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Phase Estimation in Optical Interferometry
book

Phase Estimation in Optical Interferometry

by Pramod Rastogi, Erwin Hack
November 2014
Intermediate to advanced content levelIntermediate to advanced
366 pages
11h 5m
English
CRC Press
Content preview from Phase Estimation in Optical Interferometry
308 Erwin Hack
object vibrations that induce jitter in the phase value itself. From Equation
(9.15), the signal uncertainty caused by phase step (or object phase) jitter
is obtained according to
β= φ+
ββ
Γ
(,)sin ()
()
.
22
22
uS
Su
kk kk
(9.28)
Note that the uncertainty is proportional to the signal modulation
Γ
S
and depends on the phase angle ϕ, even if we assume that the phase step
jitter itself is independent of k and uncorrelated, that is, β= β()
()
22
uu
k
.
Inserting the expression into Equation (9.20) yields
φβ =
β
φ(,)
()
2
(3 cos(
4)
)
2
2
4
u
u
N
NN
(9.29)
so that u
N
drops again with
N
. It is independent of the signal modula-
tion
Γ
S
but varies with the phase ...
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Publisher Resources

ISBN: 9781466598317