502 Homework 2010 Set 11

502 Homework 2010 Set 11 - OPTI-502 Optical Design and...

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OPTI-502 Optical Design and Instrumentation I John E. Greivenkamp Homework Set 11 Fall, 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)? f 2 -f 1 t f 1 f 2 F 1 F' 2 u u'
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OPTI-502 Optical Design and Instrumentation I John E. Greivenkamp Homework Set 11 Fall, 2010 11-3) Design a 200X optical microscope with a 20X objective and a 10X eyepiece. The optical tube length is 200 mm. The optical tube length is the distance from the rear focal point of the objective to the front focal point of the eyepiece or the intermediate image plane. Assume a simple eyepiece. a) Provide the focal lengths and spacings of the two lenses.
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This note was uploaded on 12/17/2010 for the course OPTI 502 taught by Professor Greivenkamp during the Fall '08 term at University of Arizona- Tucson.

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502 Homework 2010 Set 11 - OPTI-502 Optical Design and...

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