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Unformatted text preview: MIDTERM 1 Course# ECE 716 NameEJjLw
Quarter Autumn 2006 This exam is being administered under the Electrical Engineering Honor
Code. You may use and your calculator. If you are lacking a physical
constant you may ask for it. If there is an equation you already know exists, you
can ask for that too as long as you describe it well enough so I know you're not
fishing. If you don't get an answer, but need it to complete the next problem, then
write down that you didn't get the result, that you're assuming (choose a
reasonable value), and proceed. Make sure you make this clear, however. Show all your work. Answers without reasoning will not get points. If
you get a ridiculous answer, write down that you recognize it's ridiculous and
speculate as to why (if you don't have time to find your mistake). If part (b) relies
on having part (a) correct, and you couldn't do (a), then write down "assume the
answer to "a" is ...', and continue. There are ____total points on this exam; all questions are not weighted
evenly. You have __ hours to finish the exam. \ / ,/ 1. Below 1s a two lens imaging system consisting of thin lenses L1 and L2. Using the appropriate rays, locate the final and any intermediate images. Label the rays and for each 1mage, indicate whether it is real or virtual. i ”i ‘W‘allz’
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lz  1 L \ . . _ . \\\ a) What type Of Wave 15 It? Explam your reasoning. m (3me S‘( CV( ”' ,3 “(5% L '034 9") 7t. (L (.‘FVCVIW( “/{NXL‘ x( 7/ 01” I‘ll“ {/Z’K ’\ (CL/wk ( ct/«f/m Hm“)
‘ l b) bWhat is the refractive index n of the medium in which the wave is \X
Propagating? Show your work _/ IJU M’t 1w» r 5‘4th (1/5] I’L/m ‘5 E:6‘O€ )icto 1x22): 2» 2:}:
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Ki 9: @153“ or alto/WA (L7 b) Assume the amplitude of the diffracted beam of interest is El Write a complete
(as complete as possible) expression for the wave diffracted into the negative first order (112—1, where n is the diffraction order, not the refractive index).
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, ~ W a: .m‘k 4. Consider the optical system shown below. object plane  image plane
< a) The d’s are distances, and the j’s are the focal lengths of the lenses. Please write
out (but do not multiply out) the necessary matrices in the correct order to represent this optical system. You may assume all the refractive indices between
the lenses are the same, and all the lenses are thin. ,ggm 0 :3. ,0 i:
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and multiplied out to obtain the resulting matrix: (—0.86)[1——%5—)—§(715— 2(1—3—:§][d+25[1—§%—)] —0.005 —1— d+50[1——d—) +{1—ii—j
375 375 375 3/ i) What must [1 be to obtain imaging? Indicate your reasoning. 7: M ”:0 (l'ﬁXie 270756;»: 0 girl“ ( 3% o 0/ at 2<(l pg) ~ 0 (31‘ ,7)" cl +23 ‘r ’ L La?“ “14“"
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l page 4 of 5 4. (continued) SN ii) For the solution(s) you obtained for d , what is (are) the corresponding
magnification(s)? Indicate how you know. ’  .‘u “17,; m 1
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{9) 5. In a spherical wave, what physical parameterﬁof the wave has a spherical surface of constant value? (e.g., amplitude, phase, polarization...) Do
not say “electric field.” T ‘19 014,17}! ( "V 591 \ J C (“u S {Taxi CK «a, S 0 0 K h? S (71%“ "C I 4 / Z» E 9/ «z» of [a hank 3 at PLEDGE: No aid received, given, or observed. 3;} c g {‘5 l O A/ 3 page 5 of 5 ...
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 Fall '10
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