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Design and fabrication of a freeform mirror generating a uniform illuminance distribution in a rectangular region
E.S. Andreev 1,2, E.V. Byzov 1, D.A. Bykov 1,2, М.А. Moiseev 1, N.L. Kazanskiy 1,2, L.L. Doskolovich 1,2

1 IPSI RAS – Branch of the FSRC "Crystallography and Photonics" RAS, 443001, Samara, Russia, Molodogvardeyskaya 151,
2 Samara National Research University, 443086, Samara, Russia, Moskovskoye Shosse 34

 PDF, 1308 kB

DOI: 10.18287/2412-6179-CO-738

Pages: 540-546.

Full text of article: Russian language.

Abstract:
The design of a freeform mirror generating a uniform illuminance distribution in a rectangular region with angular dimensions of 30°x15° 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.

Citation:
Andreev ES, Byzov EV, Bykov DA, Moiseev МА, Kazanskiy NL, Doskolovich LL. Design and fabrication of a freeform mirror generating a uniform illuminance distribution in a rectangular region. Computer Optics 2020; 44(4): 540-546. DOI: 10.18287/2412-6179-CO-738.

Acknowledgements:
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).

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