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Computer Optics, 2015, Volume 39, Issue 4, Pages 453–458
DOI: https://doi.org/10.18287/0134-2452-2015-39-4-453-458 (Mi co3) 		 
This article is cited in 3 scientific papers (total in 3 papers)

OPTO-IT

Pearcey beams carrying orbital angular momentum

A. A. Kovalevab, V. V. Kotlyarba

a Samara State Aerospace University
b Image Processing Systems Institute, Russian Academy of Sciences
Full-text PDF (240 kB) Citations (3)
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DOI: https://doi.org/10.18287/0134-2452-2015-39-4-453-458
Abstract: We have obtained a new solution of the paraxial Helmholtz equation, which describes a twoparameter family of structurally stable three-dimensional vortex circular Pearcey beams with their complex amplitude expressed through a degenerate hypergeometric function. The vortex Pearcey beams have an orbital angular momentum and the auto-focusing property, and propagate along an accelerating trajectory toward their focus, where the intensity ring of the beam is "sharply" reduced in diameter. An explicit expression has been obtained for the complex amplitude of vortex circular Pearcey-Gaussian beams, which also have the auto-focusing property.
Keywords: paraxial laser beam, form-invariant laser beam, vortex Pearcey beam, accelerating beam, auto-focusing.
Funding agency Grant number
Russian Foundation for Basic Research 13-07-97008
14-29-07133
14-07-31092
15-07-01174
15-37-20723
15-47-02492
Ministry of Education and Science of the Russian Federation НШ-3970.2014.9
This work was supported by the Ministry of Education and Science of the Russian Federation, the RF President's grant for support of leading scientific schools (NSH-3970.2014.9) and RFBR grants 13-07-97008, 14-29-07133, 14-07-31092, 15-07 -01,174, 15-37-20723 and 15-47-02492.
Received: 03.09.2015
Revised: 25.09.2015
Document Type: Article
Language: Russian
Citation: A. A. Kovalev, V. V. Kotlyar, “Pearcey beams carrying orbital angular momentum”, Computer Optics, 39:4 (2015), 453–458
Citation in format AMSBIB
\Bibitem{KovKot15}
\by A.~A.~Kovalev, V.~V.~Kotlyar
\paper Pearcey beams carrying orbital angular momentum
\jour Computer Optics
\yr 2015
\vol 39
\issue 4
\pages 453--458
\mathnet{http://mi.mathnet.ru/co3}
\crossref{https://doi.org/10.18287/0134-2452-2015-39-4-453-458}
Linking options:
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  • https://www.mathnet.ru/eng/co/v39/i4/p453
    • This publication is cited in the following 3 articles:
    1. Su Zhang, Feng Zang, Lijuan Dong, Lu Li, “The evolution and interaction of the asymmetric Pearcey–Gaussian beam in nonlinear Kerr medium”, Appl. Phys. B, 128:9 (2022)  crossref
    2. Will Trojak, Rob Watson, Ashley Scillitoe, Paul G. Tucker, “Effect of Mesh Quality on Flux Reconstruction in Multi-dimensions”, J Sci Comput, 82:3 (2020)  crossref
    3. Ernesto Espíndola-Ramos, Gilberto Silva-Ortigoza, Citlalli Teresa Sosa-Sánchez, Israel Julián-Macías, Omar de Jesús Cabrera-Rosas, Paula Ortega-Vidals, Adriana González-Juárez, Ramón Silva-Ortigoza, Mercedes Paulina Velázquez-Quesada, G. F. Torres del Castillo, “Paraxial optical fields whose intensity pattern skeletons are stable caustics”, J. Opt. Soc. Am. A, 36:11 (2019), 1820  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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