Analysis of wave propagation in phononic crystals with channel using the plane-wave expansion and supercell techniques

Zi-Gui Huang, Tsung-Tsong Wu
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引用次数: 7

Abstract

In this paper, based on the plane-wave expansion method and the supercell technique, we analyze the defect modes and extended modes of two-dimensional phononic crystals. In addition, with the supercell technique, the propagating modes of phononic band structures with acoustic channel are studied. The glycerin/mercury and vacuum/silicon band structures are the examples employed in this paper. Couplings of propagating modes and point defect modes are also investigated in phononic crystals with channel. From the calculated results, we can find that the defect modes and extended modes are obvious not only for the bulk acoustic waves but also for the surface acoustic waves in phononic crystals. On the other hand, the mode shapes for different defect modes and propagating modes can also be expressed using the plane-wave expansion and supercell techniques. Through a suitable design, the acoustic filters and waveguides are the possible applications in the two-dimensional phononic crystals.
利用平面波扩展和超级单体技术分析声子晶体中有通道的波传播
本文基于平面波展开法和超级单体技术,分析了二维声子晶体的缺陷模和扩展模。此外,利用超级单体技术研究了声道声子带结构的传播模式。甘油/汞和真空/硅带结构是本文采用的例子。研究了带通道声子晶体中传播模和点缺陷模的耦合。从计算结果可以看出,声子晶体中不仅本体声波存在缺陷模和扩展模,表面声波也存在缺陷模和扩展模。另一方面,不同缺陷模态和传播模态的模态振型也可以用平面波展开和超级单体技术表示。通过适当的设计,声滤波器和波导在二维声子晶体中有可能得到应用。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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