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Gaps and eigenfrequencies in the spectrum of a periodic acoustic waveguide

  • Clasical Problems of Linear Acoustics and Wave Theory
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Abstract

Sufficient conditions are found for the existence of eigenfrequencies within the spectral gaps which occur as a result of local regular perturbation of the hard walls of a periodic acoustic waveguide. Asymptotic formulas are derived and error estimates shown.

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Authors and Affiliations

  1. Institute of Mechanical Engineering Problems, Russian Academy of Sciences, Vasilievsky Ostrov, Bol’shoi pr. 61, St. Petersburg, 199178, Russia

    S. A. Nazarov

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  1. S. A. Nazarov
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Correspondence to S. A. Nazarov.

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Original Russian Text © S.A. Nazarov, 2013, published in Akusticheskii Zhurnal, 2013, Vol. 59, No. 3, pp. 312–321.

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Nazarov, S.A. Gaps and eigenfrequencies in the spectrum of a periodic acoustic waveguide. Acoust. Phys. 59, 272–280 (2013). https://doi.org/10.1134/S1063771013010132

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  • DOI: https://doi.org/10.1134/S1063771013010132

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