“单显”矩阵下加权Laguerre-FDTD法在柱形结构中的应用研究  

Research on the application of weighted-Laguerre-FDTD method with“unidirectional explicit”matrix in cylindrical structure

作　　者：朱大伟 陈海林 沈忠文 贾秀玲 李镇 ZHU Dawei;CHEN Hailin;SHEN Zhongwen;JIA Xiuling;LI Zhen(School of Electrical Engineering,Nanjing Vocational University of Industry Technology,Nanjing 210023,China;National Key Laboratory on Electromagnetic Environmental Effects and Electro-optical Engineering,Army Engineering University,Nanjing 210007,China;School of Electronic Science and Engineering,Southeast University,Nanjing 210018,China;School of Electronic Science and Engineering,Nanjing University,Nanjing 210046,China)

机构地区：[1]南京工业职业技术大学电气工程学院,江苏南京210023 [2]陆军工程大学电磁环境效应与光电工程国家级重点实验室,江苏南京210007 [3]东南大学电子科学与工程学院,江苏南京210018 [4]南京大学电子科学与工程学院,江苏南京210046

出　　处：《通信学报》2023年第7期230-242,共13页Journal on Communications

基　　金：国家自然科学基金资助项目(No.61701221);南京工业职业技术大学引进人才科研启动基金资助项目(No.YK21-02-01);江苏省高等学校基础科学(自然科学)研究基金资助项目(No.22KJD510006)。

摘　　要：为解决通信应用中时域有限差分(FDTD)算法在电磁波传播中的不足,构建“单显”矩阵下FDTD算法并应用至柱形结构。首先,结合弱条件稳定(WCS)和加权拉盖尔多项式(WLP)思想,建立新系数矩阵。其次,引入微扰项形成初值和迭代方程。最后,对z轴上的场进行特殊处理。算例证明,所提算法在电磁波传播中优于WCS-FDTD和WLP-FDTD算法,最佳提升83%的效率和88%精度,降低44%内存消耗。同时,对比传统FDTD算法,在不失精度的情况下,提升7个时间步长的效率,降低53%内存消耗。此外,在完全匹配层(PML)边界截断下,所提算法亦呈现良好的电磁波吸能性能,可不超过-60 dB。To solve the shortcomings of FDTD algorithm in electromagnetic wave propagation in communication applications.A FDTD algorithm under“unidirectional explicit”matrix was constructed and applied to cylindrical structure.Firstly,a new coefficient matrix was established by the ideology of WCS and WLP.Secondly,the perturbation terms were introduced to form the initial value and iterative equations.Finally,the fields on the z axis were treated in special way.Numerical examples prove that the proposed algorithm is superior to the WCS-FDTD and WLP-FDTD in electromagnetic wave propagation.The best improvement efficiency is 83%,accuracy is 88%,and memory consumption is reduced by 44%.Meanwhile,comparing with the conventional FDTD algorithm,it can improve the efficiency of 7 time steps size and reduce the memory consumption by 53% without losing accuracy.Moreover,under the boundary truncation of the PML,the proposed algorithm also shows good electromagnetic wave energy absorption performance,which can reach below-60 dB.

关 键 词：时域有限差分 系数矩阵 显式处理 加权拉盖尔多项式 轴上特殊处理 

分 类 号：TN92[电子电信—通信与信息系统]