Impact of structure geometry on scattering in partially-ordered media

- Multiple scattering in structured medium was modeled via Monte Carlo simulation.
- Group formation impact on multiply scattered radiance was observed.
- Static structure factor influence on scattered radiance was obtained.
- Scattered radiance changes nonlinearly via number and size of particles in groups.

Scattering in random structure is a typical problem for different media: colloids, clouds, liquids in coagulation stage, etc. In these structures, the group formation leads to interference effects in the scattered phase function due to the significant static structure factor. This work includes a computational study of the group formation impact on the radiation transfer in such media, when a point isotropic source is used. Rigorous calculations of a group scattering phase function for structures with different particle׳s size are made. A Monte-Carlo approach is applied to solve the radiative transfer equation in these media. To avoid singularities in the direct Monte-Carlo solution, appeared due to the radiation detection in a single point, the double-local Monte-Carlo estimation was used. The impact of group scattering phase function and a structure factor on the calculated scattered field radiance are discussed in this work. It is shown that for the point isotropic source the inhomogeneity of the group scattering phase function appears in the radiative transfer effects.