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A metasurface comprising cavities in a soft medium has been proven to be highly efficient for control of water-borne sound waves. We formulate an analytical model to predict the acoustic performance of a soft elastic medium embedded with disk-shaped cavities and submerged in water. Each layer of cavities is approximated as an effective boundary that incorporates the effect of multiple scattering of waves and accounts for different damping mechanisms. The results from our analytical model are compared with numerical and experimental results from the literature.
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Sharma et al. (2020) studied this question.
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