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Computer Optics, 2019, Volume 43, Issue 5, Pages 714–722
DOI: https://doi.org/10.18287/2412-6179-2019-43-5-714-722
(Mi co695)
 

This article is cited in 2 scientific papers (total in 2 papers)

OPTO-IT

Formation of the reverse flow of energy in a sharp focus

V. V. Kotlyarab, S. S. Stafeevba, A. G. Nalimovab, A. A. Kovalevba

a Samara National Research University, Moskovskoye Shosse 34, 443086, Samara, Russia
b IPSI RAS – Branch of the FSRC “Crystallography and Photonics” RAS, Molodogvardeyskaya 151, 443001, Samara, Russia
References:
Abstract: It was theoretically shown that in the interference pattern of four plane waves with specially selected directions of linear polarization it is formed a reverse flow of energy. The areas of direct and reverse flow alternate in a staggered order in the cross section of the interference pattern. The absolute value of the reverse flow directly depends on the angle of convergence of the plane waves (on the angle between the wave vector and the optical axis) and reach the maximum at an angle of convergence close to 90 degrees. The right-handed triples of the vectors of four plane waves (the wave vector with positive values of projection to optical axis and the vector of electric and magnetic fields) when added in certain areas of the interference pattern form an electromagnetic field described by the left-handed triple of vectors; however, the projection of wave vector to optical axis has negative values. In these areas, the light propagates in the opposite direction. A similar explanation of the mechanism of the formation of a reverse flow can be applied to the case of a sharp focusing of a laser beam with a second-order polarization singularity. It is also shown that if a spherical dielectric Rayleigh nanoparticle is placed in the backflow region, then a force directed in the opposite direction will act on it (the scattering force will be more than the gradient force).
Keywords: energy reverse flow, interference of plane waves, Richards-Wolf formulae, tight focusing, cylindrical vector beam.
Funding agency Grant number
Russian Science Foundation 17-19-01186
Russian Foundation for Basic Research 18-29-20003 ìê
Ministry of Science and Higher Education of the Russian Federation 007-ÃÇ/×3363/26
This work was supported by the Russian Science Foundation (Project No. 17-19-01186) in part of «Force acting on a nanoparticle in reverseflow», by the Russian Foundation of Basic Research (Project No. 18-29-20003) in part of «Formation of the energy backflow on the optical axis of the focal spot of polarization vortex», and by the Ministry of Science and Higher Education within the State assignment FSRC «Crystallography and Photonics» RAS under Agreement 007-ÃÇ/×3363/26 in part of «The interference of four plane waves with linear polarization».
Received: 08.02.2019
Accepted: 08.08.2019
Document Type: Article
Language: Russian
Citation: V. V. Kotlyar, S. S. Stafeev, A. G. Nalimov, A. A. Kovalev, “Formation of the reverse flow of energy in a sharp focus”, Computer Optics, 43:5 (2019), 714–722
Citation in format AMSBIB
\Bibitem{KotStaNal19}
\by V.~V.~Kotlyar, S.~S.~Stafeev, A.~G.~Nalimov, A.~A.~Kovalev
\paper Formation of the reverse flow of energy in a sharp focus
\jour Computer Optics
\yr 2019
\vol 43
\issue 5
\pages 714--722
\mathnet{http://mi.mathnet.ru/co695}
\crossref{https://doi.org/10.18287/2412-6179-2019-43-5-714-722}
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  • https://www.mathnet.ru/eng/co/v43/i5/p714
  • This publication is cited in the following 2 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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