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OPTI502
Optical Design and Instrumentation I
John E. Greivenkamp
Homework Set 3
Fall, 2010
Midterm Exam:
Tuesday October 19
(Lecture 17)
Assigned:
9/7/10
Lecture 5
Due:
9/14/10
Lecture 7
31) A 50 mm focal length thin lens in air is used to image a 250 x 250 mm object onto a 10 x 10
mm detector.
What is the overall objecttoimage distance?
Do both the exact solution as well
as by reasonable approximation.
32) For a thin lens in air, derive an expression for the overall objecttoimage distance D as a
function of the focal length and the magnification.
a)
Plot D vs. m for a positive thin lens.
b)
Plot D vs. m for a negative thin lens.
c)
Note that for a given objecttoimage distance D, there are two possible values of
magnification.
Determine these two values of m in terms of D and f.
Show that these
two magnifications are reciprocals, i.e. m
1
= 1/m
2
.
d)
For a positive lens with f = 100 mm, sketch the two scenarios for D = 600 mm.
33) You have a 100 mm focal length thin lens.
For each given object position determine the
image position and the image magnification.
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 Spring '10
 ibrahim
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