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

Tian’en Wang; Jianqi Shen; Chengjun Lin

doi:10.1364/AO.55.006183

Applied Optics
Vol. 55,
Issue 23,
pp. 6183-6192
(2016)
•https://doi.org/10.1364/AO.55.006183

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

Tian’en Wang, Jianqi Shen, and Chengjun Lin

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Tian’en Wang, Jianqi Shen, and Chengjun Lin, "Modified iterative vector similarity measure for particle size analysis based on forward light scattering," Appl. Opt. 55, 6183-6192 (2016)

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Abstract

The vector similarity measure (VSM), originally applied to information retrieval, has been recently introduced to analyze particle size distribution (PSD) based on forward light scattering. The VSM technique can predict the PSD with low sensitivity to the experimental errors. However, the simulations and experiments of multi-modal distributed particle systems were not satisfying. In this paper, a modified inverse algorithm is presented to improve the VSM technique. Simulated results and experimental evidence show that with this modification the VSM technique can reconstruct the PSD more efficiently.

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Mono- Modal	Bi-Modal	Tri-Modal	Quadri- Modal
$\bar{D} = 20 μm$ , $\ln σ = 0.18$	${\bar{D}}_{1} = 20 μm$ , $\ln σ_{1} = 0.2$	${\bar{D}}_{1} = 10 μm$ , $\ln σ_{1} = 0.15$	${\bar{D}}_{1} = 3 μm$ , $\ln σ_{1} = 0.2$
	${\bar{D}}_{2} = 60 μm$ , $\ln σ_{2} = 0.2$	${\bar{D}}_{2} = 33 μm$ , $\ln σ_{2} = 0.15$	${\bar{D}}_{2} = 10 μm$ , $\ln σ_{2} = 0.15$
		${\bar{D}}_{3} = 90 μm$ , $\ln σ_{3} = 0.15$	${\bar{D}}_{3} = 33 μm$ , $\ln σ_{3} = 0.15$
			${\bar{D}}_{4} = 90 μm$ , $\ln σ_{4} = 0.15$

Bi-Modal	Tri-Modal (I)	Tri-Modal (II)
${\bar{D}}_{1} = 20 μm$ , $\ln σ_{1} = 0.2$	${\bar{D}}_{1} = 10 μm$ , $\ln σ_{1} = 0.1$	${\bar{D}}_{1} = 40 μm$ , $\ln σ_{1} = 0.15$
${\bar{D}}_{2} = 40 μm$ , $\ln σ_{2} = 0.2$	${\bar{D}}_{2} = 60 μm$ , $\ln σ_{2} = 0.15$	${\bar{D}}_{2} = 60 μm$ , $\ln σ_{2} = 0.15$
	${\bar{D}}_{3} = 90 μm$ , $\ln σ_{3} = 0.15$	${\bar{D}}_{3} = 90 μm$ , $\ln σ_{3} = 0.15$

Mono- Modal	Bi-Modal	Tri-Modal	Quadri- Modal
$\bar{D} = 20 μm$ , $\ln σ = 0.18$	${\bar{D}}_{1} = 20 μm$ , $\ln σ_{1} = 0.2$	${\bar{D}}_{1} = 10 μm$ , $\ln σ_{1} = 0.15$	${\bar{D}}_{1} = 3 μm$ , $\ln σ_{1} = 0.2$
	${\bar{D}}_{2} = 60 μm$ , $\ln σ_{2} = 0.2$	${\bar{D}}_{2} = 33 μm$ , $\ln σ_{2} = 0.15$	${\bar{D}}_{2} = 10 μm$ , $\ln σ_{2} = 0.15$
		${\bar{D}}_{3} = 90 μm$ , $\ln σ_{3} = 0.15$	${\bar{D}}_{3} = 33 μm$ , $\ln σ_{3} = 0.15$
			${\bar{D}}_{4} = 90 μm$ , $\ln σ_{4} = 0.15$

Bi-Modal	Tri-Modal (I)	Tri-Modal (II)
${\bar{D}}_{1} = 20 μm$ , $\ln σ_{1} = 0.2$	${\bar{D}}_{1} = 10 μm$ , $\ln σ_{1} = 0.1$	${\bar{D}}_{1} = 40 μm$ , $\ln σ_{1} = 0.15$
${\bar{D}}_{2} = 40 μm$ , $\ln σ_{2} = 0.2$	${\bar{D}}_{2} = 60 μm$ , $\ln σ_{2} = 0.15$	${\bar{D}}_{2} = 60 μm$ , $\ln σ_{2} = 0.15$
	${\bar{D}}_{3} = 90 μm$ , $\ln σ_{3} = 0.15$	${\bar{D}}_{3} = 90 μm$ , $\ln σ_{3} = 0.15$

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Applied Optics