A unified treatment of polarized light emerging from a homogeneous plane-parallel atmosphere

Details A unified treatment of polarized light emerging from a homogeneous plane-parallel atmosphere A unified treatment of polarized light emerging from a homogeneous plane-parallel atmosphere

Sep 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987a%26a...183..363h&link_type=abstract

Astronomy and Astrophysics (ISSN 0004-6361), vol. 183, no. 2, Sept. 1987, p. 363-370.

Statistics

Computation

7

Computational Astrophysics, Light Scattering, Planetary Atmospheres, Polarized Light, Radiative Transfer, Fourier Series, Homogeneity, Integral Equations, Molecular Interactions, Series Expansion

Scientific paper

The reflection and transmission matrices are combined into one 4×4-matrix which is called the exit matrix. Symmetry considerations are employed to derive an integral equation for the exit matrix. This equation contains only three double integrals although it carries the same information as the pair of coupled integral equations for the reflection and transmission matrices in which 16 double integrals are involved. A great deal of the redundancy occurring in the traditional approach is avoided. The integral equation for the exit matrix is decomposed in a set of equations for the components in a Fourier series with respect to azimuth. The azimuth-independent equation is, by way of example, further analyzed for scattering by molecules, which includes Rayleigh scattering. In this case solutions are obtained in terms of matrices depending on only one angular variable and the close analogy between finite and semi-infinite atmospheres is revealed.

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