Reflection from a multi-species material and its transmitted effective wavenumber.

ABSTRACT: We formally deduce closed-form expressions for the transmitted effective wavenumber of a material comprising multiple types of inclusions or particles (multi-species), dispersed in a uniform background medium. The expressions, derived here for the first time, are valid for moderate volume fractions and without restriction on the frequency. We show that the multi-species effective wavenumber is not a straightforward extension of expressions for a single species. Comparisons are drawn with state-of-the-art models in acoustics by presenting numerical results for a concrete and a water-oil emulsion in two dimensions. The limit of when one species is much smaller than the other is also discussed and we determine the background medium felt by the larger species in this limit. Surprisingly, we sh

SUBMITTER: Gower AL 

PROVIDER: S-EPMC5938676 | biostudies-literature | 2018 Apr

REPOSITORIES: biostudies-literature