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arXiv 1608.01792physics.geo-phphysics.class-ph
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地震元表面:亚波长共振器和瑞利波相互作用

Seismic metasurfaces: Sub-wavelength resonators and Rayleigh wave interaction

D. J. Colquitt, A. Colombi, R. V. Craster, P. Roux, S. R. L. Guenneau

摘要:

我们考虑的正则问题的一个阵列的杆,作为谐振器,放置在一个弹性基板;基板是一个薄的弹性板或弹性半空间。在这两种情况下,基板中的弯曲板或瑞利表面波与谐振器相互作用以产生有趣的效应,例如用于表面波的有效带隙或将表面波转换成体波的滤波器;这些效应在光学领域中具有平行性,其中这种亚波长谐振器分别在体中和在表面处产生超材料和超表面。在这里,我们仔细分析这个典型的问题,提取的频散关系分析,从而研究的影响,弯曲和压缩共振的传播波。对于弹性半空间顶部的谐振器阵列,我们增加了数值模拟的分析。除其他影响外,我们展示了从瑞利波状的剪切波状的行为和由此产生的变化,从表面到体波位移的色散曲线的显着效果。

英文摘要:

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, and metasurfaces, in the bulk and at the surface respectively. 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 that transitions from Rayleigh wave-like to shear wave-like behaviour and the resultant change in displacement from surface to bulk waves.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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