2012-12-11Prof.Herbert GrossFriedrich Schiller University JenaInstitute of Applied PhysicsAlbert-Einstein-Str 1507745 JenaExercisesLecture Optical design with Zemax-Part 54Aberrations....…4.1Multi configuration,universal plot and slider.4.2Singlet optimization........4.3Achromate.…24Aberrations4.1 Multi 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 bye)Show the variation of the spot in the image plane by using the slider.4.2 Singlet optimizationOptimize a single lens with the data 546.07 nm,object in the distance 100 mm from the lens onaxis only,focal length f 45 mm and numerical aperture NA =0.07 in the object space.The lensshould be made of the Schott glass N-K5 and has a thickness of 5 mm.a)Try to start from a plane plate approach to find the best lens bending solution.b)Now start the optimization with a lens and an image distance,which is near to the solution.Is theoptimized lens diffraction limited in its performancec)One possibility to improve the result is to use an aspherical lens.The first approach is to use therear surface with a conic constant to allow the program a conic section as solution.Is this sufficientto get a diffraction limited solution1/22d)Now enlarge the numerical aperture by a factor of two.Re-optimize the system.What about thediffraction limited performance Use an aspherical coefficnet of 4th order to improve the system.What is the resulte)Now introduce a finite object size of diameter 10 mm.What is the dominant aberration for the off-axis field points Can the system by made diffraction limited by re-optimization,for example withmore aspherical constants What can be done to get a better performance4.3 Achromatea)Calculate a classical achromate with the basic data:object at infinityfocal length f 10 mmimage side numerical aperture NA'=0.05glass materials BK7 and SF6wavelength used:d,F,CPerformance: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 2c)If the glass SF6 is used instead of SF12,can a system with equivalent quality be obtained