Localized modes in χ (2 ) media with PT-symmetric localized potential
Autor(a) principal: | |
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Data de Publicação: | 2012 |
Outros Autores: | , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1103/PhysRevA.86.053815 http://hdl.handle.net/11449/227034 |
Resumo: | We study the existence and stability of solitons in the quadratic nonlinear media with spatially localized parity-time- (PT)-symmetric modulation of the linear refractive index. Families of stable one- and two-hump solitons are found. The properties of nonlinear modes bifurcating from a linear limit of small fundamental harmonic fields are investigated. It is shown that the fundamental branch, bifurcating from the linear mode of the fundamental harmonic is limited in power. The power maximum decreases with the strength of the imaginary part of the refractive index. The modes bifurcating from the linear mode of the second harmonic can exist even above the PT-symmetry-breaking threshold. We found that the fundamental branch bifurcating from the linear limit can undergo a secondary bifurcation colliding with a branch of two-hump soliton solutions. The stability intervals for different values of the propagation constant and gain or loss gradient are obtained. The examples of dynamics and excitations of solitons obtained by numerical simulations are also given. © 2012 American Physical Society. |
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Repositório Institucional da UNESP |
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Localized modes in χ (2 ) media with PT-symmetric localized potentialWe study the existence and stability of solitons in the quadratic nonlinear media with spatially localized parity-time- (PT)-symmetric modulation of the linear refractive index. Families of stable one- and two-hump solitons are found. The properties of nonlinear modes bifurcating from a linear limit of small fundamental harmonic fields are investigated. It is shown that the fundamental branch, bifurcating from the linear mode of the fundamental harmonic is limited in power. The power maximum decreases with the strength of the imaginary part of the refractive index. The modes bifurcating from the linear mode of the second harmonic can exist even above the PT-symmetry-breaking threshold. We found that the fundamental branch bifurcating from the linear limit can undergo a secondary bifurcation colliding with a branch of two-hump soliton solutions. The stability intervals for different values of the propagation constant and gain or loss gradient are obtained. The examples of dynamics and excitations of solitons obtained by numerical simulations are also given. © 2012 American Physical Society.Universidade Federal de Alagoas Campus A. C. Simões Cidade Universitária, Avenida Lourival Melo Mota, s/n, Maceió Alagoas 57072-900Departamento de Física Centro de Física Teórica e Computacional Universidade de Lisboa, Avenida Professor Gama Pinto 2, Lisboa 1649-003Instituto de Fisica Teórica Universidade Estadual Paulista, Rua Dr. Bento Teobaldo Ferraz, 271 Barra Funda, Sao Paulo, Codigo de Enderecamento Postal 01140-070Instituto de Fisica Teórica Universidade Estadual Paulista, Rua Dr. Bento Teobaldo Ferraz, 271 Barra Funda, Sao Paulo, Codigo de Enderecamento Postal 01140-070Cidade UniversitáriaUniversidade de LisboaUniversidade Estadual Paulista (UNESP)Moreira, F. C.Abdullaev, F. Kh. [UNESP]Konotop, V. V.Yulin, A. V.2022-04-29T06:01:23Z2022-04-29T06:01:23Z2012-11-15info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://dx.doi.org/10.1103/PhysRevA.86.053815Physical Review A - Atomic, Molecular, and Optical Physics, v. 86, n. 5, 2012.1050-29471094-1622http://hdl.handle.net/11449/22703410.1103/PhysRevA.86.0538152-s2.0-84869029300Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengPhysical Review A - Atomic, Molecular, and Optical Physicsinfo:eu-repo/semantics/openAccess2022-04-29T06:01:23Zoai:repositorio.unesp.br:11449/227034Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462022-04-29T06:01:23Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Localized modes in χ (2 ) media with PT-symmetric localized potential |
title |
Localized modes in χ (2 ) media with PT-symmetric localized potential |
spellingShingle |
Localized modes in χ (2 ) media with PT-symmetric localized potential Moreira, F. C. |
title_short |
Localized modes in χ (2 ) media with PT-symmetric localized potential |
title_full |
Localized modes in χ (2 ) media with PT-symmetric localized potential |
title_fullStr |
Localized modes in χ (2 ) media with PT-symmetric localized potential |
title_full_unstemmed |
Localized modes in χ (2 ) media with PT-symmetric localized potential |
title_sort |
Localized modes in χ (2 ) media with PT-symmetric localized potential |
author |
Moreira, F. C. |
author_facet |
Moreira, F. C. Abdullaev, F. Kh. [UNESP] Konotop, V. V. Yulin, A. V. |
author_role |
author |
author2 |
Abdullaev, F. Kh. [UNESP] Konotop, V. V. Yulin, A. V. |
author2_role |
author author author |
dc.contributor.none.fl_str_mv |
Cidade Universitária Universidade de Lisboa Universidade Estadual Paulista (UNESP) |
dc.contributor.author.fl_str_mv |
Moreira, F. C. Abdullaev, F. Kh. [UNESP] Konotop, V. V. Yulin, A. V. |
description |
We study the existence and stability of solitons in the quadratic nonlinear media with spatially localized parity-time- (PT)-symmetric modulation of the linear refractive index. Families of stable one- and two-hump solitons are found. The properties of nonlinear modes bifurcating from a linear limit of small fundamental harmonic fields are investigated. It is shown that the fundamental branch, bifurcating from the linear mode of the fundamental harmonic is limited in power. The power maximum decreases with the strength of the imaginary part of the refractive index. The modes bifurcating from the linear mode of the second harmonic can exist even above the PT-symmetry-breaking threshold. We found that the fundamental branch bifurcating from the linear limit can undergo a secondary bifurcation colliding with a branch of two-hump soliton solutions. The stability intervals for different values of the propagation constant and gain or loss gradient are obtained. The examples of dynamics and excitations of solitons obtained by numerical simulations are also given. © 2012 American Physical Society. |
publishDate |
2012 |
dc.date.none.fl_str_mv |
2012-11-15 2022-04-29T06:01:23Z 2022-04-29T06:01:23Z |
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://dx.doi.org/10.1103/PhysRevA.86.053815 Physical Review A - Atomic, Molecular, and Optical Physics, v. 86, n. 5, 2012. 1050-2947 1094-1622 http://hdl.handle.net/11449/227034 10.1103/PhysRevA.86.053815 2-s2.0-84869029300 |
url |
http://dx.doi.org/10.1103/PhysRevA.86.053815 http://hdl.handle.net/11449/227034 |
identifier_str_mv |
Physical Review A - Atomic, Molecular, and Optical Physics, v. 86, n. 5, 2012. 1050-2947 1094-1622 10.1103/PhysRevA.86.053815 2-s2.0-84869029300 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Physical Review A - Atomic, Molecular, and Optical Physics |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.source.none.fl_str_mv |
Scopus reponame:Repositório Institucional da UNESP instname:Universidade Estadual Paulista (UNESP) instacron:UNESP |
instname_str |
Universidade Estadual Paulista (UNESP) |
instacron_str |
UNESP |
institution |
UNESP |
reponame_str |
Repositório Institucional da UNESP |
collection |
Repositório Institucional da UNESP |
repository.name.fl_str_mv |
Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP) |
repository.mail.fl_str_mv |
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1797789373800906752 |