2012-10-20ExercisesLecture Optical design with Zemax-Part 11.1 Singlet imaging setupSetup a system with a single lens to image an object.The wavelength should be =632.8 nm,the lens is madeof the glass N-BK7 with radii R1 30 mm,R2 =-50 mm and a thickness t =5 mm.The object distance is 50mm.The numerical aperture in the object space is NA=0.1.a)Establish the system and determine the approximate image distance by three methods:1)distance,wherethe marginal ray intersects the optical axis or 2)distance,where the spot of the axial object point has aminimal size or 3)determine the location in the layout,where the ray caustic has a minimal size.b)What is the focal length of the system Determine the magnification and the numerical aperture in the imagespace.What is the reason for the differences in the direction cosines for real and paraxial raytracingc)What is the relative enlargement of the spot size in the image for an object with diameter 10 mm at the edgein comparison to an object point on axis1.2 System layout with ideal lensesA collimated laser beam with wavelength 1.064 m and diameter D =2 mm should be expanded by a Kepler-type afocal telescope with a factor of 5.The enlarged beam is then focussed down by a cylindrical lens withfocal length f=100 mm to get a line focus.a)Setup the system described above by ideal lensesb)Show the line focus graphically1.3 Symmetrical 4f-systemSetup a telecentric 4f-imaging system with two identical plano-convex lenses made of BK7 with thickness d =10mm and approximate focal lengths f 100 mm.The wavelength of the system is 546.07 nm and thenumerical aperture in the object space is NA =0.2.The object has a diameter of 10 mm.a)Determine the layout and the spot diagram of the system,if the setup is perfectly symmetrical.b)Optimize the image location.Why is the spot size improvedc)If the starting aperture is decreased,the system becomes more and more diffraction limited.What is thevalue of the NA to get a diffraction limited system on axis Take in mind here,that the lowered sphericalaberrations needs a re-focussing,which depends on the aperture.1.4 Conic surfaceA system with an ellipsoidal mirror should be installed.For this task,the following steps should be performed:a)A source with wavelength )=1.064 Hm and numerical aperture NA =0.1 is imaged by a spherical mirror in a1:1 setup with a mirror radius of 20 mmb)The image distance is enlarged to 40 mm.The radius of the mirror and the conical constant is optimized forthis geometryc)The coordinate system is rotated by 60directly after the object.For a proper layout,the subaperture of themirror which is used should be explicitly defined.Make a shaded model layout with this setup.What is the bending angle of the central ray at the mirror Determine the shape and the approximate x/y-aspect ratio of the illuminated area on the mirror.1/1