This paper is concerned with the polariton resonances and their application for cloaking due to anomalous localized resonance (CALR) for the elastic system within the finite frequency regime beyond the quasi-static approximation. We first derive the complete spectral system of the Neumann-Poincare operator associated with the elastic system within the finite frequency regime. Based on the obtained spectral results, we construct a broad class of elastic configurations that can induce polariton resonances beyond the quasi-static limit. As an application, the invisibility cloaking effect is achieved through constructing a class of core-shell-matrix metamaterial structures provided the source is located inside a critical radius. Moreover, if the source is located outside the critical radius, it is proved that there is no resonance.

中文翻译：

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Neumann-Poincaré算子的光谱特性和弹性超准静态极限的异常局域共振

本文关注的是极化子共振及其在超出准静态近似的有限频率范围内弹性系统的异常局部共振（CALR）引起的隐形应用。我们首先推导出与有限频率范围内的弹性系统相关联的 Neumann-Poincare 算子的完整谱系统。基于获得的光谱结果，我们构建了一类广泛的弹性配置，可以引起超出准静态极限的极化子共振。作为一种应用，如果源位于临界半径内，则通过构建一类核-壳-基超材料结构来实现隐身效果。而且，如果源位于临界半径之外，则证明没有共振。