諧振腔中的亥姆霍茲定理及電磁場(chǎng)的本征函數(shù)展開(kāi)問(wèn)題
HELMHOLTZ THEOREM AND EXPANSIONS OF EIGENFUNCTIONS OF ELECTROMAGNETIC FIELD IN RESONANT CAVITY
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摘要: 本文討論了諧振腔中亥姆霍茲定理的合理形式,即諧振腔內(nèi)的電場(chǎng)怎樣分解為相互正交的電旋量場(chǎng)和電無(wú)旋場(chǎng)的形式。并由此證明:電無(wú)旋場(chǎng)可在L類矢量波函數(shù)上展開(kāi)成一收斂的級(jí)數(shù),而旋量場(chǎng)可在M和N類矢量波函數(shù)上層開(kāi)成一收斂的級(jí)數(shù)。這樣也就證明了L,M和N類矢量波函數(shù),對(duì)諧振腔內(nèi)的電場(chǎng)組成了一個(gè)完備的正交基。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頁(yè).[3]J. C. Slater, Microwave Electronics, Princeton, N. J., Von Nostand, 1950.[4]林為干,微波理論與技術(shù),科學(xué)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,電子科學(xué)學(xué)刊, 8(1986)3, 188-195.[8]宋文淼,電子科學(xué)學(xué)刊, 8(1986)1, 8-13.[9]C. T. Tai.[J].Dyadic Greens Function in Electromagnetic Theory, Scratton, PA.1971,:- -
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