Asymptotic analysis of resonance polarization and escape probability approximations

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Asymptotic Methods, Line Spectra, Linear Polarization, Atomic Spectra, Integral Equations, Optical Thickness, Wave Scattering

Scientific paper

Polarized transfer asymptotic and first order escape probability methods developed for the nonpolarized case are generalized to include linear polarization produced by the scattering of anisotropic radiation in the absence of magnetic fields. The analyses are based on a coupled integral equation for two-angle-dependent source functions. Some general properties, such as the order of magnitude of the surface polarization and approximations for the source functions, are deduced. The escape probability approximations are compared with exact solutions and found to be more accurate than first order perturbation techniques for lines of moderate optical thickness in solar isothermal prominences.

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