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JOURNALS // Izvestiya of Saratov University. Mathematics. Mechanics. Informatics // Archive

Izv. Saratov Univ. Math. Mech. Inform., 2025 Volume 25, Issue 2, Pages 281–294 (Mi isu1083)

Scientific Part
Computer Sciences

Statistical modeling of the depolarizing properties of optically dense dispersive systems in the small-angle scattering mode of probe light propagation

A. A. Isaevaa, E. A. Isaevaa, An. V. Skripalb, D. A. Zimnyakovabc

a Yuri Gagarin State Technical University of Saratov, 77 Politechnicheskaya St., Saratov 410054, Russia
b Saratov State University, 83 Astrakhanskaya St., Saratov 410012, Russia
c Institute of Precision Mechanics and Control Problems of the Russian Academy of Sciences (IPTMU RAS), 24 Rabochaya St., Saratov 410028, Russia

Abstract: Results of statistical modeling of the polarization degree decay in the case of forward propagation of a linearly polarized laser beam in multiple scattering dispersive systems are presented. Disordered ensembles of dielectric spherical particles with various values of the wave parameter are considered as these dispersive systems. The modeling algorithm is based on an iterative transformation of the Jones vectors for partial components of the multiple scattered light fields in the considered systems due to random sequences of scattering events; the transformation procedure is provided using the Monte-Carlo simulation. The average number of scattering events corresponding to the $1/e$ decay of the polarization degree, and the ratio of the depolarization length to the mean transport free path of probe light in the scattering systems are considered as the key parameters. It was found that the maximal depolarization length is achieved in the case when the wave parameter of scattering particles is close to the value corresponding to the first Mie resonance of the dependence of the scattering efficiency on the wave parameter. The modeling results are compared to the experimental and theoretical data obtained using a hybrid approach in the framework of the diffusion approximation of radiative transfer theory.

Key words: statistical modeling, dispersed systems, radiative transfer, depolarization.

UDC: 51.73

Received: 20.05.2024
Revised: 10.09.2024

DOI: 10.18500/1816-9791-2025-25-2-281-294



© Steklov Math. Inst. of RAS, 2025