Relativistic plasma dielectric tensor evaluation based on the exact plasma dispersion functions concept

2006 ◽  
Vol 13 (7) ◽  
pp. 072105 ◽  
Author(s):  
F. Castejón ◽  
S. S. Pavlov
Keyword(s):  
Relativistic Plasma ◽  
Dielectric Tensor ◽  
Plasma Dispersion

New representations of dielectric tensor elements in magnetized plasma

1986 ◽  
Vol 35 (2) ◽  
pp. 319-331 ◽  
Author(s):  
I. P. Shkarofsky
Keyword(s):  
Functional Expression ◽  
Relativistic Plasma ◽  
Magnetized Plasma ◽  
Dispersion Function ◽  
Dielectric Tensor ◽  
Relativistic Case ◽  
Plasma Dispersion ◽  
Derivatives Of

Each of the dielectric tensor elements in a Maxwellian magnetoplasma is expressed in terms of various derivatives of a single functional expression. The relationships for all the elements are given, first for the general case of a relativistic plasma, then for the slightly relativistic case, and finally for the non-relativistic case, when the perpendicular wavenumber is either large or small. We also derive new relations useful for the computation of the slightly relativistic plasma dispersion function.

Relativistic plasma dispersion relation

1969 ◽  
Vol 11 (11) ◽  
pp. 899-902 ◽  
Author(s):  
B N A Lamborn
Keyword(s):  
Dispersion Relation ◽  
Relativistic Plasma ◽  
Plasma Dispersion

Weakly relativistic dielectric tensor and dispersion functions of a Maxwellian plasma

1983 ◽  
Vol 30 (1) ◽  
pp. 125-131 ◽  
Author(s):  
V. Krivenski ◽  
A. Orefice
Keyword(s):  
Magnetic Field ◽  
Wave Vector ◽  
Magnetized Plasma ◽  
Harmonic Number ◽  
Dielectric Tensor ◽  
Absorption And Emission ◽  
Emission Properties ◽  
Maxwellian Plasma ◽  
Plasma Dispersion ◽  
The Magnetic Field

In order to study the absorption and emission properties of a magnetized plasma in the electron cyclotron range of frequencies, the weakly relativistic (Shkarofsky) plasma dispersion functions are simply and exactly expressed in terms of the Z function. This gives a useful working form to the dielectric tensor, for any wave vector and harmonic number, covering also the case of electron Maxwellian distributions drifting along the magnetic field.

Resonant interaction of electron cyclotron waves with a plasma containing arbitrarily drifting suprathermal electrons

1985 ◽  
Vol 34 (2) ◽  
pp. 319-326 ◽  
Author(s):  
A. Orefice
Keyword(s):  
Electromagnetic Waves ◽  
Electron Distribution Function ◽  
Resonant Interaction ◽  
Electron Cyclotron ◽  
Dielectric Tensor ◽  
Suprathermal Electrons ◽  
Relativistic Treatment ◽  
Electron Cyclotron Waves ◽  
Plasma Dispersion ◽  
The Magnetic Field

A relativistic treatment of the plasma dispersion functions and of the dielectric tensor for electron cyclotron electromagnetic waves is given for non-thermal plasmas where the electron distribution function can be represented as a combination of Maxwellians with arbitrary drifts along the magnetic field.

Generalized Trubnikov functions for unmagnetized plasmas

1999 ◽  
Vol 62 (2) ◽  
pp. 249-253 ◽  
Author(s):  
D. B. MELROSE
Keyword(s):  
Thermal Plasma ◽  
Thermal Plasmas ◽  
Relativistic Plasma ◽  
Dispersion Function ◽  
Recursion Relations ◽  
Relativistic Dispersion ◽  
Plasma Dispersion ◽  
Class Of Functions ◽  
Explicit Expressions

A class of relativistic dispersion functions for unmagnetized thermal plasmas is defined by generalizing functions first defined by Trubnikov in 1958. Recursion relations are derived that allow one to generate explicit expressions for the class of functions in terms of the relativistic plasma dispersion function T(z, ρ) introduced by Godfrey et al. in 1975. These functions are relevant to the description of the response of a weakly mangetized, highly relativistic, thermal plasma.

A Relativistic Plasma Dispersion Function

1975 ◽  
Vol 3 (2) ◽  
pp. 60-67 ◽  
Author(s):  
Brendan B. Godfrey ◽  
Barry S. Newberger ◽  
Keith A. Taggart
Keyword(s):  
Relativistic Plasma ◽  
Dispersion Function ◽  
Plasma Dispersion

scholarly journals Wave dispersion in pulsar plasma. Part 2. Pulsar frame

2019 ◽  
Vol 85 (3) ◽  
Author(s):  
M. Z. Rafat ◽  
D. B. Melrose ◽  
A. Mastrano
Keyword(s):  
Dispersion Equation ◽  
Lorentz Transformation ◽  
Gaussian Distribution ◽  
Rest Frame ◽  
Wave Dispersion ◽  
Dielectric Tensor ◽  
Inertial Frames ◽  
Plasma Dispersion ◽  
Explicit Relation ◽  
Positive Frequency

Wave dispersion in a pulsar plasma is discussed emphasizing the relevance of different inertial frames, notably the plasma rest frame ${\mathcal{K}}$ and the pulsar frame ${\mathcal{K}}^{\prime }$ in which the plasma is streaming with speed $\unicode[STIX]{x1D6FD}_{\text{s}}$ . The effect of a Lorentz transformation on both subluminal, $|z|<1$ , and superluminal, $|z|>1$ , waves is discussed. It is argued that the preferred choice for a relativistically streaming distribution should be a Lorentz-transformed Jüttner distribution; such a distribution is compared with other choices including a relativistically streaming Gaussian distribution. A Lorentz transformation of the dielectric tensor is written down, and used to derive an explicit relation between the relativistic plasma dispersion functions in ${\mathcal{K}}$ and ${\mathcal{K}}^{\prime }$ . It is shown that the dispersion equation can be written in an invariant form, implying a one-to-one correspondence between wave modes in any two inertial frames. Although there are only three modes in the plasma rest frame, it is possible for backward-propagating or negative-frequency solutions in ${\mathcal{K}}$ to transform into additional forward-propagating, positive-frequency solutions in ${\mathcal{K}}^{\prime }$ that may be regarded as additional modes.

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