Radiance distribution simulation in a transparent medium with Fresnel boundaries containing aluminum nanoparticles

The radiative transfer equation in a slab with Fresnel boundaries was solved by the spherical harmonics method in the case of a transparent medium containing aluminum nanoparticles. A computer program was developed, the angular radiance distribution on the slab boundaries and in the slab center were calculated. It was concluded that Fresnel boundary conditions make the angular distribution on the slab boundaries asymmetric. The use of angular radiance distribution for solving the reverse problems of scattering spectroscopy was discussed.