微环谐振器传输特性分析

12362012121671—1815201236-9971-05ScienceTechnologyandEngineeringVol.12No.36Dec．20122012Sci.Tech.Engrg.李锋张静*212003。。。。。TN256A20127318221970—。*1990—。[e-mail]。。BellMarcatili19691。、、、、、2、3、。、、、。1。4、、5、6、7。。1。1、、、z、。8B2=t1－t2exp－j2exp－2jφ1－t1t2exp－2jφ21D2=k1k2exp－j+2φ1－t1t2exp－2jφ22k1、k2、t1、t2。B2+D2=1312t1=t2。TBλdB=10lgBλ24TDλdB=10lgDλ2522.1K。KLπLeffK=sinkLeff=sinπ2LπL[]eff6LπLeffKLeff。K//zKz=K//zcosθ1cosθ27cosθ1、cosθ2z。R2θ20。k=sinR∫π/2－π/2K//θcos2θdθ8K//θ=2Γyγ21xγ22xexp－γ2xd+2Rsin2θ()[]2βTEk20n21－n222+γ2xa9βTExTE。8kd2。2kdkd。。4、k3。“”。k。、、。。。。3dB。2799123k。2.2FSRQ。2.2.1微环半径对自由光谱范围FSR的影响FSRFSR=λm+1－λm=λ2/2πngR10ng=neff－λdneffdλ11。FSR4。4FSRFSRFSR。FSR。2.2.2微环半径对品质因子的影响QQ=λmΔλFWHM=2π2neffRλm1－K槡2k2=πλmΔλFSRar1r槡21－ar1r2=λmΔλFSRF12λmΔλFWHMRKar1、r2FF=FSRΔλFWHM13Rk5。5Q66。379936。。。2.39kxa=mπ+arctanε1ε()3sxk'3xk[]x+arctanε1ε()5sxk'5xk[]xm=012…14kyb=nπ+arctanε1ε()2syk'2yk[]y+arctanε1ε()4syk'4yk[]yn=012…15εkx、kykx、yx、y。a=b7。7neff。10—124、5。7FSR。4。Q。FSRQ。。3。。。k。FSRQFSR。。。。1MarcatiliEAJ.Bendsinopticaldielectricguides.BellLabsTechni-calJournal1969482103—21322HuTingWangWanjunQiuChenetal.Thermallytunablefiltersbasedonthird-ordermicroringresonatorsforWDMApplications.IEEEJournalonPhotonicsTechnologyLetters2012246524—5263TsilipakosOKriezisEEBozhevolnyiSIetal.Thermo-opticmi-croringresonatorswitchingelementsmadeofdielectric-loadedplas-monicwaveguides.AppliedPhysics201110973111—31194MorandAZhangYMartinBetal.Ultra-compactmicrodiskre-sonatorfiltersonSOIsubstrate.OpticsExpress2006142612814—128215KieuKMansuripurM.Fiberlaserusingamicrosphereresonatorasafeedbackelement.OpticsLetters2007323244—2466LiCZhouLZhengSetal.Siliconpolygonalmicrodiskresona-tors.IEEEJournalonSelectedTopicsinQuantumElectronics20061261438—14497XiaFSekaricLVlasovYA.Modeconversionlossesinsilicon-on-insulatorphotonicwirebasedracetrackresonators.OpticsExpress47991220061493872—38868..20089..2006TransmissionCharacteristicsofMicroringResonatorLIFengZHANGJingSchoolofElectronicsandInformationJiangsuUniversityofScienceandTechnologyZhenjiang212003P.R.ChinaAbstractThemainworkofthispaperistoresearchtherelationshipbetweenthestructureparametersandtransmissioncharacteristicsperformance.Theintensitytransferfunctionofmicroringresonatorthroughputportanddropportbyusingthecoupledmodetheoryofwaveguidesisdeduced．Thecouplingcoefficientbetweenthebentwaveguideandthestraightwaveguideisanalyzedusingtransfer-matrixmethod.Andtherelationshipbetweenthecouplingcoefficientandthestructureparametersarediscussed.ThenthefrequencyspectrumisgottenbyusingFDTDsimulations.Theresultsshowthatamplitudecouplingrationkisreducingwhilethegapsbetweenmicroringandbuswaveguidesisincreasing.ThebendingradiationlossqualityfactorQandthefreespectralrangeFSRareincreasingwhiletheradiusofmicroringisreducing.Thewidthofwaveguiderelativelyhasasmallerinfluenceontheperformance.Sothegapsandtheradiusshouldbedesignedaccordingtotheneeds.Keywordsintegratedopticsmicroringresonatoropticalwaveguidetheorycouplingcoefficient579936