Multiple scattering in the atmosphere with a rough surface. I - Azimuth-independent case

Mathematics

Scientific paper

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Atmospheric Scattering, Light Scattering, Optical Reflection, Planetary Atmospheres, Planetary Surfaces, Surface Roughness Effects, Astronomical Models, Diffuse Radiation, Optical Properties, Optical Thickness, Radiative Transfer, Superposition (Mathematics)

Scientific paper

The intensity of radiation emergent from an atmosphere bounded by a rough surface is discussed with the aid of the superposition method derived by Mukai (1973). The merit of this method is to express the laws of diffuse reflection and transmission for the planetary problem with a rough surface in terms of a scattering and a transmission function for the standard problem. Here the bottom surface is assumed to reflect light in accordance with the slope distribution given by Cox and Munk (1954). The results are discussed in terms of the optical properties and roughness of the bottom surface.

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