Finite-element Analysis of Three-dimensional Axisymmetrical Invisibility Cloaks and Other Metamaterial Devices
Finite-element Analysis of Three-dimensional Axisymmetrical Invisibility Cloaks and Other Metamaterial Devices
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DOI：
10.4208/cicp.091009.080210a
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发表时间：
2010-06
影响因子：
3.7
通讯作者：
Y. Zhai;X. Ping;W. Jiang;T. Cui
中科院分区：
文献类型：
--
作者：
Y. Zhai;X. Ping;W. Jiang;T. Cui
超材料器件的精确模拟对于分析其电磁特性非常重要。然而，由于巨大的内存需求和较长的计算时间，对三维（3D）超材料器件进行全波模拟非常困难。在本文中，我们提出了一种有效的有限元方法 (FEM) 来分析通过变换光学方法设计的 3D 轴对称电磁设备，例如隐形斗篷和聚光器。在所提出的方法中，我们使用基于边缘的矢量基函数来扩展横向场分量，并使用基于节点的标量基函数来扩展角度分量。 FEM 网格被截断为圆柱形完美匹配层。我们应用该方法研究了球形和椭圆形隐形斗篷以及圆柱形聚光器的散射，其中介电常数和磁导率都是不均匀且各向异性的。数值结果表明了该方法的有效性和效率。 AMS 科目分类：52B10、65D18、68U05、68U07
Accurate simulations of metamaterial devices are very important in the analysis of their electromagnetic properties. However, it is very difficult to make full-wave simulations of three-dimensional (3D) metamaterial devices due to the huge memory requirements and long computing time. In this paper, we present an efficient finiteelement method (FEM) to analyze 3D axisymmetric electromagnetic devices designed by the transformation-optics approach, such as invisibility cloaks and concentrators. In the proposed method, we use the edge-based vector basis functions to expand the transverse field components, and the node-based scalar basis functions to expand the angular component. The FEM mesh is truncated with a cylindrical perfectly matched layer. We have applied the method to investigate the scattering from spherical and ellipsoidal invisibility cloaks and circularly cylindrical concentrators, in which the permittivity and permeability are both inhomogeneous and anisotropic. Numerical results are presented to show the validity and efficiency of the method. AMS subject classifications: 52B10, 65D18, 68U05, 68U07