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基于MATLAB软件的电磁场的可视化研究

摘要

电磁场理论是一门研究电磁现象的科学，而同时电磁场又具有抽象，不好描述等特点，为了能让电磁场能够被更好地研究，就必须使其可视化，让其能够直观的展现。MATLAB软件对于研究电磁场可视化能起到非常大的帮助，对于电磁场研究也有很重要的意义。

本文主要采用MATLAB软件的两种方法来实现电磁场的可视化，其中一用编程M语言的方式实现电偶极子的电磁场可视化，二是利用MATLAB软件的PDE工具来实现电机内部磁场的可视化仿真，PDE工具本身就具有解决复杂偏微分方程的功能，而且有各种应用模式，只要你选择电磁场应用模式，就可以用来解决电磁场问题。MATLAB提供的图形用户界面(GUI)的偏微分方程数值求解工具主要有菜单和工具栏两部分，可以交互式地实现偏微分方程数学模型的几何模型建立，边界条件设定，三角形网格剖分和加密，偏微分方程类型设置，参数给定，方程求解和结果图形展示，利用此工具就能直观，快速，准确，形象的实现偏微分方程的数值求解，从而实现电磁场的可视化。

本文还间接描述了电磁场问题的计算方法，比如解析法，数值法，数值计算中的有限差分法和有限单元法以及其中所用到的一些公式，还有MATLAB在电磁场问题研究的重要性。

关键词：电磁场；MATLAB；PDE；电偶极子；电机；可视化

Research on visualization of electromagnetic field based on MATLAB software

ABSTRACT

Electromagnetic field theory is the study of electromagnetic phenomena in science, electromagnetic field and abstract at the same time, which describes the characteristics, in order to study on the electromagnetic field can be better, it is necessary to visualization makes it to a Visual display. MATLAB software for studying electromagnetic field visualization can play a very big role, electromagnetic research has a very important meaning.

This main used MATLAB software of two species method to achieved electric magnetic field Visualization，which a with programming m language of way achieved electric even very child of electric magnetic field Visualization, the other one is using MATLAB software of PDE tools to achieved motor internal magnetic field of Visual of simulation, PDE tools itself has solution complex partial on differential equation of features, and has various application mode, as long as you select electromagnetic field application mode, which can used to solution electric magnetic field problem. MATLAB provides of graphics user interface (GUI) of partial differential equation numerical solution tools main has menu and tools bar two part, can interactive to achieved partial differential equation mathematics model of geometry model established, border conditions set, triangle network cells profil