Luminance Factor Modelling For An Arbitrary Surface L&E, Vol.30, No.2, 2022
Articles authors:
Alexander Yu. Basov, George V. Boos, Vladimir P. Budak, Anton V. Grimailo
Alexander Yu. Basov is postgraduate student of Lighting Engineering Department at NRU MPEI. He is Editor-in-Chief of the Journal Svetotekhnika for Children and their Parents. His scientific interests are radiative transfer and road lighting
George V. Boos, Ph. D. and Member of the Russian Academy of Natural Sciences. In 1986, he graduated from the Moscow Power Engineering Institute (MPEI). At present, he is the President of MSK BL GROUP, Head of the Light and Engineering subdepartment of NRU MPEI. He is Recipient of the State Prize of the Russian Federation for Architectural Lighting of Moscow, the Chairman of the Science and Engineering Board Svetotekhnika and of the editorial board of the Svetotekhnika/Light & Engineering Journal
Vladimir P. Budak, Doctor of Technical Sciences, Professor. He graduated from MPEI in 1981. Currently he is Editorin-Chief of Svetoekhnika / Light & Engineering Journals, Professor of Light and Engineering Department at NRU MPEI, and Corresponding member of Russian Academy of Electrotechnical Sciences
Anton V. Grimailo, Ph. D. in Engineering. He graduated from the National Research University MPEI in 2020. At present he is the software engineer at MSC BL GROUP
Abstract:
Reflection characteristics of asphalt pavements play one of the key roles in road lighting, as luminance is normalized and multiple reflections are absent. The values of the luminance factors of road surfaces can be found by carrying out measurements, but this is not always possible, since it requires the extraction of samples, or is laborious. Therefore, in this article it is proposed to model the spatialangular characteristics of reflection. The developed models (analytical and statistical) allow finding luminance factors for arbitrary angles of incidence and sighting. The models are based on a scattering planeparallel layer. The following optical properties of the medium serve as input data: single scattering albedo, optical thickness, phase function of the particles inside the layer. To validate the models, a comparison was made with the measurement results.
References:
1. Maghe, L. Characterization of Road Surfaces using a Mobile Gonioreflectometer // CIE International Symposium on Road Surface Photometric Characteristics, 2008, 16 p. 2. Adams, M.L., Larsen, E.W. Fast iterative methods for discreteordinates particle transport calculations // Progress in Nuclear Energy, 2002, Vol. 40(1), pp. 3-159. 3. Budak, V.P., Klyukov, D.A., Korkin, S.V. Convergence acceleration of radiative transfer equation solution at strongly anisotropic scattering // Light Scattering Reviews 5. Single Light Scattering and Radiative Transfer, 2010, pp. 147-204. 4. Fryer, G.J., Frazer, L.N. Seismic waves in stratified anisotropic media // Geophys. J.R. Astr. Soc., 1984, Vol. 78, pp. 691-698. 5. Basov, A.Y. Development of a gonioreflectometer for measuring reflective properties of road surfaces // Master thesis, 2017, 74 p. 6. Budak, V.P., Grimailo, A.V. Light reflection from real surfaces: Probabilistic model of the layer radiance factor // CEUR Workshop Proceedings, 2020, 2744. 7. Basov, A.Y., Boos, G.V., Budak, V.P., Grimailo, A.V. Numericalanalytical model of the luminance factor of an arbitrary surface // Proceedings of the Conference CIE2021, OP54, p. 423-430.
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