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时变电磁场唯一性定理的完整表述
New Statement of Uniqueness Theorem for Time-Varying Electromagnetic Field
【摘要】 以往表述的时变电磁场唯一性定理不适用于由多个媒质所组成的场域,而且不能利用此定理写出电磁场初边值问题的完整表达式。针对以上问题,本文把场论中的“高斯公式”应用于多媒质区域,导出了“多区域高斯公式”;在此基础上,完整地表述和证明了“时变电磁场唯一性定理”,明确了边界条件的使用方法和解的唯一性条件。
【Abstract】 Old uniqueness theorem of time-varying electromagnetic field has no application to multhaedi um region and from this theorem. integrated expressions of initial-boundary value problem for electromagnetic field aren’t whied out. In.this paper, "Gauss formula of multimedium region" is presented by way of applying "Gauss folmula" in theory of fields to multimedium region. From this, new uniqueness theorem of time-very ing electromagnetic field is stated and proved, both applied method of boundary conditions and uniqueness conditions of the solution are made clear.
【Key words】 Uniqueness theorem Time - valying electromagnetic field Boundary - value problem Initial - value problem;
- 【文献出处】 电工技术学报 ,TRANSACTIONS OF CHINA ELECTROTECHNICAL SOCIETY , 编辑部邮箱 ,2000年01期
- 【分类号】O441
- 【被引频次】12
- 【下载频次】679