大学物理 ›› 2015, Vol. 34 ›› Issue (3): 14-14.

• 著者文摘 • 上一篇    下一篇

基于保角映射的镜像法的应用

王福谦   

  1. 长治学院电子信息与物理系,山西长治046011
  • 出版日期:2015-03-25 发布日期:2015-03-20

Application of the mirror method based on conformal mapping

  • Online:2015-03-25 Published:2015-03-20

摘要: 将镜像法与保角变换法相结合,求解复杂形状边界的二维边值问题,得出电场分布规律,并通过Matlab数据处理软件的数值计算功能进行数值模拟,绘制出其电场线与等势线(面)分布图,验证了所得结论的正确性.此方法拓展了镜像法的应用范围,为求解边界形状复杂的二维静电场的边值问题提供了一种新的思路和途径.

关键词: 镜像法, 保角变换法, 电场分布

Abstract: Two-dimensional boundary value problem of the complex shape boundary is solved by combing the mirror method with conformal mapping method,and thus the distribution of electric field is got.The electric field line and equipotential line maps are plotted by using mathematical software Matlab,the validity of the method is presented.The application range for mirror method is expanded; a novel idea and way is provided for solving the complex shape boundary in two-dimensional boundary value problem.

Key words: mirror method, conformal mapping method, electric field distribution

中图分类号: 

  • G642.0