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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2015, Volume 55, Number 3, Pages 460–468
DOI: https://doi.org/10.7868/S0044466915030187 (Mi zvmmf10173) 		 
This article is cited in 19 scientific papers (total in 19 papers)

Eigenvalue transmission problems describing the propagation of TE and TM waves in two-layered inhomogeneous anisotropic cylindrical and planar waveguides

Yu. G. Smirnov

Penza State University, ul. Krasnaya 40, Penza, 440026, Russia
Full-text PDF (679 kB) Citations (19)
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DOI: https://doi.org/10.7868/S0044466915030187
Abstract: Problems on the propagation of surface TE and TM waves in an inhomogeneous anisotropic two-layered planar or cylindrical magneto-dielectric waveguide are considered. The problem is reduced to the analysis of a Sturm–Liouville problem of a special kind with boundary conditions of the third kind, nonlinearly depending on the spectral parameter. The conditions under which TE and TM waves can propagate are obtained, and the regions of localization of the corresponding propagation constants are determined.
Key words: electromagnetic wave propagation, Sturm–Liouville problem, spectral problem, waveguide.
Received: 12.02.2014
English version:
Computational Mathematics and Mathematical Physics, 2015, Volume 55, Issue 3, Pages 461–469
DOI: https://doi.org/10.1134/S0965542515030173
Bibliographic databases:
Document Type: Article
UDC: 519.634
MSC: Primary 78A50; Secondary 34B24, 35P05, 35Q60
Language: Russian
Citation: Yu. G. Smirnov, “Eigenvalue transmission problems describing the propagation of TE and TM waves in two-layered inhomogeneous anisotropic cylindrical and planar waveguides”, Zh. Vychisl. Mat. Mat. Fiz., 55:3 (2015), 460–468; Comput. Math. Math. Phys., 55:3 (2015), 461–469
Citation in format AMSBIB
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    • This publication is cited in the following 19 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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