Physical Optics, Diffractive Optics

Modified Beckmann-Kirchhoff scattering model for rough surfaces with large incident and scattering angles

[+] Author Affiliations
James E. Harvey

The University of Central Florida, The Center for Research and Education in Optics and Lasers (CREOL), P.O. Box 162700, 4000 Central Florida Boulevard, Orlando, Florida 32816

Andrey Krywonos

The University of Central Florida, The Center for Research and Education in Optics and Lasers (CREOL), P.O. Box 162700, 4000 Central Florida Boulevard, Orlando, Florida 32816

Cynthia L. Vernold

The University of Central Florida, The Center for Research and Education in Optics and Lasers (CREOL), P.O. Box 162700, 4000 Central Florida Boulevard, Orlando, Florida 32816

Opt. Eng. 46(7), 078002 (July 02, 2007). doi:10.1117/1.2752180
History: Received September 29, 2006; Revised January 05, 2007; Accepted January 08, 2007; Published July 02, 2007
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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.

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© 2007 Society of Photo-Optical Instrumentation Engineers

Citation

James E. Harvey ; Andrey Krywonos and Cynthia L. Vernold
"Modified Beckmann-Kirchhoff scattering model for rough surfaces with large incident and scattering angles", Opt. Eng. 46(7), 078002 (July 02, 2007). ; http://dx.doi.org/10.1117/1.2752180


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