Cyclotron maser instability for general magnetic harmonic number

Technical Report · Wed Jan 01 04:00:00 EST 1975

OSTI ID:5605287

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

This paper examines 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. 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 < < < 1, where nu is Budker's parameter and gamma sub 0 mc-squared 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. 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: Maryland Univ., College Park (USA). Dept. of Physics and Astronomy
• OSTI ID: 5605287
• Report Number(s): AD-A-070593
• Country of Publication: United States
• Language: English

Related Subjects

43 PARTICLE ACCELERATORS
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71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
AMPLIFIERS
BEAMS
CHARGED-PARTICLE TRANSPORT
CYCLOTRON RESONANCE
CYLINDERS
DIFFERENTIAL EQUATIONS
DOPPLER EFFECT
ELECTRON BEAMS
ELECTRONIC EQUIPMENT
EQUATIONS
EQUILIBRIUM
INSTABILITY GROWTH RATES
LEPTON BEAMS
MASERS
MAXWELL EQUATIONS
MICROWAVE AMPLIFIERS
MICROWAVE EQUIPMENT
PARTICLE BEAMS
RADIATION TRANSPORT
RESONANCE
STABILITY
TRANSMISSION
WAVEGUIDES