ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)

For citation:

Davidovich M. V., Stephuk Y. V. Nonlinear electromagnetic wave passing through the layer with quadratic and fractionally-­polynomial permittivity dependences on amplitude. Izvestiya VUZ. Applied Nonlinear Dynamics, 2010, vol. 18, iss. 3, pp. 160-177. DOI: 10.18500/0869-6632-2010-18-3-160-177

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Language: 
Russian
Heading: 
Nonlinear Waves. Solitons
Article type: 
Article
UDC: 
537.311.33
DOI: 
10.18500/0869-6632-2010-18-3-160-177

Nonlinear electromagnetic wave passing through the layer with quadratic and fractionally-­polynomial permittivity dependences on amplitude

Autors: 
Davidovich Mihail Vladimirovich, Saratov State University
Stephuk Yulia Valentinovna, Saratov State University
Abstract: 

The integral equations for powerful flat electromagnetic wave diffraction on nonlinear dielectric layer with cubic nonlinearity and fractionally­polynomial permittivity dependence on wave amplitude have been considered and solved. There are results which have been obtained by several numerical methods: series approaching, minimal discrepancy, power series expansion, and Runge–Kutt methods. Also the some analytical results are presented. The possibilities of power limiting, super­exponential damping and some other effects in semi­conducting plasma have bean shown by numerical simulation.

Key words: 
Nonlinear wave equation
diffraction
electromagnetic tunneling
semiconductor plasma
impact ionization
power limiting
stiff differential equations
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Received: 
03.12.2008
Accepted: 
02.03.2010
Published: 
30.06.2010
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