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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Stephen A. Burns
  • Vol. 23, Iss. 2 — Feb. 1, 2006
  • pp: 314–328

Coherence solution for bidirectional reflectance distributions of surfaces with wavelength-scale statistics

Brian G. Hoover and Victor L. Gamiz  »View Author Affiliations


JOSA A, Vol. 23, Issue 2, pp. 314-328 (2006)
http://dx.doi.org/10.1364/JOSAA.23.000314


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Abstract

The scalar bidirectional reflectance distribution function (BRDF) due to a perfectly conducting surface with roughness and autocorrelation width comparable with the illumination wavelength is derived from coherence theory on the assumption of a random reflective phase screen and an expansion valid for large effective roughness. A general quadratic expansion of the two-dimensional isotropic surface autocorrelation function near the origin yields representative Cauchy and Gaussian BRDF solutions and an intermediate general solution as the sum of an incoherent component and a nonspecular coherent component proportional to an integral of the plasma dispersion function in the complex plane. Plots illustrate agreement of the derived general solution with original bistatic BRDF data due to a machined aluminum surface, and comparisons are drawn with previously published data in the examination of variations with incident angle, roughness, illumination wavelength, and autocorrelation coefficients in the bistatic and monostatic geometries. The general quadratic autocorrelation expansion provides a BRDF solution that smoothly interpolates between the well-known results of the linear and parabolic approximations.

© 2006 Optical Society of America

OCIS Codes
(030.5770) Coherence and statistical optics : Roughness
(290.5880) Scattering : Scattering, rough surfaces

ToC Category:
Coherence and Statistical Optics

History
Original Manuscript: April 20, 2005
Revised Manuscript: July 18, 2005
Manuscript Accepted: August 8, 2005

Citation
Brian G. Hoover and Victor L. Gamiz, "Coherence solution for bidirectional reflectance distributions of surfaces with wavelength-scale statistics," J. Opt. Soc. Am. A 23, 314-328 (2006)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-23-2-314

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