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arXiv 2007.07107physics.app-phcond-mat.mes-hall
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基于反馈的拓扑声学超材料中弯曲声束的实时控制

Real-Time Steering of Curved Sound Beams in a Feedback-based Topological Acoustic Metamaterial

Lea Sirota, Daniel Sabsovich, Yoav Lahini, Roni Ilan, Yair Shokef

摘要:

我们提出了一种基于反馈的拓扑声学超材料的概念,作为一种工具,用于实现自主和主动引导的声束沿任意弯曲的路径在自由的二维空间。超材料构建块是嵌入在平板波导中的声学换能器。传感器通过预编程控制器处理实时压力场测量结果,在闭环中生成所需的分散分布。特别是,超材料可以被编程为表现出量子拓扑波现象的类比,这使得非常规和异常鲁棒的声束引导成为可能。作为一个例子,我们实现了量子谷霍尔效应通过创建,使用同位压力反馈,在波导的交替声阻抗图案。该模式由不同形状的人工轨迹遍历,这些轨迹是实时可重构的。由于拓扑保护,板之间的声波保持定位在轨迹上,并且不会由于设计中的尖角或缺陷而反向散射。基于反馈的设计可用于实现超材料中的任意物理相互作用,包括非局部、非线性、时间相关或非互易耦合,为在同一可重新编程平台上实现新的非常规声波引导铺平了道路。然后,我们提出了一个非同位控制算法,它模仿另一个量子效应,使声束单向。

英文摘要:

We present the concept of a feedback-based topological acoustic metamaterial as a tool for realizing autonomous and active guiding of sound beams along arbitrary curved paths in free two-dimensional space. The metamaterial building blocks are acoustic transducers, embedded in a slab waveguide. The transducers generate a desired dispersion profile in closed-loop by processing real-time pressure field measurements through preprogrammed controllers. In particular, the metamaterial can be programmed to exhibit analogies of quantum topological wave phenomena, which enables unconventional and exceptionally robust sound beam guiding. As an example, we realize the quantum valley Hall effect by creating, using a collocated pressure feedback, an alternating acoustic impedance pattern across the waveguide. The pattern is traversed by artificial trajectories of different shapes, which are reconfigurable in real-time. Due to topological protection, the sound waves between the plates remain localized on the trajectories, and do not back-scatter by the sharp corners or imperfections in the design. The feedback-based design can be used to realize arbitrary physical interactions in the metamaterial, including non-local, nonlinear, time-dependent, or non-reciprocal couplings, paving the way to new unconventional acoustic wave guiding on the same reprogrammable platform. We then present a non-collocated control algorithm, which mimics another quantum effect, rendering the sound beams uni-directional.

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