基于矢量波函数空间算子理论的波导系统有限元分析
Finite element analysis of the waveguide system based on the operator theory of vector wave function space
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摘要: 该文介绍了一种能够消除非物理模的波导系统的有限元分析方法，从矢量波函数空间的偏微分算子理论出发，推导出具有简洁而自洽数学形式的完备的电磁波基本方程组，将电场矢量用两个标量函数表示，并用有限元法对这两个标量函数进行数值求解，从而得到了波导系统的有关参数，文中以加载膜片波导和E面矩形波导阶梯为例说明了这一分析及计算过程。
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关键词:
- 电磁波基本方程组; 波导; 有限元法
Abstract: This paper presents a finite element method for the analysis of waveguide system without spurious modes. Prom the operator theory of the vector wave function space, a succinct and complete electromagnetic wave equation set is derived and the electiic field intensity vector can be expressed by two scalar functions. These two scalar functions are numerically computed by using finite element method so that the parameters of the waveguide system can be obtained. The method is demonstrated by the calculation of the reflection coefficients of the rectangular waveguide with an inductive diaphragm and the rectangular waveguide with an E-plane step respectively. -
金建铭,电磁场有限元方法,西安,西安电子科技大学出版社,1998,第5章.[2]J.A.M.svedin,A numerically efficient finite-element formulation for the general waveguide problem without spurious modes,IEEE Trans.on MTT,1989,MTT-37(11),1708-1715.[3]宋文淼,现代电磁场理论的数学基础-矢量偏微分算子,北京,科学出版社,1999,第5章.[4]宋文淼,并矢格林函数和电磁场的算子理论,合肥,中国科技大学出版社,1991,第6章.[5]徐诚,宋文淼,王颖,邢锋,关于电磁波基本方程组的探讨,第七届全国电波传播学术年会论文集,合肥,2001,110-108.[6]蛾振铎,鲁述,电磁场理论中的并矢格林函数,武汉,武汉大学出版社,1995,第3章. -
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