基于矢量波函數(shù)空間算子理論的波導(dǎo)系統(tǒng)有限元分析
Finite element analysis of the waveguide system based on the operator theory of vector wave function space
-
摘要: 該文介紹了一種能夠消除非物理模的波導(dǎo)系統(tǒng)的有限元分析方法，從矢量波函數(shù)空間的偏微分算子理論出發(fā)，推導(dǎo)出具有簡潔而自洽數(shù)學(xué)形式的完備的電磁波基本方程組，將電場矢量用兩個標(biāo)量函數(shù)表示，并用有限元法對這兩個標(biāo)量函數(shù)進(jìn)行數(shù)值求解，從而得到了波導(dǎo)系統(tǒng)的有關(guān)參數(shù)，文中以加載膜片波導(dǎo)和E面矩形波導(dǎo)階梯為例說明了這一分析及計算過程。
-
關(guān)鍵詞:
- 電磁波基本方程組; 波導(dǎo); 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. -
金建銘,電磁場有限元方法,西安,西安電子科技大學(xué)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,現(xiàn)代電磁場理論的數(shù)學(xué)基礎(chǔ)-矢量偏微分算子,北京,科學(xué)出版社,1999,第5章.[4]宋文淼,并矢格林函數(shù)和電磁場的算子理論,合肥,中國科技大學(xué)出版社,1991,第6章.[5]徐誠,宋文淼,王穎,邢鋒,關(guān)于電磁波基本方程組的探討,第七屆全國電波傳播學(xué)術(shù)年會論文集,合肥,2001,110-108.[6]蛾振鐸,魯述,電磁場理論中的并矢格林函數(shù),武漢,武漢大學(xué)出版社,1995,第3章. -
計量
- 文章訪問數(shù): 2475
- HTML全文瀏覽量: 107
- PDF下載量: 703
- 被引次數(shù): 0
下載:
