Cloaking using complementary media for electromagnetic waves

Cloaking using complementary media for electromagnetic waves
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使用电磁波补充介质进行隐形

DOI:
10.1051/cocv/2017078
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发表时间:
2017
期刊:
ESAIM: Control, Optimisation and Calculus of Variations
影响因子:
--
通讯作者:
Hoai
Hoai
中科院分区:
--
文献类型:
--
作者:
Hoai

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负折射率材料是指在一定频率范围内折射率为负值的人工结构。这些材料的研究在科学界引起了极大的关注,不仅是因为它们有许多潜在的有趣的应用,还因为由于描述它们的方程中的变号系数,在理解它们有趣的性质方面遇到了挑战。在本文中,我们建立了利用互补介质对电磁波进行隐身的方法。这证实和推广了Lai等人的建议。[物理。莱特牧师。102(2009)093901],用于完整的麦克斯韦方程。分析基于反射和消除局域奇异性技术、三球不等式和麦克斯韦方程可归结为弱耦合二阶椭圆型方程的事实。
Negative index materials are artificial structures whose refractive index has negative value over some frequency range. The study of these materials has attracted a lot of attention in the scientific community not only because of their many potential interesting applications but also because of challenges in understanding their intriguing properties due to the sign-changing coefficients in equations describing their properties. In this paper, we establish cloaking using complementary media for electromagnetic waves. This confirms and extends the suggestions of Lai et al. [Phys. Rev. Lett. 102 (2009) 093901] for the full Maxwell equations. The analysis is based on the reflecting and removing localized singularity techniques, three-sphere inequalities, and the fact that the Maxwell equations can be reduced to a weakly coupled second order elliptic equations.
DOI: 10.1007/s00220-014-1943-y
发表时间: 2012-10
影响因子: 2.4
作者:
R. Kohn;Jianfeng Lu;B. Schweizer;M. Weinstein
通讯作者: R. Kohn;Jianfeng Lu;B. Schweizer;M. Weinstein