We present the first modeling of the light scattered by a paint layer in a bidirectional configuration. The studied medium is composed of small concentrated pigments embedded in an oil binder. The color is modulated by changing the number of paint layers, called glazes. The radiative transfer equation is established for incoherent light scattered by the pigments with use of a collimated illumination. The equation is solved by use of the auxiliary function method. This new method, applied here for the first time to a practical case, allows for exact computations of the scattered flux for any incident and collected directions. Spectroscopic and goniometric measurements are implemented in bidirectional and backscattered configurations. The excellent agreement between the measurement and the simulation validates the assumptions used for the glaze model and proves the effectiveness of the auxiliary function method.
© 2004 Optical Society of America
(030.5620) Coherence and statistical optics : Radiative transfer
(290.4210) Scattering : Multiple scattering
(290.5820) Scattering : Scattering measurements
(300.6550) Spectroscopy : Spectroscopy, visible
Lionel Simonot, Mady Elias, and Eric Charron, "Special Visual Effect of Art Glazes Explained by the Radiative Transfer Equation," Appl. Opt. 43, 2580-2587 (2004)