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

Abstract: 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.

Key words: plane mirror method, conformal mapping method, complex shape boundary, electric field distri bution, numerical simulation