Abstract

Using analytic and numerical modelling of fibre transmission systems that employ optical phase conjugation (OPC), we show inter-channel cross-phase modulation depends on the integrated square error between nonlinear profiles before and after OPC and that arranging amplifiers and tuning power levels is crucial to minimizing noise. We derive modulation transparent formulas for phase noise and optimal power settings. Examples are shown for 16 and 64 quadrature amplitude modulation.

Highlights

  • Optical phase conjugation (OPC) is a means to optically reverse detrimental dispersive [1, 2] and nonlinear [3,4,5] effects in fibre optic communications, thereby enabling an increase in network information capacity [6]

  • The mid-span OPC element typically involves a four-wave mixing (FWM) process between a communications signal and a strong frequency offset pump in a nonlinear element [2, 7], which reproduces a phase-conjugated copy of each channel at a frequency that is spectrally inverted about the pump

  • We show that XPM noise is directly proportional to the integrated square error in the asymmetric nonlinear profile

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Summary

Introduction

Optical phase conjugation (OPC) is a means to optically reverse detrimental dispersive [1, 2] and nonlinear [3,4,5] effects in fibre optic communications, thereby enabling an increase in network information capacity [6]. Neither, the exact parameter scaling laws nor the graphical optimization tools provide much analytic investigation of OPC set-ups with non-ideal fibre parameter scaling laws and their effect on nonlinear phase noise. In a simplified analytic model of the channel propagation [21,22,23] which is not perturbative in nonlinearity, we employ statistical analysis to derive the XPM noise variance. We believe that our analysis is the first analytic investigation to explicitly examine inter-channel XPM effects in OPC signal quality improvements have been shown in numerical simulations [24].

Phase noise model
XPM noise for SMF plus DCF
XPM noise with OPC: case 1
XPM noise with OPC: case 2
Findings
Conclusion

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