求解电磁场并矢格林函数的新方法
A NEW METHOD FOR SOLVING DYADIC GREEN S FUNCTION OF ELECTROMAGNETIC FIELD
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摘要: 本文提出了求解电磁场边值问题的新方法:把矢量波方程的边值问题化为对应的标量波方程的边值问题加上两个附加的矢量微分运算的问题。用这种方法可以很方便地求解所有现在用并矢格林函数的本征展开法所能求得的各种并矢格林函数。可以求解用现有的方法很难求解的比较复杂系统的并矢格林函数。文中给出了加载的谐振腔的并矢格林函数就是其中的一例。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, 电子学报, 14(1986)5, 119-122.[4]宋文淼, 科学通报, 31(1986)3, 232.[5]宋文淼, 电子科学学刊, 8(1986)1, 8-13.[6]宋文淼, 电子科学学刊, 8(1986)3,188-195.[7]D. C. Stinson著, 王昌曜等译, 电磁场中的数学, 国防工业出版社, 1982.[8]宋文淼, 电子科学学刊, 7(1985)5, 341-347.[9]张善杰, 电子学报, 12(1984)1,107-112.[10]宋文淼, 电磁场的算子理论, (内部报告), 中国科学院电子所第三研究室. -
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