2013-05-22Prof.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 spotdiameter4.2 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 limited4.3 Strehl ratio and geometrical vs Psf spot sizeA single lens made of K5 with focal length f 25 mm and thickness d 5 mm is illuminated by adiverging beam with numerical aperture NA =0.1.After the lens the light should be collimated.If thecollimated beam is refocussed without further aberrations,the point spread function is not diffractionlimited.a)Calculate the accurate Strehl ratio,the estimated Strehl ratio and the geometrical and diffractionencircled energy inside the ideal Airy diameter.b)If now the numerical aperture is reduced,the Marechal estimation becomes better.Calculate thelargest NA,for which the relative error is smaller then 2%.What amount for the geometrical anddiffraction encircled energy inside the Airy diameter is obtained herec)Show the Strehl ratio as a function of the numerical aperture as a universal plot.What is themaximum value for getting a diffraction limited correction with Ds>0.81/2