M. M. Kabardov, O. V. Sarafanov, “Numerical search of surface waves in a periodic grating”, Mathematical problems in the theory of wave propagation. Part 54, Zap. Nauchn. Sem. POMI, 533, POMI, St. Petersburg, 2024, 114

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Zapiski Nauchnykh Seminarov POMI, 2024, Volume 533, Pages 114–123 (Mi znsl7469)

Numerical search of surface waves in a periodic grating

M. M. Kabardov^a, O. V. Sarafanov^b

^a St. Petersburg State University of Telecommunications
^b Saint Petersburg State University

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Abstract: A two-dimensional reflection grating described by the Neumann problem for the Helmhotz equation is considered. The grating is obtained by adding a periodic sequence of rectangles to the upper half-plane. A method for approximate computation of the scattering matrix in the grating is implemented and its convergence is studied. A modification of the method is used for the numerical search of surface waves.

Key words and phrases: diffraction grating, Helmholtz equation, surface wave, augmented scattering matrix, method for approximate computation.

Funding agency	Grant number
Russian Science Foundation	22-21-00136
Sфште-Petersburg University Research Park	110-29723

Received: 30.09.2024

Document Type: Article

UDC: 51-72, 534.212

Language: Russian

Citation: M. M. Kabardov, O. V. Sarafanov, “Numerical search of surface waves in a periodic grating”, Mathematical problems in the theory of wave propagation. Part 54, Zap. Nauchn. Sem. POMI, 533, POMI, St. Petersburg, 2024, 114–123

Citation in format AMSBIB

\Bibitem{KabSar24}

\by M.~M.~Kabardov, O.~V.~Sarafanov

\paper Numerical search of surface waves in a periodic grating

\inbook Mathematical problems in the theory of wave propagation. Part~54

\serial Zap. Nauchn. Sem. POMI

\yr 2024

\vol 533

\pages 114--123

\publ POMI

\publaddr St.~Petersburg

\mathnet{http://mi.mathnet.ru/znsl7469}

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https://www.mathnet.ru/eng/znsl/v533/p114

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Full-text PDF :	39
References:	21

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