This paper provides a theoretical connection between two different mathematical models dedicated to the reflectance and the transmittance of diffusing layers. The Kubelka–Munk model proposes a continuous description of scattering and absorption for two opposite diffuse fluxes in a homogeneous layer (continuous two-flux model). On the other hand, Kubelka’s layering model describes the multiple r...

The high-frequency limit of the Garrett and Munk spectrum of internal waves in the ocean and the observed deviations from it are shown to form a pattern consistent with the predictions of wave turbulence theory. In particular, the high-frequency limit of the Garrett and Munk spectrum constitutes an exact steady-state solution of the corresponding kinetic equation.

Mn and Cu-doped Cr2O3 nanoparticles were prepared by the co-precipitation method followed calcination at 400 0 C for 3h. These synthesized characterized Fourier Transform Infrared spectroscopy (FTIR), X-ray Diffraction (XRD), Scanning electron microscope (SEM), Energy-dispersive spectroscopy, UV/Visible spectroscopy. SEM images showed irregular nearly spherical structure of Undoped doped respec...

Due to its simplicity, the theory of KUBELKA-MUNK [1] has found a wide acceptance for modeling the optical properties of light scattering materials. However, the concept is not explicitly adapted to predict halftone prints on paper. In this respect, a recent improvement was given by BERG [2]. Our approach is an extension of BERG’s model in order to reduce the gap between the mathematical descri...

Parmi les modèles de prédiction couleur courants, celui de Kubelka et Munk occupe une position centrale. En dépit de son caractère phénoménologique et de sa simplicité, il conduit à des résultats intéressants, et est toujours employé dans les systèmes d’aide à la formulation d’encres, de peintures et de teintures. Après un bref rappel du modèle, une nouvelle formulation mathématique basée sur u...