Relativistic and non-relativistic analysis of whistler-mode waves in a hot anisotropic plasma

Abstract

163The dispersion equation for parallel whistler-mode propagation in a hot anisotropic plasma is analysed numerically in both weakly relativistic and nonrelativistic approximations under the assumption that wave growth or damping does not influence the wave refractive index. The results of this analysis are compared with the results of an asymptotic analysis of the same equation, and the range of applicability of the latter results is specified. It is pointed out that relativistic effects lead to a decrease in the range of frequencies for which instability occurs . .For a moderately anisotropic plasma (Ti.JT,, 1 = 2) relativistic effects lead to an increase in the maximum value of the increment of instability.

Relativistic study of electromagnetic electron cyclotron instability based on trapped electrons in kappa‐Maxwellian auroral plasmas

“…[20][21][22] By employing the technique presented by Lerche, [23] Sentman and Goertz [24] studied the whistler instability in a fully relativistic plasma for the Jovian magnetosphere. Sazhin et al [25] presented a numerical analysis of dispersion relation for parallel propagating whistler waves in hot anisotropic plasma for nonrelativistic and weakly relativistic cases. Schlickeiser et al [26] presented a general analysis of dispersion equation of whistler mode in Maxwellian plasma by using relativistic treatment.…”