Abstract

The evolution of ASE noise and the generation of nonlinear phase shift are analyzed based on the travelling wave solution of ASE noise and its probability density function by solving the Fokker-Planck equation including dispersion effect. Nonlinear effect has strong impact on ASE noise. After the transmission in non-zero dispersion shift fibers + dispersion compensation fibers, due to the nonlinear effect, ASE noise is enhanced. Detailedly, the real part of ASE decreases but the image part increases greatly compared to that with dispersion effect only. Nonlinear phase shift, related to the image part of ASE noise, occurs in this kind of link. The impact of signal intensity on ASE noise induces fluctuations to the both curves of ASE noise and nonlinear phase shift as functions of time, respectively. Furthermore, it results in the non-Gaussian distribution of ASE noise probability density function (side-bands occurring) and brings more than 1 dB additive BER.

Highlights

  • The evolution of amplified spontaneous emission (ASE) noise and the generation of nonlinear phase shift are analyzed based on the travelling wave solution of ASE noise and its probability density function by solving the Fokker-Planck equation including dispersion effect

  • Nonlinear phase noise [1], an additive component of amplified spontaneous emission (ASE) noise induced by the interplay between ASE noise and fiber Kerr nonlinearity, has attracted lots of attention [2] [3] [4] [5] [6]

  • It is the dominant impairment of differential phase shift keying (DPSK) signals, which successfully suppress the nonlinear fluctuation between signals [7] [8] [9] [10]

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Summary

Introduction

Nonlinear phase noise [1], an additive component of amplified spontaneous emission (ASE) noise induced by the interplay between ASE noise and fiber Kerr nonlinearity, has attracted lots of attention [2] [3] [4] [5] [6]. The dependence between ASE noise in-phase and quadrature components, and their probability density functions impacted by the transmission, are directly derived. This is the base for the practical system bit-error-rate estimation in which ASE noise is impacted by dispersion effect, nonlinear effect and signal formats.

Theory
Travelling Wave Solution of ASE Noise
Probability Density Function of ASE Noise
Results and Analyses
Conclusion
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