Elastic wave scattering by periodic structures of spherical objects: Theory and experiment
Elastic wave scattering by periodic structures of spherical objects: Theory and experiment
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DOI：
10.1103/physrevb.62.2446
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发表时间：
2000-07-15
影响因子：
3.7
通讯作者：
Page, JH
中科院分区：
文献类型：
--
作者：
Liu, ZY;Chan, CT;Page, JH
通过考虑全矢量特征，我们扩展了弹性波的多次散射理论。给出了有限平板的能带结构计算和反射透射计算的形式。后者是基于一个双层的计划，获得的反射和透射矩阵元素的多层板从一个单一的层。作为演示的形式主义的应用程序，我们计算的弹性波在三维周期性排列的球形颗粒和空隙中传播的带结构，以及通过有限板的透射系数。与平面波方法相比，多重散射方法在处理特殊几何形状（本例中为球面几何形状）方面具有优势。我们还提出了一个六角形紧密排列的钢球在水中浸泡的理论和超声实验之间的比较。获得了极好的一致性。
We extend the multiple-scattering theory for elastic waves by taking into account the full vector character. The formalism for both the band structure calculation and the reflection and transmission calculations for finite slabs is presented. The latter is based on a double-layer scheme which obtains the reflection and transmission matrix elements for the multilayer slab from those of a single layer. As a demonstration of applications of the formalism, we calculate the band structures of elastic waves propagating in a three-dimensional periodic arrangement of spherical particles and voids, as well as the transmission coefficients through finite slabs. In contrast with the plane-wave method, the multiple-scattering approach exhibits advantages in handling specialized geometries (spherical geometry in the present case). We also present a comparison between theory and ultrasound experiment for a hexagonal-close-packed array of steel balls immersed in water. Excellent agreement is obtained.