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Computer Optics, 2019, Volume 43, Issue 2, Pages 159–167
DOI: https://doi.org/10.18287/2412-6179-2019-43-2-159-167 (Mi co631) 		 
This article is cited in 8 scientific papers (total in 8 papers)

OPTO-IT

Catastrophe theory and caustics of radially symmetric beams

S. I. Kharitonovab, S. G. Volotovskya, S. N. Khoninaab

a IPSI RAS – Branch of the FSRC “Crystallography and Photonics” RAS, Molodogvardeyskaya 151, 443001, Samara, Russia
b Samara National Research University, Moskovskoye shosse, 34, 443086, Samara, Russia
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DOI: https://doi.org/10.18287/2412-6179-2019-43-2-159-167
Abstract: The work is devoted to the study of the caustics of radial beams. Analytical expressions for caustic surfaces of wave fronts created by radially symmetric diffractive optical elements are found. The result is presented in a curvilinear coordinate system consistent with the caustic surface. An asymptotic representation of the Kirchhoff integral near the optical axis is obtained, ensuring the correct calculations in the non-paraxial case.
Keywords: catastrophe theory, caustics, radially symmetric beams, asymptotic representation of the Kirchhoff integral.
Funding agency Grant number
Russian Foundation for Basic Research 18-29-20045-ìê
Ministry of Science and Higher Education of the Russian Federation 007-ÃÇ/×3363/26
This work was financially supported by the Russian Foundation for Basic Research under grant No. 18-29-20045-mk (numerical calculations) and by the Ministry of Science and Higher Education within the State assignment to the FSRC «Crystallography and Photonics» RAS No. 007-GZ/Ch3363/26 (theoretical results).
Received: 05.03.2019
Accepted: 29.03.2019
Document Type: Article
Language: Russian
Citation: S. I. Kharitonov, S. G. Volotovsky, S. N. Khonina, “Catastrophe theory and caustics of radially symmetric beams”, Computer Optics, 43:2 (2019), 159–167
Citation in format AMSBIB
\Bibitem{KhaVolKho19}
\by S.~I.~Kharitonov, S.~G.~Volotovsky, S.~N.~Khonina
\paper Catastrophe theory and caustics of radially symmetric beams
\jour Computer Optics
\yr 2019
\vol 43
\issue 2
\pages 159--167
\mathnet{http://mi.mathnet.ru/co631}
\crossref{https://doi.org/10.18287/2412-6179-2019-43-2-159-167}
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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