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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