求解電磁場(chǎng)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(chǎng)邊值問(wèn)題的新方法:把矢量波方程的邊值問(wèn)題化為對(duì)應(yīng)的標(biāo)量波方程的邊值問(wèn)題加上兩個(gè)附加的矢量微分運(yùn)算的問(wèn)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(kāi)法所能求得的各種并矢格林函數(shù)。可以求解用現(xiàn)有的方法很難求解的比較復(fù)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(xué)報(bào), 14(1986)5, 119-122.[4]宋文淼, 科學(xué)通報(bào), 31(1986)3, 232.[5]宋文淼, 電子科學(xué)學(xué)刊, 8(1986)1, 8-13.[6]宋文淼, 電子科學(xué)學(xué)刊, 8(1986)3,188-195.[7]D. C. Stinson著, 王昌曜等譯, 電磁場(chǎng)中的數(shù)學(xué), 國(guó)防工業(yè)出版社, 1982.[8]宋文淼, 電子科學(xué)學(xué)刊, 7(1985)5, 341-347.[9]張善杰, 電子學(xué)報(bào), 12(1984)1,107-112.[10]宋文淼, 電磁場(chǎng)的算子理論, (內(nèi)部報(bào)告), 中國(guó)科學(xué)院電子所第三研究室. -
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