Abstract: The two-dimensional static magnetic field boundary value problem of the complex shape boundary is solved by combing the magnetic mirror method and eonformal mapping method. Meanwhile, the distribution of mag- netic field is got. The magnetic induce line maps are plotted by using mathematical software MATLAB, thus the validity of the method in the paper is presented. The application range for magnetic mirror method is expanded, and a novel idea and way is provided for solving the complex shape boundary two-dimensional boundary value problem.

Key words: conformal mapping, magnetic mirror method, magnetic vector potential, numerical simulation, magnetic induced line