Decay instability of cirularly polarized waves into cirularly polarized and Langmuir waves in a magnetized plasma

A study is made of a parametric instability in a magnetized plasma in which an electromagnetic pump wave of either right- or left-hand circular polarization decays into a Langmuir wave and another circularly polarized wave, all with wave vectors colinear with the external magnetic field. The analysis is based on a multiple-time-scale perturbation expansion of the fluid equations, incorporating the effects of temperature, collisions, and the spatial variation of the pump wave. The threshold values of the pump field intensity required for instability and the growth rates above threshold are calculated.

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Stimulated Raman backscattering in a magnetized plasma

Journal of Plasma Physics ◽

10.1017/s0022377800023278 ◽

1978 ◽

Vol 19 (2) ◽

pp. 313-324 ◽

Cited By ~ 12

Author(s):

Joseph E. Willett ◽

Behrooz Maraghechi

Keyword(s):

Cold Plasma ◽

Pump Wave ◽

Electron Plasma ◽

Magnetized Plasma ◽

Threshold Power ◽

Pump Frequency ◽

Electron Plasma Wave ◽

Parametric Decay ◽

Electromagnetic Pump ◽

Stimulated Raman Backscattering

The parametric decay of an intense electromagnetic (pump) wave into a back-scattered electromagnetic wave and an electron plasma wave is considered. The dispersion relation for a homogeneous magnetized plasma in the presence of the pump wave is developed in the cold-plasma approximation with the pump frequency large compared to the cyclotron and plasma frequencies. Formulae are derived for the growth rate γ and threshold power PT associated with the instability. The effects of the magnitude and direction of the static magnetic field on γ and PT are studied numerically.

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Parametric Instabilities in a Magnetized Plasma

Australian Journal of Physics ◽

10.1071/ph820409 ◽

1982 ◽

Vol 35 (4) ◽

pp. 409

Author(s):

Bhimsen K Shivamoggi

Keyword(s):

Magnetic Field ◽

Pump Wave ◽

Stimulated Raman Scattering ◽

Brillouin Scattering ◽

Magnetized Plasma ◽

Stimulated Scattering ◽

Electromagnetic Pump ◽

Background Magnetic Field ◽

Parametric Instabilities ◽

Stimulated Brillouin

This paper makes a study of stimulated Raman scattering and stimulated Brillouin scattering of an incident electromagnetic pump wave in a magnetized plasma. The background magnetic field is taken to be parallel to the pump electric field. The growth rates of the two stimulated-scattering instabilities are found to be reduced in the presence of the background magnetic field.

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Generation of terahertz radiation by beating of two laser beams in collisional magnetized plasma

Laser and Particle Beams ◽

10.1017/s0263034616000513 ◽

2016 ◽

Vol 34 (4) ◽

pp. 569-575 ◽

Cited By ~ 5

Author(s):

A. Hematizadeh ◽

S.M. Jazayeri ◽

B. Ghafary

Keyword(s):

Magnetic Field ◽

Magnetized Plasma ◽

Laser Beams ◽

Thz Radiation ◽

Plasma Parameters ◽

Circularly Polarized ◽

Left Hand ◽

Polarized Waves ◽

Radiation Generation ◽

The Magnetic Field

AbstractThis paper presents analytical calculations for terahertz (THz) radiation by beating of two cosh-Gaussian laser beams in a density rippled collisional magnetized plasma. Lasers beams exert a ponderomotive force on the electrons of plasma in beating frequency which generates THz waves. The magnetic field was considered parallel to the direction of lasers which leads to propagate right-hand circularly polarized or left-hand circularly polarized waves in the plasma depending on the phase matching conditions. Effects of collision frequency, decentered parameter of lasers and the magnetic field strength are analyzed for THz radiation generation. By the optimization of laser and plasma parameters, the efficiency of order 27% can be achieved.

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Scattering of electromagnetic waves in a magnetized plasma with an HF pump

Journal of Plasma Physics ◽

10.1017/s0022377801001581 ◽

2002 ◽

Vol 67 (5) ◽

pp. 309-320 ◽

Cited By ~ 3

Author(s):

V. N. PAVLENKO ◽

V. G. PANCHENKO ◽

S. A. NAZARENKO

Keyword(s):

Cross Sections ◽

Electromagnetic Waves ◽

Pump Wave ◽

Parametric Instability ◽

Density Fluctuations ◽

Magnetized Plasma ◽

Lower Hybrid ◽

Ion Temperature ◽

Temperature Anisotropy ◽

Transverse Electromagnetic

The scattering of transverse electromagnetic waves by turbulent density fluctuations in a magnetized plasma in the presence of external pump fields is investigated. The case where a lower-hybrid pump wave decays into daughter and ion-cyclotron waves in a plasma with ion-temperature anisotropy is considered. The situation where an upper-hybrid pump wave parametrically excites modified convective cells and electron drift waves is also analyzed. The differential scattering cross-sections in the region above the parametric instability thresholds for these three cases are calculated.

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Influence of Inhomogeneity on Transformation and Radiation Processes in Plasma with Upper Hybrid Pump

Ukrainian Journal of Physics ◽

10.15407/ujpe64.9.814 ◽

2019 ◽

Vol 64 (9) ◽

pp. 814

Author(s):

V. G. Panchenko ◽

P. V. Porytsky

Keyword(s):

Pump Wave ◽

Inhomogeneous Plasma ◽

Parametric Instability ◽

Langmuir Wave ◽

Wave Transformation ◽

Transformation Coefficient ◽

Radiation Emission ◽

Parametric Decay ◽

Radiation Processes ◽

Transverse Electromagnetic

On the basis of the kinetic theory of fluctuations, the processes of the longitudinal Langmuir wave transformation into a transverse electromagnetic wave in the turbulent inhomogeneous plasma have been studied. The plasma turbulence is assumed to arise owing to the parametric decay of the upper hybrid pump wave into a daughter wave and electron-drift oscillations. The transformation coefficient under the parametric instability saturation conditions is determined. The intensity of the electromagnetic radiation emission from the plasma is calculated, and its dependence on the plasma and pump wave parameters is found.

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Parametric instabifity of transverse and Langmuir waves in a plasma

Journal of Plasma Physics ◽

10.1017/s0022377800026076 ◽

1975 ◽

Vol 13 (2) ◽

pp. 317-326 ◽

Cited By ~ 2

Author(s):

Kai Fong Lee

Keyword(s):

Growth Rate ◽

Electromagnetic Field ◽

Kinetic Model ◽

Multiple Time ◽

Multiple Time Scale ◽

Threshold Intensity ◽

Langmuir Waves ◽

Scale Perturbation ◽

The Subject ◽

Parametric Instabilities

The parametric excitation of transverse and Langmuir waves by an externally-driven electromagnetic field of frequency (ω0 > 2ωp) in a warm and collisional plasma is studied, using the fluid equations. By an application of the multiple- time-scale perturbation method, the threshold intensity and the growth rate above threshold are obtained. The results are compared with those of Goldman (1969) and Prasad (1968), both of whom worked with a kinetic model.The theory of parametric instabilities in plasmas has been the subject of numerous investigations in recent years. Broadly speaking, the instabilities can be grouped into two categories: those for which the excited waves are purely electrostatic (see e.g. DuBois & Goldman 1965, 1967; Silin 1965; Lee & Su 1966; Jackson 1967; Nishikawa 1968; Kaw & Dawson 1969; Tzoar 1969; Sanmartin 1970; McBride 1970; Perkins & Flick 1971; Fejer & Leer 1972a, b; Bezzerides & Weinstock 1972; DuBois & Goldman 1972), and those for which one of the excited waves is electromagnetic (see e.g. Goldman & Dubois 1965; Montgomery & Alexeff 1966; Chen & Lewak 1970; Bodner & Eddleman 1972; Fejer & Leer 1972b; Lee & Kaw 1972; Forslund et al. 1972).

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Scattering of electromagnetic waves by anomalous fluctuations of a magnetized plasma

Journal of Plasma Physics ◽

10.1017/s0022377800014719 ◽

1990 ◽

Vol 43 (2) ◽

pp. 165-172 ◽

Cited By ~ 6

Author(s):

V. N. Pavlenko ◽

V. G. Panchenko

Keyword(s):

Cross Section ◽

Electromagnetic Waves ◽

Pump Wave ◽

Density Fluctuations ◽

Scattering Cross Section ◽

Magnetized Plasma ◽

Lower Hybrid ◽

Scattering Cross ◽

Parametric Decay ◽

Ion Acoustic

Fluctuations and scattering of transverse electromagnetic waves by density fluctuations in a magnetized plasma in the presence of parametric decay of the pump wave are investigated. The spectral density of electron-density fluctuations is calculated. It is shown that the differential scattering cross-section has sharp maxima at the ion-acoustic and lower-hybrid frequencies when parametric decay of the lower-hybrid pump wave occurs. We note that scattering at the ion-acoustic frequency is dominant. When the pump-wave amplitude tends to the threshold strength of the electric field the scattering cross-section increases anomalously, i.e. there is critical opalescence.

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Stability of ion–acoustic solitary waves in a multi-species magnetized plasma consisting of non-thermal and isothermal electrons

Journal of Plasma Physics ◽

10.1017/s0022377809008113 ◽

2009 ◽

Vol 75 (5) ◽

pp. 593-607 ◽

Cited By ~ 1

Author(s):

SK. ANARUL ISLAM ◽

A. BANDYOPADHYAY ◽

K. P. DAS

Keyword(s):

Stability Analysis ◽

Solitary Wave ◽

Solitary Waves ◽

Perturbation Expansion ◽

Magnetized Plasma ◽

Wave Number ◽

First Order ◽

Zk Equation ◽

Ion Acoustic Solitary Waves ◽

Ion Acoustic

AbstractA theoretical study of the first-order stability analysis of an ion–acoustic solitary wave, propagating obliquely to an external uniform static magnetic field, has been made in a plasma consisting of warm adiabatic ions and a superposition of two distinct populations of electrons, one due to Cairns et al. and the other being the well-known Maxwell–Boltzmann distributed electrons. The weakly nonlinear and the weakly dispersive ion–acoustic wave in this plasma system can be described by the Korteweg–de Vries–Zakharov–Kuznetsov (KdV-ZK) equation and different modified KdV-ZK equations depending on the values of different parameters of the system. The nonlinear term of the KdV-ZK equation and the different modified KdV-ZK equations is of the form [φ(1)]ν(∂φ(1)/∂ζ), where ν = 1, 2, 3, 4; φ(1) is the first-order perturbed quantity of the electrostatic potential φ. For ν = 1, we have the usual KdV-ZK equation. Three-dimensional stability analysis of the solitary wave solutions of the KdV-ZK and different modified KdV-ZK equations has been investigated by the small-k perturbation expansion method of Rowlands and Infeld. For ν = 1, 2, 3, the instability conditions and the growth rate of instabilities have been obtained correct to order k, where k is the wave number of a long-wavelength plane-wave perturbation. It is found that ion–acoustic solitary waves are stable at least at the lowest order of the wave number for ν = 4.

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