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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2008, Volume 48, Number 12, Pages 2186–2194 (Mi zvmmf73)  
This article is cited in 48 scientific papers (total in 48 papers)

Propagation of TM waves in a Kerr nonlinear layer

D. V. Valovik, Yu. G. Smirnov

Penza State University, ul. Krasnaya 40, Penza, 440026, Russia
Full-text PDF (802 kB) Citations (48)
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Abstract: TM electromagnetic waves propagating through a nonlinear homogeneous isotropic unmagnetized dielectric layer located between two homogeneous isotropic half-spaces are studied. The nonlinearity in the layer obeys the Kerr law. The problem is reduced to a system of nonlinear ordinary differential equations. A dispersion relation for the propagation constants is derived. The results are compared with those in the case of a linear layer.
Key words: boundary value problems for Maxwell's equations, TM waves, nonlinear media, dispersion relation.
Received: 14.01.2008
English version:
Computational Mathematics and Mathematical Physics, 2008, Volume 48, Issue 12, Pages 2217–2225
DOI: https://doi.org/10.1134/S0965542508120117
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: D. V. Valovik, Yu. G. Smirnov, “Propagation of TM waves in a Kerr nonlinear layer”, Zh. Vychisl. Mat. Mat. Fiz., 48:12 (2008), 2186–2194; Comput. Math. Math. Phys., 48:12 (2008), 2217–2225
Citation in format AMSBIB
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    • This publication is cited in the following 48 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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    Full-text PDF :136
    References:45
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