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Virtual Journal for Biomedical Optics

Virtual Journal for Biomedical Optics


  • 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)

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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

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

Mady Elias, "Relationship between the size distribution of mineral pigments and color saturation," Appl. Opt. 50, 2464-2473 (2011)

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