2013-05-31Prof.Herbert GrossFriedrich Schiller University JenaInstitute of Applied PhysicsAlbert-Einstein-Str 1507745 JenaSolution of ExercisesLecture Optical design with Zemax for PhD -Part 44.1 Transverse aberration curveEstablish a system with an ideal lens of focal length f 100.mm,a wavelength of 600 nm and acollimated input bundle of diameter 10 mm.a)Define the slider option with the image distance as a variable.Open the transverse aberration chartwith a fixed scale of 100 um.What happens with the aberration curve,if the slider is movedb)Now introduce a thin glass plate in front of the perfect lens and define one side as a Zemikesurface with coma as type (c8)of one wavelength.What is now the result for the moving sliderExplain the result,if c7 is taken instead of c8.c)If now spherical aberration is introduced by the plate in selecting c9,what is seen for the defocusOpen also a spot diagram with fixed scale.Determine the best image plane for an overall small spotdiameterSolution:Setup of the initial system:a)The slider option is used in the following setting:1/142Slider 1100.72SurfaceThicknessStart:99Stop:101As a result,the transverse aberration curve is tilted corresponding to the interpretation of thetransverse aberrations in the case of defocussing.b)The system looks as follows:For a defocussing by the slider,99SurfaceStart:99a strong parabolic shape due to the coma in the meridional plane is seen,which is tilted by thedefocus.If c7 is chosen the orintation of the coma is rotated and the parabola switches from the meridional tothe sagittal plane.c)For spherical aberration a cubic curve is superposed on the linear change.If the scale of theaberration curve is fixed to 300 um,the best image plane is estimated to be at 101.44 mm.For thisvalue,the residual zonal deviation has approximately the same size at the edge emor.3*YT4.2 Aspherical lensLoad the catalog lens A20-18HPX from Asphericon.a)What is the residual correction in wave aberrations and in spot sizeb)Show,that the asphere is sensitive for finite field sizes by introducing a field with angle 0.1.Whatis the dominating type of aberrationc)What is the highest order of the chosen Taylor expansion Calculate the performance on axis,ifthe three highest expansion coefficients are set to zero.Is the system still diffraction limitedSolution:The lens is established as follows:a)The Zernike coefficients are zero in the available accuracy.The plots of the residual transverseaberrations shows a maximum value of 103 um =1 pm.