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Abnormal Transmission of Elastic Waves through a Thin Ligament Connecting Two Planar Isotropic Waveguides

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Abstract

The asymptotics of the transmission and reflection coefficients for a longitudinal wave incoming from infinity and scattering in a resonator, a thin ligament connecting two trunks of the waveguide (homogeneous isotropic half-strips), is constructed. An unexpected effect was revealed by selecting the size of the ligament (the wave almost completely transmits from one trunk to another at any prescribed frequency from the first interval of the continuous spectrum). In the general situation, the wave is almost completely reflected. Open questions are discussed.

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Funding

The study was supported by the Russian Science Foundation (project no. 22–11–00046).

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Authors and Affiliations

  1. Institute for Problems in Mechanical Engineering, Russian Academy of Sciences, 199178, St. Petersburg, 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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Translated by I. Obrezanova

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Nazarov, S.A. Abnormal Transmission of Elastic Waves through a Thin Ligament Connecting Two Planar Isotropic Waveguides. Mech. Solids 57, 1908–1922 (2022). https://doi.org/10.3103/S0025654422080222

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  • DOI: https://doi.org/10.3103/S0025654422080222

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