In this paper, we describe the manifestation of localized states of a diffuse elastic wavefield inside a two-dimensional metamaterial made of a collection of vertical long beams glued to a thin plate. Through mesoscopic physics, we demonstrate that localized states arise due to multiwave interactions at the beam-plate attachment when the beams act as coupled resonators for both compressional and flexural resonances on the metasurface. In practice, when the compressional resonance of the beams clamps the plate on a large frequency band gap, thus preventing wave propagation inside the metamaterial area, the flexural resonance of the same beams permits evanescent waves to be diffused on a narrow frequency band between clusters of neighboring beams. This experiment physically highlights a tight-binding-like coupling in the localized regime for this two-dimensional metamaterial.

中文翻译：

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通过多波相互作用的超表面上的局部模式

在本文中，我们描述了二维超常材料内部的扩散弹性波场的局部状态的表现，该超常材料是由粘贴在薄板上的垂直长束的集合组成的。通过介观物理学，我们证明了当光束充当超表面上的压缩共振和弯曲共振的耦合共振器时，由于梁板附件处的多波相互作用而产生了局部状态。在实践中，当光束的压缩共振将板夹在较大的频带间隙上时，从而防止了波在超材料区域内传播，相同光束的挠曲共振使waves逝波能够扩散到超音波簇之间的狭窄频带上。相邻的横梁。