Rotation and gyration of finite two-dimensional modes

Hermite-Gauss and Laguerre-Gauss modes of a continuous optical field in two dimensions can be obtained from each other through paraxial optical setups that produce rotations in (four-dimensional) phase space. These transformations build the SU(2) Fourier group that is represented by rigid rotations...

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Detalles Bibliográficos
Autores: Wolf, Kurt Bernardo, Alieva Krasheninnikova, Tatiana
Tipo de recurso: artículo
Fecha de publicación:2008
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/51265
Acceso en línea:https://hdl.handle.net/20.500.14352/51265
Access Level:acceso abierto
Palabra clave:535
Fractional fourier-transforms
Orbital angular-momentum
Systems
Oscillator
Geometry
Dynamics
Óptica (Física)
2209.19 Óptica Física
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repository_id_str
spelling Rotation and gyration of finite two-dimensional modesWolf, Kurt BernardoAlieva Krasheninnikova, Tatiana535Fractional fourier-transformsOrbital angular-momentumSystemsOscillatorGeometryDynamicsÓptica (Física)2209.19 Óptica FísicaHermite-Gauss and Laguerre-Gauss modes of a continuous optical field in two dimensions can be obtained from each other through paraxial optical setups that produce rotations in (four-dimensional) phase space. These transformations build the SU(2) Fourier group that is represented by rigid rotations of the Poincare sphere. In finite systems, where the emitters and the sensors are in N x N square pixellated arrays, one defines corresponding finite orthonormal and complete sets of two-dimensional Kravchuk modes. Through the importation of symmetry from the continuous case, the transformations of the Fourier group are applied on the finite modes.Optical Society of AmericaUniversidad Complutense de Madrid20082008-02-0120082008-02-01journal articlehttp://purl.org/coar/resource_type/c_6501info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/20.500.14352/51265reponame:Docta Complutenseinstname:Universidad Complutense de Madrid (UCM)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:docta.ucm.es:20.500.14352/512652026-06-02T12:44:21Z
dc.title.none.fl_str_mv Rotation and gyration of finite two-dimensional modes
title Rotation and gyration of finite two-dimensional modes
spellingShingle Rotation and gyration of finite two-dimensional modes
Wolf, Kurt Bernardo
535
Fractional fourier-transforms
Orbital angular-momentum
Systems
Oscillator
Geometry
Dynamics
Óptica (Física)
2209.19 Óptica Física
title_short Rotation and gyration of finite two-dimensional modes
title_full Rotation and gyration of finite two-dimensional modes
title_fullStr Rotation and gyration of finite two-dimensional modes
title_full_unstemmed Rotation and gyration of finite two-dimensional modes
title_sort Rotation and gyration of finite two-dimensional modes
dc.creator.none.fl_str_mv Wolf, Kurt Bernardo
Alieva Krasheninnikova, Tatiana
author Wolf, Kurt Bernardo
author_facet Wolf, Kurt Bernardo
Alieva Krasheninnikova, Tatiana
author_role author
author2 Alieva Krasheninnikova, Tatiana
author2_role author
dc.contributor.none.fl_str_mv Universidad Complutense de Madrid
dc.subject.none.fl_str_mv 535
Fractional fourier-transforms
Orbital angular-momentum
Systems
Oscillator
Geometry
Dynamics
Óptica (Física)
2209.19 Óptica Física
topic 535
Fractional fourier-transforms
Orbital angular-momentum
Systems
Oscillator
Geometry
Dynamics
Óptica (Física)
2209.19 Óptica Física
description Hermite-Gauss and Laguerre-Gauss modes of a continuous optical field in two dimensions can be obtained from each other through paraxial optical setups that produce rotations in (four-dimensional) phase space. These transformations build the SU(2) Fourier group that is represented by rigid rotations of the Poincare sphere. In finite systems, where the emitters and the sensors are in N x N square pixellated arrays, one defines corresponding finite orthonormal and complete sets of two-dimensional Kravchuk modes. Through the importation of symmetry from the continuous case, the transformations of the Fourier group are applied on the finite modes.
publishDate 2008
dc.date.none.fl_str_mv 2008
2008-02-01
2008
2008-02-01
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/20.500.14352/51265
url https://hdl.handle.net/20.500.14352/51265
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
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score 15,300724

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