Abstract

PEREZ MAYESFFER, E. E. et al. 3D Monte Carlo analysis on photons step through turbid medium by Mie scattering. Rev. mex. fis. [online]. 2021, vol.67, n.2, pp.292-298.  Epub Feb 16, 2022. ISSN 0035-001X.  https://doi.org/10.31349/revmexfis.67.292.

Photon scattering profiles in a turbid media were investigated through numerical simulation based on the Monte Carlo-Mie method at this present work, using Wolfram Mathematics in the program algorithm. Photon scattering was treated using electromagnetic spherical harmonics waves in three-dimensional scattering. The proposal, as an alternative to the Henyey-Greenstein phase approximation, was defining a unit vector that represents a phase distribution, as an equivalent function with three vector components, within the turbid media. Associating the step component, as projection using Legendre polynomials and for the transverse plane components were defining as vector bases in terms of Legendre-Hankel functions, according to Gustav Mie’s theory. This composite vector was defined as a step function and was evaluated within the Monte Carlo algorithm, obtaining simulations of light scattering. Backscatter profiles were compared for different geometric dimensions of the spherical particles within the turbid media, including validation of the model with an experimental Lidar signal from low clouds, obtaining physical properties of the turbid media by the proposed theoretical model.

Keywords : Photon scattering; turbid media; Monte Carlo-Mie method; spherical harmonics.