Numerical calculations of light propagation in random media demand the multiply scattered Stokes intensities to be written in a common fixed reference. In multiple-scattering schemes, a particularly useful way to perform automatically these basis transformations between reference frames is to write the scattered intensities in the Chandrasekhar-Sekera representation. The main drawback with this representation is the necessity of numerical tests to deal with the limiting situations of the small particle (Rayleigh) and forward/backward scattering. Here, a new set of basis functions is presented to describe the scattering of light by spherical particles (Mie scattering) in the Chandrasekhar-Sekera representation. These basis functions can be implemented in a new algorithm to calculate the Mie scattering amplitudes, which leads straightforwardly to all the scattering quantities. In contrast to the traditional implementation, this set of basis functions implies to natural numerical convergence to the above mentioned limiting cases, which are thoroughly discussed.

随机介质中光传播的数值计算需要将多次散射的斯托克斯强度写入公共固定参考中。在多重散射方案中，在参考系之间自动执行这些基变换的一种特别有用的方法是在 Chandrasekhar-Sekera 表示中写入散射强度。这种表示的主要缺点是必须进行数值测试来处理小粒子（瑞利）和前向/后向散射的限制情况。在这里，提出了一组新的基函数来描述 Chandrasekhar-Sekera 表示中球形粒子的光散射（米氏散射）。这些基函数可以在新算法中实现，以计算 Mie 散射幅度，这直接导致所有散射量。与传统实现相反，这组基函数意味着对上述极限情况的自然数值收敛，这些情况已被彻底讨论。