Abstract
A polarimetric bidirectional reflectance distribution function (pBRDF), based on geometrical optics, is presented. The pBRDF incorporates a visibility (shadowing/masking) function and a Lambertian (diffuse) component which distinguishes it from other geometrical optics pBRDFs in literature. It is shown that these additions keep the pBRDF bounded (and thus a more realistic physical model) as the angle of incidence or observation approaches grazing and better able to model the behavior of light scattered from rough, reflective surfaces. In this paper, the theoretical development of the pBRDF is shown and discussed. Simulation results of a rough, perfect reflecting surface obtained using an exact, electromagnetic solution and experimental Mueller matrix results of two, rough metallic samples are presented to validate the pBRDF.
Highlights
Rough surface scattering has been an active area of research for nearly half a century
The results shown here are sufficient to demonstrate the validity of the polarimetric bidirectional reflectance distribution function (pBRDF)
The pBRDF is composed of a specular component and a diffuse component
Summary
Rough surface scattering has been an active area of research for nearly half a century. Since Torrance and Sparrow, numerous geometrical optics BRDFs have been developed These include BRDFs specialized to predict IR signatures of aircraft [21], full polarimetric geometrical optics BRDFs [22,23,24,25,26] , and BRDFs derived to predict scatter from multilayer coatings [27]. Both types of analytical BRDFs discussed here require the surface roughness features to be several times larger than the wavelength of the incident light.
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