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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
250 Abhijit Patil, Rajesh Langoju, and Pramod Rastogi
From Equation (7.23), we observe that the transformation in Equation
(7.23) is rotation. is property plays a signicant role in spectral estima-
tion. Hence, using the same analogy as in Equation (7.23), we can derive
the matrices S
1
and S
2
from the S matrix as
=
=
−×
−−
×
−× −×
−×
−×
mm m
mmm
mf
mf
SI 0S
S0
IS
[],
[]
.
1(1) (1)(1) 1
2(1) 1(1) (1)
(1)
(1)
(7.24)
We can thus represent the matrix S
2
using Equations (7.21) and (7.24) as
Γ= ϒ
SA AD SDS .
22 11
1
1
(7.25)
where
ϒ=ΓΓ
D
1
. It is important to note that because both matrices S and
A in Equation (7.21) have full column rank, the matrix Γ is nonsingular.
e matrices A
1
and A
2
in Equation (7.23) have full column rank (equal
to f) because matr
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Publisher Resources

ISBN: 9781466598317