2013-06-03Prof.Herbert GrossFriedrich Schiller University JenaInstitute of Applied PhysicsAlbert-Einstein-Str 1507745 JenaSolution of ExercisesLecture Optical design with Zemax for PhD -Part 55.1 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 spotdiameter5.2 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 emror 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>0.85.3Aplanatic lensConsider a collimated incoming beam with wavelength 500 nm and diameter 10 mm.This bundleshould be focussed by a perfect lens of focal length f=50 mm.a)Place an aplanatic-concentric lens shortly behind the ideal lens with the material SF57.What is theresulting numerical aperture in the image space Show at least two different methods to find the bestimage position.b)Show that the spherical aberration of this setup is exactly zero for all orders.c)Aplanatic means,that the linear coma vanishes and the imaging is free of coma for a small butfinite field size.Show this property by using a small field of 2 for the current system.What is thelargest present aberration1/1