异型电容器电场强度分布仿真模拟  

Simulation on the Distribution of Special-shape Capacitors' Electric Field Intensity

作　　者：谭铭[1] 徐复宁[2] 王慧[3] 

机构地区：[1]电子科技大学微电子与固体电子学院,四川成都610054 [2]电子科技大学信息与软件,四川成都610054 [3]电子科技大学物理电子学院,四川成都610054

出　　处：《实验室研究与探索》2013年第11期110-112,共3页Research and Exploration In Laboratory

摘　　要：通常,想要得到电容器内部电场与电位的分布,需要求解麦克斯韦(Maxwell)方程组[1]。然而,对于异型电容器,即并不是简单形状的电容器,通过电场的基本公式,或者是麦克斯韦方程组直接得出电容器的电位电场分布十分困难。拉普拉斯方程的解析解在许多情况下难以得到,但是可以使用计算机来求解。本文以矩形中空电容器,内圆柱中空电容器为例,提出通过有限差分法来计算异型电容器中的电场强度分布,为研究异型电容器的电场分布模拟提供了一种简便的算法。Generally, if we want to get the distribution of electric field and potential in capacitors, we shall solw~ Maxwell.~ equations. But when we are faced with special-shape capacitors, which are not the simple examples, their Maxwell.~ equations are difficuh to be solved. And then, we try to use Lapalace equation and its boundary conditions. Although its analytical solution is also not easy to get, we ean always solve it hy using compulers. So we apply finite- difference method in these cases. With examples of rectangular capacitors, to show an easy way in ealeulation of electric field and potential in abnormal shape capacitor.

关 键 词：异型电容器 有限差分法 电场模拟 电场强度 

分 类 号：O4-39[理学—物理]