Title

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

Authors

Authors

J. E. Harvey; A. Krywonos;C. L. Vernold

Comments

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Abbreviated Journal Title

Opt. Eng.

Keywords

nonparaxial surface scattering; Beckmann-Kirchhoff surface scattering; theory; LIGHT-SCATTERING; MOON; RADIANCE; GRATINGS; FINISH; Optics

Abstract

Surface scattering effects are merely diffraction phenomena resulting from random phase variations induced on the reflected wave-front 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. (c) 2007 Society of Photo-Optical Instrumentation Engineers.

Journal Title

Optical Engineering

Volume

46

Issue/Number

7

Publication Date

1-1-2007

Document Type

Article

Language

English

First Page

10

WOS Identifier

WOS:000250200700044

ISSN

0091-3286

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