLER MAGNETS