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Method for calculating a refractive optical element forming given illuminance distribution and wavefront
L.L. Doskolovich 1,2, D.A. Bykov 1,2, A.A. Mingazov 1, E.A. Bezus 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, 1193 kB

DOI: 10.18287/2412-6179-CO-912

Pages: 818-827.

Full text of article: Russian language.

Abstract:
In the geometrical optics approximation, we consider a method for calculating a refractive optical element with two freeform surfaces, which transforms an incident beam with a plane wave-front into an output beam with a required wavefront and generating a required illuminance distribution. As examples, optical elements forming given illuminance distributions and (converging and diverging) spherical wavefronts are designed. The presented examples demonstrate the good performance of the method.

Keywords:
free form refractive surface, geometrical optics, inverse problem, illuminance, wavefront.

Citation:
Doskolovich LL, Bykov DA, Mingazov AA, Bezus EA. Method for calculating a refractive optical element forming given illuminance distribution and wavefront. Computer Optics 2021; 45(6): 818-827. DOI: 10.18287/2412-6179-CO-912.

Acknowledgements:
This work was funded by Russian Foundation for Basic Research (project 18-29-03067; the development of the element calculation method), and by the Russian Federation Ministry of Science and Higher Education: state assignment to the “Crystallography and Photonics” Research Center of the RAS (007-GZ/Ch3363/26; implementation of the software for the simulation of the designed optical elements) and state assignment to the Samara University (laboratory "Photonics for a smart home and smart city" 19v-R001-602; formulation of the problem of maximizing a concave function).

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