Stable dark solitons in PT-symmetric dual-core waveguides

Detalhes bibliográficos
Autor(a) principal: Bludov, Yuliy V.
Data de Publicação: 2013
Outros Autores: Konotop, Vladimir V., Malomed, B. A.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/1822/23637
Resumo: We construct dark solitons in the recently introduced model of the nonlinear dual-core coupler with the mutually balanced gain and loss applied to the two cores,which is a realization of parity-time symmetry in nonlinear optics. The main issue is stability of the dark solitons. The modulational stability of the continuous-wave background, which supports the dark solitons, is studied analytically, and the full stability is investigated in a numerical form via computation of eigenvalues for modes of small perturbations. Stability regions are thus identified in the parameter space of the system and verified in direct simulations. Collisions between stable dark solitons are briefly considered too.
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spelling Stable dark solitons in PT-symmetric dual-core waveguidesDark solitonPT-symmetryScience & TechnologyWe construct dark solitons in the recently introduced model of the nonlinear dual-core coupler with the mutually balanced gain and loss applied to the two cores,which is a realization of parity-time symmetry in nonlinear optics. The main issue is stability of the dark solitons. The modulational stability of the continuous-wave background, which supports the dark solitons, is studied analytically, and the full stability is investigated in a numerical form via computation of eigenvalues for modes of small perturbations. Stability regions are thus identified in the parameter space of the system and verified in direct simulations. Collisions between stable dark solitons are briefly considered too.Fundação para a Ciência e a Tecnologia (FCT)American Physical SocietyUniversidade do MinhoBludov, Yuliy V.Konotop, Vladimir V.Malomed, B. A.2013-01-172013-01-17T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/1822/23637eng1050-294710.1103/PhysRevA.87.013816http://link.aps.org/doi/10.1103/PhysRevA.87.013816info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-07-21T12:45:15Zoai:repositorium.sdum.uminho.pt:1822/23637Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T19:43:04.473518Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Stable dark solitons in PT-symmetric dual-core waveguides
title Stable dark solitons in PT-symmetric dual-core waveguides
spellingShingle Stable dark solitons in PT-symmetric dual-core waveguides
Bludov, Yuliy V.
Dark soliton
PT-symmetry
Science & Technology
title_short Stable dark solitons in PT-symmetric dual-core waveguides
title_full Stable dark solitons in PT-symmetric dual-core waveguides
title_fullStr Stable dark solitons in PT-symmetric dual-core waveguides
title_full_unstemmed Stable dark solitons in PT-symmetric dual-core waveguides
title_sort Stable dark solitons in PT-symmetric dual-core waveguides
author Bludov, Yuliy V.
author_facet Bludov, Yuliy V.
Konotop, Vladimir V.
Malomed, B. A.
author_role author
author2 Konotop, Vladimir V.
Malomed, B. A.
author2_role author
author
dc.contributor.none.fl_str_mv Universidade do Minho
dc.contributor.author.fl_str_mv Bludov, Yuliy V.
Konotop, Vladimir V.
Malomed, B. A.
dc.subject.por.fl_str_mv Dark soliton
PT-symmetry
Science & Technology
topic Dark soliton
PT-symmetry
Science & Technology
description We construct dark solitons in the recently introduced model of the nonlinear dual-core coupler with the mutually balanced gain and loss applied to the two cores,which is a realization of parity-time symmetry in nonlinear optics. The main issue is stability of the dark solitons. The modulational stability of the continuous-wave background, which supports the dark solitons, is studied analytically, and the full stability is investigated in a numerical form via computation of eigenvalues for modes of small perturbations. Stability regions are thus identified in the parameter space of the system and verified in direct simulations. Collisions between stable dark solitons are briefly considered too.
publishDate 2013
dc.date.none.fl_str_mv 2013-01-17
2013-01-17T00:00:00Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/1822/23637
url http://hdl.handle.net/1822/23637
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 1050-2947
10.1103/PhysRevA.87.013816
http://link.aps.org/doi/10.1103/PhysRevA.87.013816
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv American Physical Society
publisher.none.fl_str_mv American Physical Society
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
institution RCAAP
reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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