Axial green function method for axisymmetric electromagnetic field computation

1D Green functions are applied to efficiently calculate the electrostatic field axisymmetric in 3D. The point of this paper is laid on the computation of the axisymmetric numerical solution which may have derivative discontinuity due to the transmission condition across the interface between different kinds of matter. A combined axial Green function method(AGM) is proposed to accurately solve this axisymmetric problem.