期刊
SOLID STATE COMMUNICATIONS
卷 134, 期 11, 页码 765-770出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ssc.2005.02.034
关键词
phononic crystal; transinission coefficients; layer multiple-scattering theory
We extend the layer multiple-scattering theory (LMST) to elastic waves propagating in two-dimensional (2D) periodical composites. The formalism to calculate the reflection and transmission coefficients for elastic waves through finite slabs is presented. In this spirit, the crystal is viewed as a sequence of identical monolayer which has one-dimensional (1D) periodicity along a Liven direction. The reflection and transmission coefficients for a multilayer slab call be obtained by a double-layer scheme through the calculation of the scattering matrix of a monolayer. To demonstrate the application of this formalism, we calculate transmission coefficients for systems consisting of pure solid components or mixing (solid and fluid) components. The validity of this method is checked by both band structure calculations and transmission measurement of ultrasonic experiment. (c) 2005 Elsevier Ltd. All rights reserved.
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