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Electromagnetic-Wave Propagation in a Plasma with Nonlinear Electrical Conductivity

Authors: Melvin Epstein;

Electromagnetic-Wave Propagation in a Plasma with Nonlinear Electrical Conductivity

Abstract

A small-perturbation analysis has been carried out to determine the effect of a nonlinear electrical conductivity on the propagation of microwaves normally incident on a homogeneous, slightly ionized gas. The reflecting properties of the interface separating the ionized gas from free space have also been determined. The measure of the nonlinearity is given by the quantity γ, which is the ratio of the energy acquired by the free electrons from the field to the kinetic energy of the electrons in the absence of an applied field. The solution was obtained by performing a series expansion of the field strength in powers of γ. Terms up to order γ2 were retained. It was found that the nonlinearity can cause significant increases in both the wave number and the attenuation factor of the transmitted signal. The transmission coefficient associated with the interface may also be significantly reduced. The change in the phase shift across the interface due to the nonlinearity was found to be positive or negative, depending upon whether the signal frequency is greater or less than the plasma frequency, respectively.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
29
Average
Top 1%
Top 10%
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