The state analytical solution of global atmospheric electricity model on the charging of thunderstorms in lower atmosphere
考虑雷暴活动的全球近地稳态大气电场的精确数学解

Global atmospheric electricity model is the circuit between atmosphere and surface. In lower atmosphere, the main sources of electric current within the model are thunderstorms, which are considered as vertical electric dipoles. Based on the current continuity equation, using spherical harmonic function expansion, where lower boundary condition is the surface atmospheric electric potential, upper boundary condition is the electric potential of the bottom of the ionosphere, and non-homogeneous current source function of the vertical dipole assumptions is used for the charging of thunderstorms, the state analytical solution of global atmospheric electricity model in lower atmosphere is gotten. The solution is proved that it can be written as the sum of limited polynomial series. The conclusions are consistent with the past theoretical analysis and experimental observation. It is an improvement of previous approximate solution, and the formula in this article can be used in numerical calculation and simulation of atmospheric electric parameters in the future.