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Anomalous Wave Transmission through a Thin Channel Connecting Two Acoustic Waveguides

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Abstract

In this paper, we find a criterion for to remove almost complete transmission of the piston mode from one semi-infinite waveguide to another one through a thin connecting channel in 3D. An asymptotic procedure for fine-tuning of the channel parameter, violation of which leads to almost complete or significant wave reflection, is described. In the case when the waveguides are straight cylinders, the criterion takes a particularly simple form.

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Funding

The work of S.A. Nazarov was supported by the Russian Science Foundation, project no. 17-11-01003.

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Authors and Affiliations

  1. St. Petersburg State University, 199034, St. Petersburg, Russia

    S. A. Nazarov

  2. École Polytechnique, Université Paris-Saclay, 91128, Paris, France

    L. Chesnel

Authors
  1. S. A. Nazarov
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  2. L. Chesnel
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Corresponding authors

Correspondence to S. A. Nazarov or L. Chesnel.

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Translated by A. Ivanov

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Nazarov, S.A., Chesnel, L. Anomalous Wave Transmission through a Thin Channel Connecting Two Acoustic Waveguides. Dokl. Phys. 66, 45–50 (2021). https://doi.org/10.1134/S1028335821010043

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  • DOI: https://doi.org/10.1134/S1028335821010043

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