Nonlinear electrostatic waves: oblique propagation

1981 ◽  
Vol 26 (3) ◽  
pp. 399-406 ◽  
Author(s):  
R. W. Jackson
Keyword(s):  
Acoustic Waves ◽  
Initial Conditions ◽  
Wave Form ◽  
Ion Acoustic Waves ◽  
Electrostatic Wave ◽  
Electrostatic Waves ◽  
Oblique Propagation ◽  
Ion Acoustic ◽  
Wave Forms ◽  
Fast Ion

The fluid equations for electrostatic wave forms propagating at small angles to a constant magnetic field are investigated. Both ion cyclotron and charge separation effects are included. Numerical results are given for initial conditions which are consistent with soliton formation. These results show a hybrid nonlinear wave form containing oscillations which are identified as short-wavelength fast ion-acoustic waves and long-wavelength slow ion-acoustic waves. An approximate analytic analysis is performed using the Bogoliubov–Krylov–Mitropolskii perturbation method.

scholarly journals Spiky parallel electrostatic ion cyclotron and ion acoustic waves

2002 ◽  
Vol 9 (1) ◽  
pp. 25-29 ◽  
Author(s):  
R. V. Reddy ◽  
G. S. Lakhina ◽  
N. Singh ◽  
R. Bharuthram
Keyword(s):  
Electric Fields ◽  
Acoustic Waves ◽  
Rest Frame ◽  
Wave Form ◽  
Ion Acoustic Waves ◽  
Parallel Propagation ◽  
Wave Phase Velocity ◽  
Ion Acoustic ◽  
Ion Cyclotron ◽  
Field Aligned Current

Abstract. One of the interesting observations from the FAST satellite is the detection of strong spiky waveforms in the parallel electric field in association with ion cyclotron oscillations in the perpendicular electric fields. We report here an analytical model of the coupled nonlinear ion cyclotron and ion-acoustic waves, which could explain the observations. Using the fluid equations for the plasma consisting of warm electrons and cold ions, a nonlinear wave equation is derived in the rest frame of the propagating wave for any direction of propagation oblique to the ambient magnetic field. The equilibrium bulk flow of ions is also included in the model to mimic the field-aligned current. Depending on the wave Mach number M defined by M = V/Cs with V and Cs being the wave phase velocity and ion-acoustic speed, respectively, we find a range of solutions varying from a sinusoidal wave form for small amplitudes and low M to sawtooth and highly spiky waveforms for nearly parallel propagation. The results from the model are compared with the satellite observations.

On the periodicity of ion-acoustic waves in an inhomogeneous plasma

1978 ◽  
Vol 20 (3) ◽  
pp. 345-350 ◽  
Author(s):  
M. D. Gunzburger
Keyword(s):  
Acoustic Waves ◽  
Subsonic Flow ◽  
Initial Conditions ◽  
Inhomogeneous Plasma ◽  
Ion Acoustic Waves ◽  
Ion Acoustic ◽  
Flow Speeds ◽  
Asymptotically Periodic ◽  
Moving Plasma ◽  
The Media

The existence of periodic ion-acoustic waves propagating through an inhomogeneous moving plasma is studied. For supersonic flow speeds it is shown that periodic excitations result in periodic responses independent of the nature of the media properties and the initial conditions. For subsonic flow speeds, periodic responses exist only under certain restrictions on the media and the initial conditions. However, most cases of physical interest are in the class of problems for which periodic or asymptotically periodic responses exist.

scholarly journals Convenient computational forms for the frequency and damping of electrostatic waves in an unmagnetized plasma

1989 ◽  
Vol 7 (1) ◽  
pp. 165-171 ◽  
Author(s):  
M. Casanova
Keyword(s):  
Acoustic Waves ◽  
Plasma Waves ◽  
Electron Plasma ◽  
Collisional Plasma ◽  
Ion Acoustic Waves ◽  
Electrostatic Waves ◽  
Empirical Expressions ◽  
Ion Acoustic ◽  
Damping Rate ◽  
Unmagnetized Plasma

Empirical expressions are proposed for the frequency and damping rate of electron plasma waves and ion acoustic waves in an unmagnetized, partly collisional plasma.

scholarly journals Experimental study of launched ion-acoustic waves in a plasma using continuous wave CO2 laser scattering

1983 ◽  
Vol 61 (8) ◽  
pp. 1231-1241 ◽  
Author(s):  
P. Brodeur ◽  
H. W. H. Van Andel ◽  
D. C. Schram ◽  
V. M. M. Glaude
Keyword(s):  
Acoustic Waves ◽  
Continuous Wave ◽  
Diagnostic Technique ◽  
Density Fluctuations ◽  
Plasma Parameters ◽  
Ion Acoustic Waves ◽  
Laser Scattering ◽  
Electrostatic Waves ◽  
Collective Scattering ◽  
Ion Acoustic

A study of coherent density fluctuations in a low density plasma using continuous wave CO2 laser scattering diagnostics is reported. A simple and direct description of collective scattering theory from monochromatic electrostatic waves is presented. The diagnostic technique is described in detail and its performance is analyzed. Experimental results on externally launched ion-acoustic waves are presented and it is demonstrated that accurate measurements of certain plasma parameters are possible.

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