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Computer Optics, 2015, Volume 39, Issue 3, Pages 332–338
DOI: https://doi.org/10.18287/0134-2452-2015-39-3-332-338 (Mi co93) 		 
This article is cited in 15 scientific papers (total in 15 papers)

OPTO-IT

Calculation of eigenfunctions of a bounded fractional Fourier transform

M. S. Kirilenkoab, R. O. Zubtsova, S. N. Khoninaab

a Samara State Aerospace University, Samara, Russia
b Image Processing Systems Institute, Samara, Russia, Russian Academy of Sciences
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DOI: https://doi.org/10.18287/0134-2452-2015-39-3-332-338
Abstract: In this paper we consider the use of a one-dimensional fractional Fourier transform for gradient-index optical waveguides. We calculate eigenfunctions of the transform in view of a limited range in the spatial and spectral domain.
Keywords: fractional Fourier transform, bounded paraxial operator, eigenfunctions, Hermite-Gaussian modes, spheroidal wave functions.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation
Russian Foundation for Basic Research 14-01-31401 мол_а
This work was financially supported by the Ministry of Education and Science of the Russian Federation and the Russian Foundation for Basic Research (grant 14-01-31401 mol_a).
Received: 05.06.2015
Revised: 18.06.2015
Document Type: Article
Language: Russian
Citation: M. S. Kirilenko, R. O. Zubtsov, S. N. Khonina, “Calculation of eigenfunctions of a bounded fractional Fourier transform”, Computer Optics, 39:3 (2015), 332–338
Citation in format AMSBIB
\Bibitem{KirZubKho15}
\by M.~S.~Kirilenko, R.~O.~Zubtsov, S.~N.~Khonina
\paper Calculation of eigenfunctions of a bounded fractional Fourier transform
\jour Computer Optics
\yr 2015
\vol 39
\issue 3
\pages 332--338
\mathnet{http://mi.mathnet.ru/co93}
\crossref{https://doi.org/10.18287/0134-2452-2015-39-3-332-338}
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    • This publication is cited in the following 15 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Computer Optics
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