2013-07-01Prof.Herbert GrossFriedrich Schiller University JenaInstitute of Applied PhysicsAlbert-Einstein-Str 1507745 JenaSolution of ExercisesLecture Optical design with Zemax for PhD-Part 1010.1 Field lens flattenerA field lens near to the image plane can help to correct a system for field curvature.a)Load the f =50 mm lens AC 300-050-C of the Thorlabs lens catalog.let the incoming light be acollimated beam at =0.55 um with a diameter of 10 mm.Define the three field points for initail fieldangles of 0,3 and 5 degree.b)Calculate the Seidel bar diagram and the spot diagram.What are the dominant aberrations of thesystemc)Introduce a concave-plane field lens with thickness 5 mm.What is the preferred material and whatis the best focal length to correct the system for Petzval curvature The distance between theachromate and the field lens should be optimized only on axis.d)What is the result,if the spot is optimized for all field pointsSolution:The achromate with f 50 mm looks like the following figure:Lens Data EditorSurt:TypeCommentRadiusSemi-DiameterOBJ StandardInfinityInfinityInfinityStandard10.00000006.45366322StandardAC300-050-C41.690000010.0000000N-BAF1015.0000000미-22,7000002.0000000N-SF6HT15,00000004-75.68000043.904367615.0000000IMA Standard4.3898183b)The Seidel diagram and the spot diagramm looks as follows.The dominant aberratins areastigmatism and field curvature.Spherical aberration and coma are only a little bit smaller.1/102:Seidel Diagram回c)The additional field lens is inserted and the distance between the achromate,the front surfaceradius and the refractive index are chosen be be varable.In the merit function.the spot only for theaxis point and the field curvature (FCUR)are forced to be corrected.The first result gives a modelindex of n 1.84.The glass,which is nearest to this value if N-LASF41 with n 1.83913.Afterinserting this,the system is re-optimized and becomes free of field curvature:Lens Data EditoSurf:TypeRadiusThicknessGlassSemi-DiameterInfinityInfinityInfinity6.4536632241,690000010,0000000N-BAF100,0000000-22,7000002,000000015,00000000,0000000Standard-75.68000042.56025930.0000000Standard-33.6649423.0000000N-LASF410.0000000Infinity4.60425903Field Curvature+Y12(p)SIN (A)1,56315788:0.00000000*SIN-0.61542847:0.0512919962+1)10.000000000.00368320:0.00000000:1521-0.00300616:(20p^6-30p^4+12p^2-1】d)If the spot is optimized for all field points,the mean curvature is reduced,the astigmatism is nearlysymmetrically around the image plane.The field lens looks completly different,the astigmatism isreduced.Lens Data EditorHelpSurf:TypeCommentRadiusThicknessGlassSemi-DiameterStandardInfinityInfinityInfinity1StandardInfinity10.00000006.4536632StandardAC300-050-C41,690000010.0000000N-BAF1015.0000000UStandard-22.7000002.0000000N-SF6HT15.0000000U4Standard-75.68000042.677270515.0000000U5Standard-11.1592703.0000000N-LASF419.0000000StandardInfinity0.00000009.0000000IMAStandardInfinity5.0508365