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

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

Davidovich Mihail Vladimirovich, Saratov State University
Stephuk Yulia Valentinovna, Saratov State University

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.

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