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并矢Green函数的构造
Construction of Dyadic Green’s Functions
【摘要】 提出并矢Green函数应与δ函数一道作为奇性广义函数(即分布),它们在r’≈r处没有常义定义。应当看作某些正则广义函数在泛函等值意义上的极限。正确理解并矢Green函数的意义,根本不出现发散积分,应当可以按常规数学原则来处理。具体讨论了自由空间和均匀波导内的并矢Green函数,得到了判断“正则化”是否合理的准则。
【Abstract】 It is advanced that the Dyadic Green’s functions should be considered as singulargeneralized functions (distributions) together with the δ function. There are no normal definitionsof them in the rigion of They should be considered as the limits of some normal generalizedfunctions in the sense of equivalence of functional’s values. Under the proper understanding of themeanings of Dyadic Green’s functions, the divergent integrals do not appear at all. They should betreated according to the normal rules of mathematics. The Dyadic Green’s functiorns in the freespace and inner space of waveguide are discussed concretely and the judgement rules of rationalityof the normalization process is obtained.
【Key words】 Dyadic Green’s functions; Generalized functions; Limits of functionals;
- 【文献出处】 电波科学学报 ,CHINESE JOURNAL OF RADIO SCIENCE , 编辑部邮箱 ,1997年02期
- 【分类号】O241.5
- 【被引频次】9
- 【下载频次】119