Extending the degree of polarization concept to higher-order and orbital angular momentum Poincaré spheres

In this work, the density matrix formalism that describes any standard polarization state (fully or partially polarized) is applied to describe vector beams and spatial modes with orbital angular momentum (OAM). Within this framework, we provide a comprehensive description of the mapping between the...

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Detalhes bibliográficos
Autores: Marco, David, Sánchez-López, María del Mar, Hernández García, Carlos, Moreno, Ignacio
Formato: artículo
Estado:Versión publicada
Fecha de publicación:2022
País:España
Recursos:Universidad de Salamanca (USAL)
Repositorio:GREDOS. Repositorio Institucional de la Universidad de Salamanca
OAI Identifier:oai:gredos.usal.es:10366/152262
Acesso em linha:http://hdl.handle.net/10366/152262
Access Level:acceso abierto
Palavra-chave:orbital angular momentum
Poincaré sphere
degree of polarization
partially polarized light
vector beams
optical vortices
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spelling Extending the degree of polarization concept to higher-order and orbital angular momentum Poincaré spheresMarco, DavidSánchez-López, María del MarHernández García, CarlosMoreno, Ignacioorbital angular momentumPoincaré spheredegree of polarizationpartially polarized lightvector beamsoptical vorticesIn this work, the density matrix formalism that describes any standard polarization state (fully or partially polarized) is applied to describe vector beams and spatial modes with orbital angular momentum (OAM). Within this framework, we provide a comprehensive description of the mapping between the corresponding Poincaré spheres (PSs); namely: the polarization PS, the higher-order PS (HOPS) and the orbital angular momentum PS (OAMPS). Whereas previous works focus on states located on the surface of these spheres, here we study vector and scalar modes lying inside the corresponding PS. We show that they can be obtained as the incoherent superposition of two orthogonal vector (or scalar) modes lying on the corresponding sphere surface. The degree of polarization (DoP) of a classical polarization state is thus extended to vector beams and OAM modes. Experimental results validate the theoretical physical interpretation, where we used a q-plate to map any state in the polarization PS onto the HOPS, and a linear polarizer to finally project onto the OAMPS. Three input states to such q-plate-polarizer system are considered: totally unpolarized, partially polarized, and fully polarized light. For that purpose, we design a new polarization state generator, based on two geometric phase gratings and a randomly polarized laser, which generates partially polarized light in an efficient and controlled way. We believe that the extension of the DoP concept to vector and OAM beams introduces a degree of freedom to describe spatially polarization and phase variant light beams.202320232022info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttp://hdl.handle.net/10366/152262reponame:GREDOS. Repositorio Institucional de la Universidad de Salamancainstname:Universidad de Salamanca (USAL)InglésRYC-2017-22745info:eu-repo/grantAgreement/EC/H2020/851201info:eu-repo/semantics/openAccessoai:gredos.usal.es:10366/1522622026-06-07T06:28:51Z
dc.title.none.fl_str_mv Extending the degree of polarization concept to higher-order and orbital angular momentum Poincaré spheres
title Extending the degree of polarization concept to higher-order and orbital angular momentum Poincaré spheres
spellingShingle Extending the degree of polarization concept to higher-order and orbital angular momentum Poincaré spheres
Marco, David
orbital angular momentum
Poincaré sphere
degree of polarization
partially polarized light
vector beams
optical vortices
title_short Extending the degree of polarization concept to higher-order and orbital angular momentum Poincaré spheres
title_full Extending the degree of polarization concept to higher-order and orbital angular momentum Poincaré spheres
title_fullStr Extending the degree of polarization concept to higher-order and orbital angular momentum Poincaré spheres
title_full_unstemmed Extending the degree of polarization concept to higher-order and orbital angular momentum Poincaré spheres
title_sort Extending the degree of polarization concept to higher-order and orbital angular momentum Poincaré spheres
dc.creator.none.fl_str_mv Marco, David
Sánchez-López, María del Mar
Hernández García, Carlos
Moreno, Ignacio
author Marco, David
author_facet Marco, David
Sánchez-López, María del Mar
Hernández García, Carlos
Moreno, Ignacio
author_role author
author2 Sánchez-López, María del Mar
Hernández García, Carlos
Moreno, Ignacio
author2_role author
author
author
dc.subject.none.fl_str_mv orbital angular momentum
Poincaré sphere
degree of polarization
partially polarized light
vector beams
optical vortices
topic orbital angular momentum
Poincaré sphere
degree of polarization
partially polarized light
vector beams
optical vortices
description In this work, the density matrix formalism that describes any standard polarization state (fully or partially polarized) is applied to describe vector beams and spatial modes with orbital angular momentum (OAM). Within this framework, we provide a comprehensive description of the mapping between the corresponding Poincaré spheres (PSs); namely: the polarization PS, the higher-order PS (HOPS) and the orbital angular momentum PS (OAMPS). Whereas previous works focus on states located on the surface of these spheres, here we study vector and scalar modes lying inside the corresponding PS. We show that they can be obtained as the incoherent superposition of two orthogonal vector (or scalar) modes lying on the corresponding sphere surface. The degree of polarization (DoP) of a classical polarization state is thus extended to vector beams and OAM modes. Experimental results validate the theoretical physical interpretation, where we used a q-plate to map any state in the polarization PS onto the HOPS, and a linear polarizer to finally project onto the OAMPS. Three input states to such q-plate-polarizer system are considered: totally unpolarized, partially polarized, and fully polarized light. For that purpose, we design a new polarization state generator, based on two geometric phase gratings and a randomly polarized laser, which generates partially polarized light in an efficient and controlled way. We believe that the extension of the DoP concept to vector and OAM beams introduces a degree of freedom to describe spatially polarization and phase variant light beams.
publishDate 2022
dc.date.none.fl_str_mv 2022
2023
2023
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/10366/152262
url http://hdl.handle.net/10366/152262
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv RYC-2017-22745
info:eu-repo/grantAgreement/EC/H2020/851201
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:GREDOS. Repositorio Institucional de la Universidad de Salamanca
instname:Universidad de Salamanca (USAL)
instname_str Universidad de Salamanca (USAL)
reponame_str GREDOS. Repositorio Institucional de la Universidad de Salamanca
collection GREDOS. Repositorio Institucional de la Universidad de Salamanca
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,812455

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