StudyonMeasuringPistonErrorofSegmentedMirrorUsingPyramidSensorZhuNenghongChenXinyangZhouDanCaoJianjunShanghaiAstronomicalObservatories,ChineseAcademyofSciencesShanghai200030ChinaAbstract:Itisnecessarytomeasurethepistonerrorofsub-elementsaccuratelywhendevelopingsegmentedmirrorofopticaltelescope.Onthebasisofanalyzingthepyramidsensor(PS)principle,somepistonmeasurementswerecarriedwithsubelementsstimulatedbytworeflectivecubesAcertainrelationshipisconfirmedbetweenthesensingvalueandtherelativepistonvalueofsub-elements.Atpresent,themeasuringaccuracyisaboutseveraltensofnanometerswhentherelativedisplacementbetweentwoelementsiswithinonewavelengthKeywords:astronomicalopticaltelescope;piston;pyramidsensor;segmentedmirrorPACS:07.07.Df;42.79.Pw;43.60.Uv200030piston10533040∑−−=+=43241),(),(),(),(),(),(ppippppppppxyxIyxIyxIyxIyxIyxS1i∑=−−+=414321),(),(),(),(),(),(ippippppppppyyxIyxIyxIyxIyxIyxS)y,x(Ii4,3,2,1i=)/2sin(λπδ∝Sδ-2-°αF2)180)(1n(≥−−αF2)180)(1n()180)(1n(2211≥−−−−−ααα1α2n1n2150xS0)/2sin(SSTxA++⋅⋅=ϕπmn)SˆS(RMSEn1i2ii−−=∑=iSiSˆ-4-[1]ChananG,TroyM,OharaC.PhasingthePrimaryMirrorSegmentsoftheKeckTelescopes:AComparisonofDifferentTechniques[J].Proc.SPIE,2002,4003:188-202.[2],,.[J].,2007,36(S1):228-231.[3]RagazzoniR.PupilPlaneWavefrontSensingwithanOscillatingPrism[J].J.ModernOpt.1996,(43):289-293.[4]EspositoS,DevaneyN.SegmentedTelescopesCo-PhasingUsingPyramidSensor[C].ESOConferenceandWorkshopProc.,2002,(58):161-166.[5]EspositoS,PinnaE,etal.PyramidWavefrontSensorattheWilliamHerschelTelescope:TowardsExtremelyLargeTelescopes[J].theINGNewsletter,2005,(10):26-27.[6].Fizeau[D].,2007,55-59.[7]RiccardiA,BindiN,etal.LaboratoryCharacterizationofa“Foucault-like”WavefrontSensorforAdaptiveOptics[J],Proc.SPIE,1998,3353:941-951.[8]EspositoS,PinnaE,etal.Co-PhasingofSegmentedMirrorsUsingPyramidSensor[J].Proc.SPIE,2003,5169:72-78.[9],.[J].,2006,24(4):362-372.1939-1.56nhzhu@shao.ac.cn1975-xychen@shao.ac.cn