本征權(quán)邊界積分法解任意截面波導(dǎo)傳輸問題
SOLUTION OF ARBITRARY CROSS-SECTION WAVEGUIDE USING METHOD OF EIGEN-WEIGHTED BOUNDARY INTEGRAL EQUATION
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摘要: 本文選取本征函數(shù)作為權(quán)函數(shù),由格林第二恒等式建立邊界積分方程,并采用邊界基形式得到線性齊次方程組。這種方法不僅降低了系數(shù)矩陣的維數(shù),而且使其各項仍保持為簡單一項,減少了計算量.本文提供了幾種常見金屬波導(dǎo)的例子,計算結(jié)果既收斂快、又足夠準(zhǔn)確。
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關(guān)鍵詞:
- 邊界積分法; 金屬波導(dǎo); 本征值問題; 截止波數(shù)
Abstract: Based on the second kind of Green s identity, a boundary integral equation for arbitrary cross-section waveguide is transformed to a system of linear homogeneous algebraic tquations by means of expansion of boundary bases and using the eigenfuncuons of a fictitious regular boundary as weighting functions, which corresponds to less algebraic equations than BEM and simpler coefficients than the modified BEM. The numerical results for some typical metallic waverguides are given by using the method of eigen-weighted bounlary integral equation, and they are exact enough with fast convergence. -
章文勛,電滋場工程中的泛函方法,上?？茖W(xué)技術(shù)文獻出版社,上海,1985,第四章.[2]吳萬春,文阿一,王家禮,通信學(xué)報,1986年,第2期,第53-61頁.[3]S. Kagami, I. Fukai, IEEE Trans. on MTT, MTT-32 (1984), 455-461.[4]Zhang Wenxun.[J].Hong Wei, Yuan Jinyun. Proc. OFSET87, Academic Press. Beijing.1987,:-[5]Zhang Wenxun. The Methodology of Boundary Methods. IEEE Int. Sym. on AP, Syracuse, UAS, 1988, pp. 299-332. -
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