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Title: Gyroharmonic maser instability for weakly relativistic electrons with a loss-cone distribution

Journal Article · · Physics of Fluids B; (USA)
DOI:https://doi.org/10.1063/1.859463· OSTI ID:6642552
;  [1]
  1. Institute for Physical Science and Technology University of Maryland, College Park, Maryland 20742 (USA)

The weakly relativistic dielectric tensor for a system of electrons comprised of cold and energetic populations, embedded in a neutralizing background, is reformulated in terms of an infinite series representation in powers of {lambda}={alpha}{ital ck}{sub {perpendicular}}/{omega}{sub {ital c}}, where {alpha}{sup 2} is a parameter proportional to the average thermal energy of the energetic electrons, {ital k}{sub {perpendicular}} is the perpendicular component of the wave vector {bold k}, and {omega}{sub {ital c}} is the electron gyrofrequency. The energetic electrons are assumed to have a loss-cone feature in the perpendicular momentum space. The present formalism can be used in the problem of cyclotron maser (i.e., emissions near the fundamental {omega}{approx}{omega}{sub {ital c}}) as well as more general gyroharmonic maser (i.e., multiharmonics) emissions resulting from weakly relativistic loss-cone electrons. This is because, unlike the previous theories in which certain approximations such as the single-harmonic approximations are made, the present formalism retains contributions from the entire harmonics. As a result, the present formalism is valid for arbitrary {omega}{sub {ital p}}/{omega}{sub {ital c}}, where {omega}{sub {ital p}} is the total electron plasma frequency. As an application, growth rates for the X-mode and Z-mode gyroharmonic maser instabilities are calculated for a propagation angle {theta}=90{degree} at various energies, and for {omega}{sub {ital p}}/{omega}{sub {ital c}} ranging from 0.1 to 1.

OSTI ID:
6642552
Journal Information:
Physics of Fluids B; (USA), Vol. 2:8; ISSN 0899-8221
Country of Publication:
United States
Language:
English