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在红外应用中使用弯月透镜的优点

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AdvantagesofUsingPlasticHybridAsphericLenses

TECHSPECPlasticHybridAsphericLensesarelowcostopticalcomponentsthatlackbothsphericalandchromaticaberrations.Theseasphericlensesprovideopticaldesignerswithunique,singleelementsolutionsforachievingdiffraction-limitedfocusingperformanceathighnumericalapertureswithbroadbandlightsources.Theseasphericlensesconsistofadiffractivesurfacethathasbeenaddedtoamoldedasphericlens.Theasphericlenseliminatesallsphericalaberration,whilethediffractivesurfacehasaneteffectofintroducingnegativedispersionwhenproperlytunedtotherefractiveindexandwavelengthdesignofthelens,chromaticaberrationiseliminatedaswell.

SphericalandChromaticAberrations

Therearetwomajorformsofaxialopticalaberrationsinherentincommonopticallenses:sphericalaberrationandchromaticaberration.Sphericalaberrationisaninherentcharacteristicofanylenswhosesurfaceisasectionofasphere.Lightoriginatingfromthesameobjectpointcomestoafocusatslightlydifferentpoints(PandP’),dependingonwhethertherayspassthroughthecenterofthelensortheperiphery(Figure1).

Figure1:SphericalAberrationinaSinglePositiveLens

igure2.1:TransverseChromaticAberrationofaSinglePositiveLens

Figure2.2:LongitudinalChromaticAberrationofaSinglePositiveLens

Chromaticaberrationresultsfrommaterialdispersion.Becausedifferentcolorsoflightrefractbydifferentamounts,animagepointformedbylightofonecolordoesnotcoincidewiththecorrespondingimagepointformedbylightofadifferentcolor(Figures2.1and2.2).

ImportantEquations

Sphericalaberrationistypicallyeliminatedbysubstitutinganasphericalsurfaceforthemorecommonsphericalsurface.Thesurfaceprofile(sag)isgivenbyEquation1:

Where

Z=sagofsurfaceparalleltotheopticalaxis

s=radialdistancefromtheopticalaxis

C=curvature,inverseofradius

k=conicconstant

A4,A6,A8=4th,6th,8th…orderasphericterms

However,thisdoesnotcorrectchromaticaberration.Therefore,foramonochromaticlightsource,theasphericsurfacewillprovidediffractionlimitedfocusingatasinglewavelength,butwillsufferalargespotsizeoverabroaderwavelength.

Adiffractivesurfacewillcorrectthesphericalaberration,asshowninEquation2.

Where
Y=radialpositionfromcenteroflens(forinstance,if0isthecenterofthelens,12.5mmwillbetheedgeofa25mmdiameterlens,etc.)
nd=indexofrefractionofthematerialat587.6nm
StepHeight=λ/nd-1
λ=thewavelengthofinterest

Bycombiningthetwofeaturesontoasingleelement,acomponentthateliminatesbothchromaticandsphericalaberrationiscreated.ThatsurfaceisdescribedsimplyasthesumoftheZasphandZdiffcoefficients.

Fortipsonmode领diffractivesinZemaxandCodeV,visittheOpticsRealmblog.

CustomerBenefits

Opticaldesignersoftenneedtofocuslightatveryshortdistances,orcollectandcollimateasmuchlightaspossiblefromverydivergentlightsources.Basicopticalprinciplesdictatethatahighnumericalapertureopticallensisrequiredforeitherofthesescenarios.Ahighnumericalapertureopticallenswilltypicallyhaveafocallengthequaltoorshorterthantheclearapertureoftheopticalsystem,allowingthedesignertomaintainascompactofanopticaltrainaspossible.

Forexample,anopticaldesignerhasmultipleoptionsforachievingafocallengththatisequaltohisclearaperture(ascenarioknownasanF/1lens,oralenswithanumericalapertureof0.50).Thesimplestoptionistouseastandardplano-convexlens,availablefromanumberofdistributors.Spotdiagram,chromaticfocalshiftgraph,polychromaticdiffractionMTF,andtransverserayfanplotforthewavelengthrangeof486-656nmareprovidedfor#45-09725mmDiameterx25mmFLPCXlens.

PCXLens

Figure3.1:SpotDiagramfor#45-09725mmDia.x25mmFLPCXLens

Figure3.2:ChromaticFocalShiftGraphfor#45-09725mmDia.x25mmFLPCXLens

Figure3.3:PolychromaticDiffractionMTFGraphfor#45-09725mmDia.x25mmFLPCXLens

Figure3.4:TransverseRayFanPlotfor#45-09725mmDia.x25mmFLPCXLens

Forimprovedperformance,theopticaldesignercouldconsideranachromaticlensofthesameformfactor,forexample#65-55325mmDiameterx25mmFocalLengthAchromaticLens.Again,thesamecharacteristicsareshownoverthesamewavelengthrange.A74%decreaseinspotsizewitha73%decreaseinchromaticfocalshiftcanbeseen,yieldinganMTFof13lp/mmat40%contrast,asubstantialgainversustheaforementionedsingletlens.

Figure4.1:potDiagramfor#65-55325mmDia.x25mmFLAchromaticLens

Figure4.2:ChromaticFocalShiftGraphfor#65-55325mmDia.x25mmFLAchromaticLens

Figure4.3:PolychromaticDiffractionMTFGraphfor#65-55325mmDia.x25mmFLAchromaticLens

Figure4.4:TransverseRayFanPlotfor#65-55325mmDia.x25mmFLAchromaticLens

Formaximumperformance,theopticaldesigner首ldchooseaplastichybridasphericlens.Inthisscenario,theexactsameformfactorandwavelengthrangeareused,thistimewith#65-99225mmDiameterx25mmFLHybridAsphericLens.Asshown,thislensprovidesdiffractionlimitedfocusingperformance,yieldingtheoptimumperformanceforthedesigner.

PlasticHybridLens

Figure5.1:SpotDiagramfor#65-99225mmDia.x25mmFLHybridAsphericLens

Figure5.2:ChromaticFocalShiftGraphfor#65-99225mmDia.x25mmFLHybridAsphericLens

Figure5.3:PolychromaticDiffractionMTFGraphfor#65-99225mmDia.x25mmFLHybridAsphericLens

Figure5.4:TransverseRayFanPlotfor#65-99225mmDia.x25mmFLHybridAsphericLens

Comparingthespotdiagrams,chromaticfocalshiftgraphs,polychromaticdiffractionMTFs,andtransverserayfanplotsofaplano-convex(PCX)lens,achromaticlens,andhybridasphericlens,itiseasytoseetheadvantagesofusingplastichybridasphericlensesforachievingdiffraction-limitedfocusingperformanceathighnumericalapertureswithbroadbandlightsources.

SelectionGuide

EdmundOpticsTECHSPECPlasticAspheresandTECHSPECPlasticHybridAspheresfamiliesarebothmanufacturedutilizingZeonChemical’sZeonexE48Rmaterial.Zeonexmaterialsfeaturehightransparency,lowfluorescence,lowbirefrengence,lowwaterabsorption,andhighheatandchemicalresistance,makingitasuperiormaterialvs.othercommonlyavailableplastics.ZeonexisaCylcoOlefinPolymer(COP)material.

PlasticMaterialsSelectionGuide

Property

Glass

ZeonexE48R

PMMA

Polycarbonate

Polystyrene

Arton

Transmission

Excellent

Excellent

Excellent

Good

VeryGood

Excellent

LowRefractiveIndex

Excellent

Excellent

Excellent

Poor

Poor

Good

LowBirefringence

Excellent

Excellent

Excellent

Poor

Poor

Excellent

LowWaterAbsorption

Excellent

Excellent

Poor

Good

Excellent

Excellent

ImpactResistance

Poor

Good

Good

Excellent

Good

Excellent

Moldability

Fair

Excellent

Good

Excellent

Excellent

Good

HeatResistance

Excellent

Good

Poor

Good

Poor

VeryGood

CoatingAdhesion

Excellent

Good

Fair

Fair

Fair

Good


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2004-09-12
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