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
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.
geometric optics, optical design, nonimaging optics, inverse problem, Monge-Kantorovich mass transfer problem, optimal mass transportation.
|Russian Science Foundation
|Ministry of Science and Higher Education of the Russian Federation
|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).
PDF file (775 kB)
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
\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
Citing articles on Google Scholar:
Related articles on Google Scholar:
|Number of views:|