Seismic metasurfaces: Sub-wavelength resonators and Rayleigh wave interaction
Seismic metasurfaces: Sub-wavelength resonators and Rayleigh wave interaction
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DOI：
10.1016/j.jmps.2016.12.004
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发表时间：
2017-02-01
影响因子：
5.3
通讯作者：
Guenneau, S. R. L.
中科院分区：
文献类型：
--
作者：
Colquitt, D. J.;Colombi, A.;Guenneau, S. R. L.
我们考虑放置在弹性衬底上的杆阵列的正则问题，这些杆充当谐振器，衬底既可以是弹性薄板，也可以是弹性半空间。在这两种情况下，衬底中的弯曲平板或瑞利表面的波与谐振器相互作用，产生有趣的效应，如表面波的有效带隙或将表面波转换为体波的滤光片；这些效应在光学领域有相似之处，在光学领域，这种亚波长谐振器在主体和自由表面产生超材料。在这里，我们通过解析地提取色散关系来仔细分析这个正则问题，从而检查弯曲和压缩共振对传播波的影响。对于弹性半空间上的谐振器阵列，我们用数值模拟来加强分析。在其他效应中，我们演示了色散曲线的显著效应，该色散曲线对应于从类瑞利波转变为类剪切波的模式，以及由此导致的从表面波场到体波场的变化。
We consider the canonical problem of an array of rods, which act as resonators, placed on an elastic substrate; the substrate being either a thin elastic plate or an elastic half-space. In both cases the flexural plate, or Rayleigh surface, waves in the substrate interact with the resonators to create interesting effects such as effective band-gaps for surface waves or filters that transform surface waves into bulk waves; these effects have parallels in the field of optics where such sub wavelength resonators create metamaterials in the bulk and metasurfaces at the free surfaces.Here we carefully analyse this canonical problem by extracting the dispersion relations analytically thereby examining the influence of both the flexural and compressional resonances on the propagating wave. For an array of resonators atop an elastic half-space we augment the analysis with numerical simulations. Amongst other effects, we demonstrate the striking effect of a dispersion curve which corresponds to a mode that transitions from Rayleigh wave-like to shear wave -like behaviour and the resultant change in the fields from surface to bulk waves.