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, 2016, Volume 40, Issue 1, Pages 5–11 (Mi co108)  

OPTO-IT

Laguerre-Gaussian beams with complex shift in Cartesian coordinates

A. A. Kovalevab, V. V. Kotlyarba, S. G. Zaskanova, D. S. Kalinkinaba

a Samara State Aerospace University, Samara, Russia
b Image Processing Systems Institute, Russian Academy of Sciences, Samara, Russia

Abstract: We studied a generalization of the family of Laguerre-Gaussian (LG) laser modes with asymmetrical intensity distribution. As the asymmetrical LG beam is propagating in a homogeneous medium, the asymmetry of its main (central) bright ring reduces, while the contrast of the rest rings increases. The number of bright rings coincides with that of a standard (symmetrical) LG mode. Using the expansion of the complex amplitude into the angular spectrum of plane waves, we calculated analytically the power of the asymmetrical LG beams and projection of their orbital angular momentum (OAM) on the optical axis. It is found that the normalized OAM (OAM per photon) is completely determined by the topological charge and the ratios between the shifts and the waist radius. We also found the conditions under which the normalized OAM coincides with the topological charge (as is the case for the optical vortices).

Keywords: diffraction theory, optical vortices, propagation, Laguerre-Gaussian mode, orbital angular momentum, beam power, complex shift.

Funding Agency Grant Number
Ministry of Education and Science of the Russian Federation -9498.2016.9
Russian Foundation for Basic Research 14-29-07133__
15-07-01174_
15-37-20723___
15-47-02492-__
The work was partially funded by the Russian Federation Ministry of Education and Science, Presidential grant for support of leading scientific schools (NSh-9498.2016.9) and Russian Foundation of Basic Research Grants (14-29-07133, 15-07-01174, 15-37-20723, 15-47-02492).


DOI: https://doi.org/10.18287/2412-6179-2016-40-1-5-11

Full text: PDF file (953 kB)
Full text: http://www.computeroptics.smr.ru/.../400101.html
References: PDF file   HTML file

Received: 22.01.2016
Revised: 09.02.2016

Citation: A. A. Kovalev, V. V. Kotlyar, S. G. Zaskanov, D. S. Kalinkina, “Laguerre-Gaussian beams with complex shift in Cartesian coordinates”, Computer Optics, 40:1 (2016), 5–11

Citation in format AMSBIB
\Bibitem{KovKotZas16}
\by A.~A.~Kovalev, V.~V.~Kotlyar, S.~G.~Zaskanov, D.~S.~Kalinkina
\paper Laguerre-Gaussian beams with complex shift in Cartesian coordinates
\jour Computer Optics
\yr 2016
\vol 40
\issue 1
\pages 5--11
\mathnet{http://mi.mathnet.ru/co108}
\crossref{https://doi.org/10.18287/2412-6179-2016-40-1-5-11}


Linking options:
  • http://mi.mathnet.ru/eng/co108
  • http://mi.mathnet.ru/eng/co/v40/i1/p5

    SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru


    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles
  • Computer Optics
    Number of views:
    This page:207
    Full text:80
    References:39

     
    Contact us:
     Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2020