<title>Ink penetration and its effects on printing</title>

Abstract

A theoretical approach describing the effect of ink penetration on the reflectance of the printed image is presented in this paper. Three different models with respect to the density of penetrating ink, constant, linear and exponential distribution, are studied. In addition to the constant model whose differential equations of light propagation can be solved analytically, series solutions corresponding to the linear and exponential models have been worked out. Generally good convergence of the series expansions has been found from simulation. It has been found that to a certain amount printed ink commanded by a printer, the printed image with ink penetration has bigger reflectance than that without ink penetration. Consequently, the range of color reproduction (color gamut) of printed image is reduced due to ink penetration.