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1、IEEEJOURNALOFQUANTUMELECTRONICS,VOL.30,NO.8,AUGUST19941817AnalyticalModelforRare-Earth-DopedFiberAmplifiersandLasersC.Barnard,StudentMember,ZEEE,P.Myslinski,Member,IEEE,J.Chrostowski,SeniorMember,IEEE,andM.Kavehrad,Fellow,ZEEEAbstmc-Ananalyticalmodelfortwo-,three-,andfour-levelholmium(Ho3+1
2、,thulium(Tm3+1,praseodymium(Pr3+1,systemrare-earth-dopedfiberamplifiersandlasersispresented.andsamarium(Sm3+)121.ThebroadenedlinewidthsofThetheoryisapplicabletodopantssuchaserbium,neodymium,rare-earthionsinglassalsoenablewidetuningranges[51thulium,praseodymium,andytterbium.Fiber-amplifierga
3、inisexpressedintermsofattenuationcoefficients,intrinsicsatura-andaresuitableforshort-pulsemodelocking[6].Narrowtionpowers,andcross-saturationpowersatthepumpandlinewidthsandQ-switchinghavealsobeendemonstratedsignalwavelengths.Theseparameterscanbedirectlydeter-171,[81.minedfromone-andtwo-beam
4、fiber-transmissionmeasure-Ongoingdevelopmentoffiberlasersandamplifiersments.System-independentformulasaregivenfortheslopesrequiresaccurateandsimpletheoreticalmodeling.Theandthresholdsofringandlinearfiberlasers.Goodagreementbetweentheoryandexperimenthasbeenshownforerbium-dopedtheoryofamplifi
5、cationandlasinginfibersdiffersfromfiberamplifiersandlasersandthulium-dopedfiberlasers.Be-traditionallasermodelsintwoimportantaspects.First,causeofthefinite-pump-levellifetime,three-andfour-leveltheguidingpropertyofsingle-modefiberssimplifiesthemodelspredictaflatteningofthefiberlaserslopeath
6、igheranalysissincetransversebeamandionprofilescanbepumpingpowerswhenthefiberisshorterthantheoptimumassumedtobeconstantalongthefiber.Second,theactivelength.Approximatesystem-independentsolutionsarealsogivenforfiberamplifierswithexcited-stateabsorptionateitherthemediumisconfinedtothecentralpa
7、rtofthebeamprofilepumporsignalwavelengths.Anoveltechnique,requiringonlysothattheoverlapoftheopticalmodeswiththedopantonetunablelightsource,isproposedforfindingthebestpumpcanbeassumedtobepowerindependent.wavelengthwhenpumpESAispresent.Thetwo-levelanalytic
