Radiative transfer in atmospheres with the Faraday rotation

Computer Science – Numerical Analysis

Scientific paper

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Asymptotic Properties, Atmospheric Models, Faraday Effect, Homogeneity, Magnetic Fields, Mathematical Models, Radiative Transfer, Laplace Transformation, Linear Polarization, Milne Method, Numerical Analysis, Reflection, Tables (Data), Tensor Analysis

Scientific paper

A rigorous theory of radiative transfer in atmospheres with homogeneous magnetic field is developed. It is assumed that magnetic field B less than or equal to 106 Gauss and the effects or circular dichroism are neglected. The anisotrophy of such atmospheres is due to the Faraday rotation only. The solutions of the basic problems of the radiative transfer theory (the diffuse reflection of radiation from semi-infinite atmosphere, Milne's problem, the atmospheres with thermal sources of type approximately taun, n = 0, 1, 2,... and approximately exp (-h(tau)), where tau is the optical depth) are given. For large Faraday rotation angles, the asymptotic theory is developed which allows one to calculate linear polarizations of light using the known solutions of the problems for the intensity only. The various numerical results are presented.

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