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

James Harvey; Andrey Krywonos; Cynthia L. Vernold

doi:10.1117/1.2752180

1 July 2007 Modified Beckmann-Kirchhoff scattering model for rough surfaces with large incident and scattering angles

James Harvey; Andrey Krywonos; Cynthia L. Vernold

Author Affiliations +

Optical Engineering, 46(7), 078002 (2007). https://doi.org/10.1117/1.2752180

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.

Citation Download Citation

James Harvey, James Harvey, Andrey Krywonos, Andrey Krywonos, Cynthia L. Vernold, Cynthia L. Vernold, } "Modified Beckmann-Kirchhoff scattering model for rough surfaces with large incident and scattering angles," Optical Engineering 46(7), 078002 (1 July 2007). https://doi.org/10.1117/1.2752180 . Submission:

ACCESS THE FULL ARTICLE

PERSONAL SIGN IN
Full access may be available with your subscription

Email or Username Forgot your username?

Password Forgot your password?

Show

Remember Email/Username on this computer

Remember Password

No SPIE account? Create an account
or Institutional Sign In via Shibboleth

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available

Members: $20.00

Non-members: $25.00 ADD TO CART

Show All Keywords

Keywords/Phrases

Search In:

Publication Years