Spectral Theory of a Neumann–Poincaré-Type Operator and Analysis of Cloaking Due to Anomalous Localized Resonance
Spectral Theory of a Neumann–Poincaré-Type Operator and Analysis of Cloaking Due to Anomalous Localized Resonance
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DOI：
10.1007/s00205-012-0605-5
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发表时间：
2013-03
影响因子：
2.5
通讯作者：
H. Ammari;Giulio Ciraolo;Hyeonbae Kang;Hyundae Lee;G. Milton
中科院分区：
文献类型：
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作者：
H. Ammari;Giulio Ciraolo;Hyeonbae Kang;Hyundae Lee;G. Milton
如果电介质材料的主体被具有非零损耗参数的负介电常数的等离子体结构覆盖，则当损耗参数趋于零时，可能发生通过异常局域共振（CALR）的隐身。本文的目的是研究这种现象在二维和三维时，涂层结构是径向的，和核，壳和基质是各向同性材料。在二维情况下，我们证明了如果壳层介电常数的真实的部分为-1（假设背景介电常数为1），则发生CALR。如果它不同于-1，则不会发生CALR。在三个维度，我们表明，CALR不会发生。本文的分析表明，CALR的发生是由与结构相关的Neumann-Poincar\'e型算子的本征值分布决定的。
If a body of dielectric material is coated by a plasmonic structure of negative dielectric constant with nonzero loss parameter, then cloaking by anomalous localized resonance (CALR) may occur as the loss parameter tends to zero. The aim of this paper is to investigate this phenomenon in two and three dimensions when the coated structure is radial, and the core, shell and matrix are isotropic materials. In two dimensions, we show that if the real part of the permittivity of the shell is -1 (under the assumption that the permittivity of the background is 1), then CALR takes place. If it is different from -1, then CALR does not occur. In three dimensions, we show that CALR does not occur. The analysis of this paper reveals that occurrence of CALR is determined by the eigenvalue distribution of the Neumann-Poincar\'e-type operator associated with the structure.