分离变量法是一种常用的处理轴对称磁场位型的方法.利用分离变量法甚至可以针对较为复杂的磁场位型，例如含有电流源项的磁场位型，得到较为理想的结果.本文介绍了磁场势函数与流函数的正交关系，并利用分离变量法，考虑双电流源的影响，求解了太阳日冕的无力轴对称平衡态磁场的流函数，并绘制了相应的流函数图像，表明了分离变量法求解较复杂的轴对称平衡态磁场的可行性.

The axisymmetric magnetic field configurations can usually be solved by  the variable separation method. Even for the more complex magnetic field configurations, such as the field with current source term, the variable separation method can also get satisfactory results. In this paper, we explain the orthogonal relationship between the magnetic potential function and the stream function. By using the variable separation method, we get axisymmetric magnetic field of the solar corona (with two magnetic flux ropes within the corona) in equilibrium states under the force-free condition. We numerically visualize the correspoding stream function solution. Finally, we conclude the feasibility of the variable separation method to solve the complex axisymmetric equilibrium magnetic field.