2012-08-14Exercises Zemax 3 AberrationsProperties of systems3.1Exercise 3-1:Strehl ratio and geometrical vs Psf spot size......3.2Exercise 3-2:Performance of an achromate..............3.3Exercise 3-3:Anamorphotic Diode collimator.....3 Properties of systems3.1Exercise 3-1: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 a divergingbeam with numerical aperture NA 0.1.After the lens the light should be collimated.If the collimated beamis refocussed without further aberrations,the point spread function is not diffraction limited.a)Calculate the accurate Strehl ratio,the estimated Strehl ratio and the geometrical and diffractionencircled energy inside the ideal Airy diameter.b)If no the numerical aperture is reduced,the Marechal estimation becomes better.Calculate the largestNA,for which the relative error is smaller then 2%.What amount for geometrical and diffraction encircledenergy is inside the Airy diameter is obtained here3.2Exercise 3-2:Performance of an achromateLoad a classical achromate out of a vendor catalog with focal length f=100 mm.a)What is the numerical aperture of the system in the image side Is the system diffraction limitedb)Calculate the Seidel surface contributions of the system in the desired orientation and for the reversedlens.c)Determine the range of finite field angles,for which the original achromate is diffraction limited,if 546 nmand a reduced aperture diameter of 15 mm is considered.3.3Exercise 3-3:Anamorphotic Diode collimatorA semiconductor diode with wavelength 650 nm and the divergence apertur values 0.4/0.1 in the fast ansslow axis respectively should be collimated in a circular beam with a diameter of approximarely 8 mm.Thecollimated beam is now focussed into a fiber with numerical aperture of NA =0.1.diodecircular beamNAy =0.4D=8 mmL4NAx=0.1L2cylindrical lensfocussing lensfiberNA=0.1L1L3asphericalcylindrical lenscollimatorFind a solution for this problem with only available catalog lenses.Is the setup diffraction limited Explain the shape of the residual spot pattern.What are the reasons for theresidual aberrations in the system What can be done to further improved the resultDiscuss possible steps to get a shorter system.What are the consequences of a compact layout