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Corrections for accurate measurements of particle extinction in scattering media using collimated and diffuse illumination

Nunes, Cohen T.V. ; Willhardt, Colton D. ; Manin, Julien L. ; Berrocal, Edouard LU and Guildenbecher, Daniel R. (2026) In Optics Express 34(8). p.14068-14085
Abstract

Light extinction is widely used to study particles in sprays, soot-forming combustion, and multiphase reactive flows. However, quantitative interpretation of extinction signals remains challenging when particles have a sufficiently large scattering albedo, meaning that incident photons are scattered much more than they are absorbed. This is especially true when experiments involve large apertures and diffuse illumination, resulting in the collection of a substantial portion of the scattered light. Here, an analytic model is developed that quantifies the fraction of single-scattered light collected in such a measurement. This model predicts the correction factor necessary to obtain the true optical depth from measured extinction. Model... (More)

Light extinction is widely used to study particles in sprays, soot-forming combustion, and multiphase reactive flows. However, quantitative interpretation of extinction signals remains challenging when particles have a sufficiently large scattering albedo, meaning that incident photons are scattered much more than they are absorbed. This is especially true when experiments involve large apertures and diffuse illumination, resulting in the collection of a substantial portion of the scattered light. Here, an analytic model is developed that quantifies the fraction of single-scattered light collected in such a measurement. This model predicts the correction factor necessary to obtain the true optical depth from measured extinction. Model predictions are validated against experiments and Monte Carlo simulations, showing good agreement across the Rayleigh, Lorenz-Mie, and geometric regimes at low optical depths for both collimated and diffuse illumination schemes. Furthermore, in some regimes, model accuracy is shown to extend to high optical depths, and reasons therefor are discussed. For common measurements based on the diffuse back-illumination extinction imaging (DBI-EI) technique, the model proposed here establishes a practical foundation for quantitative interpretation of measured light extinction from scattering particles with substantially less computational cost and complexity compared to established Monte Carlo methods.

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organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Optics Express
volume
34
issue
8
pages
18 pages
publisher
Optical Society of America
external identifiers
  • pmid:42071530
  • scopus:105035242277
ISSN
1094-4087
DOI
10.1364/OE.591768
language
English
LU publication?
yes
id
de365d52-36af-4afd-b452-4c3ca489d814
date added to LUP
2026-06-11 14:10:12
date last changed
2026-07-24 23:36:33
@article{de365d52-36af-4afd-b452-4c3ca489d814,
  abstract     = {{<p>Light extinction is widely used to study particles in sprays, soot-forming combustion, and multiphase reactive flows. However, quantitative interpretation of extinction signals remains challenging when particles have a sufficiently large scattering albedo, meaning that incident photons are scattered much more than they are absorbed. This is especially true when experiments involve large apertures and diffuse illumination, resulting in the collection of a substantial portion of the scattered light. Here, an analytic model is developed that quantifies the fraction of single-scattered light collected in such a measurement. This model predicts the correction factor necessary to obtain the true optical depth from measured extinction. Model predictions are validated against experiments and Monte Carlo simulations, showing good agreement across the Rayleigh, Lorenz-Mie, and geometric regimes at low optical depths for both collimated and diffuse illumination schemes. Furthermore, in some regimes, model accuracy is shown to extend to high optical depths, and reasons therefor are discussed. For common measurements based on the diffuse back-illumination extinction imaging (DBI-EI) technique, the model proposed here establishes a practical foundation for quantitative interpretation of measured light extinction from scattering particles with substantially less computational cost and complexity compared to established Monte Carlo methods.</p>}},
  author       = {{Nunes, Cohen T.V. and Willhardt, Colton D. and Manin, Julien L. and Berrocal, Edouard and Guildenbecher, Daniel R.}},
  issn         = {{1094-4087}},
  language     = {{eng}},
  month        = {{04}},
  number       = {{8}},
  pages        = {{14068--14085}},
  publisher    = {{Optical Society of America}},
  series       = {{Optics Express}},
  title        = {{Corrections for accurate measurements of particle extinction in scattering media using collimated and diffuse illumination}},
  url          = {{http://dx.doi.org/10.1364/OE.591768}},
  doi          = {{10.1364/OE.591768}},
  volume       = {{34}},
  year         = {{2026}},
}