论文标题
非局部谐振弹性超材料的极端空间分散
Extreme Spatial Dispersion in Nonlocally-Resonant Elastic Metamaterials
论文作者
论文摘要
迄今为止，绝大多数架构材料都利用了两个物理原则来控制波浪行为，即布拉格干扰和局部共鸣。在这里，我们描述了第三条途径：可容纳有限数量的DeLocalized零能量模式的结构，从而导致异常分散锥，这些分散锥从0 Hz处的极端空间分散体核定。我们解释了如何在弹性的背景下设计这种零能量的模式，并表明，超材料的许多地标波性能也可以通过相关的异常锥体以极端的次波长范围诱导，而不会受到相同的带宽限制的困扰。然后，我们通过模拟和实验的组合来验证我们的理论。最后，我们提出了一种在动量空间中所需位置产生异常锥体的反设计方法。
To date, the vast majority of architected materials have leveraged two physical principles to control wave behavior, namely Bragg interference and local resonances. Here, we describe a third path: structures that accommodate a finite number of delocalized zero-energy modes, leading to anomalous dispersion cones that nucleate from extreme spatial dispersion at 0 Hz. We explain how to design such zero-energy modes in the context of elasticity and show that many of the landmark wave properties of metamaterials can also be induced at an extremely subwavelength scale by the associated anomalous cones, without suffering from the same bandwidth limitations. We then validate our theory through a combination of simulations and experiments. Finally, we present an inverse design method to produce anomalous cones at desired locations in momentum space.
