PT-symmetric coupler with chi((2)) nonlinearity

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dc.contributor.authorLi, K.
dc.contributor.authorZezyulin, D. A.
dc.contributor.authorKevrekidis, P. G.
dc.contributor.authorKonotop, V. V.
dc.contributor.authorAbdullaev, F. Kh. [UNESP]
dc.contributor.institutionUniv Massachusetts
dc.contributor.institutionUniv Lisbon
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionInt Islamic Univ Malaysia
dc.date.accessioned2014-12-03T13:11:17Z
dc.date.available2014-12-03T13:11:17Z
dc.date.issued2013-11-15
dc.description.abstractWe introduce the notion of a PT-symmetric dimer with a chi((2)) nonlinearity. Similarly to the Kerr case, we argue that such a nonlinearity should be accessible in a pair of optical waveguides with quadratic nonlinearity and gain and loss, respectively. An interesting feature of the problem is that because of the two harmonics, there exist in general two distinct gain and loss parameters, different values of which are considered herein. We find a number of traits that appear to be absent in the more standard cubic case. For instance, bifurcations of nonlinear modes from the linear solutions occur in two different ways depending on whether the first-or the second-harmonic amplitude is vanishing in the underlying linear eigenvector. Moreover, a host of interesting bifurcation phenomena appear to occur, including saddle-center and pitchfork bifurcations which our parametric variations elucidate. The existence and stability analysis of the stationary solutions is corroborated by numerical time-evolution simulations exploring the evolution of the different configurations, when unstable.en
dc.description.affiliationUniv Massachusetts, Dept Math & Stat, Amherst, MA 01003 USA
dc.description.affiliationUniv Lisbon, Ctr Fis Teor & Computac, Fac Ciencias, P-1649003 Lisbon, Portugal
dc.description.affiliationUniv Lisbon, Dept Fis, Fac Ciencias, P-1649003 Lisbon, Portugal
dc.description.affiliationUniv Estadual Paulista, Inst Fis Teor, BR-01140070 Sao Paulo, Brazil
dc.description.affiliationInt Islamic Univ Malaysia, Dept Phys, Kulliyyah Sci, Bandar Indera Mahkota 25200, Kuantan, Malaysia
dc.description.affiliationUnespUniv Estadual Paulista, Inst Fis Teor, BR-01140070 Sao Paulo, Brazil
dc.description.sponsorshipFCT (Portugal)
dc.description.sponsorshipUS NSF
dc.description.sponsorshipUS AFOSR
dc.description.sponsorshipBinational Science Foundation
dc.description.sponsorshipIdFCT (Portugal)PTDC/FIS-OPT/1918/2012
dc.description.sponsorshipIdFCT (Portugal)PEst-OE/FIS/UI0618/2011
dc.description.sponsorshipIdUS NSFCMMI-1000337
dc.description.sponsorshipIdUS NSFDMS-1312856
dc.description.sponsorshipIdUS AFOSRFA9550-12-1-332
dc.description.sponsorshipIdBinational Science Foundation2010239
dc.format.extent11
dc.identifierhttp://dx.doi.org/10.1103/PhysRevA.88.053820
dc.identifier.citationPhysical Review A. College Pk: Amer Physical Soc, v. 88, n. 5, 11 p., 2013.
dc.identifier.doi10.1103/PhysRevA.88.053820
dc.identifier.fileWOS000327147600015.pdf
dc.identifier.issn1050-2947
dc.identifier.urihttp://hdl.handle.net/11449/112999
dc.identifier.wosWOS:000327147600015
dc.language.isoeng
dc.publisherAmer Physical Soc
dc.relation.ispartofPhysical Review A
dc.relation.ispartofsjr1,288
dc.rights.accessRightsAcesso restrito
dc.sourceWeb of Science
dc.titlePT-symmetric coupler with chi((2)) nonlinearityen
dc.typeArtigo
dcterms.licensehttp://publish.aps.org/authors/transfer-of-copyright-agreement
dcterms.rightsHolderAmer Physical Soc
unesp.campusUniversidade Estadual Paulista (Unesp), Instituto de Física Teórica (IFT), São Paulopt

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