
Using Third-Party Broadband Light Sources
Polarization Mode Dispersion Analyzer 105
Uncertainty Formula
Uncertainty Formula
The following formula can be used to determine the mean uncertainty as a
function of the auto-correlation rms width, , the measured PMD value,
and the number of measurements performed with distinct I/O-SOPs (using
scramblers at the input and output of the DUT),
³ all cases:
Equation 4
³ large PMD:
when
Note: The uncertainty on the mean-PMD is decreased considerably when
performing a sufficient number N of measurements with distinct I/O-SOPs.
For randomly distributed I/O-SOPs, the uncertainty is decreased by a factor
of according to Equation 3 on page 104. However, using an
appropriate, deterministic set of I/O-SOPs covering the Poincaré sphere
with a regularly spaced grid, the improvement factor tends toward
instead, which is much more efficient.
σ
0
σ
PMD
PMD
--------------
1
N
----
1
8
3π
------
–
⎝⎠
⎛⎞
1
1
4
---
PMD
σ
0
-------------
⎝⎠
⎛⎞
2
⋅+
------------------------------------------
⋅=
σ
PMD
PMD
--------------
1
N
----
σ
0
PMD
-------------
⋅
0.55
∼
PMD
σ
0
-------------
1»
1N⁄
1N⁄
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