The calculation of continuum polarization due to the Rayleigh scattering phase matrix in multi-scattering axisymmetric envelopes

Statistics – Computation

Scientific paper

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Computational Astrophysics, Polarization, Polarized Radiation, Radiative Transfer, Rayleigh Scattering, Stellar Envelopes, Symmetry, Computation, Mathematical Models, Methodology, Monte Carlo Method, Stellar Models

Scientific paper

We have developed a numerical method to solve the polarized radiative transfer equation for scattering by particles with a Rayleigh phase matrix in axisymmetric geometries. The metod can treat an arbitrary number of scatterings, and provides a viable alternative to Monte-Carlo calculations for the computation of continuum polarizations arising from Rayleigh scattering (or electron scattering) in axisymmetric envelopes. In the optically thin limit the computed polarization agrees with that predicted by the formula of Brown & McLean (1977). For models in which multiple scattering is important, the results are in good agreement with that obtained from an independently developed Monte-Carlo code. We have also verified that the transfer code yields, for several test cases, the polarized source fuctions in spherical geometry computed using the method of Cassinelli & Hummer (1971). Several test cases are used to highlight the significant influence of multiple scattering and the albedo on the observed polarization.

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