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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2011, Volume 51, Number 1, Pages 104–119 (Mi zvmmf8049)  
This article is cited in 11 scientific papers (total in 11 papers)

Calculation of characteristics of trapped modes in T-shaped waveguides

S. A. Nazarova, A. V. Shaninb

a Institute of Problems in Machine Science, Russian Academy of Sciences, Vasil'evskii Ostrov, Bol'shoi pr. 61, St.  Petersburg, 199178 Russia
b Faculty of Physics, Moscow State University, Moscow, 119991 Russia
Full-text PDF (437 kB) Citations (11)
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Abstract: The spectrum of the Dirichlet problem for the Laplace operator in a plane T-shaped waveguide is investigated. The critical width of the half-strip branch is determined such that, if the width is greater, the waveguide has no discrete spectrum. The existence of a critical width is proved the oretically.
Key words: trapped waves, trapped modes, T-shaped waveguide, Helmholtz equation, discrete spectrum.
Received: 28.06.2010
English version:
Computational Mathematics and Mathematical Physics, 2011, Volume 51, Issue 1, Pages 96–110
DOI: https://doi.org/10.1134/S0965542511010118
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: S. A. Nazarov, A. V. Shanin, “Calculation of characteristics of trapped modes in T-shaped waveguides”, Zh. Vychisl. Mat. Mat. Fiz., 51:1 (2011), 104–119; Comput. Math. Math. Phys., 51:1 (2011), 96–110
Citation in format AMSBIB
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    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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