The two reflector design problem for forming a flat wavefront from a point source as an optimal mass transfer problem
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–Kan...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Samara National Research University
2019-12-01
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| Series: | Компьютерная оптика |
| Subjects: | |
| Online Access: | http://computeroptics.smr.ru/KO/PDF/KO43-6/430606.pdf |
| _version_ | 1818316201962504192 |
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| author | Albert Mingazov Leonid Doskolovich Dmitry Bykov Nikolay Kazanskiy |
| author_facet | Albert Mingazov Leonid Doskolovich Dmitry Bykov Nikolay Kazanskiy |
| author_sort | Albert Mingazov |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-13T09:17:40Z |
| format | Article |
| id | doaj.art-0086cff82a5849d692890571894393e7 |
| institution | Directory Open Access Journal |
| issn | 0134-2452 2412-6179 |
| language | English |
| last_indexed | 2024-12-13T09:17:40Z |
| publishDate | 2019-12-01 |
| publisher | Samara National Research University |
| record_format | Article |
| series | Компьютерная оптика |
| spelling | doaj.art-0086cff82a5849d692890571894393e72022-12-21T23:52:48ZengSamara National Research UniversityКомпьютерная оптика0134-24522412-61792019-12-0143696897510.18287/2412-6179-2019-43-6-968-975The two reflector design problem for forming a flat wavefront from a point source as an optimal mass transfer problemAlbert Mingazov0Leonid Doskolovich1Dmitry Bykov2 Nikolay Kazanskiy3IPSI RAS – Branch of the FSRC "Crystallography and Photonics" RAS, 443001, Russia, Samara, Molodogvardeyskaya 151IPSI RAS – Branch of the FSRC "Crystallography and Photonics" RAS, 443001, Russia, Samara, Molodogvardeyskaya 151; Samara National Research University, 443086, Russia, Samara, Moskovskoye Shosse 34IPSI RAS – Branch of the FSRC "Crystallography and Photonics" RAS, 443001, Russia, Samara, Molodogvardeyskaya 151; Samara National Research University, 443086, Russia, Samara, Moskovskoye Shosse 34IPSI RAS – Branch of the FSRC "Crystallography and Photonics" RAS, 443001, Russia, Samara, Molodogvardeyskaya 151; Samara National Research University, 443086, Russia, Samara, Moskovskoye Shosse 34The 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.http://computeroptics.smr.ru/KO/PDF/KO43-6/430606.pdfgeometric opticsoptical designnonimaging opticsinverse problemmonge-kantorovich mass transfer problemoptimal mass transportation |
| spellingShingle | Albert Mingazov Leonid Doskolovich Dmitry Bykov Nikolay Kazanskiy The two reflector design problem for forming a flat wavefront from a point source as an optimal mass transfer problem Компьютерная оптика geometric optics optical design nonimaging optics inverse problem monge-kantorovich mass transfer problem optimal mass transportation |
| title | The two reflector design problem for forming a flat wavefront from a point source as an optimal mass transfer problem |
| title_full | The two reflector design problem for forming a flat wavefront from a point source as an optimal mass transfer problem |
| title_fullStr | The two reflector design problem for forming a flat wavefront from a point source as an optimal mass transfer problem |
| title_full_unstemmed | The two reflector design problem for forming a flat wavefront from a point source as an optimal mass transfer problem |
| title_short | The two reflector design problem for forming a flat wavefront from a point source as an optimal mass transfer problem |
| title_sort | two reflector design problem for forming a flat wavefront from a point source as an optimal mass transfer problem |
| topic | geometric optics optical design nonimaging optics inverse problem monge-kantorovich mass transfer problem optimal mass transportation |
| url | http://computeroptics.smr.ru/KO/PDF/KO43-6/430606.pdf |
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