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

Sabzevari, Bijan

doi:10.1017/s0022377800024077

Cited by 3 publications

(4 citation statements)

References 9 publications

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“…A method of solution of the electromagnetic field near the coupling point has been proposed by Budden and Sabzevari. This is made possible by introducing a new independent eigenvector for the multiple roots [1,9,10].…”

Section: Multilayered Methods By Matrix Multiplicationmentioning

confidence: 99%

Analysis of electromagnetic wave propagation with resonance effect in collision-free magnetized plasma

Takano

Nagano

Yagitani

2005

Electron. Comm. Jpn. Pt. I

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SUMMARYIn an inhomogeneous collision-free (lossless) magnetized plasma, there is resonance where the refractive index becomes infinite. Previously, the multilayered method by matrix multiplication has been used for the analysis of electromagnetic wave propagation in an anisotropic inhomogeneous medium. In the case of collision-free magnetized plasma, solution of the wave equation is unstable at the resonance point because the wave equation exhibits singularity. In order to rectify this problem, the inhomogeneous medium containing resonance is divided into thin layered media. At each layer, the analytical solution of the electromagnetic field is derived by an integral equation. The solutions are connected by way of the boundary condition in this integral approximation method. In the present paper, the effectiveness of the integral approximation method in an anisotropic inhomogeneous medium is discussed. Also, this computational method is applied to the problem of mode conversion from the Z mode to the L-O mode in regard to the electromagnetic wave generated in space and to resolution of the mechanism of the electromagnetic energy absorption at resonance. New knowledge is therefore obtained.

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Section: Multilayered Methods By Matrix Multiplicationmentioning

confidence: 99%

Analysis of electromagnetic wave propagation with resonance effect in collision-free magnetized plasma

Takano

Nagano

Yagitani

2005

Electron. Comm. Jpn. Pt. I

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“…16). The coupling of an arbitrary number of modes has been investigated by the author (Sabzevari 1992(Sabzevari , 1993. To estimate the size of the coupling region, we begin with the derivation of a criterion under which the right-hand side of (8) is small compared with the first coefficient on the left-hand side, i.e.…”

Section: The Size Of the Coupling Regionmentioning

confidence: 99%

A general formula for the size of the mode-coupling region

Sabzevari

1999

J. Plasma Phys.

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Mode coupling takes place in a small, but non-zero, region around the coupling point. A general formula for the size of this coupling region is given. This formula is valid for anisotropic absorbing media with the inhomogenity in one direction and for a linear system of wave equations with an arbitrary number of fields and of arbitrary order; i.e. an arbitrary number of waves can couple and an arbitrary number of coupling points can coalesce. It is shown that the size is dependent on the number of modes that exist in the medium and the number of coupling points that coalesce. The formula is applied to some examples. A peculiar result that the formula shows is that as the temperature approaches infinity, the size of the mode-coupling region approaches a constant finite value, and in certain cases this size approaches zero; i.e. in these cases of extremely high temperature, mode coupling eventually vanishes.

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“…For a stratified medium, a different formalism than here, which was constructed for a coupling of an arbitrary number of coupled waves, also resulted in coupled wave equations with singular coefficients (Sabzevari 1992(Sabzevari , 1993. But the form of the equation were of a kind, that the singularities first had to be removed in order to solve the problem (see also Budden 1985, ch.…”

mentioning

confidence: 98%

“…At the coupling point, the coupling is maximum. Usually, a singularity is to be expected there (for the example of a stratified medium see Sabzevari 1992, 1993, Budden 1985, ch. 16.3, Budden 1972 From ( 34) and ( 35) follow the biorthonormality relations…”

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confidence: 99%

Mode coupling in space- and time-varying anisotropic absorbing plasmas

Sabzevari

1997

J. Plasma Phys.

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A four dimensional systematic mathematical approach for investigating propagation and coupling of wave modes in a slowly varying (in all space directions and time) anisotropic, absorbing plasma is represented. The formalism is especially useful for energy considerations of the waves. It is applicable to general cases of mode conversion in plasmas with general geometries of space-time and magnetic field configurations. A simple example of how this formalism can be applied to practical cases is given.

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

Cited by 3 publications

References 9 publications

Analysis of electromagnetic wave propagation with resonance effect in collision-free magnetized plasma

Analysis of electromagnetic wave propagation with resonance effect in collision-free magnetized plasma

A general formula for the size of the mode-coupling region

Mode coupling in space- and time-varying anisotropic absorbing plasmas

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