Abstract

The diffuse reflectance spectra and the trichromatic coordinates of diffusing stratified paints are modeled. Each layer contains its own pigments, and their optical properties are first determined from experiments. The radiative transfer equation is then solved by the auxiliary function method for modeling the total light scattered by the stratified systems. The results are in good agreement with experimental spectra and validate the modeling. The calculations are then applied on the same stratified systems to study the influence of the observation angle in a bidirectional configuration and to study the influence of the thickness of the layers in a given configuration. In both cases, the reflectance spectra and the trichromatic coordinates are calculated and compared.

© 2007 Optical Society of America

Skin color modeling using the radiative transfer equation solved by the auxiliary function method

Caroline Magnain, Mady Elias, and Jean-Marc Frigerio
J. Opt. Soc. Am. A 24(8) 2196-2205 (2007)

Skin color modeling using the radiative transfer equation solved by the auxiliary function method: inverse problem

Caroline Magnain, Mady Elias, and Jean-Marc Frigerio
J. Opt. Soc. Am. A 25(7) 1737-1743 (2008)

Radiative transfer in inhomogeneous stratified scattering media with use of the auxiliary function method

Mady Elias and Georges Elias
J. Opt. Soc. Am. A 21(4) 580-589 (2004)

Special visual effect of art glazes explained by the radiative transfer equation

Lionel Simonot, Mady Elias, and Eric Charron
Appl. Opt. 43(12) 2580-2587 (2004)

Comparison of the auxiliary function method and the discrete-ordinate method for solving the radiative transfer equation for light scattering

Anabela da Silva, Mady Elias, Christine Andraud, and Jacques Lafait
J. Opt. Soc. Am. A 20(12) 2321-2329 (2003)