Dispersion Relation of Drift-Wave Instability in a Collisionless Plasma with Sheared Magnetic Field

1984 ◽  
Vol 23 (Part 1, No. 4) ◽  
pp. 475-481 ◽  
Author(s):  
Akio Komori ◽  
Noriyoshi Sato
Keyword(s):  
Magnetic Field ◽  
Dispersion Relation ◽  
Collisionless Plasma ◽  
Wave Instability ◽  
Drift Wave

An analytical method for the investigation of instability of a collisionless plasma in strong magnetic fields

1993 ◽  
Vol 50 (2) ◽  
pp. 185-189
Author(s):  
V. U. Zakharov
Keyword(s):  
Magnetic Field ◽  
Steady State ◽  
Dispersion Relation ◽  
Stability Condition ◽  
Analytical Method ◽  
Small Amplitude ◽  
Collisionless Plasma ◽  
Dispersion Relations ◽  
Strong Magnetic Fields ◽  
Hydromagnetic Waves

An analytical method for the investigation of special types of dispersion relations is presented. In particular, analysis of the propagation of small- amplitude hydromagnetic waves in a collisionless plasma in a strong magnetic field leads to such dispersion relations. The fifth-degree dispersion relation corresponding to a particular case is considered. The necessary stability condition for a steady state and conditions for the degeneration of small- amplitude waves are derived. A comparison with other methods for the analysis of similar dispersion relations is also presented.

Particle aspect analysis of drift wave in the presence of inhomogeneous magnetic field

1985 ◽  
Vol 34 (1) ◽  
pp. 163-175 ◽  
Author(s):  
M. S. Tiwari ◽  
R. P. Pandey ◽  
K. D. Misra
Keyword(s):  
Magnetic Field ◽  
Growth Rate ◽  
Dispersion Relation ◽  
Magnetic Field Gradient ◽  
Inhomogeneous Magnetic Field ◽  
Temperature Anisotropy ◽  
Plasma Parameters ◽  
Drift Wave ◽  
Effects Of Temperature ◽  
Particle Aspect Analysis

The theory of particle aspect analysis is extended to the drift wave in the presence of an inhomogeneous magnetic field. The dispersion relation and growth rate of the wave are evaluated and discussed when the magnetic field gradient is directed opposite to the density gradient. The plasma under consideration is assumed to be anisotropic and the effects of temperature anisotropy on the dispersion characteristics and growth rate of the wave are also studied. The dispersion relation and the growth rate are evaluated for the space plasma parameters.

scholarly journals Compton and Raman free electron laser stability properties for a cold electron beam propagating through a helical magnetic wiggler

1985 ◽  
Vol 33 (3) ◽  
pp. 387-423 ◽  
Author(s):  
John A. Davies ◽  
Ronald C. Davidson ◽  
George L. Johnston
Keyword(s):  
Magnetic Field ◽  
Electron Beam ◽  
Dispersion Relation ◽  
Free Electron ◽  
Free Electron Laser ◽  
Relativistic Electron Beam ◽  
Cold Electron ◽  
Wiggler Magnetic Field ◽  
Laser Stability

This paper gives an extensive characterization of the range of validity of the Compton and Raman approximations to the exact free electron laser dispersion relation for a cold, relativistic electron beam propagating through a constantamplitude helical wiggler magnetic field. The electron beam is treated as infinite in transverse extent. Specific properties of the exact and approximate dispersion relations are investigated analytically and numerically. In particular, a detailed numerical analysis is carried out to determine the range of validity of the Compton approximation.

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