2012-07-24Tutorial Zemax 2 Properties of systems2Properties of systems7Exercise 2-1:System layout with ideal lenses.................2.2Exercise 2-2:Conic surface........2.32Properties of systems2.1Exercise 2-1:System layout with ideal lensesA collimated laser beam with wavelength 1.064 jm and diameter D=2 mm should be expanded by aKepler-type afocal telescope with a factor of 5.The enlarged beam is then focussed down by a cylindricallens with focal length f=100 mm to get a line focus.a)Setup the system described above by ideal lensesb)Show the line focus graphically2.2Exercise 2-2:Conic surfaceA system with an ellipsoidal mirror should be installed.For this task,the following steps should beperformed:a)A source with wavelength =1.064 um and numerical aperture is imaged by a spherical mirror in a 1:1setup 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 optimizedfor this geometryc)The coordinate system is rotated by 60directly after the object.For a proper layout,the subaperture ofthe mirror 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 approximatex/y-aspect ratio of the illuminated area on the mirror.2.3Exercise 2-3:Grating spectrometerA linear grating with a line density of 0.3 Lp/pm is illuminated by a collimated beam with a spectral broadwavelength between 400 nm and 700 nm.The grating is blazed and is used in the +1st order.The spectrumis observed in a sensor plane,which is obtained after a symmetrical bi-convex lens with focal length f=100mm,a thickness of10 mm and SF6 as material in a telecentric arrangement.a)Set the system in Zemaxb)What is the spreading of the spectrum in the sensor plane