Transformation of a high-order edge dislocation to optical vortices (spiral dislocations)

We theoretically show that an astigmatic transformation of an nth-order edge dislocation (a zero-intensity straight line) produces n optical elliptical vortices (spiral dislocations) with unit topological charge at the double focal distance from the cylindrical lens, located on a straight line perpe...

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Main Authors: V.V. Kotlyar, A.A. Kovalev, A.G. Nalimov
Format: Article
Language:English
Published: Samara National Research University 2021-06-01
Series:Компьютерная оптика
Subjects:
Online Access:http://computeroptics.ru/eng/KO/Annot/KO45-3/450302e.html
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author V.V. Kotlyar
A.A. Kovalev
A.G. Nalimov
author_facet V.V. Kotlyar
A.A. Kovalev
A.G. Nalimov
author_sort V.V. Kotlyar
collection DOAJ
description We theoretically show that an astigmatic transformation of an nth-order edge dislocation (a zero-intensity straight line) produces n optical elliptical vortices (spiral dislocations) with unit topological charge at the double focal distance from the cylindrical lens, located on a straight line perpendicular to the edge dislocation, at points whose coordinates are the roots of an nth-order Hermite polynomial. The orbital angular momentum of the edge dislocation is proportional to the order n.
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spelling doaj.art-65e1a320e32d4ce997a6b5e9b90d6dee2022-12-21T19:59:01ZengSamara National Research UniversityКомпьютерная оптика0134-24522412-61792021-06-0145331932310.18287/2412-6179-CO-855Transformation of a high-order edge dislocation to optical vortices (spiral dislocations)V.V. Kotlyar0A.A. Kovalev 1A.G. Nalimov2IPSI RAS – Branch of the FSRC "Crystallography and Photonics" RAS, 443001, Samara, Russia, Molodogvardeyskaya 151; Samara National Research University, 443086, Samara, Russia, Moskovskoye Shosse 34IPSI RAS – Branch of the FSRC "Crystallography and Photonics" RAS, 443001, Samara, Russia, Molodogvardeyskaya 151; Samara National Research University, 443086, Samara, Russia, Moskovskoye Shosse 34IPSI RAS – Branch of the FSRC "Crystallography and Photonics" RAS, 443001, Samara, Russia, Molodogvardeyskaya 151; Samara National Research University, 443086, Samara, Russia, Moskovskoye Shosse 34We theoretically show that an astigmatic transformation of an nth-order edge dislocation (a zero-intensity straight line) produces n optical elliptical vortices (spiral dislocations) with unit topological charge at the double focal distance from the cylindrical lens, located on a straight line perpendicular to the edge dislocation, at points whose coordinates are the roots of an nth-order Hermite polynomial. The orbital angular momentum of the edge dislocation is proportional to the order n.http://computeroptics.ru/eng/KO/Annot/KO45-3/450302e.htmlastigmatic transformationedge dislocationspiral dislocationoptical vortex
spellingShingle V.V. Kotlyar
A.A. Kovalev
A.G. Nalimov
Transformation of a high-order edge dislocation to optical vortices (spiral dislocations)
Компьютерная оптика
astigmatic transformation
edge dislocation
spiral dislocation
optical vortex
title Transformation of a high-order edge dislocation to optical vortices (spiral dislocations)
title_full Transformation of a high-order edge dislocation to optical vortices (spiral dislocations)
title_fullStr Transformation of a high-order edge dislocation to optical vortices (spiral dislocations)
title_full_unstemmed Transformation of a high-order edge dislocation to optical vortices (spiral dislocations)
title_short Transformation of a high-order edge dislocation to optical vortices (spiral dislocations)
title_sort transformation of a high order edge dislocation to optical vortices spiral dislocations
topic astigmatic transformation
edge dislocation
spiral dislocation
optical vortex
url http://computeroptics.ru/eng/KO/Annot/KO45-3/450302e.html
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