谐振腔中的亥姆霍兹定理及电磁场的本征函数展开问题
HELMHOLTZ THEOREM AND EXPANSIONS OF EIGENFUNCTIONS OF ELECTROMAGNETIC FIELD IN RESONANT CAVITY
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摘要: 本文讨论了谐振腔中亥姆霍兹定理的合理形式,即谐振腔内的电场怎样分解为相互正交的电旋量场和电无旋场的形式。并由此证明:电无旋场可在L类矢量波函数上展开成一收敛的级数,而旋量场可在M和N类矢量波函数上层开成一收敛的级数。这样也就证明了L,M和N类矢量波函数,对谐振腔内的电场组成了一个完备的正交基。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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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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