矩形线性恒定场的级数通解及其应用

Series solutions to a rectangular electrostatic field and its application

从分离变量法和S L型方程的本征值问题出发 ,推导了矩形线性恒定场通解的级数表达式 ,证明其随着边界条件类型的不同而有所不同 ,补充了现有资料的不足 ,进一步提高了有关电磁场的计算效率和精度 。

Based on the theory of the eigenvalue problem of Sturm Liouville equations and separation of variables, the general solutions to a rectangular electrostatic fields have been derived in this paper. All the general solutions are infinite series which expression will change when the corresponding types of the boundary conditions of the fields are changed. It fills the gap in the available material now and promotes the efficiency and precision of the calculation of the electrostatic field.