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Computer Optics, 2020, Volume 44, Issue 4, Pages 540–546
DOI: https://doi.org/10.18287/2412-6179-CO-738 (Mi co818) 		 
This article is cited in 9 scientific papers (total in 9 papers)

OPTO-IT

Design and fabrication of a freeform mirror generating a uniform illuminance distribution in a rectangular region

E. S. Andreevab, E. V. Byzova, D. A. Bykovab, M. A. Moiseeva, N. L. Kazanskiiba, L. L. Doskolovichab

a IPSI RAS – Branch of the FSRC "Crystallography and Photonics" RAS, 443001, Samara, Russia, Molodogvardeyskaya 151
b Samara National Research University, 443086, Samara, Russia, Moskovskoye Shosse 34
Full-text PDF (1308 kB) Citations (9)
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DOI: https://doi.org/10.18287/2412-6179-CO-738
Abstract: The design of a freeform mirror generating a uniform illuminance distribution in a rectangular region with angular dimensions of $30^\circ\times15^\circ$ is presented. The design method is based on the formulation of the problem of calculating the "ray-mapping" as a Monge-Kantorovich mass transportation problem and its subsequent reducing to a linear assignment problem. We describe a mirror fabrication process with the use of milling technology and present results of experimental measurements of the light distribution generated by the mirror. The experimental results are in good agreement with the results of numerical simulations and thus confirm the manufacturability of mirrors designed by the method proposed.
Keywords: inverse problem, freeform mirror, illuminance, milling technology.
Funding agency Grant number
Russian Science Foundation 18-19-00326
Ministry of Science and Higher Education of the Russian Federation 007-ÃÇ/×3363/26
This work was funded by the Russian Science Foundation under project No. 18-19-00326 (design, manufacture, and experimental investigation of the mirror) and the RF Ministry of Science and Higher Education under a government project of FSRC «Crystallography and Photonics» RAS (numerical simulation of the mirror).
Received: 15.04.2020
Accepted: 19.05.2020
Document Type: Article
Language: Russian
Citation: E. S. Andreev, E. V. Byzov, D. A. Bykov, M. A. Moiseev, N. L. Kazanskii, L. L. Doskolovich, “Design and fabrication of a freeform mirror generating a uniform illuminance distribution in a rectangular region”, Computer Optics, 44:4 (2020), 540–546
Citation in format AMSBIB
\Bibitem{AndByzByk20}
\by E.~S.~Andreev, E.~V.~Byzov, D.~A.~Bykov, M.~A.~Moiseev, N.~L.~Kazanskii, L.~L.~Doskolovich
\paper Design and fabrication of a freeform mirror generating a uniform illuminance distribution in a rectangular region
\jour Computer Optics
\yr 2020
\vol 44
\issue 4
\pages 540--546
\mathnet{http://mi.mathnet.ru/co818}
\crossref{https://doi.org/10.18287/2412-6179-CO-738}
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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