Acoustic scattering from a fluid cylinder with Willis constitutive properties

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...

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Bibliographic Details
Published inarXiv.org
Main Authors Muhlestein, Michael B, Goldsberry, Benjamin M, Norris, Andrew N, Haberman, Michael R
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 02.11.2018
Subjects
Acoustic properties
Acoustic scattering
Constitutive equations
Constitutive relationships
Coupling
Cylinders
Finite element method
Mathematical analysis
Perturbation methods
Physics - Computational Physics
Plane waves
Scattering
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Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.1811.03007