The Milne problem with chaotic magnetic field

We consider the semi-infinite plane-parallel electron atmosphere with chaotic magnetic field B' <= 10(10) G, when the parameter x(2) = (omega(B)/omega)(2) similar or equal to 0.87 x 10(-16) lambda(2)(mu m)B-'2(G) can be both << 1 and >> 1. Regular magnetic field B-0 is absent. All magnetic fluctuations are assumed as Gaussian type and isotropic. The isotropic magnetic fluctuations B' give rise to the same extinction for all Stokes parameters and the additional extinction factor h for parameters Q and U, which arises due to chaotic Faraday rotations. We consider the Milne problem, which is described by the system of transfer equations for intensity I and parameter Q. It is shown that the phase matrix depends on parameter G (B'), which is equal to 3 for x'(2) << 1 and to 27 for x'(2) >> 1. The calculations demonstrate that the polarization of outgoing radiation strongly depends on parameter h and degree of absorption epsilon.

Automated summary

This article investigates the semi-infinite electron atmosphere with chaotic magnetic field. The isotropic magnetic fluctuations have been taken into consideration and their impact on the polarization of outgoing radiation has been analyzed. The results indicate that the polarization strongly depends on parameter h and degree of absorption epsilon.