消色差复合透镜之模拟与分析

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1、消色差複合透鏡之模擬與分析林正峰，林世堃，杜彥錫ModelingandanalysisofthehybridachromaticlensDepartmentofElectricalEngineeringSouthernTaiwanUniversityofTechnologyTainanCONTENTSIntroductionofthehybridlensProfileofthediffractivesurfaceHybridlensandaberrationsThicknesscomparisonandrayfanplotFabricationerrorsSim

2、ulationofdiffractionefficiencyPSFandMTFofthehybridlensSummaryIntroductionofthehybridlensAdvantages：CorrectthechromaticaberrationandotheraberrationsReduceweight,volume,andcost+=RefractivelensDiffractivelensHybridlensnd-vdd-line(587nm)、C-line(656nm)andF-line(486nm)Phaseshiftfunction-4π

3、-6π-8πr-2π由於如果將修改成modulo2π的相位結構，我們便可得到blazed-typeFresnel透鏡的相位函數m為第幾個zone的意思，rm為第m個zone的內半徑。f:焦距r:半徑Profileofthediffractivesurface繞射面的表面輪廓(profile)T(r)可表示為：Topt為繞射面的最大深度，即，為設計波長rmr1m-thzoneTOPTr2rmaxT(r)1stzone0thzonerDesignproceduresofthehybridlensDefinePurpose、EnvironmentandFabricat

4、iontechnologyFindachromaticcoefficient(A)andsphericalaberrationcoefficient(G)UsethecommercialopticalsystemdesignsoftwaretooptimizeProducediffractiveprofileSimulatetheSPDTSimulatediffractionefficienciesofdiffractivesurfacesbydifferenttypesofdiamondturningtoolsanddifferenttoolsradii.Co

5、mpareandanalyzeHybridlensandaberrationshyfMarginalrayChiefrayB=1convextoleftandplanetorighty:radius(aperture/2)Φref:opticalpowerC:conjugateparametern:refractiveindexB:bendingparameterSphericalaberrationofrefractivesurface:HybridlensandaberrationUsingtheequationbelow,wecanfindspherica

6、laberrationcoefficient(G):Bythecommercialopticalsystemdesignsoftware–OSLO,wecanoptimizethecoefficientsAandG.Assumetheobjectisatinfinity,i.e.,C=-1.Inaddition,therefractiveindexforthediffractivesurfaceisinfinite,sowecanfindtherelationship:DesigncasesEFL:99.76mm,aperture/2:25mm,F/#:2Pri

7、ncipalwavelength:0.589mm,otherwavelengths:0.486mmand0.656mm,viewangle:3oEFL:100mm,aperture/2:64mm,F/#:3.3Principalwavelength:0.589mm,otherwavelengths:0.486mmand0.656mm,viewangle:25.17oDoublet(SF2/BAK1)Hybridlens(Glass)Hybridlens(PMMA)Eyepiece(BK7/SF61)Eyepiece(Hybridlens)(Glass/PMMA)

8、Usp2,829,560