Calculation of emittance of a coating layer with the Kubelka-Munk theory and the Mie-scattering model

The radiative transfer equation in a coating layer with a not too high concentration of pigment particles, which is attached to a substrate, is resolved in terms of Kubelka-Munk theory and a Mie-scattering model. In the case of a coating layer constituted with aluminum spherical particles, the dependence of emittance of the coating layer on particle radius and thickness of the layer are studied. The optimum radius of a pigment particle is suggested as well.