Effect of spatially uniform external periodic magnetic field on wave propagation through a hot electron plasma

1971 ◽  
Vol 5 (2) ◽  
pp. 151-159 ◽  
Author(s):  
K. P. Das
Keyword(s):  
Magnetic Field ◽  
Wave Propagation ◽  
Dispersion Relation ◽  
Electron Plasma ◽  
Hydrodynamic Equations ◽  
Hot Electron ◽  
Periodic Magnetic Field ◽  
Excitation Conditions

Starting from hydrodynamic equations, a dispersion relation is obtained for wave propagation through a hot electron plasma perpendicular to a spatially uniform external periodic magnetic field, B0 cos ω0t, and several excitation conditions are deduced.

Wave propagation in a plasma in the presence of a spatially uniform external periodic magnetic field

1975 ◽  
Vol 13 (2) ◽  
pp. 327-334 ◽  
Author(s):  
K. P. Das
Keyword(s):  
Magnetic Field ◽  
Wave Propagation ◽  
Kinetic Equation ◽  
Dispersion Relation ◽  
Electric Field ◽  
Hydrodynamic Equations ◽  
Periodic Magnetic Field ◽  
Hot Plasma ◽  
Periodic Electric Field ◽  
Excitation Conditions

Starting from the kinetic equation and Maxwell's equations, a dispersion relation is obtained for wave propagation through a fully-ionized plasma along a spatially-uniform, external, periodic magnetic field B0 cos ω0t, and several excitation conditions are deduced. The parametri excitation of waves in a plasma by spatially uniform external periodic electric field has been considered by several authors (Aiev & Silim 1965; Montgomery & Alexeff 1966; Jackson 1967; Prasad 1967, 1968; Nishikawa 1968 a, b). The effect of spatially uniform external periodic magnetic field on wave propagation through a hot plasma was considered by Das (1971), who used hydrodynamic equations to study the effect of wave propagation perpendicular to a spatially-uniform, external, periodic magnetic field.

Wave propagation in the presence of a spatially uniform external periodic magnetic field in two-temperature plasma

1982 ◽  
Vol 28 (1) ◽  
pp. 93-101
Author(s):  
Sanjay Kumar Ghosh
Keyword(s):  
Magnetic Field ◽  
Wave Propagation ◽  
Fluid Model ◽  
Hydrodynamic Equations ◽  
Temperature Plasma ◽  
Uniform External Magnetic Field ◽  
Two Fluid Model ◽  
Excitation Conditions ◽  
Two Fluid ◽  
Two Temperature

Starting from the two-fluid model hydrodynamic equations, a dispersion relation is obtained for wave propagation through a two-temperature plasma perpendicular to the direction of the spatially uniform external magnetic field B0cosω0t and several excitation conditions are deduced.

Wave propagation in a moving plasma. Part 1. Wave propagation normal to the magnetic field and motion of the plasma along the magnetic field

1974 ◽  
Vol 11 (3) ◽  
pp. 389-395 ◽  
Author(s):  
D. N. Srivastava
Keyword(s):  
Magnetic Field ◽  
Wave Propagation ◽  
Dispersion Relation ◽  
Magnetic Fields ◽  
Plasma Frequency ◽  
Electron Plasma ◽  
Ordinary Wave ◽  
Moving Plasma ◽  
The Magnetic Field

The dispersion relation for a collisionless moving electron plasma, when the direction of motion is along the magnetic field, and that of the wave propagation normal to the magnetic field, is analysed. It is shown that in small magnetic fields the ordinary wave develops a new band of backward waves below the plasma frequency. When the frequency of the wave is higher than the plasma frequency, the effect of the motion of the plasma is identical to a deviation of the direction of propagation.

Wave propagation in a moving plasma: motion and wave propagation normal to the magnetic field

1973 ◽  
Vol 10 (2) ◽  
pp. 197-202
Author(s):  
D. N. Srivastava
Keyword(s):  
Magnetic Field ◽  
Wave Propagation ◽  
Dispersion Relation ◽  
Electron Plasma ◽  
Extraordinary Wave ◽  
Ordinary Wave ◽  
Phase Velocities ◽  
Small Phase ◽  
Moving Plasma ◽  
The Magnetic Field

The dispersion relation for a collisionless moving electron plasma when the directions of motion and wave propagation are normal to the magnetic field is analyzed. It is shown that the ordinary wave remains unaffected, but the extraordinary wave shows a different behaviour, especially at small phase velocities. It has different cut-off frequencies, propagates for all frequencies from zero to infinity, changes the sense of polarization accompanied by anomalous dispersion and does not show any resonance.

scholarly journals Wave propagation in the magnetized cores of white dwarf stars with ultra-relativistic degenerate electrons

2011 ◽  
Vol 77 (5) ◽  
pp. 571-575 ◽  
Author(s):  
P. K. SHUKLA ◽  
D. A. MENDIS ◽  
S. I. KRASHENINNIKOV
Keyword(s):  
Wave Propagation ◽  
Dispersion Relation ◽  
White Dwarf ◽  
Low Frequency ◽  
Hydrodynamic Equations ◽  
Dwarf Star ◽  
Dwarf Stars ◽  
White Dwarf Stars

AbstractWe discuss the dispersive properties of low-frequency electromagnetic (EM) perturbations in the magnetized core of self-gravitating white dwarf stars with ultra-relativistic degenerate electrons. For our purposes, we derive a dispersion relation by using the hydrodynamic equations for the ions under the action of EM and self-gravitating forces, and the inertialess electrons under the action of EM forces and the gradient of the ultra-relativistic pressure. The dispersion relation admits stability of a white dwarf star against a class of EM perturbations whose wavelengths are shorter than 15000 km.

Cyclotron instabilities of a magnetized electron plasma with anisotropic temperatures

1977 ◽  
Vol 17 (3) ◽  
pp. 453-465 ◽  
Author(s):  
C. Chiuderi ◽  
G. Einaudi ◽  
R. Giachetti
Keyword(s):  
Magnetic Field ◽  
Distribution Function ◽  
Dispersion Relation ◽  
Growth Rates ◽  
Linear Growth ◽  
Electron Plasma ◽  
Maxwellian Distribution ◽  
Analytical Treatment ◽  
Maxwellian Distribution Function ◽  
Instability Regions

The dispersion relation for an electron plasma in a magnetic field is investigated for a bi-Maxwellian distribution function. A new set of solutions for non-perpendicular propagation is found. The linear growth rates are computed and the instability regions in the (k, cos θ) plane are determined. An approximate analytical treatment of the problem is also given for certain ranges of the parameters.

Stability of Viscous Rotating Gravitating Streams in a Magnetic Field

2006 ◽  
Vol 61 (5-6) ◽  
pp. 258-262
Author(s):  
Prem Kumar Bhatia ◽  
Ravi Prakash Mathur
Keyword(s):  
Magnetic Field ◽  
Wave Propagation ◽  
Dispersion Relation ◽  
Horizontal Magnetic Field ◽  
The Stability ◽  
The Magnetic Field ◽  
Perturbation Equations

We have studied the stability of two superposed viscous compressible gravitating streams rotating about an axis perpendicular to the direction of a horizontal magnetic field. For wave propagation parallel to the direction of the magnetic field the dispersion relation is derived by solving the linearized perturbation equations. Both the viscosity and rotation are found to suppress the instability of the system

Non-linear wave propagation in a hot-electron plasma

1991 ◽  
Vol 88 (3-4) ◽  
pp. 141-152 ◽  
Author(s):  
V. D. Sharma ◽  
R. R. Sharma ◽  
B. D. Pandey ◽  
N. Gupta
Keyword(s):  
Wave Propagation ◽  
Electron Plasma ◽  
Linear Wave ◽  
Hot Electron ◽  
Non Linear ◽  
Linear Wave Propagation

Linear stability of Vlasov–Poisson electron plasma in crossed fields. Perturbations propagating parallel to the magnetic field

1988 ◽  
Vol 40 (3) ◽  
pp. 535-543 ◽  
Author(s):  
Hee-Jae Lee ◽  
D. J. Kaup ◽  
Gary E. Thomas
Keyword(s):  
Magnetic Field ◽  
Temperature Distribution ◽  
Dispersion Relation ◽  
Linear Stability ◽  
Electron Density ◽  
Electron Plasma ◽  
Eigenvalue Equation ◽  
Planar Magnetron ◽  
The Magnetic Field

It is shown that electrostatic Vlasov–Poisson perturbations that propagate parallel to the magnetic field in a planar magnetron are stable for both an isotropic and also for a particular anisotropic (Ty = 3Tx) temperature distribution. The inhomogeneity of the electron density is fully incorporated in the analysis. The proof makes use of only the dispersion relation of Trivelpiece–Gould type, without actually solving the eigenvalue equation. These results suggest, not unexpectedly, that these modes should be stable for all such anisotropic velocity distributions.

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