物理与工程2025，Vol.35Issue(1)：21-24,28,5.
椭圆柱形材料中一种特殊电流系统的研究
RESEARCH ON A SPECIAL CURRENT SYSTEM IN ELLIPTICAL CYLINDRICAL MATERIALS
刘世勇 1袁晓忠 1张小灵1
作者信息
- 1. 上海交通大学物理与天文学院,上海 200240
- 折叠
摘要
Abstract
Methods of conformal mapping and electric images are two important methods for solving problems in electromagnetism.In the paper we present an application of these two methods by solving the problem of current distribution in a system of two parallel electrodes within an elliptical cylindrical material.By means of Zhukovsky transform from conformal mapping and electric image method,the Poisson equation problem is trans-formed into a Laplace equation problem with simplified boundary conditions and the ana-lytical solution is obtained.Using quantitative calculations,charge distribution on the boundary surfaces,as well as the potential and current distributions within the material are demonstrated.关键词
儒阔夫斯基变换/泊松方程/拉普拉斯方程Key words
Zhukovsky transform/Poisson equation/Laplace equation引用本文复制引用
刘世勇,袁晓忠,张小灵..椭圆柱形材料中一种特殊电流系统的研究[J].物理与工程,2025,35(1):21-24,28,5.
