OPTI-502 Optical Design and Instrumentation I John E. Greivenkamp Final Exam In Class Page 1/16 Fall, 2016

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1 OPTI-502 Optical Design and Instrmentation I John E. Greivenkamp Final Exam In Class Page 1/16 Fall, 2016 Name Closed book; closed notes. Time limit: 120 mintes. An eqation sheet is attached and can be removed. A spare ratrace sheet is also attached. Use the back sides i reqired. Assme thin lenses in air i not speciied. As sal, onl the magnitde o a magniication or magniing power ma be given. I a method o soltion is speciied in the problem, that method mst be sed. Ratraces mst be done on the ratrace orm. Be sre to indicate the initial conditions or or ras. Yo mst show or work and/or method o soltion in order to receive credit or partial credit or or answer. Provide or answers in a neat and orderl ashion. Onl a basic scientiic calclator ma be sed. This calclator mst not have programming or graphing capabilities. An acceptable example is the TI-30 calclator. Each stdent is responsible or obtaining their own calclator. Note: On some qantities, onl the magnitde o the qantit is provided. The proper sign convention mst be applied. Distance Stdents: Please retrn the original exam onl; do not scan/fax/ an additional cop. Yor proctor shold keep a cop o the completed exam. 1) (5 points) A 100 mm ocal length thin lens (in air) in made ot o glass N-LaSF46A. The glass code or this glass is What is the longitdinal chromatic aberration o this lens? Longitdinal Chromatic Aberration = = mm

2 OPTI-502 Optical Design and Instrmentation I John E. Greivenkamp Final Exam In Class Page 2/16 Fall, ) (10 points) Yo are riding in the passenger seat o a car traveling at 50 km/hor. Yo look ot the passenger window and notice that objects close to the road appear to be moving aster than more distant objects. In act, the montains in the distance appear to be stationar. As an experiment, o take a pictre ot the open passenger window. The optical axis o the camera is perpendiclar to the direction o motion o the car. A slow /# is sed, so depth o ield is not an isse, and an recorded image blr will be de onl to the motion o the car. Yo se a shtter speed o 0.01 sec. The ocal length o the camera lens is 50 mm, and the pixel size on the detector is 10 m. At what distance rom the car will the motion blr eqal the pixel size? Use and note reasonable assmptions. Distance = m

3 OPTI-502 Optical Design and Instrmentation I John E. Greivenkamp Final Exam In Class Page 3/16 Fall, ) (15 points) A 10 mm diameter stop is located to the right o an optical sstem comprised o two thin lenses in air as shown: 1 = -75 mm 2 = 25 mm Stop D STOP = 10 mm 10 mm 10 mm Determine the entrance ppil location and diameter. The entrance ppil is to be located relative to the irst lens. NOTE: Use Gassian Redction and Gassian Imaging or this problem. Cascaded imaging ma not be sed (o ma not image throgh one lens and then se this image as an object or the other lens).. Contines

4 OPTI-502 Optical Design and Instrmentation I John E. Greivenkamp Final Exam In Class Page 4/16 Fall, 2016 EP: D EP = mm; Located mm to the o the irst lens.

5 OPTI-502 Optical Design and Instrmentation I John E. Greivenkamp Final Exam In Class Page 5/16 Fall, ) (25 points) The ollowing diagram shows the design o an objective that is comprised o two thin lenses in air. The sstem stop is located between the two lenses. The sstem operates at /4. The object is at ininit. The maximm image size is +/- 25 mm. 1 = 200 mm Stop Dia =???? 2 = 160 mm Image Plane (+/- 25 mm) 20 mm 20 mm Determine the ollowing: - Entrance ppil and exit ppil locations and sizes. - Sstem ocal length and back ocal distance. - Stop diameter. - Anglar ield o view (in object space). - Reqired diameters or the two lenses or the sstem to be nvignetted over the speciied maximm image size. NOTE: This problem is to be worked sing ratrace methods onl. Gassian imaging methods ma not be sed or an portion o this problem. The ield o view mst be determined rom the chie ra. Be sre to clearl label or ras on the ratrace orm. Yor answers mst be entered below. Be sre to provide details on the pages that ollow to indicate or method o soltion (how did o get or answer: which ra was sed, analsis o ra data, etc.). Entrance Ppil: mm to the o the irst lens. Exit Ppil: mm to the o the second lens. D EP = mm D XP = mm Sstem Focal Length = mm Stop Diameter = mm Lens 1 Diameter = mm Back Focal Distance = mm FOV = +/- deg in object space Lens 2 Diameter = mm

6 OPTI-502 Optical Design and Instrmentation I John E. Greivenkamp Final Exam In Class Page 6/16 Fall, 2016 Srace t Contines

7 OPTI-502 Optical Design and Instrmentation I John E. Greivenkamp Final Exam In Class Page 7/16 Fall, 2016 Provide Method o Soltion: Contines

8 OPTI-502 Optical Design and Instrmentation I John E. Greivenkamp Final Exam In Class Page 8/16 Fall, 2016 Provide Method o Soltion:

9 OPTI-502 Optical Design and Instrmentation I John E. Greivenkamp Final Exam In Class Page 9/16 Fall, ) (10 points) Consider the ollowing optical sstem comprised o ive identical thin lenses o ocal length that are each separated b this same distance. An object is located at the ront ocal point o the irst lens element. Determine the image location and size b sketching ras. Please se a straightedge. No calclations are reqired or permitted.

10 OPTI-502 Optical Design and Instrmentation I John E. Greivenkamp Final Exam In Class Page 10/16 Fall, ) (10 points) Using onl 50 mm ocal length thin lenses, provide the laot o a dobletelecentric sstem with a lateral magniication o Yo mst se or o these thin lenses in or design. Provide a sketch o the sstem clearl indicating the spacings o the lenses and the location o the sstem stop. Note: The sstem magniication mst be POSITIVE. The lens diameters are not reqired.

11 OPTI-502 Optical Design and Instrmentation I John E. Greivenkamp Final Exam In Class Page 11/16 Fall, ) (10 points) Design a thin-lens Petzval objective with the ollowing speciications: Separation o the two elements = 50 mm Focal length = 100 mm Back ocal distance = 75 mm 1 = mm 2 = mm

12 OPTI-502 Optical Design and Instrmentation I John E. Greivenkamp Final Exam In Class Page 12/16 Fall, ) (15 points) A relaed Keplarian telescope is constrcted with three thin lenses in air as shown. The objective lens serves as the sstem stop. The stop diameter is 25 mm. Objective OBJ = 125 mm Rela Lens R = 50 mm Ee Lens EYE = 25 mm z t 1 = 275 mm t 2 Determine: The Magniing Power o the telescope. The Magniication o the rela m R. The separation between the Rela Lens and the Ee Lens. The Ee Relie ER (or the location o the Exit Ppil) o the telescope. The diameter o the Exit Ppil. Provide a clear explanantion o or method o soltion. Note: The soltion o this problem does not reqire the se o ratrace. However, a ratrace sheet is provided shold o choose to se ratrace. Contines

13 OPTI-502 Optical Design and Instrmentation I John E. Greivenkamp Final Exam In Class Page 13/16 Fall, 2016 MP = m R = t 2 = mm ER = mm D XP = mm

14 OPTI-502 Optical Design and Instrmentation I John E. Greivenkamp Final Exam In Class Page 14/16 Fall, 2016 Srace t

15 OPTI-502 Optical Design and Instrmentation I John E. Greivenkamp Final Exam In Class Page 15/16 Fall, 2016 Spare Ratrace Sheet: Srace t

16 OPTI-502 Optical Design and Instrmentation I John E. Greivenkamp Final Exam In Class Page 16/16 Fall, 2016 Spare Ratrace Sheet: Srace t

17 OPTI-502 Eqation Sheet OPL nl n sin n sin n1 dt t n t n n d n 1 d n 2 BFD d R FFD d F (n n)c n n z z 1 R n n F E z/n m z/n m n m m n m N F2 2 R1 1 n n 2 z/n mm z/n PN PN F 1 2 R n n k 1 t /# E NA n sin U n DEP 1 1 /# W 1 m/# 2NA 2n I HЖ n n tan( 1/2) 10in 250mm MP MP 1 m MP mrmpk mv mobjmpeye

18 M E L A LA 2 d LO E 2 4( /# ) W Exposre H E T a Un a and a Hal a and a Fll DOF B /# W L H D LH L B NEAR 2 n1 P n d n d2 P P sin MIN / 2 n sin / 2 1 n S C sin n R D2.44 /# D /# in m 2 Sag 2R nd 1 n n n F n C d C P n F n C 1 TA CH rp dc Cd P

OPTI-502 Optical Design and Instrumentation I John E. Greivenkamp Final Exam In Class Page 1/16 Fall, 2015

OPTI-502 Optical Design and Instrmentation I John E. Greivenkamp Final Exam In Class Page 1/16 Fall, 2015 Name Closed book; closed notes. Time limit: 120 mintes. An eqation sheet is attached and can be