共 13 条
Spectral Properties of Neumann-Poincaré Operator and Anomalous Localized Resonance in Elasticity Beyond Quasi-Static Limit
被引:0
|作者:
Youjun Deng
Hongjie Li
Hongyu Liu
机构:
[1] Central South University,School of Mathematics and Statistics
[2] The Chinese University of Hong Kong,Department of Mathematics
[3] City University of Hong Kong,Department of Mathematics
来源:
Journal of Elasticity
|
2020年
/
140卷
关键词:
Anomalous localized resonance;
Negative elastic materials;
Core-shell structure;
Beyond quasistatic limit;
Neumann-Poincaré operator;
Spectral;
35R30;
35B30;
35Q60;
47G40;
D O I:
暂无
中图分类号:
学科分类号:
摘要:
This paper is concerned with the polariton resonances and their application for cloaking due to anomalous localized resonance (CALR) for the elastic system within finite frequency regime beyond the quasi-static approximation. We first derive the complete spectral system of the Neumann-Poincaré operator associated with the elastic system in R3\documentclass[12pt]{minimal}
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\begin{document}$\mathbb{R}^{3}$\end{document} 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.
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页码:213 / 242
页数:29
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