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1999
DOI: 10.1364/ao.38.005887
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Limits of optical transmission measurements with application to particle sizing techniques

Abstract: Considerable confusion exists regarding the applicability limits of the Bouguer-Lambert-Beer law of optical transmission. We review the derivation of the law and discuss its application to the optical thickness of the light-scattering medium. We demonstrate the range of applicability by presenting a method for determining particle size by measuring optical transmission at two wavelengths.

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Cited by 33 publications
(22 citation statements)
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“…To the best of our knowledge, there have been no reports on the use of photoacoustic spectroscopy to assess the enzymatic dye decolourization. This technique will be specially useful in cases where materials with high optical density (opaque samples) are to be analysed due to the fact that Beer-Lambert's law no longer applies when the sample presents high scattering and low/poor optical transmission (Swanson et al 1999). It should be added that photoacoustic spectroscopy is a non-destructive technique based on photothermal phenomena, which allows thermophysical parameter assessment and depth profile analysis of materials (Coelho et al 2010b).…”
Section: Pas Analysismentioning
confidence: 99%
“…To the best of our knowledge, there have been no reports on the use of photoacoustic spectroscopy to assess the enzymatic dye decolourization. This technique will be specially useful in cases where materials with high optical density (opaque samples) are to be analysed due to the fact that Beer-Lambert's law no longer applies when the sample presents high scattering and low/poor optical transmission (Swanson et al 1999). It should be added that photoacoustic spectroscopy is a non-destructive technique based on photothermal phenomena, which allows thermophysical parameter assessment and depth profile analysis of materials (Coelho et al 2010b).…”
Section: Pas Analysismentioning
confidence: 99%
“…The effect of coherent scattering has been studied in relation to the applicability of the Beer law, for which a beam radiation extinction follows an exponential law given by I (z) = I 0 exp(−N C ext z), [9] where N is the number density of the particles. This law is in fact a steady-state solution to the radiative transfer equation (RTE) when scattering is negligible, though it can be successfully applied to nonzero scattering if the detector's acceptance angle is small enough (20). It has been found in both experimental data and calculations that addressing the problem of coherent scattering by means of approximations such as the QCA (quasi-crystalline approximation) gives better agreement to experimental data than trying to calculate multiple incoherent scatterings.…”
Section: Figmentioning
confidence: 99%
“…When light passes through a mixture, attenuation of the light intensity occurs by two mechanisms: in a homogeneous, single-phase solution, only absorbance contributes significantly to attenuation; in suspensions containing mixtures of two or more phases, light scattering due to difference in refractive index and the shape of this index mismatch also contribute to light attenuation [2]. The Beer-Lambert law only applies rigorously to single-phase solutions; however, certain assumptions and approximations allow the Beer-Lambert law to be extended to systems that exhibit significant scattering.…”
Section: Introductionmentioning
confidence: 99%