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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Format: | Article |
Language: | English |
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Samara National Research University
2021-06-01
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Series: | Компьютерная оптика |
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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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format | Article |
id | doaj.art-65e1a320e32d4ce997a6b5e9b90d6dee |
institution | Directory Open Access Journal |
issn | 0134-2452 2412-6179 |
language | English |
last_indexed | 2024-12-20T00:59:36Z |
publishDate | 2021-06-01 |
publisher | Samara National Research University |
record_format | Article |
series | Компьютерная оптика |
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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