Accession Number : AD0715636

Title :   Some Algebraic Solutions of the Cyclotron Resonance Interaction,

Corporate Author : BOEING SCIENTIFIC RESEARCH LABS SEATTLE WASH

Personal Author(s) : Ho,H. S. ; Liemohn,H. B.

Report Date : SEP 1970

Pagination or Media Count : 40

Abstract : The cyclotron-resonance interaction between electromagnetic waves and nonthermal plasmas has been investigated for Cauchy (resonance) velocity distributions which yield algebraic dispersion equations. Combinations of anisotropic and streaming distributions have been considered for ions and electrons to ascertain the relative importance of the interaction at different frequencies. Distribution forms and prameter ranges were chosen which would simulate possible conditions in the magnetosphere and solar wind. Because the equations are algebraic, the valid characteristic roots are readily identified, and their unstable nature is determined by conventional convectively/nonconvective criteria. Parameter regimes of spatial amplification (convective instability) and temporal growth (nonconvective instability) have been identified. Amplitude exponents are presented as a function of frequency for several cases of interest, and algebraic expansions are derived. On the basis of the cases studied, it is concluded that the cyclotron-resonance interaction is a convective instability for parameter values appropriate for the undisturbed magnetosphere and solar wind. Nonconvective instabilities are only obtained for relatively large streaming conditions which may be encountered in laboratory or stellar applications. (Author)

Descriptors :   (*PLASMA MEDIUM, *CYCLOTRON RESONANCE PHENOMENA), MAGNETOSPHERE, DOPPLER EFFECT, DISPERSION RELATIONS, DISTRIBUTION FUNCTIONS, BOUNDARY VALUE PROBLEMS, SOLAR WIND, STABILITY

Subject Categories : Plasma Physics and Magnetohydrodynamics

Distribution Statement : APPROVED FOR PUBLIC RELEASE