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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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