Electromagnetic waves in a cold electron plasma

1994 ◽  
pp. 66-96
Keyword(s):  
Electromagnetic Waves ◽  
Electron Plasma ◽  
Cold Electron

Stability of strong electromagnetic waves in overdense plasmas

1982 ◽  
Vol 27 (2) ◽  
pp. 239-259 ◽  
Author(s):  
F. J. Romeiras
Keyword(s):  
Nonlinear Waves ◽  
Electromagnetic Waves ◽  
Longitudinal Direction ◽  
Electron Plasma ◽  
Cold Electron ◽  
Small Perturbations ◽  
Circularly Polarized ◽  
Instability Growth ◽  
Linear Differential ◽  
The Stability

We consider the stability against small perturbations of a class of exact wave solutions of the equations that describe an unmagnetized relativistic cold electron plasma. The main feature of these nonlinear waves is a transverse circularly polarized electric field with periodic amplitude modulation in the longitudinal direction. Floquet's theory of linear differential equations with periodic coefficients is used to solve the perturbation equations and obtain the instability growth rates.

scholarly journals Медленные электромагнитные волны в левой среде на основе магнитоактивного плазменного метаматериала

2020 ◽  
Vol 46 (24) ◽  
pp. 33
Author(s):  
А.В. Богомолова ◽  
С.В. Гришин ◽  
Ю.П. Шараевский
Keyword(s):  
Electromagnetic Waves ◽  
Theoretical Study ◽  
Electron Plasma ◽  
Ring Resonators ◽  
Active Plasma ◽  
Cold Electron ◽  
Split Ring ◽  
Left Handed ◽  
Study Results ◽  
Strip Waveguide

The paper presents the theoretical study results of the control of the spectrum of slow electromagnetic waves (EMWs) existing in a “left-handed” medium based on a magnetically active plasma metamaterial. The investigated metamaterial is a strip waveguide completely filled with a longitudinally magnetized “cold” electron plasma, containing a periodic structure of perfectly conducting split-ring resonators (SRRs). It is shown that either one (ordinary), either two (ordinary and unordinary) slow EMWs can exist in a “left-handed” medium based on the magnetically active plasma and the spectrum of these waves depends on the SRR own frequency and magnetic induction. The unordinary slow EMW possesses by the negative dispersion and the dispersion characteristic of the ordinary EMW has the sections with both the negative and positive dispersions.

The evolution process of nonlinear cold-electron-plasma oscillations against fixed periodic ion density cavities

2019 ◽  
Vol 26 (2) ◽  
pp. 022112 ◽  
Author(s):  
Hui Xu ◽  
Fu-fang Su ◽  
Xiang-mu Kong ◽  
Yu Sun ◽  
Rui-ning Jin ◽  
...  
Keyword(s):  
Electron Plasma ◽  
Evolution Process ◽  
Cold Electron ◽  
Plasma Oscillations ◽  
Ion Density

Further analysis of nonlinear, periodic, highly superluminous waves in a magnetized plasma

1982 ◽  
Vol 27 (1) ◽  
pp. 177-187 ◽  
Author(s):  
P. C. Clemmow
Keyword(s):  
Magnetic Field ◽  
Power Series ◽  
Periodic Solutions ◽  
Wave Speed ◽  
Nonlinear Differential Equations ◽  
Plane Waves ◽  
Electron Plasma ◽  
Finite Amplitude ◽  
Magnetized Plasma ◽  
Cold Electron

A perturbation method is applied to the pair of second-order, coupled, nonlinear differential equations that describe the propagation, through a cold electron plasma, of plane waves of fixed profile, with direction of propagation and electric vector perpendicular to the ambient magnetic field. The equations are expressed in terms of polar variables π, φ, and solutions are sought as power series in the small parameter n, where c/n is the wave speed. When n = 0 periodic solutions are represented in the (π,φ) plane by circles π = constant, and when n is small it is found that there are corresponding periodic solutions represented to order n2 by ellipses. It is noted that further investigation is required to relate these finite-amplitude solutions to the conventional solutions of linear theory, and to determine their behaviour in the vicinity of certain resonances that arise in the perturbation treatment.

scholarly journals Exact analytic solutions for nonlinear waves in cold plasmas

2008 ◽  
Vol 74 (4) ◽  
pp. 569-573 ◽  
Author(s):  
G. ROWLANDS ◽  
G. BRODIN ◽  
L. STENFLO
Keyword(s):  
Wave Breaking ◽  
Electron Plasma ◽  
Analytic Solutions ◽  
Field Amplitude ◽  
Cold Electron ◽  
Electric Field Amplitude ◽  
New Class ◽  
Exact Analytic Solutions ◽  
Lagrangian Variables ◽  
Cold Plasmas

AbstractLarge amplitude plasma oscillations are studied in a cold electron plasma. Using Lagrangian variables, a new class of exact analytical solutions is found. It turns out that the electric field amplitude is limited either by wave breaking or by the condition that the electron density always has to stay positive. The range of possible amplitudes is determined analytically.

Non-linear interaction between three ordinary electromagnetic waves

1971 ◽  
Vol 5 (3) ◽  
pp. 413-425 ◽  
Author(s):  
L. Stenflo
Keyword(s):  
Magnetic Field ◽  
General Formula ◽  
Constant Magnetic Field ◽  
Electromagnetic Waves ◽  
Electron Plasma ◽  
Static Field ◽  
Coupling Coefficients ◽  
Linear Interaction ◽  
Non Linear ◽  
Spatially Homogeneous

This paper considers the non-linear interaction between three resonant, modified ordinary electromagnetic waves, which propagate perpendicular to a constant magnetic field in a spatially homogeneous electron plasma. The coupling coefficients are calculated and discussed. Finally, a general formula, describing the interaction between three waves propagating at arbitrary angles to the static field, is derived.

Padé approximants and nonlinear waves

1979 ◽  
Vol 21 (3) ◽  
pp. 549-571 ◽  
Author(s):  
F. J. Romerias ◽  
J. P. Dougherty
Keyword(s):  
Differential Equations ◽  
Asymptotic Expansions ◽  
Nonlinear Waves ◽  
Wave Amplitude ◽  
Plane Waves ◽  
Electron Plasma ◽  
Cold Electron ◽  
Small Wave ◽  
The Waves ◽  
Approximant Method

The perturbation solution of the ordinary differential equations that describe exact nonlinear travelling plane waves leads to asymptotic expansions in powers of the (small) wave amplitude for both the proffle and the frequency of the waves. This paper shows how the Padé approximant method can be used to extend the validity of those expansions to larger amplitudes. The method is applied to the Duffing equation and to two types of nonlinear waves in a cold electron plasma: longitudinal oscillations and coupled transverse–longitudinal relativistic waves.

Estimation of plasma density from wave data of cold electron plasma

1995 ◽  
Vol 15 (12) ◽  
pp. 143-146 ◽  
Author(s):  
A. Kiraga ◽  
Z. Kłos ◽  
V.N. Oraevsky ◽  
S.A. Pulinets ◽  
V.C. Dokukin ◽  
...  
Keyword(s):  
Plasma Density ◽  
Electron Plasma ◽  
Cold Electron ◽  
Wave Data
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