scholarly journals Linearized electrodynamics and stabilization of a cold magnetized plasma

2021 ◽  
Author(s):  
Simon Labrunie ◽  
Ibtissem Zaafrani
Keyword(s):  
Exponential Stability ◽  
Spectral Properties ◽  
Electromagnetic Waves ◽  
Maxwell Model ◽  
Magnetized Plasma ◽  
Maxwell System ◽  
Polynomial Stability ◽  
Plasma Properties ◽  
Homogeneity Assumption ◽  
Time Harmonic

We consider a linearized Euler--Maxwell model for the propagation and absorption of electromagnetic waves in a magnetized plasma. We present the derivation of the model, and we show its well-posedeness, its strong and polynomial stability under suitable and fairly general assumptions, its exponential stability in the same conditions as the Maxwell system, and finally its convergence to the time-harmonic regime. No homogeneity assumption is made, and the topological and geometrical assumptions on the domain are minimal. These results appear strongly linked to the spectral properties of various matrices describing the anisotropy and other plasma properties.

Exact solutions for transverse electromagnetic wave propagation in a cylindrically stratified axially magnetized plasma

1969 ◽  
Vol 66 (1) ◽  
pp. 129-143 ◽  
Author(s):  
B. S. Westcott
Keyword(s):  
Exact Solutions ◽  
Electromagnetic Waves ◽  
Cylindrical Symmetry ◽  
Magnetized Plasma ◽  
Plasma Properties ◽  
Special Cases ◽  
Isotropic Media ◽  
Transcendental Functions ◽  
Transverse Electromagnetic ◽  
Transverse Propagation

AbstractThe equations describing transverse propagation of electromagnetic waves in a cylindrically stratified plasma, in which a static magnetic field is imposed parallel to the axis of cylindrical symmetry, are examined. A systematic method developed previously for isotropic media, Heading (3), Westcott (6) is adapted to yield generalized proffles relating to the plasma properties. These proffles are capable of producing exact solutions for the field distribution in terms of standard transcendental functions. Previously known proffles appear as special cases of the analysis.

A NEW COMPACTNESS RESULT FOR ELECTROMAGNETIC WAVES: APPLICATION TO THE TRANSMISSION PROBLEM BETWEEN DIELECTRICS AND METAMATERIALS

2008 ◽  
Vol 18 (09) ◽  
pp. 1605-1631 ◽  
Author(s):  
A.-S. BONNET-BEN DHIA ◽  
P. CIARLET ◽  
C. M. ZWÖLF
Keyword(s):  
Electric Fields ◽  
Variational Formulation ◽  
Electromagnetic Waves ◽  
Maxwell Equations ◽  
Opposite Sign ◽  
Wave Transmission ◽  
Transmission Problem ◽  
Maxwell System ◽  
Compactness Result ◽  
Time Harmonic

We consider the time-harmonic Maxwell equations, involving wave transmission between media with opposite sign dielectric and/or magnetic coefficients. We prove that, in the case of sign-shifting dielectric coefficients, the space of electric fields is compactly embedded in L2. We build a three-field variational formulation equivalent to Maxwell system for sign-shifting magnetic coefficients and show that, under some suitable conditions, the formulation fits into the coercive plus compact framework.

Filamentation instability of electromagnetic waves in a magnetized plasma

1991 ◽  
Vol 43 (1) ◽  
pp. 74-77
Author(s):  
R Bharuthram ◽  
P Singh
Keyword(s):  
Electromagnetic Waves ◽  
Magnetized Plasma ◽  
Filamentation Instability

Propagation of Electromagnetic Waves in Graphene-Wrapped Cylindrical Waveguides Filled With Magnetized Plasma

Optik ◽  
2021 ◽  
pp. 167566
Author(s):  
Muhammad Usman Shahid ◽  
Abdul Ghaffar ◽  
Majeed A.S. Alkanhal ◽  
Yasin Khan
Keyword(s):  
Electromagnetic Waves ◽  
Magnetized Plasma ◽  
Cylindrical Waveguides

Propagation of terahertz electromagnetic waves in a magnetized plasma with inhomogeneous electron density and collision frequency

2017 ◽  
Vol 24 (2) ◽  
pp. 022108 ◽  
Author(s):  
LinJing Guo ◽  
LiXin Guo ◽  
JiangTing Li
Keyword(s):  
Electron Density ◽  
Electromagnetic Waves ◽  
Collision Frequency ◽  
Magnetized Plasma

Scattering of electromagnetic waves by anomalous fluctuations of a magnetized plasma

1990 ◽  
Vol 43 (2) ◽  
pp. 165-172 ◽  
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.

scholarly journals Error Analysis of a Finite Element--Integral Equation Scheme for Approximating the Time-Harmonic Maxwell System

2002 ◽  
Vol 40 (1) ◽  
pp. 198-219 ◽  
Author(s):  
G. C. Hsiao ◽  
P. B. Monk ◽  
N. Nigam
Keyword(s):  
Integral Equation ◽  
Finite Element ◽  
Error Analysis ◽  
Maxwell System ◽  
Time Harmonic

Scattering of a Plane Elastic Wave From Objects Near an Interface

1972 ◽  
Vol 39 (4) ◽  
pp. 1019-1026 ◽  
Author(s):  
Stephen B. Bennett
Keyword(s):  
Elastic Wave ◽  
Electromagnetic Waves ◽  
Three Dimensions ◽  
Circular Cylinders ◽  
Scattering Problems ◽  
Reflection And Refraction ◽  
Time Harmonic ◽  
Incident Plane ◽  
Boundary Curves ◽  
Consistent Formulation

The displacement field generated by the reflection and refraction of plane (time harmonic) elastic waves by finite obstacles of arbitrary shape, in the neighborhood of a plane interface between two elastic media, is investigated. The technique employed allows a consistent formulation of the problem for both two and three dimensions, and is not limited either to boundary shapes which are level surfaces in appropriate coordinate systems, i.e., circular cylinders, spheres, etc., or to closed boundary curves or surfaces. The approach is due to Twersky, and has been applied to many problems of the scattering of electromagnetic waves. The method consists of expressing the net field due to all multiple scattering in terms of the field reflected from each boundary in isolation when subjected to an incident plane elastic wave. Thus the technique makes use of more elemental scattering problems whose solutions are extant. By way of illustration, a numerical solution to the scattering of a plane elastic wave by a rigid circular cylindrical obstacle adjacent to a plane free surface is considered.

Scattering of Electromagnetic Waves by a Nonuniform Magnetized Plasma Column

1970 ◽  
Vol 13 (4) ◽  
pp. 1112 ◽  
Author(s):  
R. A. Greenwald
Keyword(s):  
Plasma Column ◽  
Electromagnetic Waves ◽  
Magnetized Plasma

scholarly journals STATISTICAL MOMENTS AND SCINTILLATION LEVEL OF SCATTERED ELECTROMAGNETIC WAVES IN THE MAGNETIZED PLASMA

2018 ◽  
Vol 84 ◽  
pp. 11-22 ◽  
Author(s):  
George Jandieri ◽  
Akira Ishimaru ◽  
Banmali Rawat ◽  
Vladimir George Gavrilenko ◽  
Oleg Kharshiladze
Keyword(s):  
Electromagnetic Waves ◽  
Magnetized Plasma ◽  
Statistical Moments
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