求解電磁場并矢格林函數(shù)的新方法
A NEW METHOD FOR SOLVING DYADIC GREEN S FUNCTION OF ELECTROMAGNETIC FIELD
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摘要: 本文提出了求解電磁場邊值問題的新方法:把矢量波方程的邊值問題化為對應的標量波方程的邊值問題加上兩個附加的矢量微分運算的問題。用這種方法可以很方便地求解所有現(xiàn)在用并矢格林函數(shù)的本征展開法所能求得的各種并矢格林函數(shù)?？梢郧蠼庥矛F(xiàn)有的方法很難求解的比較復雜系統(tǒng)的并矢格林函數(shù)。文中給出了加載的諧振腔的并矢格林函數(shù)就是其中的一例。Abstract: A new method for solving electromagnetic field boundary value problem is given. By using this method, the boundary value problem of vector wave equation can be transformed Into two independent boundary value problems of scalar wave equations and other two additional vector differentia! operations. All the dyadic Green s functions got by eigenfunction expansion of dyadic Green s functions can be got by this method easily and some of the dyadic Green s functions for complex system which are very difficult to get by ordinary method have been got by this new method. The dyadic Green's function for a dielectric loaded cavity is one of the given examples.
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C. T. Tai, Dyadic Greens Function in Electromagnetic Theory, Scratton, PA. (1971).[2]C. T. Tai, Eigenfunction Expanssion of Dyadic Greens Functions,Math.Note 28, Albuquerque NM. July 1973.[3]宋文淼, 電子學報, 14(1986)5, 119-122.[4]宋文淼, 科學通報, 31(1986)3, 232.[5]宋文淼, 電子科學學刊, 8(1986)1, 8-13.[6]宋文淼, 電子科學學刊, 8(1986)3,188-195.[7]D. C. Stinson著, 王昌曜等譯, 電磁場中的數(shù)學, 國防工業(yè)出版社, 1982.[8]宋文淼, 電子科學學刊, 7(1985)5, 341-347.[9]張善杰, 電子學報, 12(1984)1,107-112.[10]宋文淼, 電磁場的算子理論, (內(nèi)部報告), 中國科學院電子所第三研究室. -
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