EDFA原理及特性

EDFAEDFA2,32EDFA3,321.................................................................................................72.............................................................................................92.1...........................................................................................................92.2................................................................................................92.3..............................................................................................132.3.1.................................................................................................................132.3.2.................................................................................................................142.3.3.................................................................................................................172.3.4EDFA[12][13]..........................................................................................183..................................................................................................193.1EDFA(AGCEDFA)..........................................203.2AGCEDFA...................................................................................223.3................................................................................................................31EDFA4,32EDFAEDFAEDFA7,32EDFAEDFAEDFA1EDFAFig1.1Fig1.1ConfigurionofErbium-dopedFiberAmplifier(forwardPumped)1(EDF)EDFErErEr6S4f+3,Xe1S22S22P63S23P63d104S24P64d105S25P6Er3+Er3+EDFAEDFA8,32NAFig1.2[7]EDFEDF2.(WDM)EDFAEDF980nm/1550nm1480nm/1550nm3.(ISO)EDFAEDFA40dB4.(OpticalFilter)SNR1nm13nm5.(PumPingSupply)(EDF)Ar2+514nmYAG532nm665nm807nm980nm1480nm807nm807nmESA665nm514nmAr+25dB100mwAr+980nm1480nmLD980nm1480nmEDFA9,3222.1Fig1.3EDF514nm665nm807nm(ESA)ESA980nm1480nm4I15/2[23]2.2Fig1.4E1E2E3S32E3E2A21Wp1480nm(1)EDFA10,32(2)Fig1.3EnergyleveldiagramofErionion980nmFig1.3Fig1.41480nmE3E2980nm10msS32A21E3EDF∆υKλυKKc=/NEDF(∆υK=0)K()IrzK,,φK()Z[23]()()PzIrzrdrdKK=∞∫∫,,φφπ0021-1EDFA11,32()()()dndtPihnrzPihnrznrzKKaKKKKeKKKK2122=−−∑∑συφσυφϕτ,,,,,,K=1,2,3......N1-2()()()nrznrznrzt,,,,,,φφφ=+121-3()nrzt,,φ()nrz1,,φ()nrz2,,φσaKσeKτiKK()()()irIrzPzKKK,,,/φφ=1-4EDF()()()()()()()()dPdzuirnrzPzmhrdrduirnrzPzrdrdKKeKKKKKKaKKK=+−∞∞∫∫∫∫σφφυυφσφφφππ,,,,,,20021002∆1-5uKKZuK=1uK=−1mhKKυυ∆n2PKmLP01m2()()ασφφφπKaKKtirnrzrdrd=∞∫∫,,,0021-6()()girnrzrdrdKeKKt=∞∫∫σφφφπ,,,0021-7EDFασKaKKtn=Γ1-8gnKeKKt=σΓ1-9ΓK()ΓKKirrdrd=∞∫∫,φφπ0021-10EDFA10KHzdndt20/=(1-2)(1-5)EDFA(1-2)EDFAeffEDFAeffEDFA(1-2)EDFA12,32()dndtPAhgnnnKeffKKKKtK222=−+−∑υαατ1-11(1-6)(1-7)(1-10)(1-5)()dPdzugnnPKKKKtKK=+−αα21-12(1-12)(1-11)dndt20/=n2nAuhdPdzeffjjjj2=−∑τυj=12…N1-13(1-13)(1-12)dPdzuPhPuhdPdzKKKKKsatjjjjK=−+∑υυα1-14PKsat()PAhKsateffKKaKeK=+υτσσΓ1-15EDFL()PPhPhPPLKoutKinKKsatjjinjoutKj=−−∑expυυα11-16EDFAEDFAPKoutPKinKQPhKKK=/υ()QQQQQLKoutKinKsatinoutK=−−exp1α1-17QQinjinj=∑QQoutjoutj=∑(1-17)()QQQQQLoutKinKsatinoutKK=−−∑exp1α1-18EDFA13,32QoutQinPsatEDFL(1-18)Qout(1-17)KEDFAEDFA()()GLogPPdBoutin=10/1-192.3EDFAEDFA2.3.1Fig1.5EDFA()EDFA14,32980nm1480nm807nm980nm1480nm980nm3dB)611dB/mw1480nmFig1.6EDFEDF2.3.2EDFEDFA3dBFig1.7EDFA1531nm1550nmEDFA3dB35nm1530nm1565nmFig1.8EDFAEDFA15,32Fig1.8TherelationshipbetweensingalgainandfiberlengthwithdifferentsingalinputpowerFiberlength(m)-505101520253035Singalgain(dB)-20-10010203040Psin=-40dBmPsin=-20dBmPpin=30mwλs=1550nmλp=1480nmPsin=-10dBmFig1.7TherelationshipbetweensingalgainandsingalwavelengthwithsamePumpingpowerSingalwavelength(µm)150015201540156015801600Maximumsingalgain(dB)05101520253035Ppin=40mwλp=1480nmPsin=-40dBmEDFFig1.9[7]EDFFig1.10EDFA16,32LengthofEDF(m)020406080100Gain(dB)-40-20020406080r=1r=0.83r=0.66Fig1.10GainversusEDFLengthindifferentdopedradiusrateFig1.9GainversusEDFLengthindifferentEriondopedconcentrationEDFLength(m)010203040506070Gain(dB)-20-10010203040pp=30mwλs=1550nmn=4.4x1024n=2.2x1024n=1.1x1024EDFAG3dBEDFAFig1.11EDFAEDFAEDFAFig,1.12Fig1.11TherelationshipbetweenSingalOutputPowerandSingalGainindifferentPumpPowerSingalOutputPower(dBm)-80-60-40-20020SingalGain(dB)-100102030405060L=18.1mλp=1480nmλs=1550nmPp=20mwPp=30mwPp=40mwPp=50mwEDFA17,32Fig1.12TherelationshipbetweenPumpPowerandSingalGainindefferentEDFALengthPumpPower(mw)0102030405060SingalGain(dB)-20-1001020304050Psin=1µwL=15mL=10mL=7mL=5m2.3.3NFNFNFSNRSNRLogPNPNinoutinsoutout==10sin//1-20SNRinSNRoutNF1(1-20)[34]NFLogPhGASE=10υυ∆1-21∆υPASE()[]()(){}dPdzgPzhPzASEKASEKKsASE±±±=±+−−2∆υαα1-22αsλsEDFA[7](1)(2)ASE(3)ASE(4)ASE(1)(2)(3)(4)EDFA18,32NFEDFNFEDFANFFig1.131480nm()PPppsatEDFA4dBEDFNF980nmNF3dB1480nmNF1480nm2.3.4EDFA[12][13]EDFAEDFA1(EDF)Fig1.14Fig1.15(1)(2)1.52µm1.53µm1.55µm-40+70[12]EDFAFig1.14AbsorptionspectrumofEDF[12]Fig1.15FluorescencesprctrumofEDF[12]EDFA+85-201480nm-0.7dB/7dB980nm-0.004dB/EDFA19,320.4dB98nm0+50EDFA2(72)(48)Fig1.16Fig1.17(72h)(48h)20±0.1±0.5%±0.5%(ISO)(WDM)0+50EDFA0+50±0.5dBmFig1.17ExperimentcurveofEDFAinhighandlowtemperatureTime(T/h)01020304050PowerandTemper