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Unformatted text preview: ENSC 460/894 Assignment 2: (Feb 9 due Feb. 16 2006) 1 For a ND1Yag laser calculate the ratio of the spontaneous radiation coefﬁcient to the stimulated coefﬁcient
(Nd:YAG wavelength is 1064 mm). (5 marks) f “ 1545mm" 2:
z A cow » / j
r r _ A21 " Bz/JM/WQ! 2 A bi—concave lens of f = 30 mm is mounted 110 mm in front of a plan— convex lens of radius 60 m, n = 1.5 and _
is looking at a 3 mm integrated circuit located 30 mm in front of the device. Using the both the combined lens
formulas and matrix methods give the position and magniﬁcation of the resulting image. Draw a sketch with those _
locations. What is the focal length of the equivalent lens and where is it located? (10 marks) E460!894 assignment 2 200532 Lens Matrix Lens 2 4.668667! 11 f2
1 0 4.666667 0.055556 0.083333 0.083333 0.333333. 0.333333; second focal length second focal point Image System Ma 4.66666? 11 0055556 0083333 Object size image distance_ Magnification Object size 1 3 A Huygens eyepiece (occular) is a combination of two positive thin lenses of the same glass. If the lenses are
—_ separated by half the sum of their focal lengths then chromatic aberration is eliminated. Assume two thin lenses of ‘. _ 3 f=2.1 cm (ﬁeld lens  furthest from the eye) and 1.5 cm (eye lens — closest to the user). Use both matrix methods and combined lens formula to solve this question. (a) What is the combined focal length of the eyepiece (3 marks) (b) What is the eyepiece magniﬁcation (2 marks) (c) Assume the stated f is for the c line (red colour) of a dense ﬂint (BF2 in the chart). What would be the change in the f‘s of the two lenses and the eyepiece for the g line (violet) (5 marks). __.l._ __ _ _ .l.__ , : a.
"InnEg
i— 54601894 Assigment 2 2006 Q3 Matrix Solution Distances in cm _ (a) '
Lens Matrix Lens 2 Mam: 1 Space 1 Lens 1 _
12 1.5 d 1 8 f1 2.1
 ' 0.14285? 1.8 1 0 0
{1.571429 0.2 0.666667 1 1
_ second focal length 1IC 1.75
second focal point A!C 0.25 I
nc 1.61316 fchange 0.959217  ng 1.63923 Lens Matrix Lens 2 Matrx 1 Space 1 Lens 1
12 1.438825 d 1.8 f1 2.014355
0.106414 1.8 1 0
0.570396 0.251021 «0.695012 1 second focal length .110. 1.753169 second focal oint A!C 0.186561 p !
Change fcffg 0.18% FL.   r l (632.5 nm), with a beam radius of 0.5 mm design a beam expander
11 lens of f = 60 cm. Do both Galilean and Keplerian expander and
red and the length of the system. What is the Rayleigh range before to expand the beam radius to 5 mm using a mai
draw the design. State what f input lens is requi
and after the beam expander. (5 marks each) —1___i{e/Vetmmaaw 6 924% __ :— .. n W: W ._ a _
: n .13 _ ti 7C)? 1W. ..— 60 0:5): 6% Hr— Egg/"4 7—”; rﬁ+ﬂ 6760566 —% I 75+? ~ '56? 60:5er 5. US Homeland security is worried that pilots may be blinded by people point laser points at distant ailplanes. The
.. most powerful laser pointer on the market is the BigHa pointer which has a 5 mW beam at 533 nm with w=1 mm. (a)What is the Rayleigh Range of the pointer?
(b) What is distance where the beam average power density has reduced to 0.5111Wfr1'31m2 .
(c) If an airplane is 1 km from the pointer, what is the spotsize at the plane, its average power density and peak power density? _ _.__ 4. . ...
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 Spring '10
 Chapmann
 Lens Matrix Lens

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