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Computer Optics, 2019, Volume 43, Issue 6, Pages 968–975 (Mi co721)  

OPTO-IT

The two reflector design problem for forming a flat wavefront from a point source as an optimal mass transfer problem

A. A. Mingazova, L. L. Doskolovichab, D. A. Bykovba, N. L. Kazanskiyba

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

Abstract: The article deals with a problem of calculating two reflecting surfaces that form a given irradiance distribution with a flat wavefront, provided that a point source of light is used. A notion of a weak solution for the said problem is formulated and the equivalence of this problem and the Monge–Kantorovich mass transfer is proven.

Keywords: geometric optics, optical design, nonimaging optics, inverse problem, Monge-Kantorovich mass transfer problem, optimal mass transportation.

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 supported by Russian Science Foundation (RSF) under grants 18-19-00326 (formulation of the problem of calculating of two reflector as an optimal mass transportation problem) and by Ministry of Science and Higher Education within the State assignment FSRC “Crystallography and Photonics” RAS under agreement 007-ÃÇ/×3363/26 (formulation of the weak solution of the problem).


DOI: https://doi.org/10.18287/2412-6179-2019-43-6-968-975

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Full text: http://www.computeroptics.smr.ru/.../430606.html
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Received: 20.05.2019
Accepted:14.08.2019

Citation: A. A. Mingazov, L. L. Doskolovich, D. A. Bykov, N. L. Kazanskiy, “The two reflector design problem for forming a flat wavefront from a point source as an optimal mass transfer problem”, Computer Optics, 43:6 (2019), 968–975

Citation in format AMSBIB
\Bibitem{MinDosByk19}
\by A.~A.~Mingazov, L.~L.~Doskolovich, D.~A.~Bykov, N.~L.~Kazanskiy
\paper The two reflector design problem for forming a flat wavefront from a point source as an optimal mass transfer problem
\jour Computer Optics
\yr 2019
\vol 43
\issue 6
\pages 968--975
\mathnet{http://mi.mathnet.ru/co721}
\crossref{https://doi.org/10.18287/2412-6179-2019-43-6-968-975}


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