本征权边界积分法解任意截面波导传输问题
SOLUTION OF ARBITRARY CROSS-SECTION WAVEGUIDE USING METHOD OF EIGEN-WEIGHTED BOUNDARY INTEGRAL EQUATION
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摘要: 本文选取本征函数作为权函数,由格林第二恒等式建立边界积分方程,并采用边界基形式得到线性齐次方程组。这种方法不仅降低了系数矩阵的维数,而且使其各项仍保持为简单一项,减少了计算量.本文提供了几种常见金属波导的例子,计算结果既收敛快、又足够准确。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.
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章文勋,电滋场工程中的泛函方法,上海科学技术文献出版社,上海,1985,第四章.[2]吴万春,文阿一,王家礼,通信学报,1986年,第2期,第53-61页.[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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