502 Homework 2010 Set 3

# 502 Homework 2010 Set 3 - OPTI-502 Optical Design and...

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OPTI-502 Optical Design and Instrumentation I John E. Greivenkamp Homework Set 3 Fall, 2010 Midterm Exam: Tuesday October 19 (Lecture 17) Assigned: 9/7/10 Lecture 5 Due: 9/14/10 Lecture 7 3-1) A 50 mm focal length thin lens in air is used to image a 250 x 250 mm object onto a 10 x 10 mm detector. What is the overall object-to-image distance? Do both the exact solution as well as by reasonable approximation. 3-2) For a thin lens in air, derive an expression for the overall object-to-image distance D as a function of the focal length and the magnification. a) Plot D vs. m for a positive thin lens. b) Plot D vs. m for a negative thin lens. c) Note that for a given object-to-image distance D, there are two possible values of magnification. Determine these two values of m in terms of D and f. Show that these two magnifications are reciprocals, i.e. m 1 = 1/m 2 . d) For a positive lens with f = 100 mm, sketch the two scenarios for D = 600 mm. 3-3) You have a 100 mm focal length thin lens. For each given object position determine the image position and the image magnification.

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502 Homework 2010 Set 3 - OPTI-502 Optical Design and...

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