Abstract

In polarization multiplexing systems, signal and noise have different correlation matrices in the presence of polarization dependent loss (PDL). Therefore, the noise will be correlated after the signal equalization process, and the statistical characteristics of the noise correlation matrix is vital for the system capacity evaluation. In this paper, a stochastic differential equation (SDE) for the evolution of the noise correlation matrix after equalization is derived and the statistics of the correlation matrix elements are obtained by the related ordinary differential equations (ODEs). A threshold of the link gain, which equals half of the local PDL vector variance, exists. If the gain is above the threshold, one may ensure the average accumulated noise power not to grow exponentially. Monte Carlo simulations are conducted to verify the proposed theory and an excellent agreement is observed.

Statistics of polarization dependent loss in an installed long-haul WDM system

Lynn E. Nelson, Cristian Antonelli, Antonio Mecozzi, Martin Birk, Peter Magill, Anton Schex, and Lutz Rapp
Opt. Express 19(7) 6790-6796 (2011)

Performance degradation in coherent polarization multiplexed systems as a result of polarization dependent loss

Mark Shtaif
Opt. Express 16(18) 13918-13932 (2008)

Statistical distribution of polarization-dependent loss in systems characterized by the hinge model

Segev Zarkosvky and Mark Shtaif
Opt. Lett. 45(5) 1224-1227 (2020)

Disjoint detection in polarization multiplexed communication systems affected by polarization dependent loss

Anton Andrusier and Mark Shtaif
Opt. Express 17(10) 8173-8184 (2009)

Analytical study on the evolutionary behavior of transfer matrix element moments in strongly coupled multimode systems

Junhe Zhou and Haoqian Pu
Opt. Express 29(9) 13987-14005 (2021)