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Asymptotic behavior of the resonance for two-dimensional waveguides coupled via a hole

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Abstract

The principal terms of the asymptotic expansion of a resonance (quasi-eigenfrequency) are derived for waveguides coupled via a small hole. The Dirichlet condition is assumed to be fulfilled at the boundary. The results are compared to estimates obtained earlier. The construction is performed by matching asymptotic expansions for solutions of boundary-value problems.

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Authors and Affiliations

  1. State Institute of Fine Mechanics and Optics (Technical University), St. Petersburg, Russia

    I. Yu. Popov & S. V. Frolov

Authors
  1. I. Yu. Popov
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  2. S. V. Frolov
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Translated from Pis’ma v Zhurnal Tekhnichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l}\) Fiziki, Vol. 26, No. 1, 2000, pp. 17–20.

Original Russian Text Copyright © 2000 by Popov, Frolov.

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Popov, I.Y., Frolov, S.V. Asymptotic behavior of the resonance for two-dimensional waveguides coupled via a hole. Tech. Phys. Lett. 26, 8–9 (2000). https://doi.org/10.1134/1.1262721

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  • DOI: https://doi.org/10.1134/1.1262721

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