Statistics – Computation
Scientific paper
Jan 1992
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992jqsrt..47...19w&link_type=abstract
Journal of Quantitative Spectroscopy and Radiative Transfer (ISSN 0022-4073), vol. 47, Jan. 1992, p. 19-33, 35-42.
Statistics
Computation
32
Atmospheric Models, Atmospheric Scattering, Microwave Transmission, Polarized Radiation, Radiative Transfer, S Matrix Theory, Brightness Temperature, Cosine Series, Discrete Functions, Numerical Stability, Rayleigh Scattering, Sine Series, Solar Radiation, Thermal Radiation
Scientific paper
A theory is developed for discretizing the vector integro-differential radiative transfer equation including both solar and thermal radiation. A complete solution and boundary equations are obtained using the discrete-ordinate method. An efficient numerical procedure is presented for calculating the phase matrix and achieving computational stability. With natural light used as a beam source, the Stokes parameters from the model proposed here are compared with the analytical solutions of Chandrasekhar (1960) for a Rayleigh scattering atmosphere. The model is then applied to microwave frequencies with a thermal source, and the brightness temperatures are compared with those from Stamnes'(1988) radiative transfer model.
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