求解二维静电场边值问题的一种方法  

A kind of method of solving two - dimensional electrostatic courtside value

作　　者：王福谦[1] 

机构地区：[1]长治学院电子信息与物理系,山西长治046011

出　　处：《大学物理》2013年第10期24-26,44,共4页College Physics

基　　金：山西省自然科学基金(2012011028-1)资助

摘　　要：将平面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.By means of the plane mirror method combining with the conformal mapping method,two-dimensional boundary value problem with complex shape boundary is solved,the distribution of electric field is obtained,the electric field line and equipotential line maps are plotted by using mathematical software Matlab,as well as the correctness of the conclusion is verified.The application range of mirror image method for solving two-dimensional electrostatic field of boundary value problems with complex boundary shape is expanded,and a new way is provide for solving two-dimensional boundary value problem with complex shape boundary.

关 键 词：平面镜像法 保角变换法 复杂形状边界 电场分布 数值模拟 

分 类 号：O642.0[理学—物理化学]