Izvestiya of Saratov University.

Physics

ISSN 1817-3020 (Print)
ISSN 2542-193X (Online)

For citation:

Davidovich M. V. Nonlinear tunneling of electromagnetic wave through a plasma layer. Izvestiya of Saratov University. Physics , 2021, vol. 21, iss. 2, pp. 116-132. DOI: 10.18500/1817-3020-2021-21-2-116-132, EDN: BQCMND

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Published online: 
31.05.2021
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Language: 
Russian
Heading: 
Radiophysics, electronics, acoustics
Article type: 
Article
UDC: 
537.8:537.9:621.371
DOI: 
10.18500/1817-3020-2021-21-2-116-132
EDN: 
BQCMND

Nonlinear tunneling of electromagnetic wave through a plasma layer

Autors: 
Davidovich Mikhail Vladimirovich, Saratov State University
Abstract: 

Background and Objectives: The propagation of a strong plane electromagnetic wave from a vacuum through a limited plasma layer is considered, taking into account non-linearity under tunneling and transparency conditions. The temperature dependence is not taken into account. The non-linearity is taken into account phenomenologically as the dependence of the plasma frequency and collision frequency on the field averaged over the period squared. Conclusion: Coupled stationary nonlinear integral equations for the field harmonics, as well as a nonlinear integral equation for a non-stationary process, are obtained. The speed and time of tunneling in linear and nonlinear cases, the field distribution and the third harmonic generation coefficient are determined. It is shown that tunneling takes longer than the passage of a transparent layer, and the process of nonlinear tunneling is a longer process compared to linear, while in all cases the time of the wave passage is longer when passing
the structure at the speed of light.

Key words: 
plasma
tunneling time
nonlinear electromagnetic wave
Hartman paradox
energy velocity
Acknowledgments: 
This work was supported by the Russian Science Foundation (project No. 16-19-10033) and by the Ministry of Science and Higher Education of the Russian Federation in the framework of the State task (project No. FSRR-2020-0004).
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Received: 
29.07.2020
Accepted: 
14.01.2021
Published: 
31.05.2021
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