Acoustic scattering from a fluid cylinder with Willis constitutive properties
| Autor: | Muhlestein, Michael B., Goldsberry, Benjamin M., Norris, Andrew N., Haberman, Michael R. |
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| Rok vydání: | 2018 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1098/rspa.2018.0571 |
| Popis: | 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. Comment: 5 figures |
| Databáze: | arXiv |
| Externí odkaz: |
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