Polarized light diffusely scattered under smooth and rough interfaces

We develop models for light scattering appropriate for glossy and matte paints. Volume scattering is treated in the single scattering regime and the diffusive scattering regime. In the single scattering regime, scattering is treated in the Rayleigh-Gans approximation, using a Henyey-Greenstein phase function. Interaction of the light with the smooth or rough interface is treated in the facet approximation. The theory for transmissive light scattering by a rough interface in the facet approximation is presented. To treat volume scattering under a rough interface, a Monte Carlo approach is used, where light is allowed to interact with the surface twice, once upon entering the material and once upon exiting. We compare the polarization and intensity predicted by the models with experimental data from glossy and matte paint samples. The results indicate that the new models are an improvement over the Maxwell-Beard model.

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