Generalized Dispersion Relation For Electron Bernstein Waves in non-Maxwellian Magnetized anisotropic Plasma

Abstract

A generalized dielectric constant for electron Bernstein waves using non-Maxwellian distribution function is derived in a collisionless, uniform magnetized plasma. Using Neumann’s series expansion for the product of Bessel’s function, we can derive the dispersion relations for both kappa distribution and generalized(r,q) distribution in a straight forward manner. The dispersion relation now become dependent on spectral indices and (r,q) for kappa and generalized (r,q) distribution respectively. Our results show how the non-Maxwellian dispersion curve deviates from the Maxwellian depending upon the values of spectral indices chosen. It may be noted that (r,q) distribution is reduced to Kappa distribution at r = 0 and q = + 1 which is further reducible to Maxwellian distribution for Ø.