标准和非标准柱矢量波函数及其转换关系
NORMAL AND ABNORMAL CYLINDRICAL VECTOR WAVE FUNCTIONS AND SOME IMPORTANT CONVERSION RELATIONS
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摘要: 本文定义并构造了柱矢量波函数,导出标准和非标准柱矢量波函数的转换关系式。具体讨论了圆柱、椭圆柱和抛物柱系统中的标准和非标准矢量波函数及其转换关系式,其中圆柱坐标系统中的结果与作者1984年的结果完全一致。Abstract: In this paper, the normal and abnormal cylindrical vector wave functions are constructed and their conversion relations are found out. Furthermore, thte normal and abnormal vector wave functions and their conversion relations in circular, elliptic and parabolic cylindrical coordinate systems are discussed in detail, where the result in circular cylindrical coordinate system is the same as that given by Zhou Xuesong (1984).
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周学松,中国科学,(A辑),1984年,第9期,第841-849页.[2]周学松,电子学报,1984年,第6期,第16-23页.[3]P. M. Morse, H. Feshbach, Methods of Theoretical Physics, McGraw-Hill Book Company, New York, (1953).Vol. 2, pp. 1723-1755.[4]J. A. Stratton, Electromagnetic Theory, McGraw-Hill Book Company, New York, (1941), pp. 364-374.[5]林为干,微波理论与技术,科学出版社,北京,(1979),第89-96页.[6]王竹溪,郭敦仁,特殊函数概论,科学出版社,北京,(1978),第680-719页.[7]C. T. Tai, Dyadic Greens Functions in Electromagnetic Theory, Intext Educational Publishers, Scranton,pp. 112-119.[8]P. Moon, D. E. Speneer, Field Theory Handbook, McGraw-Hill Book Company, New York, (1961), pp.110-112.[9]A. Erdlyi, Higher Transcendential Functions, MaGraw-Hill Book Company, New Vork. (1953), Vol. 2,pp. 45-81. -
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