Transformation matrices for the Mueller–Jones formalism

The Mueller–Jones (MJ) or pure Mueller matrix formulation has been reported by using two different matrix transformations in a condensed representation. The possibility to find other transformation matrices is explored. A complete set of unitary operators (R) is found to be closely related with the...

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Detalles Bibliográficos
Autores: Espinosa Luna, Rafael, Rodríguez Carrera, David, Hinojosa Ruiz, Sinhué Lizandro, Bernabeu Martínez, Eusebio
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:20.500.14352/51161
Acceso en línea:https://hdl.handle.net/20.500.14352/51161
Access Level:acceso abierto
Palabra clave:535
Scattering
Depolarization
Surfaces
Elements
Óptica (Física)
2209.19 Óptica Física
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spelling Transformation matrices for the Mueller–Jones formalismEspinosa Luna, RafaelRodríguez Carrera, DavidHinojosa Ruiz, Sinhué LizandroBernabeu Martínez, Eusebio535ScatteringDepolarizationSurfacesElementsÓptica (Física)2209.19 Óptica FísicaThe Mueller–Jones (MJ) or pure Mueller matrix formulation has been reported by using two different matrix transformations in a condensed representation. The possibility to find other transformation matrices is explored. A complete set of unitary operators (R) is found to be closely related with the MJ matrices and with the evolution of pure states on the Poincaré sphere surface. We propose an alternative deduction for the condensed representation of the MJ matrices, obtained by using the Kronecker product operation and use of R unitary matrices as a tool to combine different Mueller matrices and changes of polarized states on the Poincarè sphere surface. Finally, it is shown explicitly that the columns of the transformation matrices are the eigenvectors of the MJ matrix associated to a non-depolarizing optical system and a corollary is established as a criterion to differentiate a Mueller matrix from an MJ matrix.Gustav Fischer VerlagUniversidad Complutense de Madrid20082008-01-0120082008-01-01journal articlehttp://purl.org/coar/resource_type/c_6501info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/20.500.14352/51161reponame:Docta Complutenseinstname:Universidad Complutense de Madrid (UCM)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:docta.ucm.es:20.500.14352/511612026-06-02T12:44:21Z
dc.title.none.fl_str_mv Transformation matrices for the Mueller–Jones formalism
title Transformation matrices for the Mueller–Jones formalism
spellingShingle Transformation matrices for the Mueller–Jones formalism
Espinosa Luna, Rafael
535
Scattering
Depolarization
Surfaces
Elements
Óptica (Física)
2209.19 Óptica Física
title_short Transformation matrices for the Mueller–Jones formalism
title_full Transformation matrices for the Mueller–Jones formalism
title_fullStr Transformation matrices for the Mueller–Jones formalism
title_full_unstemmed Transformation matrices for the Mueller–Jones formalism
title_sort Transformation matrices for the Mueller–Jones formalism
dc.creator.none.fl_str_mv Espinosa Luna, Rafael
Rodríguez Carrera, David
Hinojosa Ruiz, Sinhué Lizandro
Bernabeu Martínez, Eusebio
author Espinosa Luna, Rafael
author_facet Espinosa Luna, Rafael
Rodríguez Carrera, David
Hinojosa Ruiz, Sinhué Lizandro
Bernabeu Martínez, Eusebio
author_role author
author2 Rodríguez Carrera, David
Hinojosa Ruiz, Sinhué Lizandro
Bernabeu Martínez, Eusebio
author2_role author
author
author
dc.contributor.none.fl_str_mv Universidad Complutense de Madrid
dc.subject.none.fl_str_mv 535
Scattering
Depolarization
Surfaces
Elements
Óptica (Física)
2209.19 Óptica Física
topic 535
Scattering
Depolarization
Surfaces
Elements
Óptica (Física)
2209.19 Óptica Física
description The Mueller–Jones (MJ) or pure Mueller matrix formulation has been reported by using two different matrix transformations in a condensed representation. The possibility to find other transformation matrices is explored. A complete set of unitary operators (R) is found to be closely related with the MJ matrices and with the evolution of pure states on the Poincaré sphere surface. We propose an alternative deduction for the condensed representation of the MJ matrices, obtained by using the Kronecker product operation and use of R unitary matrices as a tool to combine different Mueller matrices and changes of polarized states on the Poincarè sphere surface. Finally, it is shown explicitly that the columns of the transformation matrices are the eigenvectors of the MJ matrix associated to a non-depolarizing optical system and a corollary is established as a criterion to differentiate a Mueller matrix from an MJ matrix.
publishDate 2008
dc.date.none.fl_str_mv 2008
2008-01-01
2008
2008-01-01
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/20.500.14352/51161
url https://hdl.handle.net/20.500.14352/51161
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 Gustav Fischer Verlag
publisher.none.fl_str_mv Gustav Fischer Verlag
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 15,198674

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