Correlated scattering and clustering of very dense random spherical particles using Monte-Carlo numerical realization

Monte Carlo (MC) numerical simulation has been applied to calculation of scattering and extinction coefficients k_s, k_e and the effective propagation constant K of random dense particles. These discussions are based on the case for ice grains of snowpack with f_v < 0.4. However, correlated scattering from very dense random particles such as f_v > 0.4 has not been studied. In this paper, two MC methods (i.e. sequential addition method and random shuffling method) are adopted to generate randomly spatial positions of very dense spherical particles. Numerical approaches for calculations of k_s, k_e and K for very dense particles f_v > 0.4 are developed. Numerical simulations show that random media of very dense particles demonstrate particles clustering and enhance scattering as bigger or clustered particles.