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Negative refraction and backward waves in layered acoustic metamaterials

机译：层状声学超材料中的负折射和后向波

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摘要

We investigate layered acoustic metamaterials capable of exhibiting a wide variety of wave propagation phenomena, including backward and forward waves with and without negative refraction. The metamaterials are formed by periodically perforated hard plates, which we describe analytically in the limit of small holes compared to both the period and the separation between plates. In particular, we derive expressions for the index of refraction and the transmission and reflection coefficients of finite slabs. We provide illustrative examples of near fields for all four combinations of backward and forward waves with and without negative refraction, along with dispersion diagrams that explain the observed behavior. A comprehensive study of the range of geometrical parameters in which these distinct phenomena are observed is presented as well. These metamaterials hold great promise for achieving full control of sound using simple structures, with potential application to acoustic technologies relying on subwavelength control and imaging of sound.
机译：我们研究了能够展现多种波传播现象的层状声学超材料，包括具有和不具有负折射的后向和前向波。超材料是由周期性穿孔的硬板形成的，与周期和板之间的间隔相比，我们在分析中描述了小孔的极限。特别是，我们导出了折射率以及有限平板的透射和反射系数的表达式。我们提供了带有和不带有负折射的后向和正向波的所有四个组合的近场的说明性示例，以及解释观察到的行为的色散图。还介绍了对其中观察到这些不同现象的几何参数范围的全面研究。这些超材料具有使用简单的结构实现声音完全控制的巨大希望，并且有望应用于依赖亚波长控制和声音成像的声学技术。

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