论文标题
部分可观测时空混沌系统的无模型预测
Elastodynamical resonances and cloaking of negative material structures beyond quasistatic approximation
论文作者
论文摘要
考虑到选择负弹性参数的灵活性，我们构建了可以诱导两种共振现象的材料结构，称为弹性动力学共振。他们模仿新兴的等离子体/偏振子共振和亚波长颗粒的光学局部共振。但是，我们研究了超出亚波长度的线性弹性的特殊共振现象。结果表明，共振行为具有不同的特征，有些类似于亚波长度的共振，但由于频率效应而有些截然不同。尤其指出的是，我们构建了一种核心壳材料结构，该结构可以引起异常的局部共振以及超出准静态极限之外的掩盖现象。该研究归结为分析频率状态下所谓的弹性Neumann-Poincáre（N-P）操作员。我们对超出准静态近似的N-P运算符的光谱特性提供了深入的分析，这些结果对层电位运算符的光谱理论具有独立感。
Given the flexibility of choosing negative elastic parameters, we construct material structures that can induce two resonance phenomena, referred to as the elastodynamical resonances. They mimic the emerging plasmon/polariton resonance and anomalous localized resonance in optics for subwavelength particles. However, we study the peculiar resonance phenomena for linear elasticity beyond the subwavelength regime. It is shown that the resonance behaviours possess distinct characters, with some similar to the subwavelength resonances, but some sharply different due to the frequency effect. It is particularly noted that we construct a core-shell material structure that can induce anomalous localized resonance as well as cloaking phenomena beyond the quasi-static limit. The study is boiled down to analyzing the so-called elastic Neumann-Poincáre (N-P) operator in the frequency regime. We provide an in-depth analysis of the spectral properties of the N-P operator beyond the quasi-static approximation,and these results are of independent interest to the spectral theory of layer potential operators.
