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Optics for Engineers
book

Optics for Engineers

by Charles A. DiMarzio
August 2011
Intermediate to advanced content levelIntermediate to advanced
564 pages
20h 45m
English
CRC Press
Content preview from Optics for Engineers
126 OPTICS FOR ENGINEERS
The derivative is easy because the equation is quadratic in q, and the result is
q
opt
=−
2
n
2
1
p
n +2
, (5.45)
leading to
x
(
x
1
)
=
x
3
1
s
(
0
)
8f
3
np
2
n +2
+
n
n 1

. (5.46)
Now we can see in Equation 5.42 that lenses of different shapes will have different aber-
rations, and with the optimal q from Equation 5.45, we can use Equations 5.40 as the second
constraint on our designs.
The optimal lens shape given by Equation 5.45 does not depend on x
1
, so the best choice of
surface curvatures is independent of the aperture. However, the amount of aberration depends
strongly on the aperture. Writing Equation 5.46, in terms of the f -number,
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Publisher Resources

ISBN: 9781439807255