Compactification tuning for nonlinear localized modes in sawtooth lattices

We discuss the properties of nonlinear localized modes in sawtooth lattices, in the framework of a discrete nonlinear Schrödinger model with general on-site nonlinearity. Analytic conditions for existence of exact compact three-site solutions are obtained, and explicitly illustrated for the cases of...

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Autores: Johansson, M., Naether, U., Vicencio, R.A.
Formato: artículo
Estado:Versión publicada
Fecha de publicación:2015
País:España
Recursos:Universidad de Zaragoza
Repositorio:Zaguán. Repositorio Digital de la Universidad de Zaragoza
OAI Identifier:oai:zaguan.unizar.es:44953
Acesso em linha:http://zaguan.unizar.es/record/44953
Access Level:acceso abierto
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spelling Compactification tuning for nonlinear localized modes in sawtooth latticesJohansson, M.Naether, U.Vicencio, R.A.We discuss the properties of nonlinear localized modes in sawtooth lattices, in the framework of a discrete nonlinear Schrödinger model with general on-site nonlinearity. Analytic conditions for existence of exact compact three-site solutions are obtained, and explicitly illustrated for the cases of power-law (cubic) and saturable nonlinearities. These nonlinear compact modes appear as continuations of linear compact modes belonging to a flat dispersion band. While for the linear system a compact mode exists only for one specific ratio of the two different coupling constants, nonlinearity may lead to compactification of otherwise noncompact localized modes for a range of coupling ratios, at some specific power. For saturable lattices, the compactification power can be tuned by also varying the nonlinear parameter. Introducing different on-site energies and anisotropic couplings yields further possibilities for compactness tuning. The properties of strongly localized modes are investigated numerically for cubic and saturable nonlinearities, and in particular their stability over large parameter regimes is shown. Since the linear flat band is isolated, its compact modes may be continued into compact nonlinear modes both for focusing and defocusing nonlinearities. Results are discussed in relation to recent realizations of sawtooth photonic lattices.2015info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttp://zaguan.unizar.es/record/44953reponame:Zaguán. Repositorio Digital de la Universidad de Zaragozainstname:Universidad de ZaragozaInglésinfo:eu-repo/grantAgreement/ES/MINECO/FIS2011-25167info:eu-repo/grantAgreement/ES/MINECO/FPDI-2013-18422info:eu-repo/semantics/openAccessoai:zaguan.unizar.es:449532026-05-29T13:59:51Z
dc.title.none.fl_str_mv Compactification tuning for nonlinear localized modes in sawtooth lattices
title Compactification tuning for nonlinear localized modes in sawtooth lattices
spellingShingle Compactification tuning for nonlinear localized modes in sawtooth lattices
Johansson, M.
title_short Compactification tuning for nonlinear localized modes in sawtooth lattices
title_full Compactification tuning for nonlinear localized modes in sawtooth lattices
title_fullStr Compactification tuning for nonlinear localized modes in sawtooth lattices
title_full_unstemmed Compactification tuning for nonlinear localized modes in sawtooth lattices
title_sort Compactification tuning for nonlinear localized modes in sawtooth lattices
dc.creator.none.fl_str_mv Johansson, M.
Naether, U.
Vicencio, R.A.
author Johansson, M.
author_facet Johansson, M.
Naether, U.
Vicencio, R.A.
author_role author
author2 Naether, U.
Vicencio, R.A.
author2_role author
author
description We discuss the properties of nonlinear localized modes in sawtooth lattices, in the framework of a discrete nonlinear Schrödinger model with general on-site nonlinearity. Analytic conditions for existence of exact compact three-site solutions are obtained, and explicitly illustrated for the cases of power-law (cubic) and saturable nonlinearities. These nonlinear compact modes appear as continuations of linear compact modes belonging to a flat dispersion band. While for the linear system a compact mode exists only for one specific ratio of the two different coupling constants, nonlinearity may lead to compactification of otherwise noncompact localized modes for a range of coupling ratios, at some specific power. For saturable lattices, the compactification power can be tuned by also varying the nonlinear parameter. Introducing different on-site energies and anisotropic couplings yields further possibilities for compactness tuning. The properties of strongly localized modes are investigated numerically for cubic and saturable nonlinearities, and in particular their stability over large parameter regimes is shown. Since the linear flat band is isolated, its compact modes may be continued into compact nonlinear modes both for focusing and defocusing nonlinearities. Results are discussed in relation to recent realizations of sawtooth photonic lattices.
publishDate 2015
dc.date.none.fl_str_mv 2015
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://zaguan.unizar.es/record/44953
url http://zaguan.unizar.es/record/44953
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv info:eu-repo/grantAgreement/ES/MINECO/FIS2011-25167
info:eu-repo/grantAgreement/ES/MINECO/FPDI-2013-18422
dc.rights.none.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
publisher.none.fl_str_mv
dc.source.none.fl_str_mv reponame:Zaguán. Repositorio Digital de la Universidad de Zaragoza
instname:Universidad de Zaragoza
instname_str Universidad de Zaragoza
reponame_str Zaguán. Repositorio Digital de la Universidad de Zaragoza
collection Zaguán. Repositorio Digital de la Universidad de Zaragoza
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