基于CDF-MRTD分析波导介质层光子带隙(PBG)结构的传输特性  

Transmission Characteristics of PBG Structure in Waveguide Dielectric Layer Based on MRTD

作　　者：蔡孟翔 李磊 林加剑[1] CAI Mengxiang;LI Lei;LIN Jiajian(School of Electrical Engineering and Automation,Anhui University,Hefei 230601,China)

机构地区：[1]安徽大学电气工程与自动化学院工程力学重点实验室,安徽合肥230601

出　　处：《材料科学与工程学报》2022年第5期859-864,共6页Journal of Materials Science and Engineering

基　　金：国家自然基金资助项目(61702001);安徽省青年人才基金资助项目(2013SQRL009ZD);中国博士后科学基金资助项目(20100481453);自然资源部中国地质调查局资助项目(DD20190647)。

摘　　要：将具有紧支撑和对称特性的Cohen-Daubechies-Feauveau (CDF)双正交尺度函数的时域多分辨率(MRTD)算法用于波导介质层式光子带隙(PBG)结构的分析,并对影响光子晶体波导阻特性的因素例如周期长度、折射率常数比、介质层厚度比等进行了详细的分析。数值实验显示周期长度、周期个数的设置对禁带与阻带内滤波特性有直接影响。因此,在对矩形光子晶体波导进行优化设计可以通过对其周期长度、周期个数等参数的优化处理实现。此外,与传统时域有限差分法(FDTD)算法相比,CDF-MRTD算法在较大离散网格尺寸下,仍具有良好的精度,因此可以有效地的减少对计算机的CPU和内存占用。In this article, the multiresolution time domain(MRTD) algorithm based on Cohen Daubechies-Feauveau(CDF) biorthogonal scale function with compact support and symmetry is used to analyze the waveguide dielectric layer photonic band gap(PBG) structure. The factors affecting the resistance characteristics of photonic crystal waveguides, such as period length, refractive index constant ratio and dielectric layer thickness ratio, are analyzed in detail. Numerical experiments show that the setting of cycle length and number of cycles has a direct and great influence on the filtering characteristics in the band gap and stopband. Therefore, in the optimization design of rectangular photonic crystal waveguide, its cycle length, number of cycles and other parameters can be optimized. Compared with the traditional finite-difference time-domain(FDTD) algorithm, CDF-MRTD algorithm still has a good accuracy under large discrete grid size, so it can effectively reduce the occupation of CPU and memory of computer.

关 键 词：CDF 时域多分辨率算法 PBG结构 传输特性 

分 类 号：TN801[电子电信—信息与通信工程] TM15[电气工程—电工理论与新技术]