Zur Theorie der parametrischen Anregung von elektrostatischen Oberflächenwellen in einer Plasmaschicht

Aliew, Ju. M.; Gradow, O. M.; Sünder, D.

doi:10.1002/ctpp.19720120605

Contrib Plasma Phys

1972

DOI: 10.1002/ctpp.19720120605

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Zur Theorie der parametrischen Anregung von elektrostatischen Oberflächenwellen in einer Plasmaschicht

Ju. M. Aliew¹,

O. M. Gradow²,

D. Sünder³

Abstract: Dispersion relations for electrostatic surface waves in a homogeneous plasma-layer \vhich interacts with a n external electric pumping field parallel to the boundaries are derived in the framework of the kinetic theory. The parametrically excited and purely growing instabilities are investigated. Electric threshold fields and growth rates for the instable surface modes are given. It can be shown that the minimum threshold for parametric excitation occurs for those modes which are symmetric about the midplane o… Show more

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Cited by 7 publications

References 23 publications

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Parametrische Anregung von elektrostatischen Oberflächenwellen in einer inhomogenen Plasmaschicht durch ein amplituden‐moduliertes UHF‐Pumpfeld

Aliew¹,

Gradow²,

Sünder³

1975

Contrib Plasma Phys

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Pnrainetric resonance phenomena are investigated in a plasma layer with thickness d and thin iiilioiiiogeneous boiindnry regions. The modulated UHF electric field is parallel to the plasma layer.\Vc consider both strong and low modulation of the field amplitude and suppose, that the carrier frcqucncy wo of the prinip wave is much larger than the LANCYUIR frequency wLc. \Ve find the region for the iiiocliilution frequency R, in which the parametric growing of the asymmetric and symmetric siirfiice wavcs occurs. The mnximiim growth rates of these waves, the direction of their propagation iintl tlic threshold valiie of the inodiilution depth a of the UHF pump field are calc.itlntion. EinlcitungDie bei der Wechselwirkung eines starken nionochroniatischen elektrischen l'utnpfeldes E, sin mot mit eineui houiogenen und unbegrenzten Plasma auft retcnden paraiiietrischen Instabilitaten, die zii einer experimentell nachgewiesenen nichtohnischen -4ufheizung des Ylasnias und dessen schnellen Zerfalls fiihren, wurden theoretisch zuerst von SILIN

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Parametrische Anregung von elektrostatischen Oberflächenwellen in einer inhomogenen Plasmaschicht durch ein amplituden‐moduliertes UHF‐Pumpfeld

Aliew¹,

Gradow²,

Sünder³

1975

Contrib Plasma Phys

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Three‐Wave Interaction in Cold Semi‐Infinite Plasmas

Lindgren

Larsson

Stenflo

1979

Contrib Plasma Phys

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AhstreetWe have considered the theory for the resonant nonlinear interaction between three waves in B cold semi-infinite magnetized plasma end ciilculnted the coupling coefficients.The linear theory of surface waves has been developed in detail (see e.g. [ 1-31) and the nonlinear theory of such modes has recently received increased attention [e.g, 4-61. I n the present paper we introduce further ideas in this field.W e shall consider a semi-infinite electron-ion plasma with essentially constant density iV, (= N , = N i ) for x > 0. The region .z < 0 is assumed to be filled with a material with frequency-independent dielectric constant E,, which for siniplicity we decide to be the sattie as for vacuum. We describe our plasma by means of the cold fluid equations (except for our extension in (14)), and assume that there are no particle dyifts in the rinperturbed state. A constant magnetic field Bo, which is supposed to be present, is by definition in the xy-plane, where 0 is the angle between B, and the positive x-axis.The linear theory for such a semi-infinite plasma is well known [e.g. 2,3]. The nonlinear theory, for the particular direction Bo = BOO, has been discussed in [5]. We shall here extend the non-linear theory by considering the oblique case [2], where B, is n o t normal to the plasma boundary.We denote the current density by J and start with the Maxwell equationRestricting ourselves to longitudinal waves, we introduce coniplex potentials @, such that the electric field can be written as E = -V@ + C.C. Froin (1) we then obtain ~vhere we have integrated over the region --oo < x < m, 0 < y < I , 0 < z < 1.Separating the current density J = J I + JnI into a linear, J,, and a non-linear, J n l , part, we obtain from (2) after partial integration drC'@* -(-iiwe(~>)) * I @ + C.C. = -dl.(F@*) -J,l $-C.C.

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On the parametric excitation of surface oscillations of a cold plasma

Petržı́lka

1978

Czech J Phys

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Zur Theorie der parametrischen Anregung von elektrostatischen Oberflächenwellen in einer Plasmaschicht

Cited by 7 publications

References 23 publications

Parametrische Anregung von elektrostatischen Oberflächenwellen in einer inhomogenen Plasmaschicht durch ein amplituden‐moduliertes UHF‐Pumpfeld

Parametrische Anregung von elektrostatischen Oberflächenwellen in einer inhomogenen Plasmaschicht durch ein amplituden‐moduliertes UHF‐Pumpfeld

Three‐Wave Interaction in Cold Semi‐Infinite Plasmas

On the parametric excitation of surface oscillations of a cold plasma

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