Abstract

The set of linear equations in the inversion of the particle size distribution (PSD) based on light diffraction is an ill-posed problem. To solve this problem, a technique based on the similarity measure between the measured vector and the column vectors of the matrix is studied and is tested by numerical simulations and experiments. An iterative method based on the vector similarity measurement (VSM) is proposed to predict the peaks of the PSD in steps. Simulations of the mono/bi-modal particle systems are discussed. It is found that the VSM technique can predict the PSD with low sensitivity to the experimental errors.

© 2015 Optical Society of America

Modified iterative vector similarity measure for particle size analysis based on forward light scattering

Tian’en Wang, Jianqi Shen, and Chengjun Lin
Appl. Opt. 55(23) 6183-6192 (2016)

Smoothness-constrained projection method for particle analysis based on forward light scattering

Jianqi Shen, Bin Yu, Huarui Wang, Haitao Yu, and Yehuan Wei
Appl. Opt. 47(11) 1718-1728 (2008)

Analysis of particle sizes, concentration, and refractive index in measurement of light transmittance in the forward-scattering-angle range

Anatoli P. Nefedov, Oleg F. Petrov, and Olga S. Vaulina
Appl. Opt. 36(6) 1357-1366 (1997)

Effect of scattering angle error on particle size determination by multiangle dynamic light scattering

Shanshan Gao, Jin Shen, John C. Thomas, Zuoming Yin, Xuemin Wang, Yajing Wang, Wei Liu, and Xianming Sun
Appl. Opt. 54(10) 2824-2831 (2015)

Improved projection algorithm to invert forward scattered light for particle sizing

Wang Jianping, Xie Shizhong, Zhang Yimo, and Li Wei
Appl. Opt. 40(23) 3937-3945 (2001)