Modelling Reflection from Real Surfaces

Abstract

Modelling Reflection from Real Surfaces Alexander Basov 1, George Boos 1, Vladimir Budak 1 and Anton Grimailo 1 1 National Research University "Moscow Power Engineering Institute", Krasnokazarmennaya 17, Moscow, 111250, Russia Abstract The article is devoted to modelling the reflection of radiation from real surfaces. Most of the existing models consider only the near-surface processes, although in reality the processes occurring in the volume of the layer also have a fairly significant contribution to the final radiance. The authors propose a mathematical model that takes into account volume scattering. The model is based on the radiative transfer equation, the numerical solution of which makes it possible to find the reflection and transmission radiance factors. The paper describes the features of the implementation of the model in the case of a multilayer medium, a method is proposed that makes it possible to consider the effect of a randomly uneven surface. To validate the model, calculations of the radiance of the reflected radiation from the asphalt concrete pavement were carried out: for this, the corresponding parameters were selected that describe the optical properties of the medium. A comparison of the simulation results with the results of measuring the radiative characteristics of an asphalt concrete pavement sample was carried out, which showed that the model gives sufficiently reliable results not only qualitatively, but also quantitatively. The created model allows high-speed calculations of the radiative characteristics of various surfaces for different angles of incidence and observation, which can be used both in lighting calculations and in the formation of realistic images in computer graphics.