Polarization and Intensity of Sunlight in Planetary Atmospheres: Revisiting the Gauss-Seidel Modelling Approach

Statistics – Computation

Scientific paper

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Scientific paper

As part of an ongoing investigation of radiative effects in hazy atmospheres, the author has developed computational procedures for use in determining the polarization and spectral intensity of the sunlit sky. A straightforward Gauss-Seidel iterative technique is applied directly to the integrated form of Chandrasekhar's radiative transfer equation (RTE). Simple numerical quadrature is performed over solid angle to obtain the source term J(tau ;mu ,phi ). When complete solutions of the RTE are sought in the presence of small particles, sometimes there is disagreement among distinct methodologies because of the great difficulties in consistently calculating the angular scattering behavior of the aerosol component. Efforts to verify the accuracy of the present approach by comparison with other studies of multiple scattering in pure molecular atmospheres and modestly turbid situations have been reasonably successful.

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