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Journal ArticleDOI

Nonlinear evolution of a wave packet propagating along a hot magnetoplasma column

01 Feb 1987-Journal of Plasma Physics (Cambridge University Press)-Vol. 37, Iss: 1, pp 107-115
TL;DR: In this article, the methode des echelles multiples is used for etablir a non lineaire equation of Schrodinger non-lineaire, which decrit l'evolution non lineaires des ondes lentes du plasma electronique se propageant le long d'une colonne de plasma cylindrique chaud, entoure par un milieu dielectrique and immerge dans un champ magnetique axial infini.
Abstract: La methode des echelles multiples est utilisee pour etablir une equation de Schrodinger non lineaire, qui decrit l'evolution non lineaire des ondes lentes du plasma electronique se propageant le long d'une colonne de plasma cylindrique chaud, entoure par un milieu dielectrique et immerge dans un champ magnetique axial infini. Determination, depuis cette equation, de la condition pour l'instabilite de modulation pour un trait d'ondes de plasma non uniformes
References
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Journal ArticleDOI
TL;DR: In this article, two coupled non-linear equations were derived that give the evolution of a three dimensional extraordinary wave packet propagating perpendicularly to a uniform external magnetic field in a temperature plasma, including the effect of its interaction with long wavelength slow and fast magneto-acoustic wave and also including lowest order relativistic effect.
Abstract: By a perturbation method, two coupled non-linear equations are derived that give the evolution of a three dimensional extraordinary wave packet propagating perpendicularly to a uniform external magnetic field in a temperature plasma, including the effect of its interaction with long wavelength slow and fast magneto-acoustic wave and also including lowest order relativistic effect.

6 citations

Journal ArticleDOI
TL;DR: In this article, an argon plasma column was produced by a diffusion source, and modulated simultaneously by a strong pump wave and a weaker higher frequency signal, to produce an idler wave at the difference frequency by non-linear interaction.
Abstract: Experiments on non-linear mode conversion in a cylindrical magnetoplasma column are described. An argon plasma column was produced by a diffusion source, and modulated simultaneously by a strong pump wave and a weaker higher frequency signal, to produce an idler wave at the difference frequency by non-linear interaction. The results are compared with theoretical predictions made in Part 1 of the paper for a cold, homogeneous, cylindrical column in an infinite, axial, static magnetic field. Good qualitative agreement is demonstrated, but quantitative comparisons are complicated by the discrepancies from precise synchronism observed for experimental conditions giving the strongest interactions.

5 citations

Journal ArticleDOI
T. Lindgren1
TL;DR: In this article, the nonlinear interaction of three high-frequency waves and low-frequency density perturbations in a sharply bounded plasma is considered and coupled equations are presented in a general and convenient form.
Abstract: We consider the nonlinear interaction of three high-frequency waves and lowfrequency density perturbations in a sharply bounded plasma. The coupled equations are presented in a general and convenient form. To demonstrate the usefulness of our method we derive explicit expressions for the threshold of a number of possible instabilities in semi-infinite and cylindrical plasmas.

4 citations