单轴双各向异性介质圆柱电磁散射解析解的研究

发布时间：2018-01-06 08:29

本文关键词：单轴双各向异性介质圆柱电磁散射解析解的研究　出处：《杭州电子科技大学》2015年硕士论文　论文类型：学位论文

【摘要】：对于复杂介质电磁散射问题的分析在现代移动通信、雷达探测、导航和定位技术、新型天线的研发等军用和民用领域具有重要意义。利用矢量波函数的解析法是求解电磁散射的方法之一,本文即开展此类方法研究,研究意义就是利用简化矢量波函数来分析无限长均匀单轴双各向异性介质圆柱对平面入射波的电磁散射特性。其中,能否展开单轴双各向异性介质圆柱内的电磁场量是问题求解的关键。本文所研究的单轴双各向异性介质的本征方程中存在四个张量。基于介质的本构关系,由无源麦克斯韦方程组分别导出电场和磁场满足的微分方程。利用傅里叶变换来求方程的解,基于对未知角普幅度的傅里叶展开和本征平面波的表达式,引入柱矢量波函数,将圆柱内场表达为柱矢量波函数的积分方程。然后,建立二维垂直入射的边界条件,单轴双各向异性介质圆柱位于自由空间中受均匀平面波的垂直入射极化为TE波或TM波,据此给出圆柱外的入射场和散射场,结合推导出的圆柱内电磁场的表达式,根据电磁场在圆柱表面上切向分量连续的边界条件分别列出TE波入射和TM波入射的矩阵方程,编制FORTRAN程序进而求得散射场表达式中的系数,最终利用贝塞尔函数的大宗量渐进展开式导出其雷达散射宽度的表达式,计算相应的数值结果,进行分析讨论。本文所得结果与现有文献比较后数值结果吻合较好,与传统方法相比较,文中提出的方法更具优势以及较高的应用价值。
[Abstract]:For the analysis of electromagnetic scattering problems of complex medium detection in modern mobile communication, radar, navigation and positioning technology, has the important significance of new antenna research and other military and civilian fields. By using the analytical method of vector wave function is one of the methods for solving electromagnetic scattering, this paper is to carry out such research methods, the research significance is analyzed by using simple electromagnetic the scattering characteristics of infinite uniform uniaxial Bi anisotropic dielectric cylinder on the plane incident wave vector wave function. The electromagnetic field can expand uniaxial bianisotropic medium cylinder is the key to solve the problem. There are four tensor eigen equation of uniaxial bianisotropic medium is studied in this paper in this. The relationship between the medium based on the differential equation by passive Maxwell equations respectively. Electric field and export to meet the demand equation using the Fu Liye transform solution, based on the Know general amplitude and angle Fourier eigen plane wave expression, the cylindrical vector wave functions, the expression for the integral equation of the cylindrical column vector wave function. Then, a two-dimensional vertical incident boundary conditions, uniaxial Bi anisotropic dielectric cylinder in free space by the polarization perpendicular to the incident plane wave is TE or TM wave, which are cylindrical the incident field and the scattered field, combined with the expressions derived in cylindrical electromagnetic field, according to the electromagnetic field in the cylindrical surface continuity of tangential boundary conditions are TE wave and TM wave incidence matrix equation, FORTRAN program to calculate the scattering coefficients in the expressions finally, using a large amount of Bessel function expressions derived the asymptotic expansion of the radar scattering width, calculate the corresponding numerical results, analyzed and discussed the results and existing. Compared with the traditional method, the proposed method has more advantages and higher application value compared with the traditional method.

【学位授予单位】：杭州电子科技大学
【学位级别】：硕士
【学位授予年份】：2015
【分类号】：TN011

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