超材料中时域有限元方法的进展  

Advances in time-domain nite element methods with metamaterials

作　　者：杨伟 李琼杰 Yang Wei;Li Qiongjie(Department of Mathematics and Computer Science,Xiangtan University,Xiang′tan 411105,China)

机构地区：[1]湘潭大学数学与计算科学学院,湖南湘潭411105

出　　处：《纯粹数学与应用数学》2020年第2期127-160,共34页Pure and Applied Mathematics

基　　金：国家自然科学基金(11771371);湖南省教育厅重点项目(18A056).

摘　　要：2000年以来,由于超材料在许多领域的重要应用,如:隐形斗篷的设计,亚波长成像的设计,使得它成为一个非常热门的研究领域.讨论了近年来超材料中Maxwell方程时域有限元方法的最新进展,首先给出三种超材料介质中的时域数学模型与有限元方法,接着讨论圆柱型,地毯式,任意形状电磁隐身的材料参数、色散性质、数学模型与有限元方法.最后给出一些数值实验结果.Since 2000,as a result of a metamaterials important applications in many areas such as the design of the invisibility cloak and sub-wavelength imaging,make it become a very popular field of study,this article discussed the metamaterial Maxwell equation in time domain finite element method of the progress,First,we give the mathematical model of three kinds of time-domain metamaterials with finite element method.Then,we discussed cylindrical,carpet,arbitrary shape stealth material parameters dispersion properties of time-domain electromagnetic mathematical model and finite element method,Finally,we put forward some metamaterials in numerical failed to solve the problems.

关 键 词：麦克斯韦方程 时域有限元方法 超材料模型 电磁隐身 

分 类 号：O178[理学—数学]