Reflection and transmission by a vertically inhomogeneous planetary atmosphere

Physics – Optics

Scientific paper

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Albedo, Atmospheric Optics, Planetary Atmospheres, Transmissivity, Inhomogeneity, Vertical Distribution

Scientific paper

By using the reciprocity principle, it is shown that the plane albedo for a vertical inhomogenous atmosphere can be obtained from the angular distribution of the reflected intensity for isotropic illumination incident at the top of the atmosphere. The transmissivity is obtained from the angular distribution of the transmitted intensity for isotropic illumination of the bottom of the atmosphere. The relations obtained are used to extend Chandrasekhar's solution (1960) to an inhomogeneous atmosphere overlying a surface that reflects radiation anisotropically but independently of the direction of incidence. An explicit procedure is outlined for computing albedo and transmissivity for an inhomogeneous atmosphere. It is shown that the vertical variation of the single scattering albedo strongly affects the plane albedo, whereas the transmissivity depends primarily on the total absorption and is only weakly affected by the vertical structure of the inhomogeneity.

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