Rayleigh scattering in a thin spherical shell

Astronomy and Astrophysics – Astronomy

Scientific paper

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Optical Thickness, Polarized Radiation, Radiative Transfer, Rayleigh Scattering, Spherical Shells, Thin Walled Shells, Albedo, Integral Equations, Stokes Law

Scientific paper

The model of a homogeneous, geometrically thin, spherical shell with an isotropic point source of unpolarized radiation at the center is analyzed. Rayleigh scattering and true absorption occur in the shell. The distribution of the Stokes parameters of the escaping radiation over the disk is calculated, as well as the intensity and degree of polarization of the integral emission of a partially screened shell as a function of the single-scattering albedo, the optical depth, and the position of the screen. The possibility of applying the results obtained to the interpretation of observations of eclipsing binary systems with gaseous shells is pointed out.

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