带隙以外的弹性波控制：板和半空间中波流的成形
Elastic wave control beyond band-gaps: shaping the flow of waves in plates and half-spaces
摘要：
众所周知，在超材料中，局部共振和杂化现象会极大地影响色散曲线的形状;由一组共振器（亚波长棒）在弹性表面上形成的超表面是具有这些特征的范例。在这个超颖表面上，带隙、慢波或快波、负折射和动态各向异性都可以通过探索Floquet-Bloch问题的频率和波数以及使用布里渊区来观察。这些极端特性在适当设计时可用于设计和控制弹性波沿超颖表面的传播。对于我们考虑的范例，两个参数很容易调整：杆高度和集群周期性。的高度是直接相关的带隙频率，因此慢波和快波，而周期性的动态各向异性的外观。利用这两个参数可以生成一系列元表面设计，以控制板中的弯曲波和半空间的表面瑞利波的传播。关于频率和波长的管理物理定律的可扩展性允许这些概念在非常不同的领域和在很宽的长度尺度范围内的应用。
英文摘要：
It is well known in metamaterials that local resonance and hybridization phenomena dramatically influence the shape of dispersion curves; the metasurface created by a cluster of resonators, subwavelength rods, atop an elastic surface being an exemplar with these features. On this metasurface, band-gaps, slow or fast waves, negative refraction and dynamic anisotropy can all be observed by exploring frequencies and wavenumbers from the Floquet-Bloch problem and by using the Brillouin zone. These extreme characteristics, when appropriately engineered, can be used to design and control the propagation of elastic waves along the metasurface. For the exemplar we consider, two parameters are easily tuned: rod height and cluster periodicity. The height is directly related to the band-gap frequency, and hence to the slow and fast waves, while the periodicity is related to the appearance of dynamic anisotropy. Playing with these two parameters generates a gallery of metasurface designs to control the propagation of both flexural waves in plates and surface Rayleigh waves for half-spaces. Scalability with respect to the frequency and wavelength of the governing physical laws allows the application of these concepts in very different fields and over a wide range of lengthscales.
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