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Abstract
Using a Finite Difference Time Domain (FDTD) method, we investigate the formation of band gaps in the audible frequency range with the help of locally resonant two-dimensional (2D) phononic crystals. It is shown that in a phononic crystal in which the cylindrical inclusions are consisting of a hard steel core coated with a soft rubber and the matrix is a solid such as epoxy, the gap associated with the local resonance may become large by increasing the filling factor. We also consider the case of inclusions consisting of a coaxial cylindrical multi-layers consisting of several alternate shells of soft polymer and steel. Then, the former gap is divided into several smaller gaps separated by narrow transmission bands.
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