球谐函数的 meaning in English
spherical harmonic
Examples
- In this paper , the transitional method of the spherical har monics is applied and a new model is gained . the parameters of the new model are geocentric radius , range cross - deviation and polar is decided by different trajectories
本文对球谐函数的改进主要是采用了换极法，根据不同的弹道重新选择极点，将球谐函数变换为以地心距、射程角、侧向偏差为参数的新的形式。 - Based on the extended boundary condition method and addition theorem of vector spherical functions , this paper study the light scattering problems of aggregate spheres from the angles of a single sphere , two - sphere system and multi - spheres system
本文基于扩展边界条件法及矢量球谐函数的加法定理，通过严格求解maxwell方程所得到的散射传输矩阵，对与入射波波长可比拟的群聚球形粒子的散射问题进行了研究。 - Firstly , in spherical coordinate system , the sovp formulation for the time - harmonic electromagnetic fields of the current dipole in conductive infinite - space is derived , using reciprocity theorem and transforming relations between special functions . then , selecting appropriate coordinate system , using superposition principle , the boundary - value problem of modified magnetic vector potential on the problem of a time - harmonic current dipole in spherical conductor is solved and analytical solution is obtained . finally , by means of the addition formulas of legendre polynomial and spherical harmonics function of degree n and order 1 , the analytical solution in spherical coordinate system specially located is transformed into that in spherical coordinate system arbitrarily located
首先利用特殊函数间的转化关系和互易定理推导得到了无限大导体空间中球坐标下时谐电流元电磁场的二阶矢量位形式：然后利用叠加原理，选择合适坐标系，求解了导体球中时谐电流元的修正磁矢量位边值问题，得到了问题的解析解；最后依据不同坐标系下电磁场解的转化原理，借助勒让德多项式和n次1阶球谐函数的加法公式，将坐标系特殊安放时的电磁场解析解变换到坐标系一般安放时的解析解，给出了球内电场和球外磁场的并矢格林函数。 - The addition formula of spherical harmonics function of degree n and order 1 is derived using the relations between coordinate varieties after coordinate rotating and the property of the associated legendre polynomial . the relations among the magnetic vector potential , the modified magnetic vector potential and the second - order vector potential ( sovp ) are shown going forward one by one . it is explained that the solutions of electromagnetic fields in different coordinate systems can be transformed and an example having analytical solution is given
利用坐标旋转后球坐标变量间的关系和连带勒让德多项式的性质推导得到了n次1阶球谐函数的加法公式；以递进的方式说明磁矢量位、修正磁矢量位与二阶矢量位的关系，写出了引入二阶矢量位的过程；以时谐场矢量边值问题为例，阐明了不同坐标系下电磁场解的相互转化原理，给出了一个解析解的转化例子；在球坐标下，引入了较球矢量波函数更普遍的两类矢量函数，给出了其在球面上的正交关系。