单横模光子晶体微腔激光器的研究-李新涛

4211Vol．42No．11201211LASER＆INFRAREDNovember20121001-5078201211-1278-04··/450052。。。。TN242ADOI10．3969/j．issn．1001-5078．2012．11．017Studyonthesingletransversemodeemissionofphotonic-crystalmicrocavitylasersLIXin-taoSUNXiao-hongHenankeyLaboratoryofLaserandOpto-electricInformationTechnologyZhengzhouUniversityZhengzhou450052ChinaAbstractThispaperishelpfultothedesignofphotonic-crystalVertical-CavitySurface-Emittinglaserswhichemitsingletransversemode．Weusethetheoryofthesingletransversemodeofphotoniccrystalfiberintheanalysisofthenormalizedfrequencyvaryingwiththechangeofthelatticeconstantandthevalueofr/a．Wecalculatetheband-gapofthetwo-dimensionalairholesphotoniccrystalwithtriangularstructurebythefinite-differencetime-domainmethod．Inordertoachievesingle-transversemodelasingweusethecalculationresultstoselecttheappropriateparametersofthephotoniccrystalstructure．Weusetherateequationsofthecarriersurfacedensityandphotonnumbersurfaceden-sitytoanalyzetheinfluenceofeachphotoniccrystalstructureparameters．Keywordsphotoniccrystalvertical-cavitysurface-emittinglasersingletransversemodelaserthreshold11987YablonovitchS．John。photoniccrystalPCphotonicbandgapPBG。。vertical-cavitysurface-e-mittinglaserVCSEL、。。VCSEL。VCSEL。No．11104251No．2009GGJS－012。1986－。[e-mail]2012-03-212012-04-232。νeff2．405。νeff=ka－rneq2－neq－γneq－neff槡21karγneqDBRneff。GaAs0．85μm。DBRneq=kwc/w2kw3coskwd=cosn1wd1/ccosn2wd2/c－n21+n222n1n2sinn1wd1/csinn2wd2/c3neffneff=βw/k4βwk。βw5ξH1ξrJ0ζr－J1ζRY1ζRY0ζr[]+ζH0ξrJ1ζr－J1ζRY1ζRY1ζr[]=05ξ=β2－k2n2槡airζ=k2n2eq－β槡2RR=a槡332()π1/2。3νeffr/a1。1νeffa/λ=0．35～0．55a/λ=0．76～0．980。1a/λ＜1νeff＜2．405λ=0．85μm。νeffr/a。2a/λ=0．45νeffr/a。νeffr/a。9721No．112012a=0．45×λr/a2a/λ=0．45νeffr/aγγνeff。a/λ=0．45r/a=0．466νeffγ3γ。a=0．45×λr/a=0．466γ3a/λ=0．45r/a=0．466νeffγ4。NdNdt=je－AN－BN2－CN3－ΓG1+εΓ6ddt=ΓG1+εΓ+αBN2－τP7jAA=3．7×107s－1BB=2．0×10－10cm3s－1CC=2．5×10－29cm6s－1εε=1．0×10－17cm3ΓΓ=0．079ατphτP=λQ2πc8Q。GG=G0cnglnNN()09G0G0=1500cm－1cng=3．5N0N0=1．5×1018cm－3。Nth=N0expngcΓG0τ()p10α4。44α。α=3ΓKλ48π2n3VΔλ11KλV。V。5Q。5QQQ。。Q5Q5082142。2．405。。Q。。1YablonovitchE．Inhibitedspontaneousemissioninsolid-statephysicsandelectronicsJ．Phys．Rev．Lett．1987582059－2062．2JohnS．StronglocalizationofphotonsincertaindisordereddielectricsuperlatticesJ．Phys．Rev．Lett．1987582486－2489．3SongDSKimSHParkHGetal．Single-fundamental-modephotonic-crystalvertical-cavitysurface-emittingla-sersJ．Appl．Phys．Lett．200280213901－3903．4YokouchiNDannerAJChoquetteKD．Two-dimension-alphotoniccrystalconfinedvertical-cavitysurface-emit-tinglaserJ．IEEEJSelTopQuantumElectron2003951439－1445．5TBaba．PhotoniccrystalsandmicrodiskcavitiesbasedonGaInAsP/InPsystemJ．IEEEJSelectTopicsQuantumElectron19973808－815．6PainterOLeeRKSchererAetal．Two-dimensionalphotonicband-gapdefectmodelaserJ．Science2841819－1821．7MinkyoSeoGHughetal．Nonlineardispersivethree-di-mensionalfinite-differencetime-domainanalysisforpho-tonic-crystallasersJ．OpticsExpress200524．8MaXTZhengWHRenGetal．Inductivelycoupledplas-maetchingoftwo-dimentionalInGaAsP/InP-basedphotoniccrystalJ．ChinesePhysics200756977－981．9CaiBorong．LaserdevicesM．ChangshaHunanScience＆TechnologyPress1981328－329．inChinese．M．1981328－329．1821No．112012