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递推T矩阵算法是一种计算散射问题的新型方法。本文对广义递推T矩阵算法的计算公式作了简单的推导并得到了其表达式。还论述了该方法与系列算法中其它方法之间的联系及优越性，并对波函数的加法定理进行了扯广，证实了该定理同样适用于虚宗量的情况，将两方面的内容加以结合，应用于损耗介质散射场的计算。同时还计算了原文献中尚未涉及的媒质问题。最后．给出了二维条件下，该方法CPU的计算时间与未知数的关系的图示。
Recursive T matrix algorithm is a new method to calculate the scattering problem. This paper gives a simple derivation of the formula of the generalized recursive T matrix algorithm and obtains its expression. The connection and superiority between this method and other methods in the series of algorithms are also discussed. The addition theorem of the wave function is expanded, which proves that the theorem also applies to the case of imaginary data, Combined with the calculation of scattering medium scattering field. At the same time, the media problems that have not been covered in the original documents are also calculated. At last. A graphical representation of the relationship between the computational time and the unknowns of the method CPU in two dimensions is given.