Hirleman E D
Appl Opt. 1991 Nov 20;30(33):4832-8. doi: 10.1364/AO.30.004832.
A general solution to the problem of measuring the size distribution of large particles in optically thick media by using small-angle light scattering is presented. The approach is general in the sense that no assumption of the form of the particle-size distribution function is required, although the particles must be distributed uniformly throughout the medium. The method is based on a successive order, discrete ordinates approach for modeling multiple-scattering phenomena and requires that the particle field be interrogated by using an array of near-forward input light angles. The scattering redistribution matrix is thereby determined, which permits a numerical inversion of the problem to obtain the single-scattering signature. Finally, conventional inverse scattering methods are used to reconstruct the particle-size distribution from the near-forward (single-scattering) light-scattering pattern.
提出了一种通过小角度光散射测量光学厚介质中大颗粒尺寸分布问题的通用解决方案。该方法具有通用性，即不需要对颗粒尺寸分布函数的形式进行假设，尽管颗粒必须在整个介质中均匀分布。该方法基于一种逐次阶次的离散坐标方法来模拟多重散射现象，并且要求使用一系列近前向输入光角度来探测颗粒场。由此确定散射再分布矩阵，这允许对问题进行数值反演以获得单次散射特征。最后，使用传统的逆散射方法从近前向（单次散射）光散射模式重建颗粒尺寸分布。
