Mie散射向前递推连分式算法及其数值模拟

提出了一种新的Mie散射算法。针对Mie散射系数计算中直接递推所存在的数据溢出问题,对散射系数的递推公式进行改进,以连分式形式进行计算,将两个关键函数分别向前递推,避免了直接计算时贝塞尔函数值超出计算机最大数据限而造成的数据溢出问题。利用Matlab编程,分别计算了不同粒径参数和不同折射率情况下的散射光强分布,并对两种算法的模拟结果进行了分析比较。结果表明,在两种算法都有效的范围内这两种算法的计算结果完全相符,而改进的向前递推连分式算法用一个变量循环叠代就能完成连分式的计算,展宽了使用范围,不仅能够计算超大粒径参数散射,而且算法对折射率虚部没有任何限制。

Onwards continued fraction algorithm for Mie scattering and numerical simulation

A new algorithm of Mie scattering coefficient is presented for the data overflow.Mie scattering coefficient is calculated by direct recursion,which can mend the recursion formula of scattering coefficient,and the problem that the data of Bessel function overstep the computer maximal data leading to data overflow is avoided when calculating directly by gaining two key function's forward recursion respectively according to the count of continued fraction.Scattering light intensity is calculated under the diff...