摘要:
本文是作者研究圓形波導有源區(qū)域并矢格林函數(shù)(DGF)的計算及其普遍性質的第Ⅰ部分,文中建立了有源區(qū)域DGF并矢運算的分布理論法,導出了圓形波導DGF并矢運算的完整表示式,糾正了文獻中存在的一些錯誤和模糊之處。 本文的結論與基斯留克(Kisliuk)(1980,1983)的結論不同,它表明DGF的無散矢量本征函數(shù)展開式和無旋矢量本征函數(shù)展開式在有源區(qū)域不再是純的無散和無旋場。此外,我們還指出戴(Tai,1973)通過互換并矢算子和有源區(qū)域DGF展開式中的積分號來進行并關運算是不恰當?shù)摹?/div>
Abstract:
This is the first part of our work on the dyadic Green s functions (DGF) at the souree region in circular waveguides. In this paper, a systematic and nevel approach is developed for the dyadic operation of DGF. The complete farms of the dyadie operation of DGF for circular waveguides are given. Ambiguities associated with the dyadic operation in the literature are clarified and the errors are redressed.Contrary to Kisliuk (1980, 1983), it is shown that the expansion of the longitudinal vector eigenfunctions L and the expansion ofthe transverse vector eigenfunctions M and N are not purely lognitudinal and transverse fields at the source region. In addition, it is also shown that the interchanging differential and integral operators to carry out the dyadic operation of DGF is invalid at the source region (Tai, 1973).
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