502 Homework 2010 Set 8

502 Homework 2010 Set 8 - OPTI-502 Optical Design and...

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OPTI-502 Optical Design and Instrumentation I John E. Greivenkamp Homework Set 8 Fall, 2010 Assigned: 10/19/10 Lecture 17 Due: 10/26/10 Lecture 19 8-1) A perfectly flat Lambertian source radiates a total of 21W into a hemisphere. Its area is 5 cm 2 . Determine its radiance. 8-2) A detector requires a total radiant input of 1 microwatt (10 -6 Watt) in order to produce a useful signal. The square detector is 2 cm x 2 cm. An f/2 lens is used to image a large distant extended object onto the detector. The image of this object overfills the detector. Assume the object is Lambertian and uniform. The detector is integrates all of the light falling on it to produce a single output; it does not produce an image. What is the required radiant exitance (W/m 2 ) of the object? 8-3) Design an optical system to photograph an antelope at 100 m on a sunny day. You will use 35 mm film (24 mm x 36 mm) that requires an exposure of 0.2 lux-s (or lm-sec/m 2 ). The antelope can be modeled to be 1 m x 1 m and your exposure time must be shorter than 0.02 sec. Lay out the optical system, and try to use “commercially” available focal lengths (i.e. round numbers like 50, 100, 200, 1000, 5000. ..); specify the focal length and f/#.
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502 Homework 2010 Set 8 - OPTI-502 Optical Design and...

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