Abstract
We present an analytical framework to investigate the acoustic performance of an array of closely spaced spherical cavities embedded in a thin soft medium submerged in water. Each layer of cavities is approximated as a homogenized layer with effective properties. Strong monopole resonance of the cavities and multiple scattering of waves between cavities in proximity are taken into account. Analytical results for the metasurface with and without a rigid backing are compared with numerical simulations as well as with experimental results from the literature.
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