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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 16, Iss. 17 — Aug. 18, 2008
  • pp: 12892–12898

Analytical fitting model for rough-surface BRDF

Ingmar G. E. Renhorn and Glenn D. Boreman  »View Author Affiliations


Optics Express, Vol. 16, Issue 17, pp. 12892-12898 (2008)
http://dx.doi.org/10.1364/OE.16.012892


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Abstract

A physics-based model is developed for rough surface BRDF, taking into account angles of incidence and scattering, effective index, surface autocovariance, and correlation length. Shadowing is introduced on surface correlation length and reflectance. Separate terms are included for surface scatter, bulk scatter and retroreflection. Using the FindFit function in Mathematica, the functional form is fitted to BRDF measurements over a wide range of incident angles. The model has fourteen fitting parameters; once these are fixed, the model accurately describes scattering data over two orders of magnitude in BRDF without further adjustment. The resulting analytical model is convenient for numerical computations.

© 2008 Optical Society of America

OCIS Codes
(290.5880) Scattering : Scattering, rough surfaces
(290.1483) Scattering : BSDF, BRDF, and BTDF

ToC Category:
Scattering

History
Original Manuscript: July 7, 2008
Revised Manuscript: August 5, 2008
Manuscript Accepted: August 5, 2008
Published: August 8, 2008

Citation
Ingmar G. E. Renhorn and Glenn D. Boreman, "Analytical fitting model for rough-surface BRDF," Opt. Express 16, 12892-12898 (2008)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-16-17-12892


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