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Article: Pinned modes in two-dimensional lossy lattices with local gain and nonlinearity

TitlePinned modes in two-dimensional lossy lattices with local gain and nonlinearity
Authors
Issue Date2014
PublisherThe Royal Society. The Journal's web site is located at http://rsta.royalsocietypublishing.org
Citation
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2014, v. 372 n. 2027 How to Cite?
AbstractWe introduce a system with one or two amplified nonlinear sites (‘hot spots’, HSs) embedded into a two-dimensional linear lossy lattice. The system describes an array of evanescently coupled optical or plasmonic waveguides, with gain applied to selected HS cores. The subject of the analysis is discrete solitons pinned to the HSs. The shape of the localized modes is found in quasi-analytical and numerical forms, using a truncated lattice for the analytical consideration. Stability eigenvalues are computed numerically, and the results are supplemented by direct numerical simulations. In the case of self-focusing nonlinearity, the modes pinned to a single HS are stable and unstable when the nonlinearity includes the cubic loss and gain, respectively. If the nonlinearity is self-defocusing, the unsaturated cubic gain acting at the HS supports stable modes in a small parametric area, whereas weak cubic loss gives rise to a bistability of the discrete solitons. Symmetric and antisymmetric modes pinned to a symmetric set of two HSs are also considered.
Persistent Identifierhttp://hdl.handle.net/10722/210743
ISSN
2015 Impact Factor: 2.441
2015 SCImago Journal Rankings: 0.800

 

DC FieldValueLanguage
dc.contributor.authorDing, E-
dc.contributor.authorTang, AYS-
dc.contributor.authorChow, KW-
dc.contributor.authorMalomed, BA-
dc.date.accessioned2015-06-23T05:49:05Z-
dc.date.available2015-06-23T05:49:05Z-
dc.date.issued2014-
dc.identifier.citationPhilosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2014, v. 372 n. 2027-
dc.identifier.issn1364-503X-
dc.identifier.urihttp://hdl.handle.net/10722/210743-
dc.description.abstractWe introduce a system with one or two amplified nonlinear sites (‘hot spots’, HSs) embedded into a two-dimensional linear lossy lattice. The system describes an array of evanescently coupled optical or plasmonic waveguides, with gain applied to selected HS cores. The subject of the analysis is discrete solitons pinned to the HSs. The shape of the localized modes is found in quasi-analytical and numerical forms, using a truncated lattice for the analytical consideration. Stability eigenvalues are computed numerically, and the results are supplemented by direct numerical simulations. In the case of self-focusing nonlinearity, the modes pinned to a single HS are stable and unstable when the nonlinearity includes the cubic loss and gain, respectively. If the nonlinearity is self-defocusing, the unsaturated cubic gain acting at the HS supports stable modes in a small parametric area, whereas weak cubic loss gives rise to a bistability of the discrete solitons. Symmetric and antisymmetric modes pinned to a symmetric set of two HSs are also considered.-
dc.languageeng-
dc.publisherThe Royal Society. The Journal's web site is located at http://rsta.royalsocietypublishing.org-
dc.relation.ispartofPhilosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences-
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.titlePinned modes in two-dimensional lossy lattices with local gain and nonlinearity-
dc.typeArticle-
dc.identifier.emailChow, KW: kwchow@hku.hk-
dc.identifier.authorityChow, KW=rp00112-
dc.description.naturepostprint-
dc.identifier.doi10.1098/rsta.2014.0018-
dc.identifier.hkuros243786-
dc.identifier.volume372-
dc.identifier.issue2027-
dc.publisher.placeUnited Kingdom-

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