应用微分形式描述和分析电磁场问题  

Differential Forms with Applications to Description and Analysis of Electromagnetic Problems

作　　者：饶明忠[1] 谭邦定[1] 黄键[1] 

机构地区：[1]重庆大学电气工程系,西安交通大学电气工程系

出　　处：《中国电机工程学报》1994年第5期56-62,共7页Proceedings of the CSEE

基　　金：国家教委博士点基金

摘　　要：本文将微分形式中的外积、ｐ－形式、外微分和星算子等概念与电磁场的物理实际结合起来进行介绍，将电磁量按有物理意义的积分维数划分为０－至３－形式。用微分形式有关知识对静态电磁场和时谐电磁场的控制方程和边界条件进行了统一描述，导出了与电磁场统一边值问题相应的变分公式。Concepts of exterior products,p-forms, exterior derivatives and the star operator are introduced by associating with electromagnetics. It is pointed out that electromagnetic quantities are classified into 0-,1-, 2- or 3-forms according to domains of integrals which have cerium physical meaning. The governing equations for electrostatics, magnetostatics and time-harmonic fields are unified.The associate variational fomulation of the united govering equations is derived.

关 键 词：微分形式论 电磁场 控制方程 

分 类 号：TM153[电气工程—电工理论与新技术]