Asymptotics of Green's function of the transfer equation for polarized radiation

Astronomy and Astrophysics – Astronomy

Scientific paper

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Green'S Functions, Light Scattering, Polarized Light, Radiative Transfer, Asymptotic Methods, Deep Scattering Layers, Isotropic Media, Optical Transfer Function, S Matrix Theory, Scattering Functions

Scientific paper

The problem of multiple scattering of polarized light in a plane-parallel isotropic medium with an arbitrary single-scattering law is considered by investigating the asymptotic properties of Green's function in the vector equation of radiative transfer. Asymptotic forms of Green's function are derived and analyzed for an infinite medium, a semi-infinite medium, and a medium with little true absorption. It is shown that the polarization of radiation emerging from a medium after a large number of scatterings may not be small and that the approximate method of calculating the polarization of emerging radiation, which takes account of only the first few scatterings, may lead to substantial errors.

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