Nichtlineare Erscheinungen in einem Plasma, das sich in einem veränderlichen elektromagnetischen Feld befindet

Ginzburg, V. L.; Gurevič, A. V.; Bartels, Frank

doi:10.1002/prop.19600080302

Cited by 22 publications

(1 citation statement)

References 83 publications

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“…The distribution function f for the electrons in a plasma satisfies the Boltzmann equation -~L+v·V,f+-e-(E+vxB)V,f+S=O, ( 1) at m…”

Section: Introductionmentioning

confidence: 99%

Instability of Velocity Distributions of Slightly Ionized Gases in Electric Fields

Stenflo

1966

Journal of Nuclear Science and Technology

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If a slightly ionized gas is subject to a constant electric field the (time-and space independent) distribution function for the electrons may be double-humped if the cross section for electronmolecule interactions is changing sufficiently rapidly with velocity. Accordingly "inverse Landaudamping" can make the distribution function unstable with respect to longitudinal waves if the collisional damping is not too large. The results in the present paper indicate that the plasma can he unstable and parameters involved are estimated in order to get the conditions for instability.

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“…The distribution function f for the electrons in a plasma satisfies the Boltzmann equation -~L+v·V,f+-e-(E+vxB)V,f+S=O, ( 1) at m…”

Section: Introductionmentioning

confidence: 99%

Instability of Velocity Distributions of Slightly Ionized Gases in Electric Fields

Stenflo

1966

Journal of Nuclear Science and Technology

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Die exakte Bestimmung der Elektronendichteverteilung in einem endlichen, anisotropen Plasma

Fischer

1966

Annalen der Physik

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,4 bstractIf a microwave cavity containing an anisotropic, inhomogeneous plasma is excited with a nonresonant frequency o, the electron density distribution inside the plasma can be obtained from a knowledge of the tangential electrical field on a surface enclosing the plasma. The main step is the derivation of an integralequation relating the tangential field to the highfrequency plasma current. An experimental setup is discussed. The obtainable precision is limited by the noise like density fluctuations in the plasma itself and is about 1% for = for a spatial resolution in the same order of magnitude. 6N

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Nichtlineare Wechselwirkung elektromagnetischer Wellen im Plasma mit konstantem Magnetfeld

Sauer¹

1967

Contrib Plasma Phys

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The nonlinear interaction of waves in anisotropic plasmas is considered. Solving the hydrodynamics equations with a n-th order perturbation procedure, a n equation for the nonlinear electric field is derived. The n-th order current produced by interaction of waves with lower order is represented by means of a nonlinear tensor of conductivity, which is calculated for n = 2. It is shown, that a miced plasma wave with combination frequencies is excited as the result of interaction of two transverse (ordinary) waves propagating perpendicular to the magnetic field.Durch sukzessive Losung der hydrodynamischen Gleichungen fur ein anisotropes Plasma wird eine Gleichung fur das elektrische Feld in n-ter Ordnung abgeleitet, wobei der fur dieses Feld verantwortliche Quellstrom mit Hilfe eines nichtlinearen Leitfahigkeitstensors dargestellt wird. I n niedrigster nichtlinearer Ordnung (n = 2) laBt sich dieser unter der Voraussetzung, daB die Phasengeschwindigkeiten der wechselwirkenden Wellen grol3er als die thermische Geschwindigkeit ist, durch denlinearen Tensor ausdrucken. Mit dem entwickelten Formalismus werden zunachst einige bekannte FLlle der nichtlinearen Wechselwirkung transversaler und longitudinaler Wellen im isotropen Plasma behandelt. AnschlieBend wird gezeigt, daB durch Uberlagerung zweier transversaler (ordentlicher) Wellen, die sich senkrecht zum Magnetfeld ausbreiten, eine gemischte Plasmawelle mit Kombinationsfrequenzen angeregt werden kann.

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Nichtlineare Erscheinungen in einem Plasma, das sich in einem veränderlichen elektromagnetischen Feld befindet

Cited by 22 publications

References 83 publications

Instability of Velocity Distributions of Slightly Ionized Gases in Electric Fields

Instability of Velocity Distributions of Slightly Ionized Gases in Electric Fields

Die exakte Bestimmung der Elektronendichteverteilung in einem endlichen, anisotropen Plasma

Nichtlineare Wechselwirkung elektromagnetischer Wellen im Plasma mit konstantem Magnetfeld

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