We investigate the invisibility via anomalous localized resonance of a general source in anisotropic media for electromagnetic waves. To this end, we first introduce the concept of doubly complementary media in the electromagnetic setting. These are media consisting of negative-index metamaterials in a shell and positive-index materials in its complement for which the shell is complementary to a part of the core and a part of the exterior of the core–shell structure. We then provide criteria for establishing the invisibility of a source in these media. We show that (i) a source is invisible if the power is blown up; (ii) a source is invisible if it is sufficiently close to the plasmonic shell structure, and it is visible if it is far from this plasmonic structure; (iii) if the plasmonic structure is complementary to an annulus of constant isotropic medium, there is a critical length that characterizes the cloaking phenomena, as first observed in the two-dimensional acoustic quasistatic setting by Milton and Nicorovici.

中文翻译：

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通过电磁波源的异常局部共振而看不见

我们调查通过各向异性介质中的电磁波的一般来源的异常局部共振的隐形性。为此，我们首先介绍电磁环境中的双互补介质的概念。这些介质由壳中的负折射率超材料和其互补物中的正折射率材料组成，壳与壳的一部分互补，而壳与壳的一部分外部互补。然后，我们提供了在这些媒体中建立来源隐身性的标准。我们证明（i）如果电源被炸毁，则光源是不可见的；（ii）如果一个源足够接近等离激元壳结构，则该源是不可见的；而如果远离该等离激元结构，则该源是可见的；