| 1. | Vector wave equation
矢量波方程 |
| 2. | Harmonic vector wave
谐和矢量波 |
| 3. | Vector wave function
矢量波函数 |
| 4. | The variational problem related to the coupled vector wave equations and boundary conditions of circular dielectric waveguide with arbitrary refractive index profile is solved using the finite element method ( fem )
应用有限元方法求解了任意径向非均匀折射率分布圆柱对称介质波导中纵向场耦合波动方程定解问题所对应的变分问题，该方法不受弱导或高斯模场分布等限制。 |
| 5. | By applying the boundary conditions and the orthogonality of spherical vector wave functions , an adequate number of relations between the unknown coefficients is generated . from all these discussions , the scattered fields and normalized scattering cross sections are computed
通过以上讨论，即可建立起足够多的决定各展开系数的方程，求出散射场系数，进而求出散射场及散射截面。 |
| 6. | Based on the semi - vector wave equation under cylindrical coordinate system , the mode distribution and complex propagation constant in bent waveguides were computed by a finite difference method with perfectly matched layer ( pml ) boundary condition
摘要以柱坐标下的半矢量波动方程为基础，采用基于完美匹配层( pml )边界条件的有限差分方法，对弯曲波导进行模式求解，进而得到波导弯曲引起的辐射损耗。 |
| 7. | Secondly , the electromagnetic fields between the inner and outer boundaries are expressed in terms of infinite series with spherical vector wave functions using the relations between the spheroidal vector wave functions and spherical ones
然后根据椭球矢量波函数与球矢量波函数的关系，把两层椭球之间的电磁场表示为球矢量波函数的级数形式，由球矢量波函数的正交性，进一步建立各展开系数之间的关系。 |
| 8. | The general form of dyadic green ' s function of non - divergence electromagnetic field in chiral media was deduced by moment method , and the expression forms of the m and n vector wave functions for dyadic green ' s function of non - divergence electromagnetic field was also presented
摘要应用矩量法导出了旋波媒质中无散电磁场并矢格林函数的普遍形式，然后给出无散电磁场并矢格林函数的m和n类矢量波函数的表示形式。 |
| 9. | This thesis in theory deals with electromagnetic wave scattering by multilayered confocal and non - confocal spheroidal particles illuminated by gaussian beams , in which the main contributions are as follows : 1 . in the case of multilayered confocal spheroidal particles , the scattered fields as well as the fields within each layer are obtained in terms of infinite series with spheroidal vector wave functions by using an appropriate expansion of the incident gaussian beam . by virtue of the boundary conditions , we write the set of equations for determining the unknown expansion coefficients and then solve it
本文从理论上研究了多层共焦和非共焦椭球粒子对高斯波束的散射，主要成果如下： 1 .我们研究了多层共焦椭球粒子对高斯波束的散射，把入射高斯光，散射场，各层椭球内的电场和磁场用适当的椭球矢量波函数展开，应用电磁场边界条件，写出确定各展开系数的方程组，求出散射场系数，进而求出散射场及散射截面。 |
| 10. | 2 . we present a solution to the scattering of gaussian beams by a concentric multilayered non - confocal spheroidal particle by taking a concentric two - layered one as an example . because the boundaries of these two layers are connected with two different spheroidal coordinate systems , firstly , the electromagnetic fields between the inner and outer boundaries are expanded in terms of the spheroidal vector wave functions with reference to these two systems , and the electromagnetic fields within the inner boundary with reference to the system for it
2 .以双层椭球为例，我们提出了一种研究同心非共焦多层椭球粒子散射的方法，首先把两层椭球之间的电磁场用对应于两个椭球坐标系的椭球矢量波函数展开，这两个椭球坐标系分别与两层椭球的边界面相联系，在每层椭球边界面上分别应用边界条件，建立关于各展开系数的方程组。 |
