MIT2_71S09_uquiz1

# MIT2_71S09_uquiz1 - telescope with fnite conjugates For the...

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2.71 Quiz 1 50 min 8:05–8:55am EST 9:05–9:55pm SST

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MASSACHUSETTS INSTITUTE OF TECHNOLOGY 2.71 Optics Spring ’09 QUIZ 1 Wednesday, March 9 th , 2009 α CL EL EP R 15 50 distances shown in mm (not to scale) CL =corrective lens; EL =eye lens; EP =eye pupil; R =retina 1. Eye correction The schematic above is a grossly simplifed model a person’s eye who suﬀers ±rom myopia. The unaccommodated ±ocal length EL is f e = 45mm, whereas the distance ±rom EL to R is longer, as shown. The purpose this problem is to study the corrective action CL ±or objects at infnity. We model both CL and EL as thin lenses. a) (20%) First consider an on–axis object, i.e. α = 0. Calculate CL’s ±ocal length f c such that the combination CL and EL ±ocus properly on R. b) (15%) Locate the 2 nd Principal Plane and the Eﬀective Focal Length the combination CL and EL. c) (15%) Now consider an oﬀ–axis object, i.e. α = 0. Which elevation on R is the image ±ormed at? d) (20%) Does this person’s EP appear smaller or larger than its natural size when viewed through CL by an observer? By how much?
L1 f 1 f 1 f 2 f 2 object plane 1 a 2 a S1 S2 L2 2. Aperture and feld stops in a

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Unformatted text preview: telescope with fnite conjugates For the telescope confguration shown above, where lenses L1 and L2 have ±ocal lengths f 1 , f 2 , respectively, the object plane and two stops S1 and S2 o± hal±–sizes a 1 , a 2 , respectively, are at the locations shown, a) (10%) identi±y the Aperture Stop and the Field Stop, and trace the Chie± Ray and Marginal Ray ±or a sample oﬀ-axis point object o± your choice; b) (10%) locate the Entrance Pupil, Exit Pupil, Entrance Window, and Exit Window; and c) (10%) calculate the Numerical Aperture and Field o± View. GOOD LUCK! MIT OpenCourseWare http://ocw.mit.edu 2.71 / 2.710 Optics Spring 2009 For information about citing these materials or our Terms of Use, visit: http://ocw.mit.edu/terms ....
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MIT2_71S09_uquiz1 - telescope with fnite conjugates For the...

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