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. 2019 Jun;99(6-1):063006.
doi: 10.1103/PhysRevE.99.063006.

Sound scattering by a lattice of resonant inclusions in a soft medium

Alex Skvortsov  1 , Ian MacGillivray  1 , Gyani Shankar Sharma  2 , Nicole Kessissoglou  2
Affiliations

Sound scattering by a lattice of resonant inclusions in a soft medium

Alex Skvortsov et al. Phys Rev E. 2019 Jun.

Abstract

We present a generalized analytical model to investigate acoustic scattering by a lattice of voids of arbitrary shape in a viscoelastic matrix. To this end, we represent the lattice of voids using effective boundary conditions that incorporate multiple scattering effects. Applying analogies between acoustics and electrostatics, the model is derived for voids of nonspherical shape and different lattice arrangements. Our analytical results are compared with those from numerical simulations as well as experimental results from the literature.

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