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Local resonator stimulated polarization transition in metamaterials and the formation of topological interface states
Mechanical Systems and Signal Processing ( IF 7.9 ) Pub Date : 2021-09-01 , DOI: 10.1016/j.ymssp.2021.108388
Guobiao Hu 1 , Chunbo Lan 2 , Lihua Tang 3 , Yaowen Yang 1
Affiliation  

Developing the acoustic-elastic analogy of a topological insulator has attracted extensive research attention in recent years. Designs developed in the literature strongly rely on reforming the host structure of a system to achieve topology transition. In this article, an innovative topological metamaterial is presented. Unlike topological phononic crystals, the proposed topological metamaterial has a uniform host structure without any phononic crystal features. The band inversion and polarization transition are achieved by manipulating the design of local resonators. It has been proven that by changing the coupling spring constant of local resonators, the mode topologies at the bound states associated with the band gaps can be converted. Three polarization transition points have been found from the bound evolution analysis, and all of them possess the capability of stimulating topological interface states in the corresponding band gaps. The Zak phase calculations have further ascertained the prediction about the topological interface states. The band structure and transmittance spectrum of a supercell lattice of the proposed topological metamaterial have been examined. The topological interface states, as well as the energy localization effects, have been successfully observed in all the three band gaps. The proposed metamaterial brings the convenience of creating topological interface states by carefully manipulating the local resonators only. The methodology presented in this work is thus of practical significance in transforming existing structures into topological systems without revising them.



中文翻译:

局部谐振器激发超材料中的极化跃迁和拓扑界面态的形成

近年来,拓扑绝缘体的声弹性模拟引起了广泛的研究关注。文献中开发的设计强烈依赖于改造系统的主机结构以实现拓扑转换。在本文中,提出了一种创新的拓扑超材料。与拓扑声子晶体不同,所提出的拓扑超材料具有均匀的主体结构,没有任何声子晶体特征。通过操纵局部谐振器的设计来实现频带反转和极化转变。已经证明,通过改变局部谐振器的耦合弹簧常数,可以转换与带隙相关联的束缚态的模式拓扑。从边界演化分析中发现了三个极化转变点,并且它们都具有在相应带隙中激发拓扑界面态的能力。Zak 相计算进一步确定了关于拓扑界面态的预测。已经检查了所提出的拓扑超材料的超胞晶格的能带结构和透射光谱。在所有三个带隙中都成功观察到拓扑界面态以及能量局部化效应。所提出的超材料通过仅仔细操纵局部谐振器来带来创建拓扑界面状态的便利。因此,这项工作中提出的方法在将现有结构转换为拓扑系统而不对其进行修改方面具有实际意义。

更新日期:2021-09-01
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