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Researchers derived bounds for Willis coupling in acoustic materials, enabling maximally bianisotropic inclusions. These inclusions can create acoustic metasurfaces for efficient sound manipulation.

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Area of Science:

  • Acoustic Metamaterials
  • Wave Phenomena
  • Elasticity

Background:

  • Willis coupling describes cross-coupling between strain and velocity in acoustic materials, analogous to bianisotropic effects in electromagnetics.
  • Previous studies largely treated these phenomena as perturbative.
  • There is growing interest in exploiting these coupling effects for advanced acoustic applications.

Purpose of the Study:

  • To derive general bounds on the Willis response of acoustic scatterers.
  • To demonstrate the practical realization of acoustic inclusions that reach these bounds.
  • To utilize these inclusions for designing high-efficiency acoustic metasurfaces.

Main Methods:

  • Derivation of theoretical bounds for Willis coupling parameters.
  • Design and simulation of acoustic scatterers and inclusions.
  • Fabrication and characterization of acoustic metasurfaces.

Main Results:

  • General bounds for the Willis response of acoustic scatterers were established.
  • A systematic method for designing maximally bianisotropic acoustic inclusions was presented.
  • Acoustic metasurfaces capable of bending and steering sound with unitary efficiency were realized.

Conclusions:

  • The derived bounds provide a framework for understanding and designing acoustic materials with strong Willis coupling.
  • Maximally bianisotropic inclusions offer a pathway to achieve unprecedented control over acoustic wave propagation.
  • The developed acoustic metasurfaces demonstrate the potential for highly efficient sound manipulation applications.