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Whispering-Bloch elastic circuits
Wave Motion ( IF 2.4 ) Pub Date : 2021-05-24 , DOI: 10.1016/j.wavemoti.2021.102755
H.J. Putley , G.J. Chaplain , H. Rakotoarimanga-Andrianjaka , B. Maling , R.V. Craster

We investigate structured arrays and rings in elasticity to design elastic platonic circuits that utilise resonant phenomena. Creating ring resonators, and understanding their coupling to input and output arrays, allows for the development of platonic circuits including add–drop filters (ADFs) and coupled resonator elastic arrays (CREAs), and hence we envisage integrated platonic devices. Structured rings of point-masses placed atop a thin elastic plate lead to highly confined quasi-modes that leak energy; the leakage being quantified by the limiting quality factor Q. The conditions of resonance are deduced using highly accurate numerical simulations based on a Green’s function approach to solve the dispersion relation associated with the structured ring resonators. The sharp resonances that emerge are then used to filter and direct wave energy based on input frequency, and this is illustrated through analogy with devices used in optics, e.g. integrated photonic circuits. The potential applications of the elastic devices include elastic delay lines and passive energy harvesters.



中文翻译:

Whispering-Bloch 弹性回路

我们研究弹性结构阵列和环,以设计利用共振现象的弹性柏拉图电路。创建环形谐振器,并了解它们与输入和输出阵列的耦合,可以开发包括分插滤波器 (ADF) 和耦合谐振器弹性阵列 (CREA) 在内的柏拉图电路,因此我们设想集成柏拉图设备。放置在薄弹性板上的点质量结构环导致泄漏能量的高度受限的准模式;泄漏由限制质量因子量化. 谐振条件是使用基于格林函数方法的高精度数值模拟推导出来的,以解决与结构化环形谐振器相关的色散关系。出现的尖锐共振然后用于根据输入频率过滤和引导波能量,这通过与光学中使用的设备(例如集成光子电路)的类比来说明。弹性装置的潜在应用包括弹性延迟线和被动能量收集器。

更新日期:2021-06-04
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