Approximate method of solving problems of radiation transfer in a cold plasma with strong magnetic field

Astronomy and Astrophysics – Astronomy

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Astronomical Models, Cold Plasmas, Neutron Stars, Radiative Transfer, Stellar Magnetic Fields, Stellar Radiation, Diffusion Theory, Gamma Ray Astronomy, Magnetic Diffusion, Polarization (Waves), Rarefied Plasmas, X Ray Sources

Scientific paper

Two approximate methods of solution for problems of radiative transfer in a plasma with a magnetic field are proposed; only the approximation of a cold plasma is considered. One method involves the coupled diffusion of normal waves with generalized Marshak boundary conditions, while the other is based on selecting the constants in the diffusion solution by means of the integral form of the transfer equations obtained for arbitrary anisotropy of the transfer coefficients, and they differ by the method of extending the diffusion solution from the depth of the medium to the emitting boundary. The methods lead to comparatively simple analytic expressions convenient not only for calculations but also for qualitative investigation of the spectral, angular, and polarization characteristics of the emerging radiation for arbitrary direction of the magnetic field.

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