Physics – Plasma Physics
Scientific paper
Jun 1988
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988jplph..39..485t&link_type=abstract
Journal of Plasma Physics (ISSN 0022-3778), vol. 39, June 1988, p. 485-502.
Physics
Plasma Physics
2
Ion Beams, Magnetohydrodynamic Stability, Plasma Resonance, Plasma Waves, Plasma-Particle Interactions, Wave Generation, Bessel Functions, Comets, Interstellar Gas, Ionization, Neutral Particles, Solar Wind, Wave Propagation
Scientific paper
Analytical solutions are presented for the linear growth rate of oblique plasma waves in a magnetized plasma due to resonant interactions with a model ring-beam distribution. Explicit closed-form solutions for the angular dependence are obtained in terms of modified Bessel functions of the first kind. In the limits of either quasi-longitudinal or quasi-transverse propagation the analytical solutions take the form of simple algebraic expansions, which allow an immediate comparison of the relative contributions from different harmonic resonances, and which also determine the conditions for marginal stability for any specific resonance. The results can be applied, for instance, to the growth of waves following ionization of neutrals originating from cometary, planetary, or interstellar material in the solar wind. In a weakly unstable plasma the analytical results also provide an important check on the complex numerical codes that hitherto constituted the only method available for evaluating the growth of oblique plasma waves.
Mansergh Thorne Richard
Summers Danny
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