Statistical ray method for deriving reflection models of rough surfaces
- 14 February 2007
- journal article
- research article
- Published by Optica Publishing Group in Journal of the Optical Society of America A
- Vol. 24 (3), 724-744
- https://doi.org/10.1364/josaa.24.000724
Abstract
A statistical ray method is developed for deriving reflection models of rough surfaces. Using this method, we derive generic equations of reflection due to single scattering. We have studied an isotropic surface with Gaussian statistics, and the derived bidirectional reflectance distribution function is found with four distinct regimes, namely, mirror reflection, grazing reflection, retroreflection, and normal reflection. An explicit form of self-shadowing for a surface with Gaussian statistics is also derived, and the result agrees well with computer simulation. Our solution is useful to describe the entire reflection of a highly or moderately smooth surface and offers a basis for studying multiple scattering. While focusing on optical reflection, the approach also applies to other waves if the assumptions are satisfied.Keywords
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