Codimension 2 and 3 in a ring cavity with eliptically polarized electromagnetic waves

We study pattern formation on the plane transverse to propagation direction, in a ring cavity filled with a Kerr-like medium, subject to an elliptically polarized incoming field, by means of two coupled Lugiato–Lefever equations. We consider a wide range of possible values for the coupling parameter...

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Detalhes bibliográficos
Autores: Mártin, Daniel Alejandro, Hoyuelos, Miguel Luis
Formato: artículo
Estado:Versión publicada
Fecha de publicación:2013
País:Argentina
Recursos:Consejo Nacional de Investigaciones Científicas y Técnicas
Repositorio:CONICET Digital (CONICET)
Idioma:inglés
OAI Identifier:oai:ri.conicet.gov.ar:11336/8204
Acesso em linha:http://hdl.handle.net/11336/8204
Access Level:acceso abierto
Palavra-chave:Lugiato-Lefever Equation
Elliptical Polarization
Transverse Pattern Formation
Turing-Turing Codimension 2
https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
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spelling Codimension 2 and 3 in a ring cavity with eliptically polarized electromagnetic wavesMártin, Daniel AlejandroHoyuelos, Miguel LuisLugiato-Lefever EquationElliptical PolarizationTransverse Pattern FormationTuring-Turing Codimension 2https://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We study pattern formation on the plane transverse to propagation direction, in a ring cavity filled with a Kerr-like medium, subject to an elliptically polarized incoming field, by means of two coupled Lugiato–Lefever equations. We consider a wide range of possible values for the coupling parameter between different polarizations, View the MathML source, as may happen in composite materials. Positive and also negative refraction index materials are considered. Examples of marginal instability diagrams are shown. It is shown that, within the model, instabilities cannot be of codimension higher than 3. A method for finding parameters for which codimension 2 or 3 takes place is given. The method allows us to choose parameters for which unstable wavenumbers fulfill different relations. Numerical integration results where different instabilities coexist and compete are shown.Fil: Mártin, Daniel Alejandro. Universidad Nacional de Mar del Plata. Facultad de Ciencias Exactas y Naturales. Departamento de Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Mar del Plata. Instituto de Investigaciones Físicas de Mar del Plata; ArgentinaFil: Hoyuelos, Miguel Luis. Universidad Nacional de Mar del Plata. Facultad de Ciencias Exactas y Naturales. Departamento de Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Mar del Plata. Instituto de Investigaciones Físicas de Mar del Plata; ArgentinaElsevier2013-09info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/8204Mártin, Daniel Alejandro; Hoyuelos, Miguel Luis; Codimension 2 and 3 in a ring cavity with eliptically polarized electromagnetic waves; Elsevier; Physica D - Nonlinear Phenomena; 259; 9-2013; 37-470167-2789enginfo:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S0167278913001486info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1508.07356info:eu-repo/semantics/altIdentifier/doi/10.1016/j.physd.2013.05.008info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-nd/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2024-05-08T13:41:32Zoai:ri.conicet.gov.ar:11336/8204instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982024-05-08 13:41:32.29CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Codimension 2 and 3 in a ring cavity with eliptically polarized electromagnetic waves
title Codimension 2 and 3 in a ring cavity with eliptically polarized electromagnetic waves
spellingShingle Codimension 2 and 3 in a ring cavity with eliptically polarized electromagnetic waves
Mártin, Daniel Alejandro
Lugiato-Lefever Equation
Elliptical Polarization
Transverse Pattern Formation
Turing-Turing Codimension 2
https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
title_short Codimension 2 and 3 in a ring cavity with eliptically polarized electromagnetic waves
title_full Codimension 2 and 3 in a ring cavity with eliptically polarized electromagnetic waves
title_fullStr Codimension 2 and 3 in a ring cavity with eliptically polarized electromagnetic waves
title_full_unstemmed Codimension 2 and 3 in a ring cavity with eliptically polarized electromagnetic waves
title_sort Codimension 2 and 3 in a ring cavity with eliptically polarized electromagnetic waves
dc.creator.none.fl_str_mv Mártin, Daniel Alejandro
Hoyuelos, Miguel Luis
author Mártin, Daniel Alejandro
author_facet Mártin, Daniel Alejandro
Hoyuelos, Miguel Luis
author_role author
author2 Hoyuelos, Miguel Luis
author2_role author
dc.subject.none.fl_str_mv Lugiato-Lefever Equation
Elliptical Polarization
Transverse Pattern Formation
Turing-Turing Codimension 2
https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
topic Lugiato-Lefever Equation
Elliptical Polarization
Transverse Pattern Formation
Turing-Turing Codimension 2
https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
description We study pattern formation on the plane transverse to propagation direction, in a ring cavity filled with a Kerr-like medium, subject to an elliptically polarized incoming field, by means of two coupled Lugiato–Lefever equations. We consider a wide range of possible values for the coupling parameter between different polarizations, View the MathML source, as may happen in composite materials. Positive and also negative refraction index materials are considered. Examples of marginal instability diagrams are shown. It is shown that, within the model, instabilities cannot be of codimension higher than 3. A method for finding parameters for which codimension 2 or 3 takes place is given. The method allows us to choose parameters for which unstable wavenumbers fulfill different relations. Numerical integration results where different instabilities coexist and compete are shown.
publishDate 2013
dc.date.none.fl_str_mv 2013-09
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/8204
Mártin, Daniel Alejandro; Hoyuelos, Miguel Luis; Codimension 2 and 3 in a ring cavity with eliptically polarized electromagnetic waves; Elsevier; Physica D - Nonlinear Phenomena; 259; 9-2013; 37-47
0167-2789
url http://hdl.handle.net/11336/8204
identifier_str_mv Mártin, Daniel Alejandro; Hoyuelos, Miguel Luis; Codimension 2 and 3 in a ring cavity with eliptically polarized electromagnetic waves; Elsevier; Physica D - Nonlinear Phenomena; 259; 9-2013; 37-47
0167-2789
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S0167278913001486
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1508.07356
info:eu-repo/semantics/altIdentifier/doi/10.1016/j.physd.2013.05.008
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 15.812429

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