Localized and resonant acoustic waves associated with a periodic array of supported wires

We developed a Green’s function formalism to investigate the localized and resonant acoustic modes of shear horizontal polarization associated with the surface of a substrate supporting a periodic array of wires. Each material is assumed to be an isotropic elastic medium. The calculation can be applied to an arbitrary choice of the shape and elastic parameters of the wires. The surface modes are obtained as well-defined peaks of the densities of states (DOS). In this paper, we calculate the dispersion curves of the surface modes for wires of parabolic section, and discuss their behaviour as a function of the elastic parameters, the height and the periodicity of the wires.