OSA's Digital Library

Virtual Journal for Biomedical Optics

Virtual Journal for Biomedical Optics

| EXPLORING THE INTERFACE OF LIGHT AND BIOMEDICINE

  • Editors: Andrew Dunn and Anthony Durkin
  • Vol. 6, Iss. 7 — Jul. 27, 2011

Relationship between the size distribution of mineral pigments and color saturation

Mady Elias  »View Author Affiliations


Applied Optics, Vol. 50, Issue 16, pp. 2464-2473 (2011)
http://dx.doi.org/10.1364/AO.50.002464


View Full Text Article

Enhanced HTML    Acrobat PDF (1130 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

The saturation and the lightness of hematite layers are quantitatively related to the size distribution of the pigments, when applied on skin or a perfect white substrate. The optical properties, reflectance spectra, and colorimetric coordinates are calculated from the complex refractive index of hematite and by use of the radiative transfer equation. Monodisperse pigments are investigated first and the maximum of saturation is calculated as a function of the pigment radius. Polydisperse pigments are then investigated with a log-normal size distribution. The maximum of saturation is then calculated as a function of the width of the pigment distribution, for different mean radii. This modeling can be extended to any mineral pigments.

© 2011 Optical Society of America

OCIS Codes
(160.4760) Materials : Optical properties
(290.4020) Scattering : Mie theory
(290.4210) Scattering : Multiple scattering
(290.5850) Scattering : Scattering, particles
(300.6250) Spectroscopy : Spectroscopy, condensed matter
(330.1730) Vision, color, and visual optics : Colorimetry

ToC Category:
Vision, Color, and Visual Optics

History
Original Manuscript: December 9, 2010
Revised Manuscript: March 11, 2011
Manuscript Accepted: March 11, 2011
Published: May 27, 2011

Virtual Issues
Vol. 6, Iss. 7 Virtual Journal for Biomedical Optics

Citation
Mady Elias, "Relationship between the size distribution of mineral pigments and color saturation," Appl. Opt. 50, 2464-2473 (2011)
http://www.opticsinfobase.org/vjbo/abstract.cfm?URI=ao-50-16-2464


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. G. Mie, “Beiträge zur Optik trüber Medien, speziell kolloidaler Metallösungen,” Ann. Phys. Leipzig 25, 377–445 (1908). [CrossRef]
  2. M. I. Mishchenko, L. D. Travis, and A. A. Lacis, Scattering, Absorption and Emission of Light by Small Particles(Cambridge University, 2002).
  3. V. E. Cachorro and A. M. De Frutos, “A revised study of the validity of the general junge relationship at solar wavelengths: Application to vertical atmospheric aerosol layer studies,” Atmos. Res. 39, 113–126 (1995). [CrossRef]
  4. O. Ulloa, S. Sathyendranath, and T. Platt, “Effect of the particle-size distribution on the backscattering ratio in seawater,” Appl. Opt. 33, 7070–7077 (1994). [CrossRef] [PubMed]
  5. P. Kippax, “Why particle sizing?,” Paint & Coatings Industry 0884-3848 (March 2005).
  6. P. Günthert, P. Hauser, and V. Radtke, “Effect of pigment particle size on application properties,” Review of Progress in Coloration and Related Topics 19, 41–48 (2008). [CrossRef]
  7. A. P. Pdshivalko, “Optimization of the covering power and coloristic properties of pigmented coatings on the basis of a four-flux approximation of radiative transfer theory,” J. Appl. Spectrosc. 63, 675–683 (1996). [CrossRef]
  8. S. Chandrasekhar, Radiative Transfer (Dover, 1960).
  9. 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]
  10. V. Goossens, J. Wielant, S. Van Gils, R. Finsy, H. Terryn, “Optical properties of thin oxide films on steel,” Surf. Interface Anal. 38, 489–493 (2006).
  11. M. Elias, C. Chartier, G. Prévot, and H. Garay, “Relationship between color and composition of ochres,” Mater. Sci. Engng. B 127, 70–80 (2006). [CrossRef]
  12. C. Magnain, M. Elias, and J. M. Frigerio, “Skin color modeling using the radiative transfer equation solved by the auxiliary function method,” J. Opt. Soc. Am. A 24, 2196–2205 (2007). [CrossRef]
  13. URL:http://www.atm.ox.ac.uk/code/mie/ (for the code Mie_single).
  14. M. Elias and M. Menu, “Characterization of surface states on patrimonial works of art,” Surf. Eng. 17, 225–229(2001). [CrossRef]
  15. G. Wyszecki and W. S. Stiles, Color Science: Concepts and Methods, Quantitative Data and Formulae (Wiley, 1982).
  16. G. Latour, M. Elias, and J. M. Frigerio, “Determination of the absorption and scattering coefficients of pigments,” Appl. Spectrosc. 63, 604–610 (2009). [CrossRef] [PubMed]
  17. D. Duncan, “The colour of pigment mixtures,” J. Oil Colour Chem. Assoc. 32, 296 (1949).

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited