论文标题
三维周期介质中的Bloch波群
Clusters of Bloch waves in three-dimensional periodic media
论文作者
论文摘要
我们考虑通过任意形状的周期性阵列来考虑声波传播。固定波长时，包含大小比阵列周期小得多。我们得出并严格地证明了一般频率的分散关系合理性，并表明有一个非凡的频率是，解决方案是在不同方向上以不同频率传播的波群，因此不能独特地定义分散关系。为球形夹杂物提供了例子。
We consider acoustic wave propagation through a periodic array of the inclusions of arbitrary shape. The inclusion size is much smaller than the array period while the wavelength is fixed. We derive and rigorously justify the dispersion relation for general frequencies and show that there are exceptional frequencies for which the solution is a cluster of waves propagating in different directions with different frequencies so that the dispersion relation cannot be defined uniquely. Examples are provided for the spherical inclusions.
