球坐标系下具有方位对称边界条件的矢量Laplace和Helmholtz方程的横截解
Transverse Solutions of the Vector Laplace and Helmholtz Equations for Spherical Coordinates and Boundary Conditions with Azimuthal Symmetry
摘要：
本文用标量场方法求解了球坐标系下具有方位对称性的矢量Laplace方程和Helmholtz方程的横向解。既不使用标量势也不使用矢量势。通过使用分离变量而不是矢量球谐函数展开的并矢格林函数得到的解决方案。应用程序的计算磁场从稳定和振荡局部电流分布。
英文摘要：
A scalar field method to obtain transverse solutions of the vector Laplace and Helmholtz equations in spherical coordinates for boundary-value problems with azimuthal symmetry is described. Neither scalar nor vector potentials are used. Solutions are obtained by use of separation of variables instead of dyadic Green's functions expanded in terms of vector spherical harmonics. Applications to the calculations of magnetic fields from steady and oscillating localized current distributions are presented.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
