The general dielectric tensor for bikappa magnetized plasmas
Abstract
In this paper, we derive the dielectric tensor for a plasma containing particles described by an anisotropic superthermal (bikappa) velocity distribution function. The tensor components are written in terms of the twovariables 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.
 Authors:
 Instituto de Física, UFRGS, 91501970 Porto Alegre, RS (Brazil)
 Publication Date:
 OSTI Identifier:
 22598971
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: Physics of Plasmas; Journal Volume: 23; Journal Issue: 6; Other Information: (c) 2016 Author(s); Country of input: International Atomic Energy Agency (IAEA)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; ANISOTROPY; DIELECTRIC MATERIALS; DIELECTRIC TENSOR; DISTRIBUTION; DISTRIBUTION FUNCTIONS; ELECTROMAGNETIC RADIATION; PARTICLES; PLASMA; POLARIZATION; VELOCITY
Citation Formats
Gaelzer, R., Email: rudi.gaelzer@ufrgs.br, Ziebell, L. F., Email: luiz.ziebell@ufrgs.br, and Meneses, A. R., Email: anemeneses@gmail.com. The general dielectric tensor for bikappa magnetized plasmas. United States: N. p., 2016.
Web. doi:10.1063/1.4953430.
Gaelzer, R., Email: rudi.gaelzer@ufrgs.br, Ziebell, L. F., Email: luiz.ziebell@ufrgs.br, & Meneses, A. R., Email: anemeneses@gmail.com. The general dielectric tensor for bikappa magnetized plasmas. United States. doi:10.1063/1.4953430.
Gaelzer, R., Email: rudi.gaelzer@ufrgs.br, Ziebell, L. F., Email: luiz.ziebell@ufrgs.br, and Meneses, A. R., Email: anemeneses@gmail.com. 2016.
"The general dielectric tensor for bikappa magnetized plasmas". United States.
doi:10.1063/1.4953430.
@article{osti_22598971,
title = {The general dielectric tensor for bikappa magnetized plasmas},
author = {Gaelzer, R., Email: rudi.gaelzer@ufrgs.br and Ziebell, L. F., Email: luiz.ziebell@ufrgs.br and Meneses, A. R., Email: anemeneses@gmail.com},
abstractNote = {In this paper, we derive the dielectric tensor for a plasma containing particles described by an anisotropic superthermal (bikappa) velocity distribution function. The tensor components are written in terms of the twovariables 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.},
doi = {10.1063/1.4953430},
journal = {Physics of Plasmas},
number = 6,
volume = 23,
place = {United States},
year = 2016,
month = 6
}

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