A CRITICAL STUDY ON DGF AT THE SOURCE REGION IN CIRCULAR WAVEGUIDES (Ⅰ)

Pan Shenggen

Volume 8 Issue 1

Jan. 1986

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Pan Shenggen . A CRITICAL STUDY ON DGF AT THE SOURCE REGION IN CIRCULAR WAVEGUIDES (Ⅰ)[J]. Journal of Electronics & Information Technology, 1986, 8(1): 14-22.

Citation:

Pan Shenggen . A CRITICAL STUDY ON DGF AT THE SOURCE REGION IN CIRCULAR WAVEGUIDES (Ⅰ)[J]. Journal of Electronics & Information Technology, 1986, 8(1): 14-22.

Pan Shenggen . A CRITICAL STUDY ON DGF AT THE SOURCE REGION IN CIRCULAR WAVEGUIDES (Ⅰ)[J]. Journal of Electronics & Information Technology, 1986, 8(1): 14-22.

Citation:

Pan Shenggen . A CRITICAL STUDY ON DGF AT THE SOURCE REGION IN CIRCULAR WAVEGUIDES (Ⅰ)[J]. Journal of Electronics & Information Technology, 1986, 8(1): 14-22.

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A CRITICAL STUDY ON DGF AT THE SOURCE REGION IN CIRCULAR WAVEGUIDES (Ⅰ)

Pan Shenggen

Received Date: 1984-05-21
Rev Recd Date: 1985-08-19
Publish Date: 1986-01-19

Abstract

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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References(1)

References

C. T. Tai, Proc. IEEE,61(1973), 480.[2]C. T. Tai. Math. Note 28, Weapons Systems Laboratory,Kirtland,[3]Alb. NM, July 1973.[4]M. Kisliuk, Int. J. Electronics, 54(1983), 349.[5]M. Kisliuk, IEEE Trans. on MTT, MTT-28(1980), 894.[6]Y. Rahmat-Samii, ibid, MTT-23(1975), 762.[7]霍美瑜,科学通报,6(1981), 686.[8]范俊清,光学学报,1(1980), 357.[9]潘生根,电子科学学刊,6(1984), 181.[10]潘生根,电子科学学刊,7(1985), 171.[11]V. S. Vladimirow, Generalized Functions in Mathematical Physics, Mir Publishers, p. 31. [11] 郭敦仁,数学物理方法,人民教育出版社,1965,第102页.

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