This article is cited in 11 papers

Calculation of characteristics of trapped modes in T-shaped waveguides

S. A. Nazarov^a, A. V. Shanin<sup>b

a</sup> 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

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.

UDC: 519.634

Received: 28.06.2010

 English version: Computational Mathematics and Mathematical Physics, 2011, 51:1, 96–110

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