2013-06-07Prof.Herbert GrossFriedrich Schiller University JenaInstitute of Applied PhysicsAlbert-Einstein-Str 1507745 JenaSolution of ExercisesLecture Optical design with Zemax for PhD -Part 66.1 CPP expressed in Zernike polynomialsA cubic phase plate can be used to enhance the depth of focus.It is described by the simplepolynomialin normalized pupil coordinates and can be expressed by a superpostion of Zernike functions in theforma)Establish a simple system with an imcoming collimated beam at the wavelength=546 nm,adiameter D =7 mm and a focussing perfect lens of focal length f=100 mm.A thin plane parallel plateof BK7 with thickness t=5 mm is used as a phase plate.To get this functionality,one side is shapedas a Zernike surface according to the representation above with a normalization radius of 3.5 mm.The constant a should be 0.0080.Visualize the surface contour of the cubic phase plate.b)Calculate the variation of the spot size over a defocus range of -20...+20 mm.Find the extendeddepth of focus,which should be defined as the interval,where the rms-spot is doubled in comparisonto the best image plane.c)Calculate the shape of the spot in the best image plane and at a distance of z=95 mm.What isobserved Calculate the MTF of the system in the surface representation for all azimuthal angles.What is the transfer behavior for different rotational settings of a bar patternd)Try to model the phase plate with another aspherical surface representation in Zemax.6.2 Multi configuration,universal plot and slider(ODZ 12)Load 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 bya correponding universal plot.e)Show the variation of the spot in the image plane by using the slider.1/1