Orthonormal mode sets for the two-dimensional fractional Fourier transformation

A family of orthonormal mode sets arises when Hermite-Gauss modes propagate through lossless first-order optical systems. It is shown that the modes at the output of the system are eigenfunctions for the symmetric fractional Fourier transformation if and only if the system is described by an orthosy...

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Detalles Bibliográficos
Autores: Alieva Krasheninnikova, Tatiana, Bastiaans, Martin J.
Tipo de recurso: artículo
Fecha de publicación:2007
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/51268
Acceso en línea:https://hdl.handle.net/20.500.14352/51268
Access Level:acceso abierto
Palabra clave:535
Wigner representation
Optical-systems
Gaussian beams
Óptica (Física)
2209.19 Óptica Física
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oai_identifier_str oai:docta.ucm.es:20.500.14352/51268
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repository_id_str
spelling Orthonormal mode sets for the two-dimensional fractional Fourier transformationAlieva Krasheninnikova, TatianaBastiaans, Martin J.535Wigner representationOptical-systemsGaussian beamsÓptica (Física)2209.19 Óptica FísicaA family of orthonormal mode sets arises when Hermite-Gauss modes propagate through lossless first-order optical systems. It is shown that the modes at the output of the system are eigenfunctions for the symmetric fractional Fourier transformation if and only if the system is described by an orthosymplectic ray transformation matrix. Essentially new orthonormal mode sets can be obtained by letting helical Laguerre-Gauss modes propagate through an antisymmetric fractional Fourier transformer. The properties of these modes and their representation on the orbital Poincare sphere are studied.Optical Society of AmericaUniversidad Complutense de Madrid20072007-05-1520072007-05-15journal articlehttp://purl.org/coar/resource_type/c_6501info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/20.500.14352/51268reponame:Docta Complutenseinstname:Universidad Complutense de Madrid (UCM)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:docta.ucm.es:20.500.14352/512682026-06-02T12:44:21Z
dc.title.none.fl_str_mv Orthonormal mode sets for the two-dimensional fractional Fourier transformation
title Orthonormal mode sets for the two-dimensional fractional Fourier transformation
spellingShingle Orthonormal mode sets for the two-dimensional fractional Fourier transformation
Alieva Krasheninnikova, Tatiana
535
Wigner representation
Optical-systems
Gaussian beams
Óptica (Física)
2209.19 Óptica Física
title_short Orthonormal mode sets for the two-dimensional fractional Fourier transformation
title_full Orthonormal mode sets for the two-dimensional fractional Fourier transformation
title_fullStr Orthonormal mode sets for the two-dimensional fractional Fourier transformation
title_full_unstemmed Orthonormal mode sets for the two-dimensional fractional Fourier transformation
title_sort Orthonormal mode sets for the two-dimensional fractional Fourier transformation
dc.creator.none.fl_str_mv Alieva Krasheninnikova, Tatiana
Bastiaans, Martin J.
author Alieva Krasheninnikova, Tatiana
author_facet Alieva Krasheninnikova, Tatiana
Bastiaans, Martin J.
author_role author
author2 Bastiaans, Martin J.
author2_role author
dc.contributor.none.fl_str_mv Universidad Complutense de Madrid
dc.subject.none.fl_str_mv 535
Wigner representation
Optical-systems
Gaussian beams
Óptica (Física)
2209.19 Óptica Física
topic 535
Wigner representation
Optical-systems
Gaussian beams
Óptica (Física)
2209.19 Óptica Física
description A family of orthonormal mode sets arises when Hermite-Gauss modes propagate through lossless first-order optical systems. It is shown that the modes at the output of the system are eigenfunctions for the symmetric fractional Fourier transformation if and only if the system is described by an orthosymplectic ray transformation matrix. Essentially new orthonormal mode sets can be obtained by letting helical Laguerre-Gauss modes propagate through an antisymmetric fractional Fourier transformer. The properties of these modes and their representation on the orbital Poincare sphere are studied.
publishDate 2007
dc.date.none.fl_str_mv 2007
2007-05-15
2007
2007-05-15
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/20.500.14352/51268
url https://hdl.handle.net/20.500.14352/51268
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Optical Society of America
publisher.none.fl_str_mv Optical Society of America
dc.source.none.fl_str_mv reponame:Docta Complutense
instname:Universidad Complutense de Madrid (UCM)
instname_str Universidad Complutense de Madrid (UCM)
reponame_str Docta Complutense
collection Docta Complutense
repository.name.fl_str_mv
repository.mail.fl_str_mv
_version_ 1869402898186633216
score 15.300724

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