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Autocorrelation function for polarization mode dispersion emulators with rotators.

Brian S Marks, Ivan T Lima, Curtis R Menyuk

|November 21, 2007

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We derived a recursion relation for polarization mode dispersion emulators. A nonzero background exists in the autocorrelation function, which slowly diminishes with more sections but is not removed by randomizing section lengths.

Area of Science:

Optical Fiber Communications
Polarization Mode Dispersion (PMD)

Background:

Polarization mode dispersion (PMD) is a critical impairment in high-speed optical networks.
Understanding the statistical properties of PMD is essential for designing robust communication systems.

Purpose of the Study:

To derive a recursion relation for the frequency autocorrelation function of the polarization dispersion vector.
To analyze the impact of rotators and section randomization on PMD emulators.

Main Methods:

Derivation of a recursion relation for the autocorrelation function.
Analysis of emulators with fixed and randomized section lengths.

Main Results:

The autocorrelation function exhibits a nonzero background for emulators with a fixed number of sections.

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This background diminishes slowly as the number of sections increases.

Randomizing section lengths eliminates periodicity but not the finite background.

Conclusions:

The derived recursion relation provides insights into PMD emulator behavior.
Finite backgrounds in autocorrelation functions are inherent to emulators, even with randomization.
Further research may explore methods to mitigate this background.