The variational principle in transformation optics engineering and some applications

Transformation optics specializes in the engineering of advanced optical devices, and in combination with differential geometry it allows to control electromagnetic fields with artificial media in an unprecedented manner. In this work, we model transformation optics in an inherently covariant fashio...

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Autores: García Meca, Carlos, Tung, Michael Ming-Sha|||0000-0002-8760-0927
Tipo de recurso: artículo
Fecha de publicación:2013
País:España
Institución:Universitat Politècnica de València (UPV)
Repositorio:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Idioma:inglés
OAI Identifier:oai:riunet.upv.es:10251/50014
Acceso en línea:https://riunet.upv.es/handle/10251/50014
Access Level:acceso abierto
Palabra clave:Lagrangian formalism and models
Variational principle
Differential geometry
Transformation optics
Nano-technology engineering
MATEMATICA APLICADA
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spelling The variational principle in transformation optics engineering and some applicationsGarcía Meca, CarlosTung, Michael Ming-Sha|||0000-0002-8760-0927Lagrangian formalism and modelsVariational principleDifferential geometryTransformation opticsNano-technology engineeringMATEMATICA APLICADATransformation optics specializes in the engineering of advanced optical devices, and in combination with differential geometry it allows to control electromagnetic fields with artificial media in an unprecedented manner. In this work, we model transformation optics in an inherently covariant fashion starting with a fundamental Lagrangian function. As an application, we present the construction of a flat reflectionless immersion lens whose superior performance is important to applications in bio- and nano-technology.This work has been supported by the Spanish Ministerio de Ciencia e Innovacion under the grant MTM2009-08587, contract CSD2008-00066, and the FPU programme.ElsevierDepartamento de Matemática AplicadaEscuela Técnica Superior de Ingeniería Aeroespacial y Diseño IndustrialInstituto Universitario de Matemática MultidisciplinarMinisterio de Ciencia e InnovaciónRepositorio Institucional de la Universitat Politècnica de València Riunet20132013-01-01journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfapplication/pdfhttps://riunet.upv.es/handle/10251/50014reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valénciainstname:Universitat Politècnica de València (UPV)InglésengMinisterio de Ciencia e Innovación http://dx.doi.org/10.13039/501100004837 MTM2009-08587 Ecuaciones Diferenciales Aleatorias Y AplicacionesMinisterio de Ciencia e Innovación http://dx.doi.org/10.13039/501100004837 CSD2008-00066 Ingeniería de Metamaterialesopen accesshttp://purl.org/coar/access_right/c_abf2Reserva de todos los derechoshttp://rightsstatements.org/vocab/InC/1.0/info:eu-repo/semantics/openAccessoai:riunet.upv.es:10251/500142026-06-13T07:49:27Z
dc.title.none.fl_str_mv The variational principle in transformation optics engineering and some applications
title The variational principle in transformation optics engineering and some applications
spellingShingle The variational principle in transformation optics engineering and some applications
García Meca, Carlos
Lagrangian formalism and models
Variational principle
Differential geometry
Transformation optics
Nano-technology engineering
MATEMATICA APLICADA
title_short The variational principle in transformation optics engineering and some applications
title_full The variational principle in transformation optics engineering and some applications
title_fullStr The variational principle in transformation optics engineering and some applications
title_full_unstemmed The variational principle in transformation optics engineering and some applications
title_sort The variational principle in transformation optics engineering and some applications
dc.creator.none.fl_str_mv García Meca, Carlos
Tung, Michael Ming-Sha|||0000-0002-8760-0927
author García Meca, Carlos
author_facet García Meca, Carlos
Tung, Michael Ming-Sha|||0000-0002-8760-0927
author_role author
author2 Tung, Michael Ming-Sha|||0000-0002-8760-0927
author2_role author
dc.contributor.none.fl_str_mv Departamento de Matemática Aplicada
Escuela Técnica Superior de Ingeniería Aeroespacial y Diseño Industrial
Instituto Universitario de Matemática Multidisciplinar
Ministerio de Ciencia e Innovación
Repositorio Institucional de la Universitat Politècnica de València Riunet
dc.subject.none.fl_str_mv Lagrangian formalism and models
Variational principle
Differential geometry
Transformation optics
Nano-technology engineering
MATEMATICA APLICADA
topic Lagrangian formalism and models
Variational principle
Differential geometry
Transformation optics
Nano-technology engineering
MATEMATICA APLICADA
description Transformation optics specializes in the engineering of advanced optical devices, and in combination with differential geometry it allows to control electromagnetic fields with artificial media in an unprecedented manner. In this work, we model transformation optics in an inherently covariant fashion starting with a fundamental Lagrangian function. As an application, we present the construction of a flat reflectionless immersion lens whose superior performance is important to applications in bio- and nano-technology.
publishDate 2013
dc.date.none.fl_str_mv 2013
2013-01-01
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://riunet.upv.es/handle/10251/50014
url https://riunet.upv.es/handle/10251/50014
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Ministerio de Ciencia e Innovación http://dx.doi.org/10.13039/501100004837 MTM2009-08587 Ecuaciones Diferenciales Aleatorias Y Aplicaciones
Ministerio de Ciencia e Innovación http://dx.doi.org/10.13039/501100004837 CSD2008-00066 Ingeniería de Metamateriales
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Reserva de todos los derechos
http://rightsstatements.org/vocab/InC/1.0/
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
Reserva de todos los derechos
http://rightsstatements.org/vocab/InC/1.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
instname:Universitat Politècnica de València (UPV)
instname_str Universitat Politècnica de València (UPV)
reponame_str RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
collection RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
repository.name.fl_str_mv
repository.mail.fl_str_mv
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