Cyclotron maser instability for general magnetic harmonic number

Journal Article · Sun Oct 01 04:00:00 EDT 1978 · Phys. Fluids; (United States)

DOI:https://doi.org/10.1063/1.862105· OSTI ID:6985052

Uhm, H; Davidson, R C; Chu, K R

The cyclotron maser instability for general magnetic harmonic number transverse electric (TE) and transverse magnetic (TM) waveguide modes in a conducting cylinder of radius R/sub c/ are examined. The analysis is carried out for a hollow electron beam (radius R/sub 0/) propagating parallel to a uniform axial magnetic field B/sub 0/e/sub z/. It is assumed that ..nu../..gamma../sub 0/very-much-less-than1, where ..nu.. is Budker's parameter and ..gamma../sub 0/mc/sup 2/ is the electron energy in a frame of reference moving with the beam axial velocity ..beta../sub b/ce/sub z/. One of the most important features of the analysis is that the instability growth rate for magnetic harmonic numbers s=2,3,... is comparable to the growth rate of the fundamental (s=1) mode, particularly for moderate electron energy (..beta../sub 0/= (1-1/..gamma../sup 2//sub 0/)/sup 1/2/> or approx. =0.4). Moreover, it is shown that the instability growth rate can be maximized by appropriate choice of the geometric parameter R/sub 0//R/sub c/.

• Research Organization: Department of Physics and Astronomy, University of Maryland, College Park, Maryland 20742
• OSTI ID: 6985052
• Journal Information: Phys. Fluids; (United States), Journal Name: Phys. Fluids; (United States) Vol. 21:10; ISSN PFLDA
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
700107* -- Fusion Energy-- Plasma Research-- Instabilities
ANGULAR MOMENTUM
BEAMS
BOLTZMANN-VLASOV EQUATION
CYCLOTRON INSTABILITY
CYCLOTRON RESONANCE
DIFFERENTIAL EQUATIONS
DISPERSION RELATIONS
DISTRIBUTION FUNCTIONS
ELECTRON BEAMS
EQUATIONS
EQUILIBRIUM
HARMONICS
INSTABILITY
INSTABILITY GROWTH RATES
LEPTON BEAMS
MAGNETIC FIELDS
OSCILLATIONS
PARTICLE BEAMS
PLASMA INSTABILITY
PLASMA MICROINSTABILITIES
RESONANCE
WAVEGUIDES