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DIFFRACTIVE OPTICS, OPTICAL TECHNOLOGIES
Support quadric method in non-imaging optics problems that can be reformulated as a mass transfer problem
A. A. Mingazova, L. L. Doskolovichab, D. A. Bykovab, E. V. Byzova a Image Processing Systems Institute of the RAS - Branch of the FSRC "Crystallography and Photonics" RAS, Samara, Russia, Samara
b Samara National Research University
Abstract:
The article deals with problems of generating desired illumination patterns, formulated in a special way. More precisely, we consider problems that can be reformulated as a Monge–Kantorovich mass transfer problem with some cost function. For all problems of this type, we uniformly formulate the support quadric method and show that it coincides with the gradient method for finding the maximum of a certain concave function.
Keywords:
non-imaging optics, geometric optics, inverse problem, Monge-Kantorovich problem, support quadric method
Received: 29.09.2021 Accepted: 26.11.2021
Citation:
A. A. Mingazov, L. L. Doskolovich, D. A. Bykov, E. V. Byzov, “Support quadric method in non-imaging optics problems that can be reformulated as a mass transfer problem”, Computer Optics, 46:3 (2022), 353–365
Linking options:
https://www.mathnet.ru/eng/co1023 https://www.mathnet.ru/eng/co/v46/i3/p353
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