Developing Finite Element Methods for Simulating Transformation Optics Devices with Metamaterials  

作　　者：Wei Yang Jichun Li Yungqing Huang Bin He 

机构地区：[1]Hunan Key Laboratory for Computation and Simulation in Science and Engineering,Xiangtan University,Xiangtan 411105,P.R.China [2]Department of Mathematical Sciences,University of Nevada Las Vegas,Las Vegas,Nevada 89154-4020,USA

出　　处：《Communications in Computational Physics》2019年第1期135-154,共20页计算物理通讯（英文）

基　　金：supported by NSFC Projects(11771371,11671340);Hunan Education Department Projects(15B236,YB2015B027);Hunan NSF(2017jj3304);NSFC Key Projects(91430213,91630205);NSF grant(DMS-1416742),Guangdong Provincial Engineering Technology Research Center for Data Science.

摘　　要：In this paper,we first develop the mathematical modeling equations for wave propagation in several transformation optics devices,including electromagnetic concentrator,rotator and splitter.Then we propose the corresponding finite element time-domain methods for simulating wave propagation in these transformation optics devices.We implement the proposed algorithms and our numerical results demonstrate the effectiveness of our modeling equations.To our best knowledge,this is the first work on time-domain finite element simulation carried out for the electromagnetic concentrator,rotator and splitter.

关 键 词：Maxwell’s equations finite element time-domain methods edge elements transfor-mation optics 

分 类 号：TE3[石油与天然气工程—油气田开发工程]