HELMHOLTZ THEOREM AND EXPANSIONS OF EIGENFUNCTIONS OF ELECTROMAGNETIC FIELD IN RESONANT CAVITY

Song Wenmiao; Wang Jianying

Volume 11 Issue 5

Sep. 1989

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Song Wenmiao, Wang Jianying. HELMHOLTZ THEOREM AND EXPANSIONS OF EIGENFUNCTIONS OF ELECTROMAGNETIC FIELD IN RESONANT CAVITY[J]. Journal of Electronics & Information Technology, 1989, 11(5): 518-527.

Citation:

Song Wenmiao, Wang Jianying. HELMHOLTZ THEOREM AND EXPANSIONS OF EIGENFUNCTIONS OF ELECTROMAGNETIC FIELD IN RESONANT CAVITY[J]. Journal of Electronics & Information Technology, 1989, 11(5): 518-527.

Song Wenmiao, Wang Jianying. HELMHOLTZ THEOREM AND EXPANSIONS OF EIGENFUNCTIONS OF ELECTROMAGNETIC FIELD IN RESONANT CAVITY[J]. Journal of Electronics & Information Technology, 1989, 11(5): 518-527.

Citation:

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HELMHOLTZ THEOREM AND EXPANSIONS OF EIGENFUNCTIONS OF ELECTROMAGNETIC FIELD IN RESONANT CAVITY

Received Date: 1987-12-09
Rev Recd Date: 1988-04-28
Publish Date: 1989-09-19

Abstract

Abstract

The rational form of Helmholtz theorem in resonant cavity is discussed. On the basis of the theorem, it is proved that the electric irrotational field can be expanded into a convergent series on L vector wave function, and that the electric rotational field also can be expanded into a convergent series on M and N vector wave functions. So it is proved that L,M and N vector wave functions consist of a complete orthogonal basis for electric field in resonant cavity.

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References(1)

References

P. M. Morse, F. F. shback, Math of Theoretical Phys, pt. I, N. Y., McGraw Hill, 1953, pp.54-92.[2]宋文淼,微波,1986年,第3期,第23-27页.[3]J. C. Slater, Microwave Electronics, Princeton, N. J., Von Nostand, 1950.[4]林为干,微波理论与技术,科学出版社,北京,1978, pp. 457-476.[5]K.Kurokawa, An Introduction to the Theory of Microwave Circuit, N. Y., Academic Preas 1969.[6]H, A. Mendez, IEEE Trans, on MTT, MTT-18(1970), 444.[7]宋文淼,电子科学学刊, 8(1986)3, 188-195.[8]宋文淼,电子科学学刊, 8(1986)1, 8-13.[9]C. T. Tai.[J].Dyadic Greens Function in Electromagnetic Theory, Scratton, PA.1971,:-

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