具有局部谐振器的弹性板拓扑波导的实验研究
Experimental demonstration of topological waveguiding in elastic plates with local resonators
摘要：
最近，拓扑绝缘体在凝聚态物理中的出现激发了力学系统中类似的波动现象，主要是在离散晶格模型的设置中。在这里，我们报告的数值和实验演示拓扑波导在连续板。我们采取一个普遍存在的设计螺栓弹性板，并表明，这样的设计使我们能够调用伪自旋霍尔效应在非常低的频率。我们利用螺栓和板的复杂的相互作用，以显示存在一对双狄拉克锥附近的共振频率的螺栓。螺栓图案的操作导致多个拓扑带隙的开放，包括禁止所有板模式的完整带隙。我们证明，在这个带隙内，两个拓扑结构不同的区域之间的界面可以引导弯曲波在尖锐的弯曲处弯曲。
英文摘要：
It is recent that the emergence of topological insulators in condensed matter physics has inspired analogous wave phenomena in mechanical systems, mostly in the setting of discrete lattice models. Here we report a numerical and experimental demonstration of topological waveguiding in a continuum plate. We take a ubiquitous design of a bolted elastic plate and show that such a design allows us to invoke the pseudo-spin Hall effect at remarkably low frequencies. We harness the complex interaction of the bolts and the plate to show the existence of a pair of double Dirac cones near the resonant frequency of the bolt. The manipulation of bolted patterns results in the opening of multiple topological bandgaps, including a complete bandgap that forbids all plate modes. We demonstrate that inside this bandgap, the interface between two topologically distinct zones can guide flexural waves crisply around sharp bends.
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