The color of absorbing scattering substrates. I. The color of fabrics

Abstract

synopsisA treatment of the color of textile materials is proposed which is an extension of G. G. Stokes' "pile of plates" problem. Unlike the conventional treatment of this subject, e.g., that by Kubelka and Munk, this approach permits independent determination of all variables: coefficient of absorption of the dye, refractive indexes of the fibers, the effect on color of the geometry of the fabric and yarn, and the distribution of the dye within the fiber. Here, cylindrical, optically homogeneous fibers in a parallel array are assumed. Experimental data show that this treatment predicts far more satisfactorily the color of fabrics at high dye concentrations and low reflectance values than does the Kubelka-Munk approach.

Color prediction of absorbing-scattering fibers dyed with a colorant mixture

“…(1) is obtained by deSamples Preparation termining for each angle of incidence and for each Three samples of dyestuffs (Terasil red R, Disstep of refraction whether the general direction of perse yellow C-3G, and Novester blue CB2) were the flux is downward or upward. 4 prepared at definite concentrations. The dye powder was completely dissolved in a solution of 95 : 5% of acetone and glashian acetic acid.…”

“…sorbing-scattering fibers can be calculated by extending the model of prediction of the color of abwhere the subscript N refers to the 2n th layer of sorbing-scattering substrates 4 to the case of a dyed fabric. In order to determine R N in eq.…”

“…In this work, we propose a model based on the model of Allen and Goldfinger, 4 and its extension proposed by Sokkar et al, 6 to treat a polymer fiber dyed with a mixture of colorants. of incidence, a fraction s has its direction reversed, and a fraction a will be absorbed so that…”

“…Satisfactory prediction based on this duced as a result of the composition of a light treatment could not be obtained. radiation incident on it, the reflection or transmisIn 1972, Allen and Goldfinger 4 proposed a sion components making up the incident light demodel by which the color of dyed fabrics can be pendent on its wavelength. Color discrimination predicted using the properties of the geometry of and recognition problems occur in a wide variety the fabric, the distribution of the dye in the fiber, of industries, notably in the dying process of the and the refractive indices of the continuous metextile industry.…”

Modeling Light Reflection from Polyacrylonitrile Nanofiber

“…The geometric model permits to include the effect of the diameter and refractive index of fiber, the absorption coefficient of the fiber-dyes system on the color of the textile substrate. 10 …”