Zhi-Zhong Yan1,2, Yue-Sheng Wang1,3, Chuanzeng Zhang2
CMES-Computer Modeling in Engineering & Sciences, Vol.38, No.1, pp. 59-88, 2008, DOI:10.3970/cmes.2008.038.059
Abstract In this paper, a numerical method based on the wavelet theory is developed for calculating band structures of 2D phononic crystals consisting of general anisotropic materials. After systematical consideration of the appropriate choice of wavelets, two types of wavelets, the Haar wavelet and Biorthogonal wavelet, are selected. Combined with the supercell technique, the developed method can be then applied to compute the band structures of phononic crystals with point or line defects. We illustrate the advantages of the method both mathematically and numerically. Particularly some representative numerical examples are presented for various material combinations (solid-solid, solid-fluid and fluid-fluid) with complex… More >
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