Constitutive relation for slowly varying warm plasmas

Suchy, K.

doi:10.1017/s0022377800000180

Cited by 8 publications

(1 citation statement)

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“…in an arbitrary medium are solutions of a system of linear differential and integral equations in which the coefficients depend on the characteristics of the medium. For example, when considering electromagnetic waves in a source-free region, this system consists of the Maxwell equations^x and the constitutive equations (Suchy 1982) = (C°P-E)(X)= (d 4 X'£(X-X';X)-E(X'), (1.2a) = (|X°P-H)(X)= frf 4 XV(X-X';X)-H(X'), (1.26) = (a op -E)(X)= |d 4 X'a(X-X';X)-E(X').…”

Section: Introductionmentioning

confidence: 99%

The transformation of plasma equations to normal form in mode conversion theory

Sabzevari

1992

J. Plasma Phys.

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Field variables in a slowly varying plasma are solutions of a system of differential and integral equations. To solve these equations, the fields are expanded in the eigenvectors of an algebraic plasma tensor, and the plasma equations can be transformed into a system of transport equations. The expansion becomes singular when eigenvalues coincide (for example in the case of mode conversion). It is shown how this problem can be resolved for an arbitrary system of Maxwell and/or fluid equations in arbitrary dimensions and for every kind of medium. The method is applied to horizontal stratified media as a simple example.

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Section: Introductionmentioning

confidence: 99%

The transformation of plasma equations to normal form in mode conversion theory

Sabzevari

1992

J. Plasma Phys.

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Quantitative methods for waves in space plasmas

Rönnmark

1990

Space Sci Rev

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Theoretical studies of space plasma waves can often explain the presence of waves in the frequency range where they are observed, but more detailed comparisons between theory and observations are needed. Some methods that can bring the theoretical and observational descriptions closer together are reviewed in this study.Standard techniques employed to measure wave fields in space are described, as well as the analysis of wave data. The dynamics of observed waves cannot be consistently described by methods of spectral analysis developed for random stationary processes, and attempts to define time-dependent spectra are therefore discussed. Direct satellite observations of wave vectors are very scarce, but it is sometimes possible to reconstruct the wave distribution function from observed frequency spectra. Recently developed phase space methods allow equations governing the evolution of the wave distribution function in weakly inhomogeneous plasmas to be derived.

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Linear and nonlinear geometric optics. Part 1. Constitutive relations and three-wave interaction

Larsson

1989

J. Plasma Phys.

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In a weakly dissipative and weakly space-time-varying plasma the propagation of electromagnetic waves may be described by geometric optics. The local tensors governing geometric optics possess approximate symmetries, which become exact in the limit of zero dissipation. These symmetries, which are well known from explicit expressions obtained in various plasma models assuming a homogeneous background, have not previously been created satisfactorily, either with respect to their appearance or to their derivation for an inhomogeneous medium. As an example of the implications of these symmetries, the coupled mode equations for the resonant interaction between three geometric-optics modes are derived in a form such that, in the dissipationless limit, the linear part of the equations conserves wave action. When nonlinear interaction terms are included, the waves are shown to exchange wave action in accordance with the Manley—Rowe relations.

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Constitutive relation for slowly varying warm plasmas

Abstract: Ohm's law for homogeneous warm plasmas not varying with time is generalized for plasmas with parameters slowly varying in space and time. The corresponding integral constitutive relation is derived.

Cited by 8 publications

References 7 publications

The transformation of plasma equations to normal form in mode conversion theory

The transformation of plasma equations to normal form in mode conversion theory

Quantitative methods for waves in space plasmas

Linear and nonlinear geometric optics. Part 1. Constitutive relations and three-wave interaction

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