用有限差分法分析电介质静电场特性

Application of finite difference method in analyzing the electrostatic properties of dielectric

电介质内的电位分布、电场分布和极化等特性相对常规静电场问题难于理解.在介绍有限差分法求电位分布原理的基础上,导出了介质中拉普拉斯方程的有限差分形式;通过巧妙设计非均匀介质区域并运用Matlab求解,分析了电介质的静电场特性.理论分析与仿真计算结果符合较好.

It is more difficult to understand potential distribution, electric field distribution and the polarization characteristics in dielectric than conventional electrostatic field problems. This paper introduces the principle of finite difference method used in analyzing the potential distribution, and presents the calculation formula for dielectric region. Through the ingenious design and using Matlab to solve the inhomogeneous medium area, the static electric field properties of dielectric are analyzed. Theoretical analysis coincides with simulation results very well