Berry’sPhaseBerry相

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1、Berry’sPhaseinSingleModeOpticalFiberPHY243WAdvancedLabChrisMcFarlandRyanPettiboneEmilyVeitTheoryBerry’sPhaseisageometricphenomenonthecanmanifestitselfinoptics,quantummechanicsandevenclassicalmechanics.Itoccurswhenmorethanonephysicalparameteroftheparticle’spatharechangedadiabatically.A

2、lthoughtheparametersarereturnedtotheiroriginalvaluesthemeasuredquantity(spinorpolarization)doesnot.EXAMPLE:TwoparameterscharacterizinganEMwavecouldbethepolarandazimuthalangleofthewave’spropagationvector!ManifestationofTheoryAsweallknow{k,E,B}constitutesanorthogonalbasis.Theopticalfibe

3、rparalleltransportsthebasis.Linearlypolarizedlightenterstheopticalfiberinonedirection,exitsinsamedirection,butplaneofpolarizationisdifferent!EinEoutExperimentalSetupHe-NeLaserReflectorsPolarizerSingle-ModeFiberOpticCableOscilloscopeTubePhoto-DetectorPolarizerExperimentalSetupTheheli

4、xisuniformandhaspitchangleandNturns:Theplaneofpolarizationrotationangleisgiventheoreticallyby:=360°N(1-cos)EinEoutSideViewNExperimentalIssuesWefeltthatthereweretwomainsourcesoferror:The“DandruffEffect:”Noiseiscreatedbyaircurrentsandtinydustparticlesblockingthelaser.SOLUTION:Creat

5、eatunnelaroundthelaserSlackintheCable:Berry’sphasecanoccurintheopticalfiber.SOLUTION:LaythefiberflatExperimentalIssuesnotlargeenoughtomeasureaccuratelySOLUTION:IncreaseNtoamplifysinceisproportionaltoN.ResultsResultsConclusionQualitativelyobservingtheeffectofBerry’sphasebymanipulati

6、onoftheopticalfiberwasrelativelyeasy.However,thenextgroupworkingonthisshouldbecarefultoeliminateaforementionederrorsiftheywishtoobtainresultsapproximatingtheoreticalresults.Ourdatamatchesthetheoreticalresultsclosely,providingstrongevidencefortheBerry’sphasehypothesis.ANYQUESTIONS??