Mathematics – Complex Variables
Scientific paper
Jul 1977
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977ap%26ss..49..293v&link_type=abstract
Astrophysics and Space Science, vol. 49, no. 2, July 1977, p. 293-316.
Mathematics
Complex Variables
3
Anisotropic Media, Magnetohydrodynamic Stability, Plasma-Electromagnetic Interaction, Velocity Distribution, Wave Dispersion, Complex Variables, Cyclotron Radiation, Electron Plasma, Energy Spectra, Nyquist Diagram, Perturbation Theory, Propagation Modes, Whistlers
Scientific paper
A general dispersion relation is developed for an anisotropic loss-cone-limited plasma. An arbitrary isotropic velocity distribution with a loss cone is considered initially, and the Nyquist diagram technique is used to show that such a distribution can be unstable toward electromagnetic perturbations corresponding to the whistler mode. Growth rates are computed analytically for an isotropic loss-cone plasma, a general growth rate that includes loss-cone effects is obtained by reintroducing the anisotropy, and it is found that the loss-cone effects become increasingly significant as the loss cone broadens, the energy spectrum becomes softer, or both. The complex frequencies in the general dispersion relation are calculated numerically for a case typical of the magnetospheric plasma.
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