Anisotropic light scattering in a spherical shell

Astronomy and Astrophysics – Astrophysics

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Radiative Transfer, Dust, Extinction, Interstellar Medium: General

Scientific paper

In this paper a new method is introduced to calculate anisotropic scattering in an isotropically illuminated spherical shell. The method is based on the use of an iterative scheme making use of an approximation for the source function calculated along one of the radii of the shell and the moment equations derived from the transport equation. A first approximation of the source function is found as a sum over a limited number of orders of scattering. The Eddington factors following from the diffuse intensity calculated from this source function are used to find an approximate solution of the moment equations. This solution is subsequently used to improve the source function.
Only a limited number of orders of scattering is needed to find sufficiently reliable values for the Eddington factors to calculate a meaningful solution of the moment equations. The number of iterations required to calculate the radiation field in the shell is remarkably small.
Especially the scattering of light in a shell illuminated by a central point source is studied.

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