摘要
为了高效、准确地分析三维多层各向异性德拜色散媒质的电磁特性,提出了一种快速传输矩阵法(fast-transfer matrix method,F-TMM)。首先,从旋度麦克斯韦方程组出发,利用已知的平面波横向矢量得到各向异性德拜色散媒质中的控制方程。然后,通过对控制方程进行进一步的化简和计算,导出各向异性德拜色散媒质的特征值。最后,利用电场和磁场在分界面处的切向连续性,构造多层媒质中的传输矩阵,获得各向异性德拜色散媒质中的反射系数和透射系数。设计了单层单轴/多层双轴各向异性德拜色散媒质的数值实验,并完成了传播系数的数值对比。结果表明,F-TMM相较于COMSOL软件、CST软件和传统传输矩阵法(traditional-transfer matrix method,T-TMM),计算结果的范数误差均小于10^(-4),计算内存和CPU时间节约了至少46.6%和68.1%。本文方法为研究各向异性德拜色散媒质的电磁特性提供了可靠且高效的计算途径。
To efficiently and accurately analyze the electromagnetic properties of three-dimensional multilayer anisotropic Debye dispersive media,this paper proposes a fast-transfer matrix method(F-TMM).Starting from Maxwell’s curl equations,the method derives the governing equations for anisotropic Debye dispersive media by utilizing the known transverse vectors of plane waves.Through simplification and computation of the governing equations,the eigenvalues of the anisotropic Debye dispersive media are systematically solved.By leveraging the tangential continuity conditions of electric and magnetic fields at interfaces,the transfer matrix within multilayer media is constructed,thereby obtaining the reflection and transmission coefficients in anisotropic Debye dispersive media.Two numerical experiments on single-layer uniaxial and multi-layer biaxial anisotropic Debye dispersive media are designed,and a numerical comparison of propagation coefficients is conducted.The results demonstrate that compared with COMSOL software,CST software,and the traditional-transfer matrix method(T-TMM),F-TMM achieves a norm error of less than 10^(-4) in calculation results,while saving at least 46.6%in computational memory and 68.1%in CPU time,respectively.This method provides a reliable and efficient computational tool for investigating the electromagnetic characteristics of anisotropic Debye dispersive media.
作者
张玉贤
樊久扬
黄志祥
杨利霞
ZHANG Yuxian;FAN Jiuyang;HUANG Zhixiang;YANG Lixia(School of Electronic and Engineering,Anhui University,Hefei 230601,China;State Key Laboratory of Opto-Electronic Information Acquisition and Protection Technology,Anhui University,Hefei 230601,China;Industry-Education-Research Institute of Advanced Materials and Technology for Integrated Circuits,Anhui University,Hefei 230601,China)
出处
《电波科学学报》
北大核心
2025年第3期439-447,共9页
Chinese Journal of Radio Science
基金
国家自然科学基金(62101333)
安徽省高校优秀科研创新团队项目(2022AH010002)
2024年安徽省高校理工科教师赴企业挂职实践计划项目(2024jsqygz02)
广东省教育厅重点平台及科研项目(2021ZDZX1039)。
关键词
各向异性德拜色散媒质
传输矩阵法
控制方程
特征值
反射系数
透射系数
anisotropic Debye dispersive media
transfer matrix method
governing equation
eigenvalues
reflection
transmission coefficients
