通过提取频率操纵波：可调谐分流器启用的彩虹陷阱
Manipulating waves by distilling frequencies: a tunable shunt-enabled rainbow trap
摘要：
在这项工作中，我们提出并测试了一个可调的，宽带波衰减的机电波导与分流压电夹杂物的战略。我们的策略是建立在大量的现有文献上的振动衰减和带隙产生的结构具有周期性阵列的压电贴片，但区分自己的几个关键功能。首先，我们揭开了周期性是波衰减和带隙形成的必要条件的概念。我们进一步接受“有组织的混乱”的想法，通过调谐电路，以在不同的相邻频率共振。在这样做时，我们创建了能够通过从行波包中“提取”（顺序地）七个频率来衰减具有宽带特性的波的可调谐“彩虹陷阱”[Tsakmakidis等人，Nature 450，397-401（2007）]。最后，我们投入了相当大的注意力的影响，在分组失真的频谱操纵引入分流。这项工作也是为了作为那些接近分流压电领域的教学工具，并试图提供一个不同的视角，丰富的细节，如何成功地设计一个实验装置，涉及连续感应分流。
英文摘要：
In this work, we propose and test a strategy for tunable, broadband wave attenuation in electromechanical waveguides with shunted piezoelectric inclusions. Our strategy is built upon the vast pre-existing literature on vibration attenuation and bandgap generation in structures featuring periodic arrays of piezo patches, but distinguishes itself for several key features. First, we demystify the idea that periodicity is a requirement for wave attenuation and bandgap formation. We further embrace the idea of "organized disorder" by tuning the circuits as to resonate at distinct neighboring frequencies. In doing so, we create a tunable "rainbow trap" [Tsakmakidis et al. Nature 450, 397-401 (2007)] capable of attenuating waves with broadband characteristics, by "distilling" (sequentially) seven frequencies from a traveling wavepacket. Finally, we devote considerable attention to the implications in terms of packet distortion of the spectral manipulation introduced by shunting. This work is also meant to serve as a didactic tool for those approaching the field of shunted piezoelectrics, and attempts to provide a different perspective, with abundant details, on how to successfully design an experimental setup involving resistive-inductive shunts.
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