scholarly journals Флуктуационно-диссипативная теорема и частотные моменты функций реакции плотной плазмы на электромагнитное поле

2022 ◽  
Vol 92 (2) ◽  
pp. 225
Author(s):  
Г.А. Павлов
Keyword(s):  
Magnetic Field ◽  
Constant Magnetic Field ◽  
Electromagnetic Waves ◽  
Dense Plasma ◽  
Coulomb Systems ◽  
Quadratic Functions ◽  
Nonlinear Phenomena ◽  
Reaction Functions ◽  
Frequency Moments ◽  
Quadratic Interaction

The fluctuation-dissipative theorem and frequency moments for quadratic functions of the reaction of a dense plasma in a constant magnetic field to an electromagnetic field are considered. The frequency moments of the corresponding correlation functions are studied. A model approach is proposed to calculate quadratic reaction functions that determine nonlinear phenomena caused by the quadratic interaction of electromagnetic waves in a dense charged medium (Coulomb systems, plasma) in a constant magnetic field. Keywords: dense plasma, nonlinear fluctuation-dissipative theorem, quadratic reaction functions, nonlinear phenomena.

scholarly journals Нелинейное взаимодействие электромагнитных волн в плотной плазме

2020 ◽  
Vol 46 (8) ◽  
pp. 51
Author(s):  
Г.А. Павлов
Keyword(s):  
Electromagnetic Waves ◽  
Second Harmonic ◽  
Coulomb Systems ◽  
Nonlinear Phenomena ◽  
Parametric Generation ◽  
Reaction Functions ◽  
Frequency Moments ◽  
Quadratic Interaction ◽  
Experimental Implementation ◽  
Using Data

Nonlinear phenomena caused by the quadratic interaction of electromagnetic waves in a dense charged medium (Coulomb systems, plasma) are considered: parametric generation and generation of the second harmonic of electromagnetic radiation. To determine the quadratic reaction functions describing the interaction of electromagnetic waves in the medium, an approach based on the use of explicit approximations for reaction functions with fitting parameters is applied. Parameters are found from the exact frequency moments of the reaction functions. Using data on reaction functions, the conditions for the experimental implementation of these phenomena in a laboratory dense plasma in a constant magnetic field were evaluated.

Nonlinear interaction between three ordinary electromagnetic modes

1977 ◽  
Vol 17 (1) ◽  
pp. 51-55
Author(s):  
P. Muñoz ◽  
S. Dagach
Keyword(s):  
Magnetic Field ◽  
Normal Mode ◽  
Drift Velocity ◽  
Coupling Coefficient ◽  
Constant Magnetic Field ◽  
Nonlinear Interaction ◽  
Electromagnetic Waves ◽  
Resonant Interaction ◽  
Lagrangian Method

In this paper we consider the resonant interaction between three modified ordinary electromagnetic waves, which propagate perpendicular to a constant magnetic field. We show that for the modified mode to be a normal mode we must have the unperturbed current equal to zero. Using the averaged Lagrangian method, we calculate the coupling coefficient for the resonant interaction between three of these modes. It is proportional only to the cube of the drift velocity, as expected from the vanishing of the unperturbed current.

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.

scholarly journals Nonlinear Instability of Circularly Polarised Waves in a Magnetised Relativistic Plasma

1990 ◽  
Vol 43 (3) ◽  
pp. 311 ◽  
Author(s):  
SN Paul
Keyword(s):  
Electromagnetic Waves ◽  
Dense Plasma ◽  
Relativistic Plasma ◽  
Nonlinear Instability ◽  
Nonlinear Phenomena ◽  
Nonlinear Dispersion ◽  
Stability Criteria ◽  
Nonlinear Dispersion Relation ◽  
The Stability ◽  
Numerical Estimations

An intensity dependent nonlinear dispersion relation of a circularly polarised wave in a magnetised relativistic plasma is derived using a special Lorentz transformation and then the stability criteria of the wave are investigated. From numerical estimations it is observed that electromagnetic waves, having powers much below that for the occurrence of nonlinear phenomena due to self-action effects, are unstable in a magnetised relativistic dense plasma. The effects of a strong magnetic field on the group velocity and cut-off frequency in a dense plasma are also discussed.

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