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1、Negative-IndexRefractioninaLamellarCompositewithAlternatingSingleNegativeLayersZ.G.Dong,S.N.Zhu,andH.LiuNationalLaboratoryofSolidStateMicrostructures,NanjingUniversity,Nanjing210093,ChinaNegative-indexrefractionisachievedinalamellarcompositewithepsilon-negative(ENG)andmu-negative(M
2、NG)materialsstackedalternatively.Basedontheeffectivemediumapproximation,simultaneouslynegativeeffectivepermittivityandpermeabilityofsuchalamellarcompositeareobtainedtheoreticallyandfurtherprovenbyfull-wavesimulations.Consequently,thefamousleft-handedmetamaterialcomprisingsplitringr
3、esonatorsandwiresisinterpretedasananalogyofsuchanENG-MNGlamellarcomposite.Inaddition,beyondtheeffectivemediumapproximation,thepropagatingfieldsqueezedneartheENG/MNGinterfaceisdemonstratedtobeleft-handedsurfacewaveswithbackwardphasevelocity.PACS:78.20.Ci,41.20.Jb,42.70.Qs,73.20.Mf1I
4、.INTRODUCTIONElectromagneticcompositemetamaterialswithsimultaneouslynegativeelectricpermittivityεandmagneticpermeabilityµ,calledleft-handedmaterialseffeff(LHM),havebeenasubjectofscientificinterestoverthepastseveralyears[1-5].Sofar,thereareafewwaystowardstherealizationofanLHM.Forexa
5、mples,themetallicmetamaterialcomprisingperiodicallyarrangedsplitringresonators(SRR)andwireswasexperimentallyconfirmedtobeanLHM[3].ThepossibilityofforminganLHMinconductingmagneticgranularcomposite(incorporatingconductingferromagneticinclusionsintoaninsulatingmatrix)wastheoreticallyi
6、nvestigated[4].Morerecently,Liuetal.proposedapiezoelectric-piezomagneticmultilayerandfoundthatsimultaneouslynegativeεandµwouldbeavailableinsuchastructureeffeff[5].Itiseasytounderstandthat,sincethereisnonaturallyexistingLHM,thestraightforwardideastowardstherealizationofanLHMarehowto
7、combinesinglenegativematerials,namely,epsilon-negative(ENG)material(whereε<0,butµ>0)ormu-negative(MNG)material(whereµ<0,butε>0),underappropriatevolumefractiontogetaneffectiveLHM[3],oralternatively,howtogetnegativeµinmaterialshavingnegativeεandviceversa.Itwasreportedthatpairedeffeff
8、structurebyENGandMNGmateri