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502 Homework 2010 Set 4

# 502 Homework 2010 Set 4 - OPTI-502 Optical Design and...

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OPTI-502 Optical Design and Instrumentation I John E. Greivenkamp Homework Set 4 Fall, 2010 Assigned: 9/14/10 Lecture 7 Due: 9/21/10 Lecture 9 4-1) A 50 mm cube is to be imaged by three optical systems: a) The center of the cube is positioned 500 mm from the front principal plane of an optical system with F f = -200 mm and R f = 300 mm. b) The center of the cube is positioned 500 mm from the front principal plane of an optical system with F f = 300 mm and R f = -200 mm. c) The cube is imaged with an afocal system having m = 1/2. Assume k 1 k 2 = 1. In each case, what are the dimensions of the image of the cube? For parts a and b, also determine the location of the cube image. You may assume that the cube is a wire grid so that obscuration, index and transparency are not issues. 4-2) The left end of a long plastic rod (n = 1.530) is formed into a convex spherical radius of 2.650 cm. This forms a single refracting surface. An object 2.5 cm high is located in air and on the axis a distance 16 cm to the left of the vertex. a) Determine the Gaussian properties of the surface (

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502 Homework 2010 Set 4 - OPTI-502 Optical Design and...

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