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502 F09 Final - Solutions

# 502 F09 Final - Solutions - I OPTI-502 Final E xam I n C...

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OPTI-502 Optical Design and Instrumentation I John E. Greivenkamp Final Exam - In Class Page lll4 Fall, 2009 Name \ oLvtt.",,g Closed book; closed notes. The time limit is 2 hours. Equation sheets are attached and can be removed. Spare raytrace forms are also attached. Use the back sides ifrequired. Do not use any pre-stored information or prograrns in your calculator. Assume thin lenses in air if not specified. If a method of solution is specified in the problen¡ it must be used. You must show your work and/or method of solution in order to receive credit or partial credit for your answer. Distance Students: Please return the original exam only; do not scan/FA)lemail an additional copy. 1) (10 points) Use two thin lenses in air to design a teþhoto objective with a focal length of 400 mm and a back focal distance of 200 mm. The separation of the two lenses must be 75 mm. {' voO ¡r*e-- / = cS.ôo¿S/n^ t o l S - . - ß Fo = 2cst) ,¡^ ß É O = Ç + & ' z ç + J . ' à' , -2Òô *+u.- J ê , ? S , - z o ò / ' = - 7 * = . o o ¿ s /t 2 .ôObba1 /,.r* f,, i /.So Ylt 'Á\ d ' 4 , + 4 ¿ ' 4 , ' l - * .ooè'f. .ooGoGT + r/. (, -. f,ooo) 4 r - - . o o t 3 3 3 / , u ^ ç. = -'Lõ ",.,.' f] : /Sô Ítm Ð: -l flm

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OPTI-502 Optical Design and Instrumentation I John E. Greivenkamp Final Exam - In Class Page2/14 Fall, 2009 2) (25 points) The following diagram shows the design of a reverse teþhoto objective that is comprised of two thin lenses in air. The system stop is locatedbetween the two lenses. The diameter ofthe stop is 10 mm. The object is at infinity. The maximum image size is +/- 20 mn Íz=25 mm 10mm 10mm Determine the fo llowing : - Entrance pupil and exit pupil locations and sizes. - Systemfocal length. - Angular field of view (in object space). - Require.d diameters for the two lenses for the system to be unvignetted over the specified maximum image size. NOTE: This problem is to be worked using raytrace methods only. GaussÍan imaging methods may not be used for any portion of this problem. Be sure to clearly label your rays on the raytrace forrn Your answers must be entered below. Be sure to provide details on the pages that follow to indicate your method of solution (how did you get your answer: which ray was used, analysis of ray data" etc.) Entrance Pupil: &. o mm to the l{ Exit Pupil: lG,t.,bl mmto the L ofthe second lens. System Focal Length: 2 g'-ç'? Íxn Dxp: lto.66 fitm Stop Dia = 10 mm lmage Plane (+/- 20 mm) FOV : +/- 35 -o deg Lens 1 Diameter: I q,2- Ítm of the first lens. Dep : 8.Ò Lens 2 Diameter: 2t, L mm
oPTr-502 Final Exam - In Class Optical Design and Instrumentation I Page3l14 John E. Greivenkamp FalL 2009 ç ' Îa -¿.

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