经典Mie散射的数值计算方法改进

在光散射颗粒测量技术中,Mie散射理论的计算非常重要。本文介绍一种改进的Mie散射数值计算方法,通过对Mie散射系数进行重新构造,找到参量来控制Mie计算的收敛和计算精度。对各有关参量选用合适、稳定的递推关系进行计算。数值计算结果表明该方法具有快速、稳定的优点,可以在极大的颗粒粒径和折射率范围内得到合理结果。

An Improved Algorithm of Classical Mie Scattering Calculation

The calculation of the classical Mie theory is very important for particle size analysis. In the work, an improved algorithm of Mie scattering calculation is presented. By re-constructing the Mie scattering coefficients, a parameter is found to control the convergence and the precision of the Mie calculation. The related parameters are calculated by means of the proper downward or upward recurrences respectively, which are proved to he very fast and stable. Numerical calculation shows that the algorithm is efficient, reliable and robust in an extremely wide range of particle size and refractive index.