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Virtual Journal for Biomedical Optics

Virtual Journal for Biomedical Optics


  • Editors: Andrew Dunn and Anthony Durkin
  • Vol. 7, Iss. 7 — Jun. 25, 2012

Seven-parameter statistical model for BRDF in the UV band

Lu Bai, Zhensen Wu, Xiren Zou, and Yunhua Cao  »View Author Affiliations

Optics Express, Vol. 20, Issue 11, pp. 12085-12094 (2012)

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A new semi-empirical seven-parameter BRDF model is developed in the UV band using experimentally measured data. The model is based on the five-parameter model of Wu and the fourteen-parameter model of Renhorn and Boreman. Surface scatter, bulk scatter and retro-reflection scatter are considered. An optimizing modeling method, the artificial immune network genetic algorithm, is used to fit the BRDF measurement data over a wide range of incident angles. The calculation time and accuracy of the five- and seven-parameter models are compared. After fixing the seven parameters, the model can well describe scattering data in the UV band.

© 2012 OSA

OCIS Codes
(290.5820) Scattering : Scattering measurements
(290.5880) Scattering : Scattering, rough surfaces
(290.1483) Scattering : BSDF, BRDF, and BTDF

ToC Category:

Original Manuscript: March 30, 2012
Revised Manuscript: April 24, 2012
Manuscript Accepted: May 4, 2012
Published: May 11, 2012

Virtual Issues
Vol. 7, Iss. 7 Virtual Journal for Biomedical Optics

Lu Bai, Zhensen Wu, Xiren Zou, and Yunhua Cao, "Seven-parameter statistical model for BRDF in the UV band," Opt. Express 20, 12085-12094 (2012)

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  1. C. Lavigne, G. Durand, and A. Roblin, “Ultraviolet light propagation under low visibility atmospheric conditions and its application to aircraft landing aid,” Appl. Opt.45(36), 9140–9150 (2006). [CrossRef] [PubMed]
  2. M. A. Velazco-Roa and S. N. Thennadil, “Estimation of complex refractive index of polydisperse particulate systems from multiple-scattered ultraviolet-visible-near-infrared measurements,” Appl. Opt.46(18), 3730–3735 (2007). [CrossRef] [PubMed]
  3. M. Minnaert, “The reciprocity principle of linear photometry,” Astrophys. J.93, 403–410 (1941). [CrossRef]
  4. J. Stover, Optical Scattering, Measurement and Analysis (SPIE Press, 1995).
  5. C. L. Walthall, J. M. Norman, J. M. Welles, G. Campbell, and B. L. Blad, “Simple equation to approximate the bidirectional reflectance from vegetative canopies and bare soil surfaces,” Appl. Opt.24(3), 383–387 (1985). [CrossRef] [PubMed]
  6. P. Beckman and A. Spizzichino, The Scattering of Electromagnetic Waves from Rough Surfaces (Pergamon, 1963).
  7. J. L. Roujean, M. Leroy, and P. Y. Deschamps, “A bidirectional reflectance model of the earth’s surface for the correction of remote sensing data,” J. Geophys. Res.97(20), 455–468 (1992).
  8. X. Li and A. H. Strahler, “Geometric-optical bidirectional reflectance modeling of the discrete crown vegetation canopy: effect of crown shape and mutual shadowing,” IEEE Trans. Geosci. Rem. Sens.30(2), 276–292 (1992). [CrossRef]
  9. I. G. E. Renhorn and G. D. Boreman, “Analytical fitting model for rough-surface BRDF,” Opt. Express16(17), 12892–12898 (2008). [CrossRef] [PubMed]
  10. K. E. Torrance and E. M. Sparrow, “Theory for off-specular reflection from roughened surfaces,” J. Opt. Soc. Am.57(9), 1105–1114 (1967). [CrossRef]
  11. Z. S. Wu, D. H. Xie, P. H. Xie, and Q. N. Wei, “Modeling reflectance function from rough surface and algorithms,” Acta Opt. Sin.22, 897–901 (2002).
  12. K. J. Dana, B. van Ginneken, S. K. Nayar, and J. J. Koenderink, “Reflectance and texture of real-world surfaces,” ACM Trans. Graph.18(1), 1–34 (1999). [CrossRef]
  13. Y. Barnes and J. J. Hsia, “UV bidirectional reflectance distribution function measurements for diffusers,” Proc. SPIE1764, 285–288 (1993). [CrossRef]
  14. M. P. Newell, L. A. Whitlock, and R. A. M. Keski-Kuha, “Extreme ultraviolet scatter from particulate contaminated mirrors,” Proc. SPIE2541, 174–185 (1995). [CrossRef]
  15. M. P. Newell and R. A. M. Keski-Kuha, “Bidirectional reflectance distribution function of diffuse extreme ultraviolet scatterers and extreme ultraviolet baffle materials,” Appl. Opt.36(22), 5471–5475 (1997). [CrossRef] [PubMed]
  16. T. Zurbuchen, P. Bochsler, and F. Scholze, “Reflection of ultraviolet light at 121.6 nm from rough surfaces,” Opt. Eng.34(5), 1303–1315 (1995). [CrossRef]
  17. M. P. Newell and R. A. M. Keski-Kuha, “Extreme ultraviolet BRDF measurements: instrumentation and results,” Proc. SPIE2864, 453–464 (1996). [CrossRef]
  18. C. Amra, “Light scattering from multilayer optics. I. Tools of investigation,” J. Opt. Soc. Am. A11(1), 197–210 (1994). [CrossRef]
  19. C. Amra, “Light scattering from multilayer optics. II. Application to experiment,” J. Opt. Soc. Am. A11(1), 211–226 (1994). [CrossRef]
  20. C. Amra, “From light scattering to the microstructure of thin-film multilayers,” Appl. Opt.32(28), 5481–5491 (1993). [CrossRef] [PubMed]
  21. J. M. Elson, J. P. Rahn, and J. M. Bennett, “Light scattering from multilayer optics: comparison of theory and experiment,” Appl. Opt.19(5), 669–679 (1980). [CrossRef] [PubMed]
  22. C. Amra, C. Grèzes-Besset, and L. Bruel, “Comparison of surface and bulk scattering in optical multilayers,” Appl. Opt.32(28), 5492–5503 (1993). [CrossRef] [PubMed]
  23. H. L. Zhang, Z. S. Wu, Y. H. Cao, and G. Zhang, “Measurement and statistical modeling of BRDF of various samples,” Opt. Appl.40, 197–208 (2010).

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