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The layer multiple-scattering method for calculating transmission coefficients of 2D phononic crystals

机译：计算二维声子晶体透射系数的层多重散射方法

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摘要

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.
机译：我们将层多重散射理论（LMST）扩展为在二维（2D）周期性复合物中传播的弹性波。提出了通过有限平板计算弹性波的反射和透射系数的形式。本着这种精神，晶体被看作是相同的单层序列，沿利文方向具有一维（1D）周期性。通过计算单层的散射矩阵，可以通过双层方案获得多层平板呼叫的反射和透射系数。为了证明这种形式主义的应用，我们计算了由纯固体成分或混合（固体和流体）成分组成的系统的透射系数。通过频带结构计算和超声实验的透射测量，验证了该方法的有效性。 （c）2005 Elsevier Ltd.保留所有权利。

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