OPTI-502 Optical Design and Instrumentation IJohn E. Greivenkamp Homework Set 11Fall, 2010 Assigned: 11/9/10 Lecture 23 Due: 11/16/10 Lecture 24 11-1) Consider the following optical system comprised of two thin lenses in air: The object is placed at the front focal point of the first lens and is imaged to the rear focal point of the second lens. a) Use the marginal ray angles u and u' to determine the magnification. b) What is the focal length or power of the system. c) You should have found that the magnification of the system at these conjugates is independent of the lens separation t, but the focal length is a function of the separation t. Explain this result in terms of the Gaussian object and image distances z and z'. 11-2) A 5x Keplerian telescope has a 200 mm focal length objective. The objective lens serves as the system stop and has a diameter of 40 mm. a)What is the required eye lens diameter for the telescope to have an unvignetted field of view of +/- 2 degrees? b)Convert the telescope into a doubly telecentric system. Where is the stop location? c)Two objects are located 400 mm and 100 mm to the left of the objective lens. Where are the respective image planes (relative to the second lens)? f2 -f1 tf1 f2 F1 F'2 uu'
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