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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2005, Volume 45, Number 12, Pages 2203–2218 (Mi zvmmf553)  
This article is cited in 6 scientific papers (total in 6 papers)

A numerical method for finding dispersion curves and guided waves of optical waveguides

R. Z. Dautov, E. M. Karchevskii, G. P. Kornilov

Kazan State University
Full-text PDF (2002 kB) Citations (6)
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Abstract: The original problem in an unbounded domain is reduced to a linear parametric eigenvalue problem in a circle, which is convenient for numerical solution. The examination of the solvability of this problem is based on the spectral theory of compact self-adjoint operators. The existence of guided waves is proved, and properties of the dispersion curves are investigated. An algorithm for the numerical solution of the problem based on the discretization of the equations using the finite element method is proposed. Numerical results are discussed.
Received: 30.12.2004
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: R. Z. Dautov, E. M. Karchevskii, G. P. Kornilov, “A numerical method for finding dispersion curves and guided waves of optical waveguides”, Zh. Vychisl. Mat. Mat. Fiz., 45:12 (2005), 2203–2218; Comput. Math. Math. Phys., 45:12 (2005), 2119–2134
Citation in format AMSBIB
\Bibitem{DauKarKor05}
\by R.~Z.~Dautov, E.~M.~Karchevskii, G.~P.~Kornilov
\paper A numerical method for finding dispersion curves and guided waves of optical waveguides
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2005
\vol 45
\issue 12
\pages 2203--2218
\mathnet{http://mi.mathnet.ru/zvmmf553}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2203668}
\zmath{https://zbmath.org/?q=an:1101.78006}
\transl
\jour Comput. Math. Math. Phys.
\yr 2005
\vol 45
\issue 12
\pages 2119--2134
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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    Full-text PDF :214
    References:62
    First page:1
     
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