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Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2020, Volume 490, Pages 63–66
DOI: https://doi.org/10.31857/S2686954320010208 (Mi danma35) 		 
This article is cited in 2 scientific papers (total in 2 papers)

MATHEMATICS

On the existence of an infinite number of leaky complex waves in a dielectric layer

Yu. G. Smirnovab, E. Yu. Smol'kinab

a Penza State University, Penza, Russian Federation
b University of Science and Technology "Sirius", Sochi, Russian Federation
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DOI: https://doi.org/10.31857/S2686954320010208
Abstract: The problem of propagation of TE-polarized electromagnetic waves in a dielectric layer is considered. The waves existing in the structure under study are classified. It is rigorously proved that, in the dielectric layer, there are no surface complex TE waves, but there are infinitely many complex leaky TE waves.
Keywords: electromagnetic waves, dielectric layer, infinite spectrum.
Funding agency Grant number
Russian Foundation for Basic Research 19-31-51004
The reported study was funded by the Russian Foundation for Basic Research, project no. 19-31-51004.
Presented: E. E. Tyrtyshnikov
Received: 24.10.2019
Revised: 24.10.2019
Accepted: 07.11.2019
English version:
Doklady Mathematics, 2020, Volume 101, Issue 1, Pages 53–56
DOI: https://doi.org/10.1134/S1064562420010202
Bibliographic databases:
Document Type: Article
UDC: 517.958:621.372.8
Language: Russian
Citation: Yu. G. Smirnov, E. Yu. Smol'kin, “On the existence of an infinite number of leaky complex waves in a dielectric layer”, Dokl. RAN. Math. Inf. Proc. Upr., 490 (2020), 63–66; Dokl. Math., 101:1 (2020), 53–56
Citation in format AMSBIB
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\paper On the existence of an infinite number of leaky complex waves in a dielectric layer
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\transl
\jour Dokl. Math.
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