Abstract

An improved split-step method (SSM) for digital backward propagation (DBP) applicable to wavelength-division multiplexed (WDM) transmission with polarization-division multiplexing (PDM) is presented. A coupled system of nonlinear partial differential equations, derived from the Manakov equations, is used for DBP. The above system enables the implementation of DBP on a channel-by-channel basis, where only the effect of phase-mismatched four-wave mixing (FWM) is neglected. A novel formulation of the SSM for PDM-WDM systems is presented where new terms are included in the nonlinear step to account for inter-polarization mixing effects. In addition, the effect of inter-channel walk-off is included. This substantially reduces the computational load compared to the conventional SSM.

Highlights

  • There has been and continues to be much research on high data-rate and spectrally-efficient fiber communication systems

  • Higher spectral efficiency demands tightly spaced wavelength-division multiplexed (WDM) channels to optimize the operational bandwidth of optical amplifiers

  • We propose a quasi-analytical solution for the computation of the non-conservative contribution

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Summary

Introduction

There has been and continues to be much research on high data-rate and spectrally-efficient fiber communication systems. DBP is based first, on the coherent detection of the optical signal [2] and second, on the implementation of backward propagation in the digital domain This implementation consists on solving the z-reversed propagation equations that describe nonlinear transmission in fibers. In contrast to the scalar case, the coupled system of equations for PDM includes non-conservative terms in the form of phase-matched interaction between the modulated polarization tributaries. When such nonconservative terms are consider in DBP, a new solution (with no counterpart in the singlepolarization case) has to be obtained for the nonlinear step of the SSM. From a performance point of view, the impact of the PDM phase-matched non-conservative terms is analyzed, for the first time to our knowledge, in the context of digital backward propagation

Digital backward propagation for PDM-WDM systems
Simulation results and discussion
Conclusion

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