Solution of Multi-dimensional Polarized Radiative Transfer Equation with PFR

Solar observations and numerical simulations have proved the existence of enormous inhomogeneous structures in the solar atmosphere. Solving polarized radiative transfer (RT) equation is a powerful means of understanding the effects of these inhomogeneities on the spectrum emerging from the Sun. To take spatial inhomogeneities into account, a solution of the transfer equation in multi-dimensional (multi-D) geometries is necessary. Here we present a summary of the developments we carried out in a series of papers, to solve multidimensional polarized RT equation with partial frequency redistribution (PFR) and the application of these methods to analyze the observations.