Mathematical Modelling in Light and Engineering Education

Abstract

The development of computer technology and mathematical methods for solving the global illumination equation gave rise to computer-aided lighting design systems, which in turn led to a genuine revolution in the practice of lighting design. Deep use of information technologies is possible only with a developed mathematical description of the light field in a lighting installation. It is the theory of the light field, based on the theory of radiation transfer, that allows us to present all lighting technology from a single conceptual point of view. The mathematical apparatus of the theory of the light field is the basis of the algorithms of all modern programs for the calculation of lighting installations, lighting devices, radiation, reflection, and transmission of light by real objects. As a result, there was a need for a significant change in light and engineering education. At the subdepartment of Light and Engineering of the NRU “MEI”, following modern trends, new and new courses have appeared and are appearing, allowing students to obtain relevant knowledge. One of the new courses planned at the subdepartment is a course of mathematical modelling in light and engineering. It involves an in-depth study of the internal structure of computer-aided design systems, which will allow obtaining specialists capable of solving non-standard tasks, creating funds for solving these tasks and conducting research.