电子学报Issue(10):1898-1903,6.DOI:10.3969/j.issn.0372-2112.2015.10.003
基于半解析谱元法的各向异性介质PBG 结构传输特性的研究
Research on Transmission Characteristics of an Anisotropic Dielectric PBG Structures Based on Semianalytical Spectral Element Method
摘要
Abstract
Precise integration method combined with the spectral element is used to simulate and analyze the stop-band char-acteristic of anisotropic dielectric layer photonic band-gap (PBG)structures in waveguide.From the variational principle based on single variable corresponding to the vector wave equation,2-D spectral elements are employed to discretize the cross section of the layered structure,which contains anisotropic dielectric.Introducing the dual-variables,the variational principle is cast into the Hamil-tonian system,and then the high precision integration method is utilized to perform the stiff matrices.Compared with conventional fi-nite element method and semianalytical finite element method,numerical results demonstrate that the semianalytical spectral element method is more accurate and efficient for anisotropic PBG structures analysis,and it can achieve spectral accuracy with the increase of interpolation degrees of basis functions.关键词
各向异性/光子带隙 (PBG)/谱单元/精细积分法Key words
anisotropic/photonic band-gap (PBG)/spectral element method/precise integration method分类
数理科学引用本文复制引用
杨红卫,王改页,黄翠莺,孟珊珊..基于半解析谱元法的各向异性介质PBG 结构传输特性的研究[J].电子学报,2015,(10):1898-1903,6.基金项目
国家自然科学基金(No.11172008,No.11272020);北京工业大学基础研究基金 ()