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202105017.pdf
文章编号： 1672-6987（2021）05-0111-08； DOI： 10.16351/j.1672-6987.2021.05.017
王焱萍， 毛维涛， 赵秋玲， 张清悦， 王霞*(青岛科技大学 数理学院；山东省新型光电材料与技术工程实验室，山东 青岛 266061)
摘要： 基于传输矩阵法计算了层状光子结构的反射光谱轮廓曲线和表面阻抗，具体分析了反转对称光子结构的表面阻抗在不同带隙内的变化规律。结果表明：反转对称光子结构在带隙内的表面阻抗符号与相邻通带中反射光谱轮廓曲线的零点数目有关；若某通带对应的反射光谱轮廓曲线含有奇数个零点，则表面阻抗虚部在该通带后相邻带隙内的符号与前一个带隙相同；若某通带对应的反射光谱轮廓曲线含有偶数个零点，则在该通带后的带隙内表面阻抗虚部的符号将发生变化；同时反转对称中心不同的两个光子结构的表面阻抗虚部符号在奇数带隙内相反、偶数带隙内相同,其组合结构在奇数带隙内均存在一个界面态，且在该界面态频率处，两个结构的阻抗虚部之和等于零。研究结果可以为层状光子结构产生光学界面态等应用提供理论参考。
关键词： 光子结构； 反转对称； 反射光谱轮廓曲线； 带隙； 表面阻抗
中图分类号： O 431.1文献标志码： A
引用格式： 王焱萍， 毛维涛， 赵秋玲， 等. 一维反转对称光子结构的表面阻抗特性及其应用［J］. 青岛科技大学学报(自然科学版), 2021, 42(5): 111-118.
WANG Yanping, MAO Weitao, ZHAO Qiuling, et al. Surface impedance characteristics and applications of one-dimensional photonic structure with inversion symmetry［J］. Journal of Qingdao University of Science and Technology（Natural Science Edition), 2021， 42（5）： 111-118.
Surface Impedance Characteristics and Applications of One-Dimensional
Photonic Structure with Inversion Symmetry
WANG Yanping, MAO Weitao, ZHAO Qiuling, ZHANG Qingyue, WANG Xia
(College of Mathematics and Physics;Shandong Advanced Optoelectronic Materials and
Technologies Engineering Laboratory, Qingdao 266061, China)
Abstract: Based on the transfer matrix method, the reflection spectrum envelopes and the surface impedances of the layered photonic structures are calculated, and the variation law of the surface impedances in different bandgaps of the photonic structures with inversion symmetry is analyzed. The results show that the sign of surface impedance of the inverse-symmetric photonic structure in the bandgaps is related to the number of the envelope zeros of the reflectance spectrum in the adjacent band, that is if the reflectance spectrum envelope in one certain passband contains odd number of zeros, the sign of the imaginary part of the surface impedance in the adjacent bandgap after the passband is same as that of the previous bandgap; otherwise, the sign of the imaginary part of the surface impedance in the adjacent bandgap after the passband will change. Furthermore, the imaginary part sign of the surface impedance of two photonic structures with different symmetric center is opposite in the odd bandgaps and same in the even bandgaps. There exists an interface state in the odd bandgaps of the combined structure, and at the frequency of the interface state, the sum of the imaginary parts of the surface impedance between two photonic structures with different inversion symmetry centers is equal to zero. The results can provide theoretical reference for the applications of layered photonic structures in optical interface states and so on.
Key words: photonic structure; inversion symmetry; envelope of reflection spectrum; bandgap; surface impedance
收稿日期： 2020-11-18
基金项目： 国家自然科学基金项目（11874232）；山东省重点研发计划项目（2018GGX101008）.
作者简介： 王焱萍(1996—),女，硕士研究生.*通信联系人.
