基于微透镜阵列光束均匀化的傅里叶分析-殷智勇

422Vol．42No．220122LASER＆INFRAREDFebruary20121001-5078201202-0119-05··11111121．0500032．73151361100。。。TN245ADOI10．3969/j．issn．1001-5078．2012．02．001FourieranalysisoflightbeamuniformitybasedonthemicrolensarrayYINZhi-yong1WANGYue-feng1JIAWen-wu1HUANGFeng1QIANGJi-ping1LEICheng-qiang1ZHANGLin-lin21．Optics＆ElectricsEngineeringDepartmentOrdnanceEngineeringCollegeShijiazhuang050003China2．TheUnit73151ofPLAXiamen361100ChinaAbstractInordertoimprovetheuniformityofhigh-powersolid-statelaserpumplightbeamthebasictheoryofbeamsmoothingwithimagingmicrolensarrayanddiffractingmicrolensarrayisanalyzed．BasedontheFresneldiffractiontheoryandFouriertransformformulaintensitydistributionstochasticsolutionofmicrolensarrayonfocalplanehasbeenderivedandthehomogeneouseffectsoftwokindsofmicrolensarraysarecompared．Meanwhiletheinfluencesofrelativeapertureofonelensletandthedistancebetweentwomicrolensarraysontheintensitydistributionarere-searched．Theresultsshowthatimagingmicrolensarrayisofbetterhomogeneouseffectandtherelativeapertureofonelensletisakeyfactortoaffecttheuniformityoflightbeam．KeywordsmicrolensarraybeamuniformityFouriertransformrelativeaperture1DPSSL。1－2。。3。4。、、5－6。。“863”。1984－。[e-mail]2011-08-292011-09-2522．171。。1Fig．1schematicdiagramofmicrolensarray。λ。2n+1pfLfF。Uy1z+1=Uy1z－1Ty11Ty1Ty1=∑nN=－nδy1－pNrecty1()p×exp－iky212f()L2y1“+”yfUyfzf=∫∑nN=－nδy1－pNrecty1()p×exp－iky212f()L×exp－i2πy1f'dy1f'=yfλf()F3Uyfzf=U1×U2U34U1=F∑nN=－nδy1－pN{}=exp－i2πnpf'1－expi2πpf'2n+11－expi2πpf'=sinπ2n+1pf'sinπpf'5U2=Frecty1(){}p=pSincpf'6U3=Fexp－iky212f(){}L=iλf槡LexpiπλfLf'27Uyfzf=2n+1pSinc2n+1pf'iλf槡LexpiπλfLf'281。2．28。d。2。。2Fig．2schematicdiagramofmicrolensarrayd=fLy1“+”y2“－”Uy2z－2=expikfLiλfL∫Uy1z+1×expiky2－y122fLdy1=expikfLiλfL×expiky222f()L×sinπ2n+1pf'πf'9f'=y2λfLf″=yfλfFUy2z+2=Uy2z－2Ty2=sinπ2n+1pf'πf'×∑nN=－nδy2－pNrecty2()p10Uyfzf=Fsinπ2n+1pf'π{f'×02142∑nN=－nδy2－pNrecty2()}p=∫sinπ2n+1pf'π2n+1pf'2n+1p×∑nN=－nδy2－pNrecty2()p×exp－i2πy2f″dy2=2n+1pSinc2n+1pf″λfLrectλfLf″2n+1()p112．3811Sincrect。=－/%。。。Matlab8113a。。。811rect。Sinc。3b。3。。。ThorlabsMLA150－7ARp=150μmf=6．7mmλ=808nm。。。。3．1p4。4a、4b4c121No．22012。4d。5。。5Fig．5microlensfocusaffectsonthesystemproperties。pd。dsinθ=mλ。。4d。5d。。3．2d1211。Uyfzf=2n+1pSinc2n+1pf″λfLrectdλ2n+1p()f″×－λfL槡d2fL－d槡×exp－iπf″2λfLd－fL2fL－()d126Fig．6distancebetweenmicrolensarraysaffectsonthesystemproperties。d02f0。d。221424。。。。。1HuangFengJiaWenwuWangYuefengetal．Theoryanddesignoflaserbeamhomogenizerbasedonmulti-aperturebeamintegratorJ．Laser＆Infrared201040144－47．inChinese．J．201040144－47．2HuangFengJiaWenwuWangYuefengetal．Highden-sitypumpingsourcesbasedondiffractive/reflectivebeamshapingsysytemsJ．InfraredandLaserEngineering201039161－66．inChinese．/J．201039161－66．3JinGuofanTanQiaofeng．BinaryOpticinChinaC．SPIE20024900832－840．4GaoHongyunFuRulianChenDeshengetal．Designofhollowductascouplingsysteminsolid-statelaserend-pumpedbyLDAJ．JournalofOptoelectronics·Laser2005165541－544．inChinese．LDAJ．·2005165541－544．5HomburgOBayerAMitraTetal．Beamshapingofhighpowerdiodelasersbenefitsfromasymmetricalrefractivemicro-lensarraysC．SPIE2008687668760B－1－68760B－7．6SchreiberPBannbergPHoeferB．Chirpedmicrolensar-raysfordiodelasercircularizationandbeamexpansionC//SPIE2005578658760k－1－58760k－8．7ButtnerAZeitnerU．Waveopticalanalysisoflight-emit-tingdiodebeamshapingusingmicrolensarraysJ．Opti-calEngineering200241102393－2401．8WippemannFZeitnerUDannbergP．BeamhomogenizersbasedonchirpedmicrolensarraysJ．OpticsExpress200715106218－6231．321No．22012