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Applied Optics

Applied Optics


  • Editor: James C. Wyant
  • Vol. 45, Iss. 13 — May. 1, 2006
  • pp: 3163–3172

Separation between the different fluxes scattered by art glazes: explanation of the special color saturation

Mady Elias and Lionel Simonot  »View Author Affiliations

Applied Optics, Vol. 45, Issue 13, pp. 3163-3172 (2006)

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In a previous paper, the special visual appearance of art glazes was explained using the auxiliary function method (AFM) for solving the radiative transfer equation. Glazes are made of low concentrated colored scattering centers embedded in a transparent medium and the artist modulates the color by varying the number of glaze layers. A simple model of glazes and the new solving method have both been validated by comparison between flux measurements and modeling. The color of art glazes is analyzed here, and the study shows a spectacular maximum of saturation (purity) of the color that is never reached, to the best of our knowledge, with other techniques, such as pigment mixtures. This phenomenon is explained once more using the AFM that allows separation of the different contributions to the scattered fluxes. It is then shown that, on the one hand, single scattering never induces a maximum of saturation. On the other hand, multiple scattering has a typical increasing and decreasing behavior with an increasing number of glaze layers and thus participates to the maximum of saturation, just as the scattering by the diffuse base layer. A comparison between glazes and pigment mixtures, where the proportion of colored pigments with white pigments varies instead of the number of layers, shows that this maximum of saturation is much smaller with the second technique. To the best of our knowledge, we present a new development of the AFM that allows separation of the different origins of light scattering. We also show that it is possible to determine the optical properties of the scattering centers and of the base layer to create the required visual effect of a scattering medium.

© 2006 Optical Society of America

OCIS Codes
(030.5620) Coherence and statistical optics : Radiative transfer
(290.4210) Scattering : Multiple scattering
(300.6550) Spectroscopy : Spectroscopy, visible
(330.1690) Vision, color, and visual optics : Color

ToC Category:

Original Manuscript: July 20, 2005
Manuscript Accepted: September 20, 2005

Virtual Issues
Vol. 1, Iss. 6 Virtual Journal for Biomedical Optics

Mady Elias and Lionel Simonot, "Separation between the different fluxes scattered by art glazes: explanation of the special color saturation," Appl. Opt. 45, 3163-3172 (2006)

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  1. M. Elias and G. Elias, "New and fast calculation for incoherent multiple scattering," J. Opt. Soc. Am. A 19, 894-905 (2002). [CrossRef]
  2. M. Elias and G. Elias, "Radiative transfer in inhomogeneous stratified media using the auxiliary function method," J. Opt. Soc. Am. A 21, 580-589 (2004). [CrossRef]
  3. L. Simonot, M. Elias, and E. Charron, "Special visual effect of art glazes explained by the radiative transfer equation," Appl. Opt. 43, 2580-2587 (2004). [CrossRef] [PubMed]
  4. P. Kubelka and F. Munk, "Ein Beitrag zur Optik der Farbanstriche," Z. Tech. Phys. 12, 593-601 (1931).
  5. Z. C. Orel, M. K. Gunde, and B. Orel, "Application of the Kubelka-Munk theory for the determination of the optical properties of solar absorbing," Prog. Organ. Coatings , 30, 59-66 (1997). [CrossRef]
  6. B. Maheu, N. Letouzan, and G. Gouesbet, "Four-flux models to solve the scattering transfer equation in terms of Lorenz-Mie parameters," Appl. Opt. 23, 3353-3362 (1984). [CrossRef] [PubMed]
  7. P. S. Mudgett and L. W. Richards, "Multiple scattering calculations for technology," Appl. Opt. 10, 1485-1502 (1971). [CrossRef] [PubMed]
  8. K. Stamnes, S. Chee Tsay, W. Wiscombe, and K. Jayaweera, "Numerically stable algorithm for discrete-ordinate-method radiative transfer in multiple scattering and emitting layer media," Appl. Opt. 27, 2502-2510 (1988). [CrossRef] [PubMed]
  9. L. Simonot, A. Zobelli, M. Elias, J. Salomon, and J. C. Dran, "Pigment distribution in art glazes," J. Trace Microprobe Techn. 21, 35-48 (2003). [CrossRef]
  10. D. R. Duncan, "The colour of pigment mixtures," Proc. Phys. Soc. 52, 390-400 (1940). [CrossRef]
  11. M. Elias and M. Menu, "Characterization of surface states on patrimonial works of art," Surf. Eng. 17, 225-229 (2001). [CrossRef]
  12. A. da Silva, M. Elias, C. Andraud, and J. Lafait, "Comparison between the auxiliary function method and the discrete-ordinate-method for solving the radiative transfer equation for light scattering," J. Opt. Soc. Am. A 20, 2321-2329 (2003). [CrossRef]
  13. G. Wyszecki and W. S. Stiles, Color science: Concepts and Methods, Quantitative Data and Formulae, 2nd ed. (Wiley Interscience, 1982).

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