Common topological charge of several similar off-axis vortex light beams of arbitrary rotationally symmetric shape

We investigate the topological charge of superposition of parallel identical vortex beams of arbitrary shape – either Laguerre-Gaussian beams or Bessel-Gaussian beams or some other vortex beams with a rotationally symmetric intensity distribution. It is known that if all beams in the superposition a...

Full description

Saved in:
Bibliographic Details
Main Authors: A.A. Kovalev, V.V. Kotlyar, A.G. Nalimov
Format: Article
Language:English
Published: Samara National Research University 2025-04-01
Series:Компьютерная оптика
Subjects:
Online Access:https://computeroptics.ru/eng/KO/Annot/KO49-2/490202e.html
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1849232893310664704
author A.A. Kovalev
V.V. Kotlyar
A.G. Nalimov
author_facet A.A. Kovalev
V.V. Kotlyar
A.G. Nalimov
author_sort A.A. Kovalev
collection DOAJ
description We investigate the topological charge of superposition of parallel identical vortex beams of arbitrary shape – either Laguerre-Gaussian beams or Bessel-Gaussian beams or some other vortex beams with a rotationally symmetric intensity distribution. It is known that if all beams in the superposition are in-phase then the topological charge of the whole superposition is equal to the topological charge of each constituent beam, n. We show that if the beams are arranged on a circle with their phases linearly increasing on this circle, so that the phase difference between the neighboring beams equals 2πp/N, where N is the number of beams and р is integer, then the superposition has the topological charge n+p.
format Article
id doaj-art-40fa6b6c779c400fa5c84b4b35b5bea2
institution Kabale University
issn 0134-2452
2412-6179
language English
publishDate 2025-04-01
publisher Samara National Research University
record_format Article
series Компьютерная оптика
spelling doaj-art-40fa6b6c779c400fa5c84b4b35b5bea22025-08-20T16:44:55ZengSamara National Research UniversityКомпьютерная оптика0134-24522412-61792025-04-0149217317910.18287/2412-6179-CO-1518Common topological charge of several similar off-axis vortex light beams of arbitrary rotationally symmetric shapeA.A. Kovalev0V.V. Kotlyar1A.G. Nalimov2Image Processing Systems Institute, NRC "Kurchatov Institute"; Samara National Research UniversityImage Processing Systems Institute, NRC "Kurchatov Institute"; Samara National Research UniversityImage Processing Systems Institute, NRC "Kurchatov Institute"; Samara National Research UniversityWe investigate the topological charge of superposition of parallel identical vortex beams of arbitrary shape – either Laguerre-Gaussian beams or Bessel-Gaussian beams or some other vortex beams with a rotationally symmetric intensity distribution. It is known that if all beams in the superposition are in-phase then the topological charge of the whole superposition is equal to the topological charge of each constituent beam, n. We show that if the beams are arranged on a circle with their phases linearly increasing on this circle, so that the phase difference between the neighboring beams equals 2πp/N, where N is the number of beams and р is integer, then the superposition has the topological charge n+p.https://computeroptics.ru/eng/KO/Annot/KO49-2/490202e.htmltopological chargesuperposition of parallel beamsvortex beam
spellingShingle A.A. Kovalev
V.V. Kotlyar
A.G. Nalimov
Common topological charge of several similar off-axis vortex light beams of arbitrary rotationally symmetric shape
Компьютерная оптика
topological charge
superposition of parallel beams
vortex beam
title Common topological charge of several similar off-axis vortex light beams of arbitrary rotationally symmetric shape
title_full Common topological charge of several similar off-axis vortex light beams of arbitrary rotationally symmetric shape
title_fullStr Common topological charge of several similar off-axis vortex light beams of arbitrary rotationally symmetric shape
title_full_unstemmed Common topological charge of several similar off-axis vortex light beams of arbitrary rotationally symmetric shape
title_short Common topological charge of several similar off-axis vortex light beams of arbitrary rotationally symmetric shape
title_sort common topological charge of several similar off axis vortex light beams of arbitrary rotationally symmetric shape
topic topological charge
superposition of parallel beams
vortex beam
url https://computeroptics.ru/eng/KO/Annot/KO49-2/490202e.html
work_keys_str_mv AT aakovalev commontopologicalchargeofseveralsimilaroffaxisvortexlightbeamsofarbitraryrotationallysymmetricshape
AT vvkotlyar commontopologicalchargeofseveralsimilaroffaxisvortexlightbeamsofarbitraryrotationallysymmetricshape
AT agnalimov commontopologicalchargeofseveralsimilaroffaxisvortexlightbeamsofarbitraryrotationallysymmetricshape