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Paper: Analytic Results for Rayleigh Scattering and Resonance Polarization
Volume: 526, Solar Polarization Workshop 8
Page: 19
Authors: Frisch, H.
Abstract: In a plane parallel semi-infinite atmosphere, where the scattering of photons follows the Rayleigh scattering law and all the absorbed photons are reemitted (conservative scattering), the polarized radiation field can be expressed in terms of two functions Hl(μ) and Hr(μ) introduced by Chandrasekhar. It will be shown how the vector radiative transfer problem for the polarized radiation field can be decomposed into two scalar equations leading to exact expressions for Hl(μ) and Hr(μ). For non conservative Rayleigh scattering, the radiation field can be expressed in terms of a matrix H(μ) satisfying a numerically solvable nonlinear integral equation. The method of construction of this nonlinear equation and its generalization to resonance scattering of spectral lines formed with complete frequency redistribution is outlined.
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