2013-06-17Prof.Herbert GrossFriedrich Schiller University JenaInstitute of Applied PhysicsAlbert-Einstein-Str 1507745 JenaSolution of ExercisesLecture Optical design with Zemax for PhD -Part 88.1Multi configuration,universal plot and sliderLoad a classical achromate with a focal length of f 100 mm,no field and numerical aperture NA0.1 from one of the vendor catalogs.Fix the wavelength to =546.07 nm.a)Add a thin mensicus shaped lens behind the system with an arteficial refractive index of n =2 toenlarge the numerical aperture by a factor of 2 without introducing spherical aberration.To achievethis,the surfaces must be aplanatic and concentric.b)Now reduce the numerical aperture to a diameter of 2 mm and set a folding mirror in the front focalplane of the system.The incoming beam should be come from below and is deflected to the rightside.c)Generate a multi-configuration system for a scan system by rotating the mirror.The first coordinatebreak angle can take the values-50°，-47.5°，-45°，-42.5°and-40°.The second coordinate breakshould be defined by a pick up with a resulting bending angle of the system axis of-90.d)The chief ray of the scan system is telecentric in the paraxial approximation.Due to the residualaberrations of the system,there is a deviation from the telecentricity in the real system.Show this bya correponding universal plot.e)Show the variation of the spot in the image plane by using the slider.8.2 Multiconfiguration Interferometer 1A Mach-Zehnder interferometer has the following principal geometrysamplebeamcombinertest armdetectorsourcereference armbeam splittermirrora)Set up a Mach-Zehnder interferometer as a multi configuration.The incoming beam should have awavelength of=632.8 nm and is collimated with 10 mm diameter.The long sides of theinterferometer are 100 mm long and the short ones 50 mm.b)Introduce a Zernike surface on one side of the sample and make it visible in the interferogram.Asan axample,a spherical aberation of 5h order (term No.16 in Fringe nomenclature)with 1coefficient should be used.1/22c)Show the effect on the interferogram,if one mirror is shifted in a direction by 1 mm,which causes alateral displacement of the test beam.What happens,if the combining mirror is tilted wrong by 0.1?What happens,if a tilt is set in the interferogramm settings8.3Universal plot for 4f-System TelecentricityEstablish a generalized 4-f-optical system with the achromatic lens LAL 50.0-20.0 from the catalog ofCVI Melles and Griot with focal length f =50 mm as front lens and LAL 200.0-50.0 with f2=200 mmas a rear group.The wavelength should be 632 nm and the initial numerical aperture NA=0.1.a)What is the numerical aperture in the image spaceb)If the stop is located in the intermediate focal point,the system is both sided telecentric.If theobject sided telecentricity is forced explicitely in Zemax,detemine the residual telecentricity error inthe image space as a function of the object field height between y =0 and 4 mm as a universal plot.c)Generate a two-dimensional universal plot,which shows the spot rms-diameter in the image onaxis as a function of the object distance and the image distance.The distances should be variied in arange of 10 mm in the object space and 20 mm in the image space.d)If the lens groups are turned around,the performance of the image is worse.Compare the two spotdiameters of both configurations.What happens to the telecentricity criterion of b)?