Content
Number of images - 1
Tables and charts - 0
Mathematical Modelling in Light and Engineering Education L&E, Vol.31, No.6, 2023

Light & Engineering 31 (6)

Volume 31
Date of publication 12/13/2023
Pages 22–28

Purchase PDF - ₽450

Mathematical Modelling in Light and Engineering Education L&E, Vol.31, No.6, 2023
Articles authors:
Vladimir P. Budak, Viktor S. Zheltov

Vladimir P. Budak, Professor, Doctor of Technical Sciences. In 1981, he graduated from the Moscow Power Engineering Institute (MPEI). At present, he is the Editor-in-Chief of the Svetotekhnika / Light & Engineering journals, Professor of the Subdepartment of Light and Engineering in NRU “MPEI”. Full member of the Academy of Electrotechnical Sciences of Russia

Viktor S. Zheltov, Doctor of Technical Sciences, Associate Professor. Graduated in 2005 from the Subdepartment of Light and Engineering of NRU “MPEI”. Associate Professor of the subdepartment of Light and Engineering of NRU “MPEI”

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.
References:
1. Barnatt, C. The Second Digital Revolution // Journal of General Management, 2001, Vol. 27, # 2, pp. 1–16.
2. Rindfleisch, A. The Second Digital Revolution // Marketing Letters, 2020, Vol. 31, # 1, pp. 13–17.
3. International Year of Light and Light Technologies in 2015 [Electronic resource]: Resolution adopted by the UN General Assembly on December 20, 2013 // The official Internet portal of the organizing committee of the Year of Light in 2015. URL: https://www.light2015.org/dam/About/Resources/Resolution/IYL_Resolution_RU.pdf (accessed: 01.08.2022).
4. Bass, М. (ed.) Handbook of optics / N.-Y.: McGraw-Hill, 2010, Vol. 5, 436 p.
5. Rozenberg, G.V. The light ray (contribution to the theory of the light field) // Sov. Phys. Usp., 1977, Vol. 20, # 1, pp. 55–80.
6. Apresyan, L.A., Kravtsov, Yu.A. Radiation Transfer: Statistical and Wave Aspects / Boca Raton, FL, USA: CRC Press, 1996, 272 p.
7. Kajiya, J.T. The rendering equation // Computer Graphics (Proc. SIGGRAPH’86), 1986, Vol. 20, # 4, pp. 143–150.
8. Budak, V.P., Mukhanov, P.V. Optimization of the parabolic reflector profile for a given luminous intensity curve [Optimizaciya profilya parabolicheskogo otrazhatelya pod zadannuyu krivuyu sily sveta] // Bulletin of the MPEI, 2010, # 1, pp. 84–88.
9. Karyakin, N.A. Lighting devices [Svetovye pribory] / Moscow: Vysshaya shkola, 1975, 335 p.
10. Meshkov, V.V., Epaneshnikov, M.M. Lighting installations [Osvetitel’nye ustanovki] / Moscow: Energiya, 1972, 360 p.
11. Goral, C.M., Torrance, K.E., Greenberg, D.P. Modelling the Interaction of Light Between Diffuse Surfaces // Computer Graphics (SIGGRAPH ‘84 Proceedings), 1984, Vol. 18, # 3, pp. 213–222.
12. Boos, G., Budak, V., Meshkova, T., Zheltov, V. Lighting quality criteria based on the luminance spatial-angular distribution // CEUR Workshop Proceedings, 2021, Vol. 3027, pp. 837–845.
13. Neumann, D.(ed.), Stern, R.A.M. (forw.), Isenstadt, S. et al. The Structure of Light: Richard Kelly and the Illumination of Modern Architecture / Yale University Press, 2011, 224 p.
14. Budak, V.P., Zheltov, V.S., Meshkova, T.V., Notfullin, R. Sh. Evaluation of illumination quality based on spatial-angular luminance distribution // Light & Engineering, 2017, Vol. 25, # 4, pp. 24–31.
15. Budak, V.P., Zheltov, V.S., Meshkova, T.V., Chembaev, V.D. Experimental study of the new criterion of lighting quality based on analysis of luminance distribution at Moscow metro stations // Light and Engineering, 2020, Vol. 28, # 3, pp. 98–105.
16. Budak, V.P. Theory of the light field / Reference book on light and engineering [Teoriya svetovogo polya / Spravochnaya kniga po svetotekhnike] Edited by Yu.B. Eisenberg and G.V. Boss, 4th ed., Moscow: Redakciya zhurnala “Svetotekhnika”, 2019, pp. 25–57.
17. Budak, V.P., Zheltov, V.S. Mathematical simulation of lighting installations using a computer // Light and Engineering, 2017, Vol. 25, # 2, pp. 113–120.
Keywords

Buy

Recommended articles