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ID:51891077
大小:1.06 MB
页数:40页
时间:2020-03-18
《【精品】光波导分析技术.doc》由会员上传分享,免费在线阅读,更多相关内容在工程资料-天天文库。
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-Theuseofcharacteristicmatrixmethodtodeterminethemodefieldprofileanditsevolutioninpl
2、anarwaveguideswitharbilniryrefractiveindexprofileisproposed.Firstlythewaveguidesareapproximatedbymultilayerwaveguideswithstepwiserefractiveindexprofile・Thefieldatoneplaneisexpressedasmultiplicationofacharacteristicmatrixtothefieldatitsneighboringplane・Thedispersionequationofthew
3、aveguidesthencanbeobtainedandnumericallysolvedtocalculatetheeffectiveindicesoftheguidedmodes.Uponnormalizingthetime-averagedpowerperunitlengthinthelateraldirection,thefieldprofileofeachguidedmodecanbeobtainedbysuccessivelyapplicationsofthecharacteristicmatrixtothefieldattherefer
4、enceinterfaceplane.Thismethodcanbecarriedoutefficientlywithrelativelymodestcomputationtime.Theapplicationofthismethodtosamplesofstepandgradedindexwaveguidesaswellascoupledplanarwaveguidesaredemonstrated・IntroductionStudyonmodefieldprofileofawaveguideisimportantforthecouplingofli
5、ghtwavefromitssourcetowaveguideandfromwaveguidetowaveguide・Somewaveguidesaredesignedtohavecertainmodeprofiletoprovidepiirticularspotshapeandsizeforspecialpurposessuchasbetterqualifyoflaserprintingandbettercouplingefficiencybetweendifferenttypeofwaveguide.Moreover,measuringthemod
6、eprofileisoneofthepopularmethodsforcharacterizingwaveguideinpractice・Whileanalysisofmodeprofileof3-layerslabwaveguidescanbecarriedoutinastraightforwardmannerspecialmethodshavebeendevelopedformorecomplexstructures・Wellknownamongthesearethecharacteristicmatrixmethod,finiteelementm
7、ethod,Fourierexpansionmethod,anddiscretesinemethod.Thecharacteristicmatrixmethodhasbeenusedtoanalyzethetninsmissionandreflectioninthinfilmopticsaswellastheanalysisofmultiplayerplanarwaveguides.Inthispaperweformulatethecharacteristicmatrixmethodforitsapplicationtostudythemodeprof
8、ilesaswellasitsevolutioninz-inviiriantplanarwav
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