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302Vol130No1220012ACTAPHOTONICASINICAFebruary20011,211,21(1,710049)(2,710068)1,,11;01,,11,,,,1,WKB234561,ö7,89,10,11,12131,,,1,,,1,1(60007006):20002052221,11,,z=01,dnDB,Ti4+Gauss141Fig.1Schemeoftheequivalentstepplanarwaveguidefordiffusedplanarwavegudef(z)=2PAdDBexp(-z2D2B)(z0)(1)DB=2Dzt(2)Dz=D0exp(-T0öT)(3),d;A;DB,,,DB1t;T;Dz,1,B1,1Bk0,neff=Bök0,B=k0neff(4),5152,m(m=0,1,2)46i+251+252=2mP(m=0,1,2,)(5),ziX$xi,4Ui=k0n(zi)sinHi$zi,Hi=arccos(neffön(zi)),251=-P,252=-Pö21bV(b2V),1,,,,,N,,mBm=k0Nsin(m(6)(mk=k0NmBm,m,B(m11,,,N,,zt,ztm1m2xt,m,zt,mxt,m,(m,(m=arctan(zt,möxt,m)(7),zt,mN,mBm1xt,12MATHCADneff,mNm,212mNmneffFig.2TheindexNmofmthordermodefortheequivalentsteplanarwaveguidecorrespondingtothediffusedplanarwaveguideeffectiveindexneff,neff,m,,,neffN,1,N1,1DB(:Lm)N33DBNFig.3DiffusiondepthDBversustheequivalentstepplanarwaveguideindexN012301,m,,,,,,,,;,,,132,,1mNzt,m(m41,mzt,mN,Nn0(2120321207),ns(ns2121),ns;N,,1N2(m,(m(14Nmzt,m(mFig.4Thewaveguidethicknesszt,mandtransmissiondirection(mversusequivalentindexNintheequivalentstepplanarwaveguide,,;,,15,1651,21206,2N21209,N,4211Lm,5zt,mN(DBFig.5TheparametersofsinglemodeequivalentstepplanarwaveguideversusdiffusiondepthDBofdiffusedplanarwaveguide6N(DBFig.6TheindexNandtransmissiondirection(oftheeqivalentstepplanarwaveguideversusdiffusiondeptheDBofdiffusedplanarwaveguide1122101048rad,;,33Lm,1050,10h13,;,,,1,,111ConwellEM.Modesinopticalwaveguidesformedbydiffusion.ApplPhysLett,1973,23(6):3283292AnemogiannisE,GlytsisEN,GaylordTK.Efficientsolutionofeigenvalueequationsofopticalwaveguidingstructures.JLightwaveTechnol,1994,12(12):208020843SrivastaveR,KarCK,RamaswamyRV.WKBanalysisofplanarsurfacewaveguideswithtruncatedindexprofiles.JLightwaveTechnol,1987,5(11):160516094HockerGB,BurnsWK.Modesindiffusedopticalwaveguidesofarbitraryindexprofile.IEEEJQuantumElectron,1975,11(6):2702765,11,1984,4(6):5415456KorotkySK,MinfordWJ,etal.ModeSizeandMethodforEstimtingthePropagationConstantofSingle2ModeTiLiNbO3StripWaveguides.IEEEJQuantumElectron,1982,18(10):179618017WeisshaarA,TripathiVK.Modalanalysisofstepdiscontinuitiesingraded2indexdielectricslabwaveguides.JLightwaveTechnol,1992,10(5):5936028HuangWeiping,XuChenglin,ChuSaitak,etal.Thefinite2differencevectorbeampropagationmethod:analysisandassessment.JLightwaveTechnol,1992,10(3):2953059KatstrikuFA,RahmanBMA,ThomasK,etal.Finiteelementanalysisofdiffusedanisotropicopticalwaveguides.JLightwaveTechnol,1996,14(5):78078610GhatakAK,ThyagarajanK,ShenoyMR.Numericalanalysisofplanaropticalwaveguidesusingmatrixapproach.JLightwaveTechnol,1987,5(5):66066711WeisshaarA.Impedanceboundarymethodofmomentsforaccurateandefficientanalysisofplanargraded2indexopticalwaveguides.JLightwaveTechnol,1994,12(11):1943195012,,11,1999,19(1):505613,1É11,1999,1(5):62663214BurnsWK,KleinPH,WestEJ.TidiffusioninTiLiNbO3planarchannelopticalwaveguides.JApplPhys,1979,50(10):6175618221230THEEQUIVALENTSTEPPLANARWAVE-GUIDEMETHODFORDIFFUSEDPLANARWAVE-GUIDEZhuJingping1,2,TangTiantong1,HouXun1,2,LiChuangshe11SchoolofElectronic&InformationEngineering,XianJiaotongUniv,Xian7100492XianInstituteofOptics&FineMechanics,CAS,Xian710068Receiveddate:2000205222AbstractTheequivalentstepplanarwave2guidemethodisproposedtostudythepropagationpropertiesanddesignofdiffusedplanarwave2guide.Themodelwasestablished,andasetofsimulationhasbeendone,andaseriesofrelationshipcurvesamongtheparametersofwave2guidepropagation,structureandtechnicsareobtained.Thesecurvesarehelpfultodiffusedplanarwave2guidedesignandtechnicalparameterselection.KeywordsDiffusedplanaropticalwave2guide;Equivalentstepplanarwave2guidemethodZhuJingpingwasbornin1967,inShanxiProvince,China.ShereceivedthePh.D.degreeinPhysicalElectronicsfromXianJiaotongUniversityin2000.Sheisnowanassociate2ProfessorintheDepartmentofElectronicScience&Technology,XianJiaotongUniversity.Hercurrentresearchinterestsarethetheoryanddeviceofoptronics,guide2waveoptics,andtheirapplicationinfibercommunication,opticalsense,opticalnetwork,andopticalstorage,etc.31221