2013-01-17Prof.Herbert GrossFriedrich Schiller University JenaInstitute of Applied PhysicsAlbert-Einstein-Str 1507745 JenaExercisesLecture Optical design with Zemax-Part 777.1Fourier filtering and Imaging17.2Ring illumination with axicon......7.3Fiber coupling and radiation97Correction7.1 Fourier filtering and ImagingSet up a telecentric 4f-system with a magnification of m =4.The system should be arranged by twoappropriate achromates from conventional vendor catalogs with the focal lengths f=25 mm and f2=100 mm.The wavelength of the application is the e-line,the object size is 3 mm and the numericalaperture should be NA=0.1.a)Set up the system with telecentric behavior in the object and the image space.In particular adjustthe system and a rectangular stop with approporiate size in the intermediate focal plane.Theadjustment should be performed on axis only.b)Check the magnification of the realized lens.Calculate the performance of the system in the centerand the edge of the field size.Is the system diffraction limited What are the dominantaberrations in the fieldc)Show,that the resolution of the system in the field is anisotropic due to the elongated shape of thespot by inspecting the MTF of the system.d)Calculate a diffraction based imaging of the complete object field.Take a rectangular grid as anobject.Can the anisotropic resolution be seenNow calculate a geometrical imaging model of the same grid.What is the difference between theresults of both modelse)To demonstrate the Fourier filtering in the pupil plane,removechange the rectangular pupil stop bya slit with dimensions Dx =5 mm,Dy =0.15 mm.What changes with the diffraction limited imageWhat is the consequence for the geometrical imagef)Calculate the Airy diameter of the system and constitute an object with size 10 times the Airydiameter.Put this small object in the center and at the edge of the field.Discuss the results andcompare them.Is the grid resolvedSolution:a)Corresponding achromates are found for example in the catalog of Melles&Griot as:First lens with f 25 mm:LAO -25.0-12.51/132Second lens with f =100 mm:LAO-25.0-12.5The first achromate must be reversed.The distances must be adjusted in a way to guarantee acollimated ray bundle between the lenses and to let the chief ray cross the optical axis in the backfocal plane of the first lens.The system stop has to be fixed at the intermediate focal point.Correspondingly the distance between the stop and the second lens must be amranged to gettelecentricity in the image space,the final image distance must be adjusted to get a sharp image.1 step:find t1,merit function angular radiusfind t2,not telecentric,initial distance infinity,entrance pupil at lens with diameter D 3mm3d step:after adding the second lens:adjusting the distance behind the stop:chief ray parallel to axis,merit function withREAB=05th step:focusing image plane on axis;merit function with spot criterionThe result is (for this choice of lenses):Edit Solves ViewSurf:TypeRadiusThicknessGlassSemi-DiameterInfinity0.0000000Infinity22,0215000Seandard41.52100001,0000000N-SF106.2500000可312.41900009.5000000N-BAK46.2500000可Standard1A0-25.0-12.5-15.796000029.25350006.2500000U97,461744165.786000019,000000025.0000000可Standard-50.05700003.5000000N-SF1025.000000d可B.Standard-155.17000025.00000aIMAInfinity4,05866881In the intermediate focal plane,a rectangular diaphragm with half widths 2.5 is placed.X-Decete