静态场位函数可视化的研究

Research of Visualization of Potential Function About Static Field

本文以静态场位函数为研究对象,借助于计算机工具,从数学建模,Matlab程序设计,PDE Toolbox工具箱求解,实现了电偶极子、均匀带电圆环、Lapace方程、同轴电缆位函数的数值计算和图形可视化,将静态场的抽象问题以及偏微分方程的解用直观图形展示出来,从而解决了电磁场中公式复杂、冗长、繁琐的解析运算问题。

In this paper, take the potential function of static field as the object of study, with the aid in the computer tool, from mathematics modelling, the Matlab programming, PDE the Toolbox solved, has realized numerical calculus and the graph visualization of potential function of the electric dipole, uniformly charged ring, the Lapace equation, the coaxial cable, the abstract question of static field as well as Solution of partial differential equations is display by using an intuitive graphical ,thus has solved the analysis computing question of the formula complex, long, the tedious in the electromagnetic field.