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, 2022, Volume 46, Issue 5, Pages 692–700
DOI: https://doi.org/10.18287/2412-6179-CO-1106
(Mi co1062)
 

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

DIFFRACTIVE OPTICS, OPTICAL TECHNOLOGIES

Coherent superposition of the Laguerre-Gaussian beams with different wavelengths: colored optical vortices

V. V. Kotlyarab, A. A. Kovalevab, A. A. Savelyevaab

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: We calculate the topological charge (TC) of a coherent axial superposition of different-“color” Laguerre-Gaussian (LG) beams, each having a different wavelength and TC. It is found that the TC of such a superposition is equal to the TC of the longer-wavelength constituent LG beam regardless of the weight coefficient of this beam in the superposition and its corresponding TC. It is interesting that the instantaneous TC of such a superposition is conserved and the (time-averaged) intensity distribution of the "colored" optical vortex changes its light "gamut": whereas in the near field with increasing radius, colors of the light rings (rainbow) change according to their TC in the superposition from the smaller TC to the larger one, upon free-space propagation (to the far field), with increasing radius, the ring colors in the rainbow get arranged in the reverse order from the larger TC to the smaller one. It is also shown that choosing the wavelengths (blue, green, and red) in a special way in a three-color superposition of single-ringed LG beams allows obtaining a time-averaged white light ring at a certain distance.
Keywords: optical vortex, colored beam, topological charge, Laguerre-Gaussian beam
Funding agency Grant number
Russian Science Foundation 18-19-00595
Ministry of Science and Higher Education of the Russian Federation
The work was partly funded by the Russian Science Foundation under grant # 18-19-00595 (sections "Topological charge of a superposition of two colored optical vortices" and "Topological charge of a white optical vortex") and the Ministry of Science and Higher Education of the Russian Federation within the State assignment for the FSRC “Crystallography and Photonics” RAS (section "Modeling").
Received: 03.02.2022
Accepted: 28.04.2022
Document Type: Article
Language: Russian
Citation: V. V. Kotlyar, A. A. Kovalev, A. A. Savelyeva, “Coherent superposition of the Laguerre-Gaussian beams with different wavelengths: colored optical vortices”, Computer Optics, 46:5 (2022), 692–700
Citation in format AMSBIB
\Bibitem{KotKovSav22}
\by V.~V.~Kotlyar, A.~A.~Kovalev, A.~A.~Savelyeva
\paper Coherent superposition of the Laguerre-Gaussian beams with different wavelengths: colored optical vortices
\jour Computer Optics
\yr 2022
\vol 46
\issue 5
\pages 692--700
\mathnet{http://mi.mathnet.ru/co1062}
\crossref{https://doi.org/10.18287/2412-6179-CO-1106}
Linking options:
  • https://www.mathnet.ru/eng/co1062
  • https://www.mathnet.ru/eng/co/v46/i5/p692
  • 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
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024