Retrieval method for the bianisotropic polarizability tensor of Willis acoustic scatterers

Abstract

Acoustic materials displaying coupling between pressure and momentum are known as Willis materials. The simplest Willis materials are comprised of sub-wavelength scatterers that couple monopoles to dipoles and {\it vice versa}, with the interaction defined by a polarizability tensor. We propose a method for retrieving the polarizability tensor for sub-wavelength Willis acoustic scatterers using a finite set of scattering amplitudes. We relate the polarizability tensor to standard T-matrix and S-matrix scattering formalisms. This leads to an explicit method for retrieving the components of the polarizability tensor in terms of a small set of scattered pressure data in the near- or far-field. Numerical examples demonstrate the retrieval method for one and two dimensional configurations.

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Cited by in corpus (7)

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• Coupled Decorated Membrane Resonators with Large Willis Coupling
• Non-symmetric flexural wave scattering and one-way extreme absorption
• Acoustic radiation force and radiation torque beyond particles: Effects of non-spherical shape and Willis coupling
• Discrete One-dimensional Models for the Electromomentum Coupling
• Fundamental principles for generalized Willis metamaterials
• Experimental Realization of Acoustic Bianisotropic Gratings