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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
COHERENCE 317
Using the same denitions and subscripts in the time domain as we did in the frequency
domain, the autocorrelation falls to half at t
1/2
dened by
γ
(
τ
)
= e
(
t
1/2
/t
1/e
)
2
= 1/2 (10.35)
t
1/2
=
ln 2t
1/e
. (10.36)
Using Equations 10.32 and 10.34,
t
1/2
=
ln 2
2
2
ω
1/e
= ln 2
2
2
2πf
1/2
0.31
f
1/2
=
0.62
f
FWHM
. (10.37)
If the path lengths differ by
z
1/2
= ct
1/2
, (10.38)
γ
t
1/2
= e
t
1/2
t
1/e
=
1
2
by Equation 10.34 and the fringe visibility will drop by a factor of two. To evaluate the results
numerically, it is convenient to express this distance in wavelengths.
z
1/2
λ
= ft
1/2
= ln 2 ×
2
2
π
f
f
FWHM
0.62
f
f
FWHM
, (10.39)
We dene z
1/2
as the coherence length of the source, and ...
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Publisher Resources

ISBN: 9781439807255