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由于原始的T矩阵不适用于求解具有大纵横比物体的电磁散射问题，针对二维问题，本文通过对其格林函数的椭圆柱波函数展开，提出一种求解二维电磁散射问题椭圆柱波函数的T矩阵程式（以下称作为推广T矩阵）；同时，本文还就推广T矩阵的具体运算给出了应用实例，结果表明：推广T矩阵能够很好地用于谐振频域的大纵横比物体的电磁散射问题。
Since the original T matrix is not suitable for solving electromagnetic scattering problems with large aspect ratio objects, this paper proposes an elliptic cylindrical wave function to solve the two-dimensional electromagnetic scattering problem for two-dimensional problems by expanding its elliptic cylindrical wave function of Green’s function T matrix program (hereinafter referred to as generalized T matrix). At the same time, this paper also gives some practical examples to generalize the T matrix. The results show that the generalized T matrix can be used in large aspect ratio The issue of electromagnetic scattering.