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Building Paraxial Optical Skyrmions Using Rational Maps

Cisowski, Claire; Ross, Calum; Franke-Arnold, Sonja; (2023) Building Paraxial Optical Skyrmions Using Rational Maps. Advanced Photonics Research , 4 (4) , Article 2200350. 10.1002/adpr.202200350. Green open access

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Abstract

A simple mathematical expression based on rational maps to describe all optical paraxial skyrmion known to date, including Néel-type and Bloch-type skyrmions, bimerons, and anti-skyrmions, is introduced. This expression is derived solely from topological considerations and outlines the rules that fully polarized paraxial light fields must obey to qualify as optical skyrmions. It is shown that rational maps can be implemented experimentally by superposing a pair of orthogonally polarized Laguerre–Gaussian modes. Novel optical skyrmion fields, called multi-skyrmions, are obtained upon generalizing the proposed expression, laying the foundation for the exploration of skyrmion nucleation and annihilation mechanisms in optics.

Type: Article
Title: Building Paraxial Optical Skyrmions Using Rational Maps
Open access status: An open access version is available from UCL Discovery
DOI: 10.1002/adpr.202200350
Publisher version: https://doi.org/10.1002/adpr.202200350
Language: English
Additional information: © 2023 The Authors. Advanced Photonics Research published by Wiley-VCH GmbH This is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited.
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics
URI: https://discovery-pp.ucl.ac.uk/id/eprint/10168388
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