C_lens准直特性分析(1)

21120053()JournalofFujianNormalUniversity(NaturalScienceEdition)Vol.21No.1Mar.2005:1000-5277(2005)01-0036-05C-lens准直特性分析胡海蕾1,陈　荣1,赖爱光2,谢树森1(1.,350007;2.,350001):运用矩阵光学理论结合高斯光束的复参数传输规律对新型的微光学元件C-lens的准直特性进行定量分析,确定了光纤头与C-lens之间距离的最佳范围,并推导出了C-lens光纤准直器工作距离的解析表达式和特性曲线.研究结果对C-lens的设计与优化及提高C-lens光纤准直器的性能有实用价值.:C-lens;高斯光束;光纤准直器;工作距离:TN929.11:AAnalysisofC-lensCollimatingPropertyHUHai-lei1,CHENRong1,LAIAi-guang2,XIEShu-sen1(1.InstituteofLaserandOptoElectronicsTechnology,FujianNormalUniversity,Fuzhou350007,China;2.FujianInstituteofOpticalTechnology,Fuzhou350001,China)Abstract:ThecollimatingpropertyofC-lens,anewlyinventedmicroopticalcomponent,wasanalyzedwiththetransmissionmatrixofC-lensaccordingtothematrixopticsandtheABCDpropagationprincipleofGaussianbeam.TheoptimalrangebetweenfiberpigtailandC-lensandtheexpressiontogetherwiththecurveofworkingdistanceofC-lensisobtained.Theresultsoftheresearchcanbeveryvaluableinawiderangesuchasthedesign,optimizationofC-lens,andtheimprovementofqualityofC-lensfibercollimator.Keywords:C-lens;Gaussianbeam;fibercollimator;workingdistance,,.,,.,.,,,,.,.,GRIN-lens[1].,.C-lens,GRIN-lens.,:(1979),,,.:(K02030):2004-04-25.C-lensC-lens,.1C-lens,,C-lens,,,C-lens,,99.9%.图1　C-lens结构C-lens1,LC-lens,C-lens,,.GRIN-lens,C-lens,,.,8(),C-lens60dB,[2].2C-lens图2　C-lens光纤准直器结构2C-lens.,,.C-lens,,CoreDWDM,.C-lens,C-lensC-lens,,qABCD[3].C-lens:n=1.744742,L=3.85mm,=8(),=1.8mm,=1.8mm,n0=1.图3　C-lens基点位置3C-lens,sF,sF.C-lensb=0.22mm,C-lens0.022066mm,C-lens1.8mm,C-lens,C-lens.C-lens[4]T=10n0-nn0nn01L01100n0n=1Ln0nn0-nn0n0-nn0L+nn0n0n.371:C-lens:f=-1T21=2.416944mm,s=-T22T21=0.210314mm,s=-T11T21=-1T21=f.2,(Fiberpigtail)C-lensb,C-lens.0=5.0533310-3mm,=1.5510-3mm.qq0=20i=0.051758i.dC-lensC-lens,C-lensC-lensdM=ABCD=1d01T1b01.qM=ABCD,ABCD:q2=Aq1+BCq1+D.C-lensC-lensdq(b,d)q(b,d)=Aq0+BCq0+D.图4　光斑半径与d的关系d(b,d)=1-Im1q(b,d).(1)C-lens,,C-lensbs,b=0.22mm.(0.22,d)d4,0.231951mm,,d22.823226mm,,d120mm,0.310689mm.dR(b,d)=1Re1q(b,d).(2)R(0.22,d)d5,d=22.823226mm,R,.(1)(2)C-lens38()20050(b)=(b,d)21+(b,d)2R(b,d)2.0(b)b6,b=s=0.210314mm,C-lens,C-lens0.235973mm.图5　光斑曲率半径R与d的关系图6　高斯光束束腰半径0与b的关系图7　瑞利距离ZR、束腰离C-lens球面中心距离Z与b的关系C-lensZ(b)=R(b,d)1+R(b,d)(b,d)22.C-lensZR(b)=0(b)2.ZR(b)Z(b)b7.ZC-lens,b=0.262mm,Z-58.849459mm,b,C-lens.ZR,20,2.ZR,,,[5].3C-lens,,W,C-lens,.W7ZR(b)Z(b)b,WW(b)=ZR(b)-Z(b),ZR(b)Z(b),W(b)=2ZR(b),ZR(b)Z(b).7,W(b).ZR(b)=Z(b)b=0.259944mm.WW(b)=ZR(b)-Z(b),0.156239b0.259944,W(b)=2ZR(b),0.259944b.391:C-lens图8　工作距离W与b的关系W(b)b8,.b=0.156239,0,,.b=0.232,W(b)138.65.C-lens,C-lensb,b0.220.24,W130mm,.4,C-lensqABCDC-lensC-lens,C-lensb,C-lensW.C-lens,C-lens.参考文献:[1],.[J].,2003,27(5):437-439.[2],,,.C-lens[J].,2003,16(1):24-28.[3],,,.:4[M].:,2000.74-79.[4],,,.[M].:,1995.33-48.[5],.[M].:,1992.217-220.(:)40()2005