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1、ARTICLESPUBLISHEDONLINE:2FEBRUARY2015
2、DOI:10.1038/NPHYS3211PhotontransportenhancedbytransverseAndersonlocalizationindisorderedsuperlatticesP.Hsieh1,2*2,3,J.F.McMillan1,M.Tsai2,4,M.Lu5,N.C.Panoiu6,71,8,C.Chung*andC.W.Wong*Controllingtheflowoflightatsubwavelengthsc
3、alesprovidesaccesstofunctionalitiessuchasnegativeorzeroindexofrefraction,transformationoptics,cloaking,metamaterialsandslowlight,butdiractioneectsseverelyrestrictourabilitytocontrollightonsuchscales.Herewereportthephotontransportandcollimationenhancedbytransve
4、rseAndersonlocalizationinchip-scaledispersion-engineeredanisotropicmedia.Wedemonstrateaphotoniccrystalsuperlatticestructureinwhichdiractionisnearlycompletelyarrestedbycascadedresonanttunnellingthroughtransverseguidedresonances.Bymodifyingthegeometryofmorethan4,
5、000scatterersinthesuperlatticesweaddstructuraldisordercontrollablyanduncoverthemechanismofdisorder-inducedtransverselocalization.Arrestedspatialdivergenceiscapturedinthepower-lawscaling,alongwithexponentialasymmetricmodeprofilesandenhancedcollimationbandwidthsfor
6、increasingdisorder.Withincreasingdisorder,weobservethecrossoverfromcascadedguidedresonancesintothetransverselocalizationregime,beyondboththeballisticanddiusivetransportofphotons.23nregularisotropicopticalmediathecharacteristicsofdispersionpropagatingdirection.F
7、urtheringtheelectronicsphotonicsIrelations,whichamongothersdefinethepropertiesofdirac-analogy,thescalingtheoryoflocalization(zeroconductancefortion,aredeterminedbytheintrinsicstructureofthemediumlonglengthscalesinoneandtwodimensions,andthemobilityedgesothatt
8、hereislittleroomtoengineertheopticalwavediraction.inthreedimensions)andamodifiedIoeRegelcriteria(kl1,Bycontrast,structuringtheopticalmediumatthesubwavelengthwherekistheBlochwavevectorandlthescatteringmeanfreescalecanleadtomarkedchangesofthecharacteristicsof
9、dispersionpath)arealsorelevantinelectromagnetictransport.andwavediraction.OnesuchsalientexampleisthatofphotonicHowever,unlikeelectrontransport,wherelocalizedbound19