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Zapiski Nauchnykh Seminarov POMI, 2017, Volume 461, Pages 95–106 (Mi znsl6482)  
This article is cited in 3 scientific papers (total in 3 papers)

Modelling equation of electromagnetic scattering on 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 (198 kB) Citations (3)
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Abstract: In this research we study the scattering of electromagnetic waves by the dielectric impediment in 2D geometry. The impediment is determined through the inhomogeneous component of the refractive index in the Helmholtz equation. It is supposed that the characteristic gauge of one of the two impediment sizes is much less in comparison with the length of the waves generated by the monochromatic point source. Nevertheless, we don't neglect the structure of the impediment in the process of calculation of the scattered field. The scattered field is defined by the derived model integral equation whose unique solvability is proved.
Key words and phrases: scattering, Helmholtz equation, integral equation, approximate solution, dielectric structures.
Received: 29.10.2017
English version:
Journal of Mathematical Sciences (New York), 2019, Volume 238, Issue 5, Pages 621–629
DOI: https://doi.org/10.1007/s10958-019-04261-6
Document Type: Article
UDC: 517
Language: Russian
Citation: S. A. Vavilov, M. S. Lytaev, “Modelling equation of electromagnetic scattering on thin dielectric structures”, Mathematical problems in the theory of wave propagation. Part 47, Zap. Nauchn. Sem. POMI, 461, POMI, St. Petersburg, 2017, 95–106; J. Math. Sci. (N. Y.), 238:5 (2019), 621–629
Citation in format AMSBIB
\Bibitem{VavLyt17}
\by S.~A.~Vavilov, M.~S.~Lytaev
\paper Modelling equation of electromagnetic scattering on thin dielectric structures
\inbook Mathematical problems in the theory of wave propagation. Part~47
\serial Zap. Nauchn. Sem. POMI
\yr 2017
\vol 461
\pages 95--106
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6482}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2019
\vol 238
\issue 5
\pages 621--629
\crossref{https://doi.org/10.1007/s10958-019-04261-6}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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