A multi-layer discrete-ordinate method for vector radiative transfer in a vertically-inhomogeneous, emitting and scattering atmosphere. I - Theory. II - Application

Statistics – Computation

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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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