On polarization transfer in an inhomogeneous birefringent medium

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Coupled Modes, Faraday Effect, Nonuniform Plasmas, Plasma-Electromagnetic Interaction, Polarization (Waves), Space Plasmas, Birefringence, Circular Polarization, Magnetically Trapped Particles, Magnetoionics, Poincare Spheres, Radiative Transfer

Scientific paper

A new solution for polarization transfer through an inhomogeneous medium in the weak anisotropy limit is presented. The transfer equation for the polarization vector is integrated into the reference frame of the natural modes of the medium. The solution is expressed as a product of triplets of rotation matrices, with two kinds of matrices in each triplet: one related to the Faraday rotation, the two others to mode coupling. This result is used in the HF approximation of the magnetoionic theory, and a different estimate for the local coupling factor is considered. The results of propagation in vacuo are shown to recover in the high frequency limit. Finally, the integration method is applied to propagation through a plasma confined in a diverging magnetic flux tube. The rapid convergence of the solution is shown and three frequency domains with quite different mode coupling effects are distinguished.

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