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Subwavelength and directional control of flexural waves in plates using topological waveguides

机译:基于maTLaB的板内弯曲波的亚波长和方向控制   拓扑波导

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摘要

Inspired by the quantum spin Hall effect shown by topological insulators, wepropose a plate structure that can be used to demonstrate the pseudo-spin Halleffect for flexural waves. The system consists of a thin plate withperiodically arranged resonators mounted on its top surface. We extend atechnique based on the plane wave expansion method to identify a double Diraccone in such a locally resonant plate structure and to realize topologicaleffects at a subwavelength scale. Building on this method, we verifynumerically that this topological plate structure not only guides low-frequencyflexural waves robustly along a desired path, but also imparts a unique one-waypropagation characteristic to them.
机译:受拓扑绝缘体表现出的量子自旋霍尔效应的启发,我们提出了一种板结构,该结构可用于演示弯曲波的伪自旋霍尔效应。该系统由一块薄板组成,该薄板定期安装在其顶面上。我们扩展了一种基于平面波扩展方法的技术,以在这种局部共振的平板结构中识别出双Diraccone并在亚波长范围内实现拓扑效应。在此方法的基础上,我们从数字上验证了这种拓扑板结构不仅沿所需路径稳固地引导低频弯曲波,而且还赋予了它们独特的单向传播特性。

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