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This article is cited in 5 scientific papers (total in 5 papers)
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.
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
Linking options:
https://www.mathnet.ru/eng/co721 https://www.mathnet.ru/eng/co/v43/i6/p968
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Abstract page: | 160 | Full-text PDF : | 41 | References: | 13 |
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