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Zapiski Nauchnykh Seminarov POMI, 2018, Volume 471, Pages 86–98 (Mi znsl6626)  
This article is cited in 1 scientific paper (total in 1 paper)

Scattering of electromagnetic waves on the array of thin dielectric structures

S. A. Vavilova, M. S. Lytaevb

a St. Petersburg State University, St. Petersburg, Russia
b St. Petersburg State University of Telecommunications, St. Petersburg, Russia
Full-text PDF (209 kB) Citations (1)
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Abstract: This research concerns with the scattering of electromagnetic waves by thin dielectric impediments in 2D geometry. Dielectric and spatial properties of the impediments are modeled by varying the inhomogeneous component of the refractive index. It is supposed, that each impediment has an arbitrary finite length, while width is much less in comparison with the wavelength. The proposed approach allows to solve the scattering problemsimultaneously on several obstacles. A system of integral equations is derived, whose unique solvability is discussed.
Key words and phrases: scattering on the array of impediments, Helmholtz equation, system of integral equation, dielectric structures.
Received: 26.10.2018
English version:
Journal of Mathematical Sciences (New York), 2019, Volume 243, Issue 5, Pages 689–697
DOI: https://doi.org/10.1007/s10958-019-04570-w
Bibliographic databases:
Document Type: Article
UDC: 517
Language: Russian
Citation: S. A. Vavilov, M. S. Lytaev, “Scattering of electromagnetic waves on the array of thin dielectric structures”, Mathematical problems in the theory of wave propagation. Part 48, Zap. Nauchn. Sem. POMI, 471, POMI, St. Petersburg, 2018, 86–98; J. Math. Sci. (N. Y.), 243:5 (2019), 689–697
Citation in format AMSBIB
\Bibitem{VavLyt18}
\by S.~A.~Vavilov, M.~S.~Lytaev
\paper Scattering of electromagnetic waves on the array of thin dielectric structures
\inbook Mathematical problems in the theory of wave propagation. Part~48
\serial Zap. Nauchn. Sem. POMI
\yr 2018
\vol 471
\pages 86--98
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6626}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2019
\vol 243
\issue 5
\pages 689--697
\crossref{https://doi.org/10.1007/s10958-019-04570-w}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85075121458}
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  • https://www.mathnet.ru/eng/znsl/v471/p86
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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