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Proceedings Paper

Extension of Chandrasekhar's formula to a homogeneous non-Lambertian surface and comparison with the 6S formulation
Author(s): Alain Sei
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Paper Abstract

The classical Chandrasekhar's formula relating the surface reflectance to the top of the atmosphere radiance rigorously applies to a Lambertian surface. For a homogeneous non Lambertian surface in a plane parallel atmosphere, an extension of this formula has been proposed in the work of Tanre and has been implemented in the 6S algorithm. To analyze this extension, this paper derives the rigorous formula of the top of the atmosphere signal in a plane parallel atmosphere bounded by an homogeneous non Lambertian surface. Then this formula is compared to the 6S algorithm extension and approximations used and their validity are pointed out. The methods used for this rigorous derivation are classical. They are based on the systematic separation of direct and diffuse components of the radiation fields, on the introduction of the Green's function of the problem and on convolutions of boundary values of the radiation fields with the Green's function.

Paper Details

Date Published: 17 October 2007
PDF: 13 pages
Proc. SPIE 6745, Remote Sensing of Clouds and the Atmosphere XII, 67451E (17 October 2007); doi: 10.1117/12.736082
Show Author Affiliations
Alain Sei, Northrop Grumman Space Technology (United States)

Published in SPIE Proceedings Vol. 6745:
Remote Sensing of Clouds and the Atmosphere XII
Adolfo Comerón; Richard H. Picard; Klaus Schäfer; James R. Slusser; Aldo Amodeo, Editor(s)

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