方宏远,林皋,张蓓.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[J].,2012,(5):707-712 |
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 |
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DOI:10.7511/dllgxb201205014 |
中文关键词: 电磁波 层状有耗介质 精细积分 反射与透射 |
英文关键词: electromagnetic waves layered lossy medium precise integration reflection and transmission |
基金项目: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). |
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中文摘要: |
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. |
英文摘要: |
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,which only contains the horizontal components of electric and magnetic field. The reflection and 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. |
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