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Blank, D.
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Gaelzer, R, Ziebell LF, Menses AR.
2016.
The general dielectric tensor for bi-kappa magnetized plasmas. Physics of Plasmas. 23(062108)
AbstractIn 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.
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