ODZ_Optical design with Zemax Exercises 2.doc

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1、22012-10-31Prof.HerbertGrossFriedrichSchillerUniversityJenaInstituteofAppliedPhysicsAlbert-Einstein-Str1507745JenaExercisesLectureOpticaldesignwithZemax–Part22Part2:3DGeometry/GratingandRefractiveIndex12.1Stair-mirror-setup12.2Gratingspectrometer42.3FitofRefrac

2、tiveIndex52Part2:3DGeometry/GratingandRefractiveIndex2.1Stair-mirror-setupSetupasystemwithastairmirrropair,whichdecentersanincomingcollimatedraybundelwith10mmdiameterby40mminthe-ydirection.Thewavelengthofthebeamisl=632.8nm.Afterthispairofmirrorsadecenteredmaino

3、bjectivlenswithfocallengthf=200mmmadeofBK7islocated25mmbelowtheopticalaxisandfocussesthebeam.a)setupthesystemb)generatelayoutdrawingsin2Dandin3Dc)calculatethebeamcrosssectiononthesecondmirror,whatisthesizeofthepattern?d)determinetheoptimalfinalsensorplanelocati

4、on.Calculatethespotofthefocussedbeam.Discusstheshapeofthispattern.e)nowextendtheseparationbetweenthetwomirrosto200mm.Thesystemnowshouldbemodifiedtohaveanintermediatefocalpointinthemidpointbetweenthemirrors.Calculatetheradiiofthemirrorstorecollimatethebeambefore

5、therefractivelens.Determineagainthebestimageplane.Ifthespotdiagramisconsidered,whatisthereasonforthedrasticchange?2.2GratingspectrometerAlineargratingwithalinedensityof0.3Lp/mmisilluminatedbyacollimatedbeamwithaspectralbroadwavelengthbetween400nmand700nm.Thegra

6、tingisblazedandisusedinthe+1storder.Thespectrumisobservedinasensorplane,whichisobtainedafterasymmetricalbi-convexlenswithfocallengthf=100mm,athicknessof10mmandSF6asmaterialinatelecentricarrangement.a)SetthesysteminZemaxb)Whatisthespreadingofthespectruminthesens

7、orplane?22.1FitofRefractiveIndexThefollowingdataaremeasuredvaluesoftheordinaryrefractiveindexofsapphire.Thefirstcolumngivesthewavelengthsinmm,thesecondcomlumnthecorrespondingindices.0.3371.800820.3511.796930.3551.795980.4421.780380.4581.778430.4881.775300.5151.

8、773040.5321.771700.5901.768040.6331.765900.6701.764330.6941.763410.7551.761410.7801.76068FitaSellmeierdispersionformulaonthesedata.Calculatetheindexofsapphireforawavelengtho