典型电磁波束的散射特性研究
发布时间:2018-05-16 08:05
本文选题:电磁散射 + 球矢量波函数 ; 参考:《安徽大学》2017年硕士论文
【摘要】:本文以旋转椭球和有限长圆柱形散射体为例深入研究了通常介质和手征媒质对典型电磁波束的散射特性,其中所选用的典型电磁波束包括高斯波束、零阶贝塞尔波束和电偶极子辐射场。主要工作及科研成果如下:1.详细介绍了解析法和半解析方法中得到广泛应用的广义Lorenz-Mie理论(GLMT)和扩展边界条件法(EBCM),作为验证本文方法正确性的对照标准。2.把散射场和介质散射体内部的场用球矢量波函数展开,然后应用电磁场边界条件并遵循矩量法的一般理论步骤选取适当的检验函数,推导出求解电磁波束散射场展开系数的线性方程组,进而求出展开系数和散射场。运用Matlab编程计算旋转椭球和有限长圆柱形介质散射体对高斯波束、零阶贝塞尔波束和电偶极子辐射场的归一化微分散射截面等。3.同样基于各部分场用球矢量波函数展开和矩量法的一般理论步骤,研究了手征体对典型电磁波束包括高斯波束、零阶贝塞尔波束和电偶极子辐射场的散射,并对散射特性进行了简要讨论。
[Abstract]:In this paper, the scattering characteristics of typical electromagnetic beam by ordinary medium and chiral medium are studied by taking rotating ellipsoid and finite cylindrical scattering body as examples. The typical electromagnetic beam selected includes Gao Si beam. Zero order Bezier beam and electric dipole radiation field. The main work and research results are as follows: 1. The generalized Lorenz-Mie theory and extended boundary condition method, which are widely used in analytic and semi-analytical methods, are introduced in detail. The field inside the scattering field and the medium scattering body is expanded with the sphere vector wave function, and then the proper test function is selected by applying the electromagnetic field boundary conditions and following the general theoretical steps of the method of moments. The system of linear equations for solving the expansion coefficient of electromagnetic beam scattering field is derived, and the expansion coefficient and scattering field are obtained. The normalized differential scattering cross sections of Gao Si beam, zero order Bessel beam and electric dipole radiation field are calculated by Matlab programming. Also based on the general theoretical steps of the spherical vector wave function expansion and the method of moments, the scattering of typical electromagnetic beams including Gao Si beam, zero order Bezier beam and electric dipole radiation field by chiral bodies is studied. The scattering characteristics are briefly discussed.
【学位授予单位】:安徽大学
【学位级别】:硕士
【学位授予年份】:2017
【分类号】:TN011
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