摘要
镜像法是"电磁场"课程中利用矢量场唯一性定理获得解析解的基本方法,平面镜像和球面镜像是独立的,它们之间的相互联系并没有深入讨论。本文通过空间球面对称变换将平面镜像与球面镜像联系在一起,可以通过平面镜像获得球面镜像的结果,理论研究揭示了两者的内在相关性,简化了圆球面镜像问题的求解,有助于深入理解"电磁场"课程中镜像法的内容。
Mirror image is significantly analytical method based on uniqueness theorem of vector fields. Infinite plane and sphere of grounded conductor are two main types of mirror image of Electromagnetic Field course. How- ever, theoretical analysis of them is independent without further investigation. The tie to connect them is built up by using spherical inversion transformation for both spatial dimensions and quantities of electric charges in this paper. The proposed transformation guided a new method to solve spherical mirror image problems and trinsic nature between them and helped students to deeply understand the content of mirror image Field course. discovered the in- of Electromagnetic
出处
《电气电子教学学报》
2015年第6期17-20,共4页
Journal of Electrical and Electronic Education
关键词
静电场
圆球面对称变换
镜像
接地导体
electrostatic field
spherical inversion transformation
mirror image
grounded conductor
