標(biāo)準(zhǔn)和非標(biāo)準(zhǔn)柱矢量波函數(shù)及其轉(zhuǎn)換關(guān)系
NORMAL AND ABNORMAL CYLINDRICAL VECTOR WAVE FUNCTIONS AND SOME IMPORTANT CONVERSION RELATIONS
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摘要: 本文定義并構(gòu)造了柱矢量波函數(shù),導(dǎo)出標(biāo)準(zhǔn)和非標(biāo)準(zhǔn)柱矢量波函數(shù)的轉(zhuǎn)換關(guān)系式。具體討論了圓柱、橢圓柱和拋物柱系統(tǒng)中的標(biāo)準(zhǔn)和非標(biāo)準(zhǔn)矢量波函數(shù)及其轉(zhuǎn)換關(guān)系式,其中圓柱坐標(biāo)系統(tǒng)中的結(jié)果與作者1984年的結(jié)果完全一致。
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關(guān)鍵詞:
- 柱函數(shù); 生成函數(shù); 領(lǐng)示矢量; 矢量波函數(shù)
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). -
周學(xué)松,中國(guó)科學(xué),(A輯),1984年,第9期,第841-849頁(yè).[2]周學(xué)松,電子學(xué)報(bào),1984年,第6期,第16-23頁(yè).[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]林為干,微波理論與技術(shù),科學(xué)出版社,北京,(1979),第89-96頁(yè).[6]王竹溪,郭敦仁,特殊函數(shù)概論,科學(xué)出版社,北京,(1978),第680-719頁(yè).[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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