Nonlinear excitation of slow shear Alfvén mode by electromagnetic waves

Nonlinear decay of large-amplitude ordinary and extraordinary electromagnetic waves into an electrostatic upper-hybrid wave and a slow shear Alfvén wave in a low-β plasma is considered. Expressions for the growth rates and thresholds are obtained. Applications of this investigation to both space and laboratory plasmas are pointed out.

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Theory of stimulated scattering of large-amplitude waves

Journal of Plasma Physics ◽

10.1017/s0022377800008655 ◽

2000 ◽

Vol 64 (4) ◽

pp. 353-357 ◽

Cited By ~ 14

Author(s):

L. STENFLO ◽

P. K. SHUKLA

Keyword(s):

Growth Rates ◽

High Frequency ◽

Large Amplitude ◽

Electromagnetic Waves ◽

Long Term Evolution ◽

Stimulated Scattering ◽

Term Evolution ◽

Laboratory Plasmas ◽

General Dispersion

Comprehensive comments on the theory of stimulated scattering instabilities of high-frequency electromagnetic waves in magnetized plasmas are presented. It is shown that our general dispersion relations are appropriate for deducing valuable information regarding the growth rates of scattering instabilities and the long-term evolution of modulationally unstable waves in space and laboratory plasmas as well as in astrophysical settings.

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Nonlinear decay of a propagating lower-hybrid wave in a plasma

Journal of Plasma Physics ◽

10.1017/s0022377800023679 ◽

1978 ◽

Vol 19 (1) ◽

pp. 87-96 ◽

Cited By ~ 15

Author(s):

P. K. Shukla ◽

M. A. Mamedow

Keyword(s):

Electromagnetic Waves ◽

Fluid Model ◽

Wave Interaction ◽

Alfven Wave ◽

Lower Hybrid ◽

Threshold Condition ◽

Hybrid Wave ◽

Lower Hybrid Wave ◽

Two Fluid Model ◽

Two Fluid

This paper studies the nonlinear coupling between a large amplitude propagating lower-hybrid wave and two electromagnetic waves in a plasma. Using a two-fluid model and Vlasov and Maxwell's equations, we derive a dispersion relation governing this three-wave interaction process. It is shown that a finite wavenumber lower-hybrid pump can decay into a whistler and a kinetic Alfvén wave. Calculations of the threshold condition suggest that this decay process may occur both in the laboratory and in the ionosphere.

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ALFVÉN INTERIOR CRISIS

International Journal of Bifurcation and Chaos ◽

10.1142/s0218127404010606 ◽

2004 ◽

Vol 14 (07) ◽

pp. 2375-2380 ◽

Cited By ~ 11

Author(s):

F. A. BOROTTO ◽

A. C.-L. CHIAN ◽

E. L. REMPEL

Keyword(s):

Periodic Orbits ◽

Large Amplitude ◽

Numerical Study ◽

Alfven Wave ◽

Unstable Periodic Orbits ◽

Stable And Unstable Manifolds ◽

Laboratory Plasmas ◽

Derivative Nonlinear Schrödinger Equation ◽

Unstable Manifolds ◽

Low Dimensional

A numerical study of an interior crisis of a large-amplitude Alfvén wave described by the driven-dissipative derivative nonlinear Schrödinger equation, in the low-dimensional limit, is reported. An example of Alfvén interior crisis is characterized using the unstable periodic orbits and their associated invariant stable and unstable manifolds in the Poincaré plane. We suggest that this type of chaotic transition can be observed in space and laboratory plasmas.

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