并矢格林函数是解电磁场问题的有力工具之一,它被提出来已有四十多年历史了,已有许多著作发表出来。而且通过争论使问题逐步深入,在1971年以前并矢格林函数多用在天线的研究方面(包括小孔的辐射问题),自1971年C.T.Tai的专著出来以后并矢格林函数方法才深入到导波场论的范畴中去,Tai在这方面起了大的作用,但在他的这部专著中的级数解中也漏了重要的项,后由他本人自我完善起来,得到广泛的应用。其实根据基本的Helmholtz’s Theorem,一个任意矢量场应包含一个标量位的梯度及一个矢量位的旋度之和,亦即包含着一个纵向分量及一个横向分量之和,如果考虑到这个基本定理,则遗漏了重要一项的事也就可以避免了。实际上,在并矢格林函数G的展式中遗漏的一项可表为纵分量: The Dyadic Green’s function is one of the powerful tools to solve the electromagnetic field problem. It has been proposed for more than 40 years and many works have been published. And through the debate to make the problem gradually deepened, before 1971, the dyadic green function used in the antenna research (including the issue of small holes radiation), since CTTai’s monograph published in 1971 and after the Green’s function method to penetrate into the guided wave In the category of field theory, Tai plays an important role in this aspect. However, important items have also been missed in the series solution of his monograph. After that, Tai himself has been perfected and widely used. In fact, according to the basic Helmholtz’s Theorem, an arbitrary vector field should contain the sum of the gradient of a scalar bit and the curl of a vector bit, that is, the sum of a vertical component and a horizontal component. Considering this basic theorem, The omission of an important one can be avoided. In fact, one missing item in the expansions of the dyadic Green’s function G is the vertical component: