Finite element modeling of electromagnetic properties in photonic bianisotropic structures

被引:7
|
作者
Xiong, Zhongfei [1 ]
Chen, Weijin [1 ,2 ]
Wang, Zhuoran [1 ]
Xu, Jing [1 ,3 ]
Chen, Yuntian [1 ,3 ]
机构
[1] Huazhong Univ Sci & Technol, Sch Opt & Elect Informat, Wuhan 430074, Peoples R China
[2] Natl Univ Singapore, Dept Elect & Comp Engn ECE, Singapore 117583, Singapore
[3] Huazhong Univ Sci & Technol, Wuhan Natl Lab Optoelect, Wuhan 430074, Peoples R China
基金
中国国家自然科学基金;
关键词
bianisotropic; finite element method; adjoint; HOMOGENIZATION; METAMATERIALS; PARAMETERS;
D O I
10.1007/s12200-021-1213-5
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
Given a constitutive relation of the bianisotropic medium, it is not trivial to study how light interacts with the photonic bianisotropic structure due to the limited available means of studying electromagnetic properties in bianisotropic media. In this paper, we study the electromagnetic properties of photonic bianisotropic structures using the finite element method. We prove that the vector wave equation with the presence of bianisotropic is self-adjoint under scalar inner product. we propose a balanced formulation of weak form in the practical implementation, which outperforms the standard formulation in finite element modeling. Furthermore, we benchmark our numerical results obtained from finite element simulation in three different scenarios. These are bianisotropy-dependent reflection and transmission of plane waves incident onto a bianisotropic slab, band structure of bianisotropic photonic crystals with valley-dependent phenomena, and the modal properties of bianisotropic ring resonators. The first two simulated results obtained from our modified weak form yield excellent agreements either with theoretical predictions or available data from the literature, and the modal properties in the last example, i.e., bianisotropic ring resonators as a polarization-dependent optical insulator, are also consistent with the theoretical analyses.
引用
收藏
页码:148 / 153
页数:6
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