Acoustic scattering from a fluid cylinder with Willis constitutive properties
Abstract
A material that exhibits Willis coupling has constitutive equations that couple the pressure-strain and momentum-velocity relationships. This coupling arises from subwavelength asymmetry and non-locality in heterogeneous media. This paper considers the problem of the scattering of a plane wave by a cylinder exhibiting Willis coupling using both analytical and numerical approaches. First, a perturbation method is used to describe the influence of Willis coupling on the scattered field to a first-order approximation. A higher-order analysis of the scattering based on generalized impedances is then derived. Finally, a finite element method-based numerical scheme for calculating the the scattered field is presented. These three analyses are compared and show strong agreement for low to moderate levels of Willis coupling.
Keywords
Cite
@article{arxiv.1811.03007,
title = {Acoustic scattering from a fluid cylinder with Willis constitutive properties},
author = {Michael B. Muhlestein and Benjamin M. Goldsberry and Andrew N. Norris and Michael R. Haberman},
journal= {arXiv preprint arXiv:1811.03007},
year = {2019}
}
Comments
5 figures