Nonlinear theory of a whistler wave

1975 ◽  
Vol 14 (3) ◽  
pp. 543-549 ◽  
Author(s):  
Takashi Yamamoto
Keyword(s):  
Growth Rate ◽  
Pitch Angle ◽  
Particle Distribution ◽  
Whistler Wave ◽  
Finite Width ◽  
Whistler Mode ◽  
Mode Spectrum ◽  
Numerical Result ◽  
Orbit Model ◽  
Resonance Function

Using the Dupree—Weinstock perturbed-orbit model of plasma turbulence, we obtain the diffusion equation describing the evolution of the average one-particle distribution function for whistler mode turbulence. The numerical result for electron pitch-angle diffusion within this scheme leads us to conclude that the effect of the resonance broadening due to perturbed orbits on the pitch-angle diffusion coefficient is not large compared with that evaluated by the unperturbed orbit in the whistler mode spectrum with a finite width. Based on the explicitly evaluated resonance function, the effects of this broadening on the growth rate for the whistler wave are also discussed.

Excitation of whistler mode instability due to slow cyclotron interaction in an inhomogenous beam–plasma System

1984 ◽  
Vol 31 (2) ◽  
pp. 225-229 ◽  
Author(s):  
H. A. Shah ◽  
V. K. Jain
Keyword(s):  
Growth Rate ◽  
Inhomogeneous Plasma ◽  
Whistler Wave ◽  
Wave Instability ◽  
Mode Instability ◽  
Plasma System ◽  
Whistler Mode ◽  
Beam Plasma ◽  
Slow Cyclotron ◽  
Dielectric Tensors

The excitation of whistler wave instability due to slow cyclotron (m = – 1) interaction in an inhomogeneous plasma penetrated by an inhomogeneous beam of electrons is studied. Expressions are obtained for the elements of the plasma and beam dielectric tensors. It is shown that the inhomogeneity in both beam and plasma number densities affects the growth rate of the instability.

scholarly journals Interaction of an electron beam with whistler waves in magnetoplasmas

2015 ◽  
Vol 33 (3) ◽  
pp. 455-461 ◽  
Author(s):  
Ruby Gupta ◽  
Ved Prakash ◽  
Suresh C. Sharma ◽  
Vijayshri
Keyword(s):  
Magnetic Field ◽  
Growth Rate ◽  
Electron Beam ◽  
Whistler Wave ◽  
Wave Number ◽  
Whistler Waves ◽  
Parallel Beam ◽  
Whistler Mode ◽  
Beam Velocity ◽  
The Magnetic Field

AbstractThe present paper studies the whistler wave interaction with an electron beam propagating through magnetized plasma. A dispersion relation of whistler waves has been derived, and first-order perturbation theory has been employed to obtain the growth rate of whistlers in the presence of parallel as well as oblique electron beam. For whistler waves propagating parallel to the magnetic field, that is, parallel whistlers, only the cyclotron resonance appears with a parallel beam, while for whistler waves propagating at an angle to the magnetic field, that is, oblique whistlers interaction with parallel beam or parallel whistlers interaction with oblique beam, the Cerenkov and the cyclotron resonances both appear. The growth rate is found to increase with an increase in the transverse component of beam velocity and with an increase in the strength of magnetic field. The whistler wave frequency decreases with an increase in the beam velocity. The obliqueness of the whistler mode modifies its dispersion characteristics as well as growth rate of the instability. For purely parallel-propagating beams, it is essential for the growth of whistler mode that the wave number perpendicular to the magnetic field should not be zero. The results presented may be applied to explain the mechanisms of the whistler wave excitation in space plasma.

Electron Pitch Angle Distributions in the Compressional Pc5 Waves

2021 ◽  
Author(s):  
Xiao Ma ◽  
Anmin Tian ◽  
Quanqi Shi ◽  
Shichen Bai ◽  
Ji Liu ◽  
...  
Keyword(s):  
Pitch Angle ◽  
Interaction Effects ◽  
Plasma Pressure ◽  
Whistler Waves ◽  
Whistler Mode ◽  
Compressional Waves ◽  
The Earth ◽  
Pressure Anisotropy ◽  
Electron Distributions ◽  
Whistler Mode Waves

<p>In the two flanks of the Earth’s magnetosphere, the compressional Pc5 waves are often observed. Previous study suggests that these waves are usually excited by plasma pressure anisotropy such as drift mirror instability. Interestingly, whistler mode waves are often observed in the magnetic trough regions of the compressional Pc5 waves. In this study, we use 10 years (2007-2016) THEMIS A data to study the electron distributions in the compressional Pc5 waves associated with the whistler mode waves. We find three typical electron pitch angle distributions (PADs) in these compressional waves: cigar-shape, donut-shape and pancake-shape. They predominantly occur at tens to hundreds eV, several keV and >10 keV, respectively. The interaction effects between the electrons and whistler waves inside the magnetic troughs are stressed in understanding the formation of these PADs.</p>

Nonlinear scattering of whistlers by lower hybrid and ion Bernstein modes

1980 ◽  
Vol 23 (1) ◽  
pp. 141-146 ◽  
Author(s):  
M. S. Sodha ◽  
R. R. Sharma ◽  
V. K. Tripathi
Keyword(s):  
Growth Rate ◽  
Fluid Model ◽  
Whistler Wave ◽  
The Other ◽  
Lower Hybrid ◽  
Nonlinear Scattering ◽  
Stimulated Scattering ◽  
Homogeneous Plasma ◽  
Hybrid Waves ◽  
Lower Hybrid Waves

Following the fluid model for the response of electrons, it is shown that a high-power whistler wave decays efficiently into a lower hybrid or a Bernstein mode and a scattered whistler wave in a homogeneous plasma. The thresholds for these channels of stimulated scattering are generally low. However, the channel of scattering involving lower hybrid waves is possible only for scattering angles exceeding ¼π. The other channel involving Bernstein modes is possible at shorter scattering angles but the growth rate is relatively small and the threshold is high.

scholarly journals Evidence of stronger pitch angle scattering loss caused by oblique whistler-mode waves as compared with quasi-parallel waves

2014 ◽  
Vol 41 (17) ◽  
pp. 6063-6070 ◽  
Author(s):  
W. Li ◽  
D. Mourenas ◽  
A. V. Artemyev ◽  
O. V. Agapitov ◽  
J. Bortnik ◽  
...  
Keyword(s):  
Pitch Angle ◽  
Whistler Mode ◽  
Scattering Loss ◽  
Angle Scattering ◽  
Whistler Mode Waves

Electron whistler mode instability in an inhomogeneous thermal plasma in the presence of an inhomogeneous beam of suprathermal electrons

1983 ◽  
Vol 29 (3) ◽  
pp. 439-448 ◽  
Author(s):  
H.A. Shah ◽  
V.K. Jain
Keyword(s):  
Magnetic Field ◽  
Growth Rate ◽  
Dispersion Relation ◽  
Thermal Plasma ◽  
Uniform Magnetic Field ◽  
Inhomogeneous Plasma ◽  
Mode Instability ◽  
Whistler Mode ◽  
Suprathermal Electrons ◽  
Whistler Mode Waves

The excitation of the whistler mode waves propagating obliquely to the constant and uniform magnetic field in a warm and inhomogeneous plasma in the presence of an inhomogeneous beam of suprathermal electrons is studied. The full dispersion relation including electromagnetic effects is derived. In the electrostatic limit the expression for the growth rate is given. It is found that the inhomogeneities in both beam and plasma number densities affect the growth rates of the instabilities.

Wave–particle interaction and enhanced precipitation of charged particles

1985 ◽  
Vol 63 (4) ◽  
pp. 445-452
Author(s):  
R. N. Singh ◽  
R. Prasad
Keyword(s):  
Electric Fields ◽  
Geomagnetic Field ◽  
Pitch Angle ◽  
Electron Flux ◽  
Particle Interaction ◽  
Charged Particles ◽  
Lower Ionosphere ◽  
Wave Interaction ◽  
Whistler Wave ◽  
Inhomogeneity Parameter

In addition to parallel electric fields, the distortions in the geomagnetic field have been considered in the study of resonant whistler wave interaction with gyrating charged particles. Mead axisymmetric distortions in the geomagnetic field have been considered and new expressions for the inhomogeneity parameter, αd, have been obtained. Considering the diffusion of charged particles in pitch angle, the variation in the precipitating electron flux under varying magnetospheric conditions has been computed. The variation in the distribution of trapped charged particles is shown to play an important role in controlling the electron flux precipitated into the lower ionosphere.

Monte Carlo Simulation of Neoclassical Transport in Axisymmetric and Ripple Tokamaks

1982 ◽  
Vol 37 (8) ◽  
pp. 899-905 ◽  
Author(s):  
W. Lötz ◽  
J. Nührenberg
Keyword(s):  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Electric Field ◽  
Pitch Angle ◽  
Particle Distribution ◽  
Transport Coefficients ◽  
Angle Scattering ◽  
Wide Range ◽  
Neoclassical Transport

Simple axisymmetric and ripple tokamak model fields are used to compute neoclassical trans-port coefficients by Monte Carlo simulation over a wide range of mean free paths in the approximation of small gyroradius. Further assumptions are a monoenergetic particle distribution which is only subject to pitch angle scattering and a vanishing electric field. Pfirsch-Schlüter, plateau, banana and ripple transport coefficients are obtained. In the ripple regime the description is unified by introducing the concept of an effective ripple. Cases in which ripple transport is diminished due to collisionless detrapping are observed

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