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 scattered field is presented. These three analyses are compared and show strong agreement for low to moderate levels of Willis coupling.
Document Details
- Document Type
- Pub Defense Publication
- Publication Date
- Dec 01, 2018
- Source ID
- 10.1098/rspa.2018.0571
Entities
People
- Andrew N Norris
- Benjamin M. Goldsberry
- Michael B Muhlestein
- Michael R Haberman
Organizations
- Engineer Research and Development Center
- Office of Naval Research
- Rutgers University
- University of Texas at Austin