Abstract
The problem of a plane parallel atmosphere bounded below by a reflecting surface is considered. It is well known that when that surface reflects isotropically, the radiation distribution emerging from the top of the atmosphere may be expressed in terms of the scattering and transmission functions of that atmosphere. For more general non-Lambertian surfaces this is not usually the case. However, it will be shown that for a certain class of surfaces this can still be done, and the problem reduced to evaluating certain integrals; the integrands of which are the product of ground reflectance terms and either the scattering or transmission functions of the atmosphere. The models described in this note were derived in order to provide “closed form” solutions with which to validate coupled atmospheric-surface radiation code, but they have a certain intrinsic interest beyond that, and may find application in sensitivity studies of retrieval algorithms for data from multi-view satellite instruments.
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