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1、FrustratedtotalinternalreflectionandtheillusionofsuperluminalpropagationVeraL.Brudny∗DepartamentodeF´ısica,FacultaddeCienciasExactasyNaturales,UniversidaddeBuenosAires,Cd.Universitaria,Pabell´on1,C1428EHABuenosAires,ArgentinaW.LuisMoch´an†InstitutodeCienciasF´ısicas,UniversidadNacionalA
2、ut´onomadeM´exico,ApartadoPostal48-3,62251Cuernavaca,Morelos,M´exico(Dated:July15,2008)Weanalyzethepropagationofapulseacrossavacuumgapseparatingoppositeflatparallelfacesoftwotransparentdielectricsbymeansofanexplicitlycausalandretardedpropagatorconstructeddirectlyfromthefree-spacewaveequ
3、ation.Nevertheless,ourapproachyieldsapparentlysuperlu-minalpropagationforthecaseoffrustratedtotalinternalreflection(FTIR),thatis,atransmittedwavepacketappearsonthefarsideofthegapatthesametimethatthecorrespondingincidentpacketcrossesthefrontone.Thus,inthisexamplesuperluminalityisjustanil
4、lusion,beingcon-sistentwithbothcasualityandclassicalelectrodynamics.Westudytheoriginoftheapparentsuperluminalityinthiscase,whichisinherenttolightpulsepropagationinfreespaceanddoesnotdependontheparticularsoflight-matterinteraction,andfindthatitisduetopropagationfromthelateralwingsofthein
5、cidentpulsetothecentralpartofthetransmittedpulse.Thus,notwith-standingtheirsimilarities,FTIRisnotequivalentto1Dtunneling.Weproposeexperimentstotestourexplanationofsuperluminalityusingopaquescreenstoblockpartofthewavefront,althoughwedemonstratethatthepropagationofsmoothfinitepulsesconstr
6、ainedtobemadeupcompletelyofevanescentFouriercomponentsisindistinguishablefromtrulysuperluminalpropagation,i.e.,itmaybecompletelyaccountedforusinganexplicitelysuperluminalandacausalpropagatoraswellasthecausalsubluminalone.PACSnumbers:42.25.Bs,41.20.Jb,03.65.Xp,42.25.GyI.INTRODUCTIONThep
7、hysicsoflightpropagationisatopicofactiveresearch,duetoitsrelevancetoseveraltechnologicalapplica-tionsandbasicresearch.Recentresearchonnewmaterialshasshownthatitispossibletoexerciseanextraordinarycontrolonthepropagationoflightpulses,whichinturnhasgeneratednewinterestinbothpracticaland
