On Green's function for spherically symmetric problems of transfer of polarized radiation

Analytic expressions for Green's function describing the process of transfer of polarized radiation in homogeneous isotropic infinite medium in case of spherical symmetry and nonconservative scattering are obtained. Spherical eigenfunctions of the homogeneous transfer equation are not used, due to their strong divergence; instead, direct transformation from plane-parallel to spherical symmetry is carried out, leading to convergent solutions. The possible existence of generalized eigenfunctions of homogeneous transfer equation is accounted for.