求解电磁波在层状有耗介质中反射和透射的精细积分方法  

Precise integration method for calculation of reflection and transmission of electromagnetic waves in layered lossy medium

作　　者：方宏远[1,2] 林皋[1,2] 张蓓[3] 

机构地区：[1]大连理工大学建设工程学部土木工程学院,辽宁大连116024 [2]大连理工大学海岸和近海工程国家重点实验室,辽宁大连116024 [3]郑州大学水利与环境学院,河南郑州450002

出　　处：《大连理工大学学报》2012年第5期707-712,共6页Journal of Dalian University of Technology

基　　金：教育部新世纪优秀人才支持计划资助项目(NCET080666);河南省创新型科技人才队伍建设工程资助项目(084100510006)

摘　　要：层状体系分界面处,电场与磁场的水平分量连续,为了便于匹配分界面处的边界条件,将频域麦克斯韦方程化为只含有电场与磁场水平分量的一阶常微分方程形式.采用基于两端边值问题的精细积分方法,分析了电磁波在层状有耗介质中的反射与透射问题.把控制方程按边值问题求解,可以避免在运算过程中出现指数矩阵相乘的大数溢出问题.将数值计算结果与广义传播矩阵方法加以对比,结果显示,精细积分方法具有更好的精度和数值稳定性.Horizontal components of electric and magnetic field are continuous at interface of layered system. In order to match boundary conditions at the interface, the Maxwell equation in frequency domain is modified into the first-order ordinary differential equation, whi horizontal components of electric and magnetic field. The reflection ch and only contains the transmission of electromagnetic waves in layered lossy medium are analyzed by precise integration method based on two-point boundary value problem. By this method, the problem of data overflow from multiplication of exponential matrix in calculating process is avoided. Compared with numerical results, precision and numerical stability of precise integration method are better than generalized propagation matrix method.

关 键 词：电磁波 层状有耗介质 精细积分 反射与透射 

分 类 号：TM151[电气工程—电工理论与新技术]