2013-06-25Prof.Herbert GrossFriedrich Schiller University JenaInstitute of Applied PhysicsAlbert-Einstein-Str 1507745 JenaSolution of ExercisesLecture Optical design with Zemax for PhD -Part 99.1Achromatea)Calculate a classical achromate with the basic data:object at infinityfocal length f 10 mmimage side numerical aperture NA'=0.05-glass materials BK7 and SF6wavelength used:d,F,CPerformance:1.spherical correction at the aperture boundary zero2.achromatic correction with identical image position for F and CIs the system diffraction limited on axisb)Describe the perfommance for a finite field angle of 2.c)If the glass SF6 is used instead of SF12,can a system with equivalent quality be obtainedSolutiona)Starting data,approximated(Lens Data EditorSurf:TypeCommentRadiusThicknessSemi-DiameterInfinity0.0000000StandardInfinity1.00000000,5000000Standard0.5000000BK71.32500003Standard-7.0000000.2500000SF121.32500004Standard-20.000001.3250000IMAStandardInfinity0.0497767Merit function:The longitudinal aberration for the main wavelength is decomposed explicitely by single ray results forthe intersection lengths difference between the marginal and the paraxial ray.Furthermore the green image plane should be the reference plane.1/13Merit Function Editor:1.716129E-010OperTypeSurtTarget Neight2:EFFLEFFL210.00000001,00000003:BLNKBLNK4:AXCL10.00000000.00000001.0000000marginal6:REAYREAY20.00000000.00000000.0000000REAB1.00000008:DIVIDIVI0.00000009:BLNK10:PARYPARY0.00000000.00000000.00000001.00000000.00000000.000000011:PARB0.00000000.00000001.00000000.000000012:DIVIDIVI110.00000014:DIFFDIFF15:BLNKBINK Reference plane green marginal ray height zero16:PARYPARY20.00000000.00000000.00000001.00000000.00000001.0000000Solution after optimization:Lens Data EditorSurf:TypeCommentRadiusThicknessGlassSemi-DiameterOBJ StandardInfinityInfinity0. 0000000StandardInfinity1.00000000.5000000StandardLA01235.10414210.5000000BK71.3250000可Standard-4.4767920.25000001.32500004*Standard9.55573391.3250000IMAStandardInfinity3.51E-004光32:Longitudinal AberrationUpdate Settings Print Window Text ZoomPupil Radius:0.5000 Millimeters.52 3.904 3.906 9.908.b)For a finite field of 2 the spot diagram is seen here.The performance is diffraction limited in bothcases.although the correction in the field shows considerable coma.Spot Diagram26.09.20120 nits are um.Airy Radius:7.163 pnFieldRMS radius0.1710.6480.3511.826Achromat classic startThis can also be seen by analyzing the Zemike coefficients,the cs has the largest value.