22 October 2002 Anisotropic scatter behaviour of fiber-containing surfaces analyzed by 3D-BRDF measurements and simulations
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Recent studies have shown that the angular distribution of diffuse reflectance differs strongly between paper sheets with and without fibers present in the top surface layer. For fiber-containing surfaces, in contrast to pigment coated paper surfaces, there is a distinct forward scattering at angles much larger than the specular reflection angle. We have studied how this pronounced anisotropic reflectance distribution in the forward direction can be interpreted in terms of the internal structure of the fibers. We did this by comparing experimental BRDF measurements to Monte-Carlo simulations on a fiber web within the limits of geometrical optics. It was found that the 3rd reflection event, mainly corresponding to the first reflection from the fiber lumen, played a large role for the characteristic anisotropic reflectance distribution from fiber-containing surfaces. We also found that multiple reflections within a sheet tend to favor certain polar exit angles in such a way that the resulting distribution ends up anisotropic even after many reflections.
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Hjalmar Granberg, Hjalmar Granberg, Jon Jensen, Jon Jensen, Lars H. Mattsson, Lars H. Mattsson, } "Anisotropic scatter behaviour of fiber-containing surfaces analyzed by 3D-BRDF measurements and simulations", Proc. SPIE 4780, Surface Scattering and Diffraction for Advanced Metrology II, (22 October 2002); doi: 10.1117/12.458870; https://doi.org/10.1117/12.458870

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