Depolarization of mechanical waves by elastodynamic metasurface

L. Schwan, C. Boutin, M. Dietz
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Abstract

While the manipulation of wave polarization is commonplace in electromagnetism, the physical means to do so in homogeneous elastic media used to remain an open question. Here, we report the concept of micro-structured surfaces with inner resonance in the field of elastodynamics. Such a metasurface can tune the boundary conditions at specific frequencies and achieve the depolarization of mechanical waves without introducing heterogeneities in the medium itself. The principle relies on the anisotropic behaviour of an array of resonators with deep-subwavelength spacing: The localization of Bragg interferences in a boundary layer enables to homogenize the resonant array into an unconventional surface impedance, the frequency-dependence and anisotropy of which lead to depolarization. The concept of elastodynamic metasurfaces is put into practice experimentally and results bear testament to its efficacy and robustness to control the polarization of reflected waves. Such metasurfaces are easily realized, analytically predictable, and very adjustable, opening new possibilities in vibration control and tomography techniques, from nano- to geophysical scale.
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弹性动力超表面对机械波的去极化
虽然操纵波极化在电磁学中是司空见惯的,但在均匀弹性介质中这样做的物理方法仍然是一个悬而未决的问题。在此,我们报告了弹性动力学领域中具有内共振的微结构表面的概念。这种超表面可以在特定频率下调整边界条件,实现机械波的去极化,而不引入介质本身的非均质性。该原理依赖于具有深亚波长间隔的谐振器阵列的各向异性行为:边界层中布拉格干涉的局域化使谐振阵列均匀化为非常规的表面阻抗,其频率依赖性和各向异性导致去极化。将弹性动力超表面的概念应用于实验,实验结果证明了其控制反射波偏振的有效性和鲁棒性。这种超表面很容易实现,分析上可预测,并且非常可调节,为振动控制和断层扫描技术开辟了新的可能性,从纳米到地球物理尺度。
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