Bernety Hossein M, Yakovlev Alexander B
J Phys Condens Matter. 2015 May 13;27(18):185304. doi: 10.1088/0953-8984/27/18/185304. Epub 2015 Apr 20.
In this paper, we present a novel analytical approach for cloaking of dielectric and metallic elliptical cylinders with a graphene monolayer and a nanostructured graphene metasurface at low-terahertz frequencies. The analytical approach is based on the solution of the electromagnetic scattering problem in terms of elliptical waves represented by the radial and angular even and odd Mathieu functions, with the use of sheet impedance boundary conditions at the metasurface. It is shown that scattering cancellation occurs for all incident and observation angles. A special case concerns cloaking of a 2D metallic strip represented by a degenerated ellipse, wherein the focal points of the cloak metasurface correspond to the edges of the strip. The analytical approach has been extended in order to cloak a cluster of elliptical objects for different cases of closely spaced, merging, and overlapping configurations. The results obtained by our analytical approach are validated with full-wave numerical simulations.
在本文中，我们提出了一种新颖的分析方法，用于在太赫兹低频下用单层石墨烯和纳米结构石墨烯超表面对介电和金属椭圆圆柱体进行隐身。该分析方法基于以径向和角向偶数和奇数马蒂厄函数表示的椭圆波来求解电磁散射问题，并在超表面使用表面阻抗边界条件。结果表明，对于所有入射角和观测角都能实现散射抵消。一种特殊情况是对由退化椭圆表示的二维金属条进行隐身，其中隐身超表面的焦点对应于金属条的边缘。为了对紧密排列、合并和重叠配置等不同情况下的椭圆物体簇进行隐身，该分析方法已得到扩展。我们通过全波数值模拟验证了分析方法所得的结果。
