Singularity of the Bloch theorem in the fluid/solid phononic crystal
Singularity of the Bloch theorem in the fluid/solid phononic crystal
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DOI：
10.1103/physrevb.73.024304
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发表时间：
2006-01
影响因子：
3.7
通讯作者：
Z. Hou;Xiujun Fu;You-yan Liu
中科院分区：
文献类型：
--
作者：
Z. Hou;Xiujun Fu;You-yan Liu
给出了平面波展开法不能处理流体/固体声子晶体的物理根源。我们发现Bloch定理在这类系统的某些区域是奇异的。只有去除奇异性，才能消除平面波展开法在流体/固体体系能带结构中出现的非物理平带。作为例子，给出了一种计算空气/刚性系统能带结构和透射谱的有效方法，说明了在此类系统中如何正确使用Bloch定理。
The physical origin that the plane wave expansion method fails to deal with the fluid/solid phononic crystals is presented. We find that the Bloch theorem is singular in some areas of this kind of system. The unphysical flat bands which appear in the band structure of the fluid/solid systems resulted from the plane wave expansion method can be gotten rid of only when the singularity is removed. As an example, an effective method is presented to calculate the band structure and transmission spectrum of the air/rigid system, in which how to correctly use the Bloch theorem in such kind of systems is shown.