Atmospheric transfer of radiation above an inhomogeneous non-Lambertian reflective ground. I - Theory

Physics – Optics

Scientific paper

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Atmospheric Attenuation, Radiative Transfer, Remote Sensing, Surface Properties, Atmospheric Optics, Atmospheric Scattering, Bidirectional Reflectance, Fourier Transformation, Gauss Equation, Inhomogeneity, Satellite Imagery

Scientific paper

A method for solving the three-dimensional equation of transfer for a vertically inhomogeneous atmosphere bounded by a reflecting surface of non-uniform bidirectional reflectance is presented. The technique incorporates a two-dimensional spatial Fourier transform of the transfer equation and solution of the resulting expressions for each Fourier component of the radiation field using the method of Gauss-Seidel iteration. The intensity field in the spatial domain, which is calculated for a variety of altitudes, zenith angles, and azimuths, is reconstructed using the inverse Fourier transform. An empirical surface bidirectional reflectance function is employed, permitting the consideration of non-Lambertian reflective properties.

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