PS14_2005

PS14_2005 - OPTI 201 R Fall 2005 Problem Set XIV Solutions...

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OPTI 201 R Fall 2005 Problem Set XIV Solutions XIV.1 First, find which image, y, occupies the greater portion of its respective pupil. By inspection, it will be either the first, third, or last one. 0644 . 0 7 4508 . 0 6 14 . 0 9 260 . 1 3 375 . 0 8 3 1 = = = The first pupil is the stop. The resulting scale factor is: 8/2 1.33 3 = a) The correctly scaled values for the marginal ray are in the following table, in bold italics: y 3 2.744 1.26 0.9087 0.7545 0.4508 y 4 3.6587 1.68 1.211 1.006 0.601 nu 0 -0.1297 -0.24739 -0.19298 -0.1537 -0.1537 -0.163 nu 0 -0.1729 -0.3298 -0.257 -0.2049 -0.2049 -0.2173 b) An FFOV of 20° corresponds to an HFOV of 10° which would be the new ubar. The scale factor is: 745 . 1 1 . 0 180 10 = ° π The correctly scaled values for the new FOV are in the following table, in bold italics: y 0 0.1978 0.9719 1.1370 1.4650 1.8400 y 0 0.3452 1.6963 1.9844 2.5569 3.2114 nu 0.1 0.0910 0.1237 0.1657 0.1657 0.1354 nu 0.1745 0.1588 0.2159 0.2892 0.2892 0.2363 c) For no vignetting the following condition must be true:

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y y 2 CA + The following table has y values for the chief and marginal rays in a system scaled to a FFOV of 20°. The vignetting condition is calculated as well.
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This note was uploaded on 09/01/2010 for the course OPTICS 201 taught by Professor Dereniak during the Spring '05 term at UConn.

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PS14_2005 - OPTI 201 R Fall 2005 Problem Set XIV Solutions...

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