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Anomalous transmission through periodic resistive sheets

Abstract : This work investigates anomalous transmission effects in periodic dissipative media, which is identified as an acoustic analogue of the Borrmann effect. For this, the scattering of acoustic waves on a set of equidistant resistive sheets is considered. It is shown both theoretically and experimentally that at the Bragg frequency of the system, the transmission coefficient is significantly higher than at other frequencies. The optimal conditions are identified: one needs a large number of sheets, which induce a very narrow peak, and the resistive sheets must be very thin compared to the wavelength, which gives the highest maximal transmission. Using the transfer matrix formalism, it is shown that this effect occurs when the two eigenvalues of the transfer matrix coalesce (i.e., at an exceptional point). Exploiting this algebraic condition, it is possible to obtain similar anomalous transmission peaks in more general periodic media. In particular, the system can be tuned to show a peak at an arbitrary long wavelength.
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https://hal.archives-ouvertes.fr/hal-02936791
Contributeur : Vincent Pagneux <>
Soumis le : lundi 4 janvier 2021 - 01:46:11
Dernière modification le : vendredi 15 janvier 2021 - 10:17:03
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Antonin Coutant, Yves Aurégan, Vincent Pagneux. Anomalous transmission through periodic resistive sheets. Journal of the Acoustical Society of America, Acoustical Society of America, 2020, 147 (5), pp.3124-3135. ⟨10.1121/10.0001166⟩. ⟨hal-02936791⟩

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