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, 2023, Volume 47, Issue 5, Pages 691–701
DOI: https://doi.org/10.18287/2412-6179-CO-1314
(Mi co1169)
 

This article is cited in 3 scientific papers (total in 3 papers)

DIFFRACTIVE OPTICS, OPTICAL TECHNOLOGIES

Gradient method for designing cascaded DOEs and its application in the problem of classifying handwritten digits

D. V. Soshnikovab, L. L. Doskolovichab, E. V. Byzovab

a Image Processing Systems Institute of the RAS - Branch of the FSRC "Crystallography and Photonics" RAS, Samara, Russia, Samara
b Samara National Research University
References:
Abstract: We consider a gradient method for calculating cascaded diffractive optical elements (DOEs) consisting of several sequentially placed phase DOEs. Using the unitarity property of the operator describing the light propagation through the cascaded DOE, we obtained explicit expressions for the derivatives of the error functional with the respect to the phase functions of the cascaded DOE. We consider the application of the gradient method in the problem of focusing several different incident beams to several domains with different intensity distributions, and in the problem of image classification. The presented description of the gradient method treats the problems of designing cascaded DOEs for both focusing the laser radiation and performing image classification in the framework of a single general approach. It is shown that the difference of the problem of optical classification from the problem of generating required intensity distributions consists only in the form of error functionals, the calculation of the derivatives of which is reduced to the same general formula. Using the proposed gradient method, we designed single and cascaded DOEs for optical classification of handwritten digits. The obtained results may find application in the development of diffractive neural networks and optical systems for laser beam focusing.
Keywords: diffractive optical element, phase function, scalar diffraction theory, gradient method, image classification
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation FSSS-2021-0016
This work was performed within the State assignment of Federal Scientific Research Center "Crystallography and Photonics" of Russian Academy of Sciences in part of developing the gradient method for calculating cascaded DOEs, and was supported by the Ministry of Science and Higher Education of the Russian Federation (State assignment for research to Samara University (laboratory “Photonics for Smart Home and Smart City”, project FSSS-2021-0016) in part of designing DOEs for classifying handwritten digits.
Received: 05.04.2023
Accepted: 31.05.2023
Document Type: Article
Language: Russian
Citation: D. V. Soshnikov, L. L. Doskolovich, E. V. Byzov, “Gradient method for designing cascaded DOEs and its application in the problem of classifying handwritten digits”, Computer Optics, 47:5 (2023), 691–701
Citation in format AMSBIB
\Bibitem{SosDosByz23}
\by D.~V.~Soshnikov, L.~L.~Doskolovich, E.~V.~Byzov
\paper Gradient method for designing cascaded DOEs and its application in the problem of classifying handwritten digits
\jour Computer Optics
\yr 2023
\vol 47
\issue 5
\pages 691--701
\mathnet{http://mi.mathnet.ru/co1169}
\crossref{https://doi.org/10.18287/2412-6179-CO-1314}
Linking options:
  • https://www.mathnet.ru/eng/co1169
  • https://www.mathnet.ru/eng/co/v47/i5/p691
  • This publication is cited in the following 3 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:36
    Full-text PDF :22
    References:18
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025