502 Homework 2010 Set 6

# 502 Homework 2010 Set 6 - OPTI-502 Optical Design and...

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OPTI-502 Optical Design and Instrumentation I John E. Greivenkamp Homework Set 6 Fall, 2010 Assigned: 9/28/10 Lecture 11 Due: 10/05/10 Lecture 13 6-1) A lens assembly is made up of two identical thin lenses separated by 25 mm, and the focal length of each thin lens is 50 mm. Fixed object and image planes are separated by 150 mm. What are the two possible image magnifications that can be obtained with this lens assembly? Use Gaussian methods. 6-2) Earlier, we found that a sphere with an index of 2.0 is needed for light from a distant object to be focused by the front surface of the sphere onto the opposite side of the sphere. Unfortunately an index of 2.0 is difficult to obtain. A solution to obtain this same effect is to split a sphere into two identical hemispheres. What separation between the hemispheres is required to have the light from a distant object focus on the vertex of the second hemisphere? F is to be coincident with V . The radii of the hemispheres are 50 mm, their indices are 1.5, and the hemispheres are in air.

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