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Appl Opt. 2006 Aug 20;45(24):6241-54.

Unpolarized emissivity with shadow and multiple reflections from random rough surfaces with the geometric optics approximation: application to Gaussian sea surfaces in the infrared band.

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  • 1Institut de Recherche en Electrotechnique et Electronique de Nantes Atlantique, Ecoloe Polytechnique de l'université de Nantes, rue Christian Pauc, Boîte Postale 50609, 44306 nantes, Cedex 9, France.


The emissivity from a stationary random rough surface is derived by taking into account the multiple reflections and the shadowing effect. The model is applied to the ocean surface. The geometric optics approximation is assumed to be valid, which means that the rough surface is modeled as a collection of facets reflecting locally the light in the specular direction. In particular, the emissivity with zero, single, and double reflections are analytically calculated, and each contribution is studied numerically by considering a 1D sea surface observed in the near infrared band. The model is also compared with results computed from a Monte Carlo ray-tracing method.

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