Compact dispersion relation for parametric instabilities of electromagnetic waves in dusty plasmas

1995 ◽  
Vol 2 (5) ◽  
pp. 1506-1509 ◽  
Author(s):  
J. X. Ma ◽  
P. K. Shukla
Keyword(s):  
Dispersion Relation ◽  
Electromagnetic Waves ◽  
Dusty Plasmas ◽  
Parametric Instabilities

Drift-Alfvén waves at the arbitrary ion Larmor radius scale in dusty plasmas

2010 ◽  
Vol 76 (3-4) ◽  
pp. 553-557 ◽  
Author(s):  
O. G. ONISHCHENKO ◽  
O. A. POKHOTELOV ◽  
V. V. KRASNOSELSKIKH
Keyword(s):  
Nonlinear Dynamics ◽  
Fourier Transform ◽  
Dispersion Relation ◽  
Spatial Scales ◽  
Dusty Plasmas ◽  
Alfven Waves ◽  
Mhd Equations ◽  
Larmor Radius ◽  
Alfvén Waves ◽  
Linear Limit

AbstractA set of magneto-hydrodynamic (MHD) equations that govern the nonlinear dynamics of drift-Alfvén waves with arbitrary spatial scales in comparison with the ion Larmor radius is derived. It is shown that in the linear limit a Fourier transform of these equations yields the dispersion relation which in the so-called Padé approximation corresponds to the fully kinetic theory.

Resonant electromagnetic wave mixing in a dusty plasma

1996 ◽  
Vol 55 (3) ◽  
pp. 349-358 ◽  
Author(s):  
Jin-Xiu Ma ◽  
M. Y. Yu ◽  
P. K. Shukla
Keyword(s):  
Acoustic Waves ◽  
Electromagnetic Waves ◽  
Phase Conjugation ◽  
Four Wave Mixing ◽  
Dusty Plasmas ◽  
Wave Mixing ◽  
Ion Acoustic Waves ◽  
Charge Fluctuations ◽  
Dust Charge ◽  
Dust Charge Fluctuations

Wave mixing resulting from the resonance of electromagnetic waves with ion acoustic waves modified by dust charge fluctuations is investigated. The corresponding nonlinear susceptibilities are derived and applied to the study of phase conjugation by four-wave mixing. It is shown that dust charge fluctuations can lead to a filling-up of the resonance-induced splitting of the phase-conjugate reflectivity, making the latter a useful tool for the diagnostics of dusty plasmas.

scholarly journals Energy absorption effects of the electromagnetic waves in collisional dusty plasmas

AIP Advances ◽  
2019 ◽  
Vol 9 (11) ◽  
pp. 115205
Author(s):  
Zhibin Wang ◽  
Jinrong Li ◽  
Bowen Li ◽  
Qiuyue Nie ◽  
Zhonglin Zhang ◽  
...  
Keyword(s):  
Energy Absorption ◽  
Electromagnetic Waves ◽  
Dusty Plasmas

Parametric instabilities and localization of nonlinearly coupled electromagnetic modes in astrophysical dusty plasmas

2005 ◽  
Vol 72 (03) ◽  
pp. 397 ◽  
Author(s):  
P. K. SHUKLA ◽  
B. ELIASSON ◽  
I. KOURAKIS ◽  
L. STENFLO
Keyword(s):  
Dusty Plasmas ◽  
Parametric Instabilities

Stability of strong electromagnetic waves in overdense plasmas against long-wavelength perturbations

1985 ◽  
Vol 33 (2) ◽  
pp. 285-301 ◽  
Author(s):  
F. J. Romeiras ◽  
G. Rowlands
Keyword(s):  
Dispersion Relation ◽  
Nonlinear Waves ◽  
Electromagnetic Waves ◽  
Modulation Depth ◽  
Longitudinal Direction ◽  
Transverse Component ◽  
Ion Density ◽  
Long Wavelength ◽  
The Stability ◽  
Two Parameters

We consider the stability against long-wavelength small parallel perturbations of a class of exact standing wave solutions of the equations that describe an unmagnetized relativistic overdense cold electron plasma. The main feature of these nonlinear waves is a circularly polarized transverse component of the electric field periodically modulated in the longitudinal direction. Using an analytical method developed by Rowlands we obtain a dispersion relation valid for long-wavelength perturbations. This dispersion relation is a biquadratic equation in the phase velocity of the perturbations whose coefficients are very complicated functions of the two parameters used to define the nonlinear waves: the normalized ion density and a quantity related to the modulation depth. This dispersion relation is discussed for the whole range of the two parameters revealing, in particular, the existence of a region in parameter space where the nonlinear waves are stable.

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