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1、SolitonShapeandMobilityControlinOpticalLattices121YaroslavV.Kartashov,VictorA.Vysloukh,andLluisTorner1ICFO-InstitutdeCienciesFotoniques,andUniversitatPolitecnicadeCatalunya,Medi-terraneanTechnologyPark,08860Castelldefels(Barcelona),Spain2DepartamentodeFisicayMatematicas,Universidaddel
2、asAmericas–Puebla,SantaCatarinaMartir,72820,Puebla,MexicoE-mail:Yaroslav.Kartashov@icfo.esAbstractWepresentaprogressoverviewfocusedontherecenttheoreticalandexperimentalad-vancesintheareaofsolitonmanipulationinopticallattices.Opticallatticesofferthepossi-bilitytoengineerandtocontrolthe
3、diffractionoflightbeamsinmediawithperiodically-modulatedopticalproperties,tomanagethecorrespondingreflectionandtransmissionbands,andtoformspeciallydesigneddefects.Consequently,theyaffordtheexistenceofarichvarietyofnewfamiliesofnonlinearstationarywavesandsolitons,leadtonewrichdy-namica
4、lphenomena,andoffernovelconceptualopportunitiesforall-opticalshaping,switch-ingandroutingofopticalsignalsencodedinsolitonformats.Inthisoverview,weconsiderreconfigurableoptically-inducedlatticesaswellaswaveguidearraysmadeinsuitablenonlinearmaterials.Weaddressboth,one-dimensionalandmult
5、i-dimensionalgeometries.Wespeciallytargetthenewpossibilitiesmadepossiblebyopticallatticesinducedbyavari-etyofexistingnon-diffractinglightpatterns,weaddressnonlinearlatticesandsolitonar-rays,andwebrieflyexploretheuniquefeaturesexhibitedbylightpropagationindefectmodesandinrandomlattices
6、,anareaofcurrenttopicalinterestandofpotentialcross-disciplinaryimpact.11.Introduction2.Nonlinearmaterials3.Diffractioncontrolinopticallattices3.1.Blochwaves3.2.One-andtwo-dimensionalwaveguidearrays3.3.AMandFMtransversely-modulatedarrays3.4.Longitudinallymodulatedlatticesandwaveguidear
7、rays4.Optically-inducedlattices4.1.Opticallatticesinducedbyinterferencepatterns4.2.Nondiffractinglinearbeams4.3.Mathematicalmodelsofwavepropagation5.One-dimensionallatticesolitons5.1.Fundamentalsolitons5.2.Beamshapingandmobilitycontrol5.3.Multipolesolitonsandsolitontrains5.4.Gapsolito
8、ns5.5
