# Potential of the prediction of absorption and scattering coefficients of turbid medium by combining a polarized speckle measurement with a chemometric analysis

Ryad Bendoula, Daphné Heran, Maxime Ryckewaert

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Ryad Bendoula, Daphné Heran, Maxime Ryckewaert. Potential of the prediction of absorption and scattering coefficients of turbid medium by combining a polarized speckle measurement with a chemometric analysis. NIR2023, Aug 2023, Innsbruck, Austria. 1 p. hal-05460393

HAL Id: hal-05460393

https://hal.inrae.fr/hal-05460393v1

Submitted on 15 Jan 2026

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Distributed under a Creative Commons CC BY 4.0 - Attribution - International License
POTENTIAL OF THE PREDICTION OF ABSORPTION AND SCATTERING
COEFFICIENTS OF A TURBID MEDIUM BY COMBINING A POLARIZED SPECKLE
MEASUREMENT WITH A CHEMOMETRIC ANALYSIS

Ryad Bendoula¹, Daphné Heran¹, Maxime Ryckewaert¹

¹Inrae, Montpellier, France

Non-invasive determination of optical absorption and scattering properties of materials is a subject of considerable interest for many applications. Specific experimental techniques based on light propagation theory and radiative transfer equation resolution have been proposed to measure absorption and scattering properties separately. These techniques involve different setups based on spatially resolved, time-resolved spectroscopy as well as double integrating sphere setups.

Although powerful, these methods have their limitations and are only based on a corpu-
scular approach. In order to improve the determination of optical bulk properties, it is
possible to explore the wave properties of light. In this study, we propose to combine the
corpuscular and wave properties of light to improve the prediction of the bulk properties
of materials. For this purpose, the combination of speckle pattern analysis, polarization
parameters and chemometric tools was investigated.

An optical setup based on light polarization and speckle measurements was developed and turbid samples were measured at 405 nm and 660 nm. First, backscattered polarized speckle acquisition was performed on a set of 41 samples with various scattering (µs) and absorbing (µa) coefficients. Then, several parameters were computed from the polarized speckle images and prediction models were built using stepwise-Multiple Linear Regression. The first result are very promising. µs was predicted with R² > 0.9 using and R² = 0.8 for µa with only two parameters. After the validation of the proof of concept, the next step is to increase the number of wavelength.

<figure><img src="image_2.png" /><figcaption>Figure 1. Stepwise MLR predicted values versus actual values of respectively us at 405nm and µa at 660 nm using two parameters, for calibration and test datasets.</figcaption></figure>