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Optimization method for designing optical elements with an extended light source
E.V. Byzov 1, S.V. Kravchenko 1, M.A. Moiseev 1, 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, 1043 kB

DOI: 10.18287/2412-6179-CO-762

Pages: 712-720.

Full text of article: Russian language.

Abstract:
A method for designing an optical element with two free-form surfaces generating a prescribed illuminance distribution in the case of an extended light source is considered. The method is based on the representation of the optical element surfaces by bicubic splines and on the subsequent optimization of their parameters using a quasi-Newton method implemented in the Matlab software. To calculate the merit function, a version of the ray tracing method is proposed. Using the proposed method, an optical element with record characteristics was designed: the ratio of the element height to the source size is 1.6; luminous efficiency is 89.1 %; uniformity of the generated distribution (the ratio of the minimum and average illuminance) in a given square region is 0.92.

Keywords:
freeform surface, ray tracing, optimization, LED optics, illuminance distribution, nonimaging optics, optical design.

Citation:
Byzov EV, Kravchenko SV, Moiseev MA, Doskolovich LL. Optimization method for designing optical elements with an extended light source. Computer Optics 2020; 44(5): 712-720. DOI: 10.18287/2412-6179-CO-762.

Acknowledgements:
This work was financially supported by the RF Ministry of Science and Higher Education within the State assignment to FSRC "Crystallography and Photonics" RAS under agreement 007-ГЗ/Ч3363/26 (Numerical simulation of the optical elements), Russian Science Foundation under project No. 18-19-00326 (Development of the method and design of the optical elements).

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