Calculation of band structures for surface waves in two-dimensional phononic crystals with a wavelet-based method

A wavelet-based method is developed to calculate the band structures of surface modes in two-dimensional phononic crystals including mixed fluid/solid systems and solid/solid systems with small or large acoustic mismatch. The defect modes of the surface waves are also calculated by using the supercell technique. The method is validated by recomputing the samples already studied in literatures. The results show some merits of the present method. In addition, the present method is applied to some new samples to show more properties of the surface modes. The influences of various factors, especially the acoustic mismatch, on the surface modes are discussed in detail. The present method may serve as an alternative method for studying the surface waves in general phononic lattices.