光波导分析技术

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1、用特征矩阵法分析具有任意析射率分布的平板波导的模场分布及其演变DeterminationofModeFieldProfileandItsEvolutioninPlanarWaveguideswithArbitraryRefractiveIndexProfileusingCharacteristicMatrixMethod(HenriP.URANUSandM・O・TJIA)Abstract-Theuseofcharacteristicmatrixmethodtodeterminethemodefieldprofileandi

2、tsevolutioninplanarwaveguideswitharbitraryrefractiveindexprofileisproposed.Firstlythewaveguidesareapproximatedbymultilayerwaveguideswithstepwiserefractiveindexprofile・Thefieldatoneplaneisexpressedasmultiplicationofacharacteristicmatrixtothefieldatitsneighboringpla

3、ne・Thedispersionequationofthewaveguidesthencanbeobtainedandnumericallysolvedtocalculatetheeffectiveindicesoftheguidedmodes・Uponnormalizingthetime-averagedpowerperunitlengthinthelateraldirection,thefieldprofileofeachguidedmodecanbeobtainedbysuccessivelyapplications

4、ofthecharacteristicmatrixtothefieldatthereferenceinterfaceplane.Thismethodcanbecarriedoutefficientlywithrelativelymodestcomputationtime・Theapplicationofthismethodtosamplesofstepandgradedindexwaveguidesaswellascoupledplanarwaveguidesaredemonstrated.IntroductionStud

5、yonmodefieldprofileofawaveguideisimportantforthecouplingoflightwavefromitssourcetowaveguideandfromwaveguidetowaveguide・Somewaveguidesaredesignedtohavecertainmodeprofiletoprovideparticularspotshapeandsizeforspecialpuiposcssuchasbetterqualityoflaserprintingandbetter

6、couplingefficiencybetweendifferenttypeofwaveguide.Moreover,measuringthemodeprofileisoneofthepopularmethodsforcharacterizingwaveguideinpractice・Whileanalysisofmodeprofileof3-layerslabwaveguidescanbecarriedoutinastraightforwardmannerspecialmethodshavebeendevelopedfo

7、rmorecomplexstructures・Wellknownamongthesearethecharacteristicmatrixmethod,finiteelementmethod,Fourierexpansionmethod,anddiscretesinemethod.Thecharacteristicmatrixmethodhasbeenusedtoanalyzethetransmissionandreflectioninthinfilmopticsaswellastheanalysisofmultiplaye

8、rplanarwaveguides.Inthispaperweformulatethecharacteristicmatrixmethodforitsapplicationtostudythemodeprofilesaswellasitsevolutioninz-invariantplanarwaveg