Compact setup to determine size and concentration of spherical particles in a turbid medium

Kalpak Gupta; M. R. Shenoy

doi:10.1364/AO.435596

Applied Optics
Vol. 60,
Issue 26,
pp. 8174-8180
(2021)
•https://doi.org/10.1364/AO.435596

Compact setup to determine size and concentration of spherical particles in a turbid medium

Kalpak Gupta and M. R. Shenoy

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Kalpak Gupta and M. R. Shenoy, "Compact setup to determine size and concentration of spherical particles in a turbid medium," Appl. Opt. 60, 8174-8180 (2021)

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Abstract

We propose a compact setup to determine the size and concentration of spherical particles in a turbid medium. A pair of plane mirrors is used to multifold the undeviated laser beam, and measure it at a detector placed close to the sample, to determine the interaction coefficient. The size of particles is uniquely determined by comparison of the scattered light from the medium, measured at two separate detectors placed at two different angular positions, with that from Monte Carlo simulations. The methodology is verified using measurements with turbid samples comprising polystyrene spheres.

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Corrections

13 September 2021: A correction was made to the body of the paper, in which the funding section was removed.

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Data Availability

Data underlying the results presented in this paper are not publicly available at this time but may be obtained from the authors upon reasonable request.

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Particle Diameter (nm)	$μ_{t}$ Using $D_{3}$ ( $c m^{- 1}$ )	$μ_{t}$ Using $D_{4}$ ( $c m^{- 1}$ )
600	0.049	0.048
600	0.177	0.177
600	0.308	0.309
2,000	0.173	0.162
2,000	0.285	0.266
2,000	0.324	0.311

Nominal Particle Diameter (nm)	$μ_{t}$ ( $c m^{- 1}$ )	Size from $D_{1}$ (nm)	Size from $D_{2}$ (nm)	Average Size (nm)	$n$ ( $\times 10^{6}$ ) ( $c m^{- 3}$ )
600	0.049	600	610	$605 \pm 5$	16.19
600	0.177	640	610	$625 \pm 5$	58.39
600	0.308	640	620	$630 \pm 10$	101.56
2,000	0.173	1,990	2010	$2000 \pm 10$	1.69
2,000	0.285	1,960	1,990	$1975 \pm 15$	2.79
2,000	0.324	1,940	1,960	$1950 \pm 10$	3.16

Particle Diameter (nm)	$μ_{t}$ Using $D_{3}$ ( $c m^{- 1}$ )	$μ_{t}$ Using $D_{4}$ ( $c m^{- 1}$ )
600	0.049	0.048
600	0.177	0.177
600	0.308	0.309
2,000	0.173	0.162
2,000	0.285	0.266
2,000	0.324	0.311

Nominal Particle Diameter (nm)	$μ_{t}$ ( $c m^{- 1}$ )	Size from $D_{1}$ (nm)	Size from $D_{2}$ (nm)	Average Size (nm)	$n$ ( $\times 10^{6}$ ) ( $c m^{- 3}$ )
600	0.049	600	610	$605 \pm 5$	16.19
600	0.177	640	610	$625 \pm 5$	58.39
600	0.308	640	620	$630 \pm 10$	101.56
2,000	0.173	1,990	2010	$2000 \pm 10$	1.69
2,000	0.285	1,960	1,990	$1975 \pm 15$	2.79
2,000	0.324	1,940	1,960	$1950 \pm 10$	3.16

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Equations (14)

Applied Optics