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  • Open Access

Asymmetric lateral sound beaming in a Willis medium

Xiaoshi Su* and Debasish Banerjee

  • Toyota Research Institute of North America, 1555 Woodridge Avenue, Ann Arbor, Michigan 48105, USA

  • *xiaoshi.su@toyota.com
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Phys. Rev. Research 3, 033080 – Published 22 July, 2021

DOI: https://doi.org/10.1103/PhysRevResearch.3.033080

Abstract

Willis coupling, also known as pressure-velocity cross coupling, in acoustic materials has received much attention in the past years. This effect has been found useful in acoustic metasurface designs for wave redirection. We find that Willis coupling in phononic crystals also provides rich physics to manipulate waves. Here, we report the extreme asymmetric lateral sound beaming effect in a two-dimensional phononic crystal composed of Willis scatterers. By matching the second-order Bragg scattering with two leaky guided modes (a quadrupole resonance and a cross-coupling-induced dipole resonance), a normally incident wave is redirected towards the positive and negative directions orthogonal to the incident wave with different amounts of energy. Simulation and experimental results demonstrate the extraordinary asymmetric lateral beaming effect in the Willis medium. The results presented here may find applications in the design of tunable beam splitters and waveguides.

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Phys. Rev. Research 3, 033080– Published 22 July, 2021
  • Received 18 April 2021
  • Revised 6 July 2021
  • Accepted 8 July 2021
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

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