Backward flow of energy for an optical vortex with arbitrary integer topological charge

Backward flow of energy for an optical vortex with arbitrary integer topological charge

We analyze the sharp focusing of an arbitrary optical vortex with the integer topological charge m and circular polarization in an aplanatic optical system. Explicit formulas to describe all projections of the electric and magnetic fields near the focal spot are derived. Expressions for the near-foc...

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Bibliographic Details
Main Authors: Victor Kotlyar, Alexey Kovalev, Anton Nalimov
Format: Article
Language:English
Published: Samara National Research University 2018-06-01
Series:Компьютерная оптика
Subjects:
backward energy flow
optical vortex
rotating beams
Umov-Poynting vector
Online Access:http://computeroptics.smr.ru/KO/PDF/KO42-3/420309.pdf
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spelling doaj-6f28992d634b4782bb09fa1d2d95b2472020-11-25T01:32:49ZengSamara National Research UniversityКомпьютерная оптика0134-24522412-61792018-06-0142340841310.18287/2412-6179-2018-42-3-408-413Backward flow of energy for an optical vortex with arbitrary integer topological chargeVictor Kotlyar0Alexey Kovalev1Anton Nalimov2Image Processing Systems Institute оf RAS – Branch of the FSRC “Crystallography and Photonics” RAS, Samara, Russia, Samara National Research University, Samara, RussiaImage Processing Systems Institute оf RAS – Branch of the FSRC “Crystallography and Photonics” RAS, Samara, Russia, Samara National Research University, Samara, RussiaImage Processing Systems Institute оf RAS – Branch of the FSRC “Crystallography and Photonics” RAS, Samara, Russia, Samara National Research University, Samara, RussiaWe analyze the sharp focusing of an arbitrary optical vortex with the integer topological charge m and circular polarization in an aplanatic optical system. Explicit formulas to describe all projections of the electric and magnetic fields near the focal spot are derived. Expressions for the near-focus intensity (energy density) and energy flow (projections of the Pointing vector) are also derived. The expressions derived suggest that for a left-hand circularly polarized optical vortex with m > 2, the on-axis backward flow is equal to zero, growing in the absolute value as a power 2(m – 2) of the radial coordinate. These relations also show that upon the negative propagation, the energy flow rotates around the optical axis.http://computeroptics.smr.ru/KO/PDF/KO42-3/420309.pdfbackward energy flowoptical vortexrotating beamsUmov-Poynting vector
collection DOAJ
language English
format Article
sources DOAJ
author Victor Kotlyar
Alexey Kovalev
Anton Nalimov
spellingShingle Victor Kotlyar
Alexey Kovalev
Anton Nalimov
Backward flow of energy for an optical vortex with arbitrary integer topological charge
Компьютерная оптика
backward energy flow
optical vortex
rotating beams
Umov-Poynting vector
author_facet Victor Kotlyar
Alexey Kovalev
Anton Nalimov
author_sort Victor Kotlyar
title Backward flow of energy for an optical vortex with arbitrary integer topological charge
title_short Backward flow of energy for an optical vortex with arbitrary integer topological charge
title_full Backward flow of energy for an optical vortex with arbitrary integer topological charge
title_fullStr Backward flow of energy for an optical vortex with arbitrary integer topological charge
title_full_unstemmed Backward flow of energy for an optical vortex with arbitrary integer topological charge
title_sort backward flow of energy for an optical vortex with arbitrary integer topological charge
publisher Samara National Research University
series Компьютерная оптика
issn 0134-2452
2412-6179
publishDate 2018-06-01
description We analyze the sharp focusing of an arbitrary optical vortex with the integer topological charge m and circular polarization in an aplanatic optical system. Explicit formulas to describe all projections of the electric and magnetic fields near the focal spot are derived. Expressions for the near-focus intensity (energy density) and energy flow (projections of the Pointing vector) are also derived. The expressions derived suggest that for a left-hand circularly polarized optical vortex with m > 2, the on-axis backward flow is equal to zero, growing in the absolute value as a power 2(m – 2) of the radial coordinate. These relations also show that upon the negative propagation, the energy flow rotates around the optical axis.
topic backward energy flow
optical vortex
rotating beams
Umov-Poynting vector
url http://computeroptics.smr.ru/KO/PDF/KO42-3/420309.pdf
work_keys_str_mv AT victorkotlyar backwardflowofenergyforanopticalvortexwitharbitraryintegertopologicalcharge
AT alexeykovalev backwardflowofenergyforanopticalvortexwitharbitraryintegertopologicalcharge
AT antonnalimov backwardflowofenergyforanopticalvortexwitharbitraryintegertopologicalcharge
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