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

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.