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Optical Engineering

Modified Beckmann-Kirchhoff scattering model for rough surfaces with large incident and scattering angles
Author(s): James Harvey; Andrey Krywonos; Cynthia L. Vernold
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Paper Abstract

Surface scattering effects are merely diffraction phenomena resulting from random phase variations induced on the reflected wavefront by microtopographic surface features. The Rayleigh-Rice and Beckmann-Kirchhoff theories are commonly used to predict surface scattering behavior. However, the Rayleigh-Rice vector perturbation theory is limited to smooth surfaces, and the classical Beckmann-Kirchhoff theory contains a paraxial assumption that confines its applicability to small incident and scattering angles. The recent development of a linear systems formulation of nonparaxial scalar diffraction phenomena, indicating that diffracted radiance is a fundamental quantity predicted by scalar diffraction theory, has led to a reexamination of the classical Beckmann-Kirchhoff scattering theory. We demonstrate an empirically modified Beckmann-Kirchhoff scattering model that accurately predicts nonintuitive experimental scattering data for rough surfaces at large incident and large scattering angles, yet also agrees with Rayleigh-Rice predictions within their domain of applicability for smooth surfaces.

Paper Details

Date Published: 1 July 2007
PDF: 10 pages
Opt. Eng. 46(7) 078002 doi: 10.1117/1.2752180
Published in: Optical Engineering Volume 46, Issue 7
Show Author Affiliations
James Harvey, College of Optics & Photonics/Univ. of Central Florida (United States)
Andrey Krywonos, College of Optics & Photonics/Univ. of Central Florida (United States)
Cynthia L. Vernold, Optical Insights LLC (United States)

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