The general dielectric tensor for bi-kappa magnetized plasmas

TL;DR

This paper derives a comprehensive dielectric tensor for bi-kappa magnetized plasmas with anisotropic superthermal particles, utilizing new special functions to facilitate analysis of wave propagation in such plasmas.

Contribution

It introduces a novel dielectric tensor formulation for bi-kappa plasmas using special functions, expanding analytical tools for superthermal plasma wave studies.

Findings

Derived the dielectric tensor components in terms of kappa plasma special functions.

Established new mathematical properties of these special functions.

Provided a framework for analyzing electromagnetic wave propagation in superthermal plasmas.

Abstract

In this paper we derive the dielectric tensor for a plasma containing particles described by an anisotropic superthermal (bi-kappa) velocity distribution function. The tensor components are written in terms of the two-variables kappa plasma special functions, recently defined by Gaelzer and Ziebell [Phys. Plasmas 23, 022110 (2016)]. We also obtain various new mathematical properties for these functions, which are useful for the analytical treatment, numerical implementation and evaluation of the functions and, consequently, of the dielectric tensor. The formalism developed here and in the previous paper provides a mathematical framework for the study of electromagnetic waves propagating at arbitrary angles and polarizations in a superthermal plasma.