利用调制LEGO谐振腔研究一维准周期亚结构的拓扑结构
Exploring Topology of 1D Quasiperiodic Metastructures through Modulated LEGO Resonators
摘要：
我们研究了具有准周期调制局域共振的亚结构的动力学和拓扑结构。这个概念是在一个乐高梁上实现的，该梁具有一个可调柱锥谐振器阵列。该平台的多功能性允许实验映射梁的霍夫斯塔德式共振谱，这是第一次报告的观察弹性介质。非平凡的光谱间隙进行分类评估的整体带，这是实验验证，通过观察局部化的边界处的拓扑边缘状态的状态的积分密度。结果还表明，可以通过选择谐振腔调制律的相位来改变边缘态的空间位置。所提出的结果开辟了新的途径，设计的亚结构与新的功能超越那些遇到的周期性介质，通过利用非周期性图案的局部共振，并提出了一个简单的，可行的平台，观察各种拓扑现象。
英文摘要：
We investigate the dynamics and topology of metastructures with quasiperiodically modulated local resonances. The concept is implemented on a LEGO beam featuring an array of tunable pillar-cone resonators. The versatility of the platform allows the experimental mapping of the beam's Hofstadter-like resonant spectrum, which is the first reported observation for an elastic medium. The non-trivial spectral gaps are classified by evaluating the integrated density of states of the bulk bands, which is experimentally verified through the observation of topological edge states localized at the boundaries. Results also show that the spatial location of the edge states can be varied through the selection of the phase of the resonator's modulation law. The presented results open new pathways for the design of metastructures with novel functionalities going beyond those encountered in periodic media by exploiting aperiodic patterning of local resonances and suggest a simple, viable platform for the observation of a variety of topological phenomena.
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