Computer Optics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Computer Optics:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Computer Optics, 2021, Volume 45, Issue 1, Pages 29–37
DOI: https://doi.org/10.18287/2412-6179-CO-783 (Mi co878) 		 
This article is cited in 1 scientific paper (total in 1 paper)

OPTO-IT

Supporting quadric method for collimated beams

A. A. Mingazova, L. L. Doskolovichba, D. A. Bykovba

a IPSI RAS – Branch of the FSRC "Crystallography and Photonics" RAS, 443001, Samara, Russia, Molodogvardeyskaya 151
b Samara National Research University, 443086, Samara, Russia, Moskovskoye Shosse 34
Full-text PDF (923 kB) Citations (1)
References:
PDF
HTML
DOI: https://doi.org/10.18287/2412-6179-CO-783
Abstract: We consider the problem of calculating a refractive element with two surfaces, forming a flat front and a given distribution of illumination. The supporting quadrics method is formulated for calculating a given optical element and it is shown that this method coincides with the gradient method for some functional related to the problem of the Monge-Kantorovich mass transfer problem. This enables adaptive selection of the step in the supporting quadric method. At the end of the article a design example is given.
Keywords: geometric optics, non-imaging optics, inverse problem, Monge-Kantorovich mass transfer problem.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation
Russian Foundation for Basic Research 18-29-03067 мк
18-07-00982 а
This work was supported by Ministry of Science and Higher Education of the Russian Federation (FSRC "Crystallography and Photonics" RAS) in part of parts of the numerical implementation of the calculation algorithm and Russian Foundation for Basic Research (18-29-03067, 18-07-00982) in part of of formulating the supporting quadric method and proving the coincidence with the gradient method for the corresponding functional.
Received: 18.07.2020
Accepted: 14.10.2020
Document Type: Article
Language: Russian
Citation: A. A. Mingazov, L. L. Doskolovich, D. A. Bykov, “Supporting quadric method for collimated beams”, Computer Optics, 45:1 (2021), 29–37
Citation in format AMSBIB
\Bibitem{MinDosByk21}
\by A.~A.~Mingazov, L.~L.~Doskolovich, D.~A.~Bykov
\paper Supporting quadric method for collimated beams
\jour Computer Optics
\yr 2021
\vol 45
\issue 1
\pages 29--37
\mathnet{http://mi.mathnet.ru/co878}
\crossref{https://doi.org/10.18287/2412-6179-CO-783}
Linking options:
  • https://www.mathnet.ru/eng/co878
  • https://www.mathnet.ru/eng/co/v45/i1/p29
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Computer Optics
    Statistics & downloads:
    Abstract page:98
    Full-text PDF :53
    References:12
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024