Three-dimensional heuristic radiation transfer method based on enumeration using the directions grid

In this study, we present an effective three-dimensional dust radiation transfer method based on enumeration using the directions grid and the law of total probability. The method is suitable for several simple problems. These problems are solved with different grades of direction sampling and by considering various photon scattering numbers. The polarization is calculated together with the photometry. The results obtained with the proposed method were compared with those produced by Monte-Carlo modeling. Both methods use the same physical and geometrical models. The results were obtained with one testing program, which allowed detailed comparisons of the results in terms of their quality and time rate. The analysis of multiple scattering was conducted carefully because considering all of the scattering results may be similar to the results obtained by single scattering modeling.