Abstract

Periodic binary systems can give rise to complete acoustic band gaps (i.e., stop bands) within which sound and vibrations are forbidden. We compute the band structure for two-dimensional (2D) periodic arrays of long water cylinders surrounded by mercury host. Complete acoustic stop bands are found for both square and hexagonal lattices. We emphasize that such a simple 2D inhomogeneous system of liquids exhibits the widest stop bands ever reported for elastic as well as dielectric composites. We find gap/midgap ratios as high as ∼1. For mercury cylinders surrounded by water the gaps obtained are much smaller.

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