摘要
在电磁场理论中,关于静电场边值问题的求解是重要而基本的。关于静电场边值问题的求解,在一般情况下可归结为在给定边界条件下求解场方程的问题,唯一性定理是求解静电场边值问题的理论基础。在电磁场相关课程中,静电场边值问题的求解都是教学中的重点和难点,但是作为判断场解正确性和唯一性的唯一性定理却经常被忽视。针对静电场边值问题的几种典型解法,以典型习题为例,深入分析了在各种解法中唯一性定理的应用及其重要意义,说明了在静电场边值问题中应用唯一性定理解题的思路和技巧。结合教学实践,指出了加强唯一性定理教学对于静态场教学的重要性,给出了关于唯一性定理教学的具体建议。
The solution of the boundary value problem for electrostatic field is important and essential in the electromagnetic field theory. Normally,the solution comes down to the problem of solving the field equations based on the given borderline condition. Moreover,the uniqueness theorem is the theoretical basis for solving the boundary value problem of the electrostatic field. In the interrelated courses of electromagnetic field,the solution of the boundary value problem in electrostatic field is the key and difficult point for teaching. But the uniqueness theory,which is used to judge the correctness and uniqueness of the solution,is often ignored. This paper is aimed at several typical solutions of the boundary value problem in electrostatic field,for example,the application and significant meaning of the uniqueness theorem are analyzed in various solutions of typical exercises. Moreover,this article intends to explain the solution ideal and techniques for applying the uniqueness theorem in the boundary value problem of the electrostatic field. Based on the teaching practice, it points out the importance of uniqueness theorem in static field teaching,and gives some specific suggestions for the teaching of uniqueness theorem.
作者
郑伟
高天附
ZHENG Wei GAO Tianfu(College of Physical Science and Technology, Shenyang Normal University, Shenyang 110034, China)
出处
《沈阳师范大学学报（自然科学版）》
CAS
2017年第3期370-373,共4页
Journal of Shenyang Normal University:Natural Science Edition
基金
辽宁省教育厅科学研究一般项目(L2014442)
关键词
唯一性定理
静电场
边值问题
uniqueness theorem
electrostatic field
boundary value problem
