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Computer Optics, 2015, Volume 39, Issue 3, Pages 299–304
DOI: https://doi.org/10.18287/0134-2452-2015-39-3-299-304 (Mi co88) 		 
This article is cited in 3 scientific papers (total in 3 papers)

OPTO-IT

Nonparaxial Hankel vortex beams of the first and second types

V. V. Kotlyarab, A. A. Kovalevba, V. A. Soiferba

a Samara State Aerospace University, Samara, Russia
b Image Processing Systems Institute, Samara, Russia, Russian Academy of Sciences
Full-text PDF (677 kB) Citations (3)
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DOI: https://doi.org/10.18287/0134-2452-2015-39-3-299-304
Abstract: We consider new solutions of the nonparaxial Helmholtz equation in the cylindrical coordinates, which are treated as nonparaxial scalar vortex Hankel beams of the 1st, 2nd and 3rd types. The beams can be obtained from each other by differentiation. Higher-order types of Hankel beams show lower divergence than the lower-order types. The lowest- (zero-) order Hankel beam of the first type represents a spherical wave.
Keywords: nonparaxial propagation, Hankel beam, optical vortex, spherical wave, beam divergence.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation НШ-3970.2014.9
Russian Foundation for Basic Research 13-07-97008-р_поволжье_а
14-29-07133-офи_м
14-07-31092-мол-а
15-07-01174-а
15-37-20723-мол_нр
15-47-02492-р_поволжье_а
This work was supported by the Ministry of Education and Science of the Russian Federation, the Russian President's grant for support of leading scientific schools (NSH-3970.2014.9) and RFBR 13-07-97008 grants 14-29-07133, 14-07-31092, 15-07 -01,174, 15-37-20723 and 15-47-02492.
Received: 18.06.2015
Revised: 01.07.2015
Document Type: Article
Language: Russian
Citation: V. V. Kotlyar, A. A. Kovalev, V. A. Soifer, “Nonparaxial Hankel vortex beams of the first and second types”, Computer Optics, 39:3 (2015), 299–304
Citation in format AMSBIB
\Bibitem{KotKovSoi15}
\by V.~V.~Kotlyar, A.~A.~Kovalev, V.~A.~Soifer
\paper Nonparaxial Hankel vortex beams of the first and second types
\jour Computer Optics
\yr 2015
\vol 39
\issue 3
\pages 299--304
\mathnet{http://mi.mathnet.ru/co88}
\crossref{https://doi.org/10.18287/0134-2452-2015-39-3-299-304}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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