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Applied Optics

Applied Optics


  • Editor: Joseph N. Mait
  • Vol. 52, Iss. 18 — Jun. 20, 2013
  • pp: 4083–4090

Determination of the bulk scattering parameters of diffusing materials

Sven Leyre, Frédéric B. Leloup, Jan Audenaert, Guy Durinck, Johan Hofkens, Geert Deconinck, and Peter Hanselaer  »View Author Affiliations

Applied Optics, Vol. 52, Issue 18, pp. 4083-4090 (2013)

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Diffusors are widely used optical components having numerous applications. They are commonly used to homogenize light beams and to create particular intensity distributions. The angular scattering profile of bulk scattering diffusing materials is determined by three bulk scattering parameters that are, however, not commonly available. This hampers an accurate implementation of bulk diffusors in ray tracing simulations. In this paper, the bulk scattering parameters of a concentration series of milk diluted with water were determined with the inverse adding–doubling method. Using these values as input, the macroscopic angular scattering profile was simulated using ray tracing software. The simulation results were compared to experimental data, and a good agreement between measured and simulated data was found. The method was also proven to be successful when applied to commercial diffusors.

© 2013 Optical Society of America

OCIS Codes
(290.4210) Scattering : Multiple scattering
(290.5820) Scattering : Scattering measurements
(290.1483) Scattering : BSDF, BRDF, and BTDF

ToC Category:

Original Manuscript: February 25, 2013
Revised Manuscript: May 16, 2013
Manuscript Accepted: May 17, 2013
Published: June 12, 2013

Virtual Issues
Vol. 8, Iss. 7 Virtual Journal for Biomedical Optics

Sven Leyre, Frédéric B. Leloup, Jan Audenaert, Guy Durinck, Johan Hofkens, Geert Deconinck, and Peter Hanselaer, "Determination of the bulk scattering parameters of diffusing materials," Appl. Opt. 52, 4083-4090 (2013)

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  1. Z. Sun, J. Chang, N. Zhao, W. Jin, and Y. Wang, “Research of diffusing plates for LCD backlights,” Optik 121, 760–764 (2010). [CrossRef]
  2. J.-H. Wang, S.-Y. Lien, J.-R. Ho, T.-K. Shih, C.-F. Chen, C.-C. Chen, and W.-T. Whang, “Optical diffusers based on silicone emulsions,” Opt. Mater. 32, 374–377 (2009). [CrossRef]
  3. C.-C. Sun, W.-T. Chien, I. Moreno, C.-T. Hsieh, M.-C. Lin, S.-L. Hsiao, and X.-H. Lee, “Calculating model of light transmission efficiency of diffusers attached to a lighting cavity,” Opt. Express 18, 6137–6148 (2010). [CrossRef]
  4. F. E. Nicodemus, J. C. Richmond, J. J. Hsia, I. W. Ginsberg, and T. Limperis, “Geometrical considerations and nomenclature for reflectance,” Final Report (National Bureau of Standards, 1977).
  5. F. B. Leloup, S. Forment, P. Dutré, M. Pointer, and P. Hanselaer, “Design of an instrument for measuring the spectral bidirectional scatter distribution function,” Appl. Opt. 47, 5454–5467 (2008).
  6. C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, 1983).
  7. J. F. Beek, P. Blokland, P. Posthumus, M. Aalders, J. W. Pickering, H. J. C. M. Sterenborg, and M. J. C. van Gemert, “In vitro double-integrating-sphere optical properties of tissues between 630 and 1064 nm,” Phys. Med. Biol. 42, 2255–2261 (1997). [CrossRef]
  8. J. W. Pickering, S. A. Prahl, N. van Wieringen, J. F. Beek, H. J. C. M. Sterenborg, and M. J. C. van Gemert, “Double-integrating-sphere system for measuring the optical properties of tissue,” Appl. Opt. 32, 399–410 (1993). [CrossRef]
  9. A. Kienle, M. S. Patterson, L. Ott, and R. Steiner, “Determination of the scattering coefficient and the anisotropy factor from laser Doppler spectra of liquids including blood,” Appl. Opt. 35, 3404–3412 (1996). [CrossRef]
  10. P. Minnis, K.-N. Liou, and Y. Takano, “Inference of cirrus cloud properties using satellite observed visible and infrared radiances. Part I: parameterization of radiance fields,” J. Atmos. Sci. 50, 1279–1304 (1993). [CrossRef]
  11. W. Saeys, M. A. Velazco-Roa, S. N. Thennadil, H. Ramon, and B. M. Nicolaï, “Optical properties of apple skin and flesh in the wavelength range from 350 to 2200 nm,” Appl. Opt. 47, 908–919 (2008). [CrossRef]
  12. S. A. Prahl, M. J. C. van Gemert, and A. J. Welch, “Determining the optical properties of turbid media by using the adding–doubling method,” Appl. Opt. 32, 559–568 (1993). [CrossRef]
  13. R. Zhang, W. Verkruysse, B. Choi, J. A. Viator, B. Jung, L. O. Svaasand, G. Aguilar, and J. S. Nelson, “Determination of human skin optical properties from spectrophotometric measurements based on optimization by genetic algorithms,” J. Biomed. Opt. 10, 024030 (2005). [CrossRef]
  14. H. Karlsson, I. Fredriksson, M. Larsson, and T. Strömberg, “Inverse Monte Carlo for estimation of scattering and absorption in liquid optical phantoms,” Opt. Express 20, 12233–12246 (2012). [CrossRef]
  15. G. G. Stokes, “On the intensity of the light reflected from or transmitted through a pile of plates,” Proc. R. Soc. Lond. 11, 545–556 (1860). [CrossRef]
  16. W. J. Wiscombe, “On initialization, error and flux conservation in the doubling method,” J. Quant. Spectrosc. Radiat. Transfer 16, 637–658 (1976). [CrossRef]
  17. J. E. Hansen, “Radiative transfer by doubling very thin layers,” Astrophys. J. 155, 565–573 (1969). [CrossRef]
  18. L. G. Henyey and J. L. Greenstein, “Diffuse radiation in the galaxy,” Astrophys. J. 93, 70–83 (1941). [CrossRef]
  19. G. Yoon, S. A. Prahl, and A. J. Welch, “Accuracies of the diffusion approximation and its similarity relations for laser irradiated biological media,” Appl. Opt. 28, 2250–2255 (1989). [CrossRef]
  20. C.-C. Sun, T.-X. Lee, S.-H. Ma, Y.-L. Lee, and S.-M. Huang, “Precise optical modeling for LED lighting verified by cross correlation in the midfield region,” Opt. Lett. 31, 2193–2195 (2006). [CrossRef]
  21. I. Moreno and C.-C. Sun, “Modeling the radiation pattern of LEDs,” Opt. Express 16, 1808–1819 (2008). [CrossRef]

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