Radiation intensity and polarization in an atmosphere with a chaotic magnetic field

We consider the influence of Faraday rotation in a chaotic magnetic field on the intensity and linear polarization of multiple scattered radiation. All fluctuations are assumed to be Gaussian type and isotropic. The magnetic field strength is less 10(5) G. In this case, the parameter omega(B)/omega = (eB/m(e)c)/omega similar or equal to 0.93 x 10(-8)lambda(mu m) B(G) is small and the radiation scatterings are the usual scatterings on free electrons. Only the Faraday rotation influences the intensity and polarization of radiation. We consider the Milne problem in an electron magnetized atmosphere without mean magnetic field. We found that a chaotic magnetic field does not increase the number of H-functions describing the Milne problem. There are four H-functions, as in the Milne problem for the non-magnetized case. The calculations demonstrate that the polarization of outgoing radiation diminishes strongly with an increase in the level of magnetic fluctuations. The calculations can be used for estimations of the inclination angle i of accretion discs and the level of magnetic fluctuations.