一组改进Mie散射数值计算的基函数
A set of basis functions to improve numerical calculation of Mie scattering in the Chandrasekhar-Sekera representation
摘要：
光在随机介质中传播的数值计算要求将多次散射的斯托克斯强度写在一个公共的固定参考中。自动执行这些基本变换的一个特别有用的方法是将散射强度写入到Rumrasekhar-Sekera表示中。这种表示产生的副作用，使数值试验是必要的，以处理小颗粒（瑞利）和前向/后向散射的限制情况。本文提出了一组新的基函数来描述球形粒子对光的光的散射（Mie散射），并给出了Mie散射的Mie-Sekera表示。这些基函数可以在一种新的算法中实现，以计算Mie散射振幅，这直接导致所有的散射量。与传统的实现相比，这组基函数意味着自然的数值收敛到上述极限情况下，这是彻底讨论。
英文摘要：
Numerical calculations of light propagation in random media demand the multiply scattered Stokes intensities to be written in a common fixed reference. A particularly useful way to perform automatically these basis transformations is to write the scattered intensities in the Chandrasekhar-Sekera representation. This representation produces side effects so that numerical tests are necessary 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.
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