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308Vol130No1820018ACTAPHOTONICASINICAAugust20011222(1,430033)(2,430074)WDM,,;,;,WDMöF2P;;;;0,(WDM)ö1,21,WDM,31F2P,415,,,1,,,,1,F2P,1:20012012081111F2PA(s,w,t)5A(s,w,1)=Substractû(HL)s(2H)w(LH)sûAir(1)A(s,w,0)=Substractû(HL)sH(2L)wH(LH)sûAir(2)HL,,nHnL,s;2H2L,,w;t(1,0),HL111F2P1,WDMö1L()SubstractûA(s1,w1,t1)LA(s2,w2,t2)ûAirSubstractûA(s1,w1,t1)LA(s2,w2,t2)LA(s3,w3,t3)ûAir©1995-2004TsinghuaTongfangOpticalDiscCo.,Ltd.Allrightsreserved.SubstractûA(s1,w1,t1)LA(s2,w2,t1)LA(s3,w3,t3)LLA(sQ,wQ,tQ)ûAirQ1121T0,TmaxTmin,N4N=(Tmax-Tmin)öT0(3)BW015,BW0.9BW0.1019011,4EE=BW0.9öBW0.1(4)1F2P,1:,2:Fig.1TransmittanceofFabry2Perotnarrow2bandpassinterferencefilters.Curve1:singlecavityCurve2:multi2cavity112WDMö3,B,A,öF(dB),S(K0-Aö2,K0+Aö2)F,(BW0.5A,BW0.003B)(5)N0,E1(6)S(K)=-101g(T(K))(7)BW0.003013%(25dB)1,,,Q1,siwiti(i=1,2,,Q),1,6:,7,(5),Min:7({si,wi,ti})S.T.S(K0-Aö2,K0+Aö2)F,BW0.5A,BW0.003B(8)5,(5),{si,wi,ti};2sA,si(s-1,s,s+1),wi(1,2,3,4),ti(1,0)(9)(24Q),siwiti61,7,,7{si,wi,ti},1113,41(8),(5),,7(si,wi)=XF(10N)2+XE(1-E)2(10)XNXE,,7,,7,,N=0,E=1,7=01,7,1,,,1,(10),15:,020130©1995-2004TsinghuaTongfangOpticalDiscCo.,Ltd.Allrightsreserved.,,,,(10),812Matlab,2,Q,A(s,1,1)F2P,Bs;si=s-1,s,s+1;wi=1,2,3,4;ti=1,0;(1)(2),A(si,wi,ti)+(+=24);2A(si,wi,ti),Q,(5)2;XNXE,(3)(4)(6)270,70;270,12Fig.2Flowchartofauto2designmulti2cavitynarrowbandpassfilter3211611451152Ta2O5SiO2K9,WDM1F013dB,A=1nm,B=3nm1XNXE5,K9GlassûA(6,1,1)LA(7,1,1)LA(7,1,1)LA(6,1,1)ûAir(11)3(a),116nm,25dB2197nm,9517%(012dB),118481;3(b)571510,,,,1,K9GlassûA(6,2,1)LA(6,3,0)LA(6,3,0)LA(6,2,1)ûAIR(12)3(11)1(a);(b)Fig.3Transmittanceofthefilm2system(11)undernormalorobliqueincidence.(a)normalincidence;(b)obliqueincidence120181©1995-2004TsinghuaTongfangOpticalDiscCo.,Ltd.Allrightsreserved.4(12)1(a);(b)Fig.4Transmittanceofthefilm2system(12)undernormalorobliqueincidence.(a)normalincidence;(b)obliqueincidence(016087)(11),,4(a)(b)(571510),,,1,(12)(11),14,,,,,,,F2P;,,11BorellaMS,JueJP,BanerjeeD,etal.OpticalcomponentsforWDMlightwavenetworks.ProceedingsofTheIEEE,1997,85(8):127413072YanagimachiY,OguriH,NayyerJ,etal.High2performanceandhighlystable0.32nm2full2width2at2half2maximuminterferenceopticalfilters.AppliedOptics,1994,33(14):351335173MinowaJunichiro,FujiYohji.HighperformancebandpassfilterforWDMtransmission.AppliedOptics,1984,23:1931944MacleodHA.Thin2FilmOpticalFilters.London:AdamHilgerLTD,1969:40749651WDM[]1,2000:34376RaoSS.Optimizationtheoryandapplications(Secondedition).Wiley:EasternLimited,1984:3844087ZhuWeiming,ZhangXiaohui,etal.Thicknessdelicacygeneanalysisofnarrowinterferencebandpassfilters.ProcessdingofSPIE,1999,3683:238823918GreinerH.Robustopticalcoatingdesignwithevolutionarystrategies.AppliedOptics,1996,35(28):54775482220130©1995-2004TsinghuaTongfangOpticalDiscCo.,Ltd.Allrightsreserved.AUTO-DESIGNOFROBUSTCUT-OFFNARROW-BAND-PASSINTERFERENCEFILTERSZhangXiaohui1,ChenQingming2,YangGuang2,ZhuWeiming21NavalUniversityofEngineering,WuhanHubei430074,China2StateKeyLaboratoryofLaserTechnology,HUST,WuhanHubei430074,ChinaReceiveddate:2001201208AbstractThestructurecharacteristicsandtheopticalpropertiesofthemultiplecavitiesFabry2Perotnarrow2bandpassinterferencefilters,usuallybeusedinwavelengthdivisionmultiplexing(WDM)communicationsystem,havebeenanalyzedinthispaper.Theauthorshaveproposedtheautodesignmethodforthistypeofcoatingbyoptimizationthroughareasonablemerit.Aprogrammerhasbeendesignedwhichcanautosearchthefilm2systemstructuresofamultiplecavitiesFabry2Perotnarrow2band2passinterferencefilterwhichhaslowrippleandcut2offbandpass.ThedesignresultofthisprogrammercanmeettherequirementsoftheopticalfiltersthatservedasaMUXöDMUXinWDMtransmissionsystem.KeywordsNarrow2bandpassinterferencefilter;Optimalcoatingdesign;Robustcoatingdesign;Lowripple;Cut2offbandpassZhangXiaohuiwasborninHubei,P.R.China.ShereceivedtheB.S.degreeinlasertechnologyfromHuazhongUniversityofScienceandTechnologyin1984andM.S.degreeinopticalengineeringfromNavalUniversityofEngineeringin1989andthePh.D.degreeinopticalcoatingtechnologyfromHuazhongUniversityofScienceandTechnologyin2001.ShecurrentlyisanassistantprofessorintheWeaponEngineeringDepartment,NavalUniversityofEngineering.Herresearchinterestsareopticalcoating,laserrangerfinder,opticalfibercommunicationandetc.320181©1995-2004TsinghuaTongfangOpticalDiscCo.,Ltd.Allrightsreserved.