Abstract

It is proposed and demonstrated that two fiber spans in a scaled translational symmetry could cancel out their intra-channel nonlinear effects to a large extent without using optical phase conjugation. Significant reduction of intra-channel nonlinear effects may be achieved in a long-distance transmission line consisting of multiple pairs of translationally symmetric spans. The results have been derived analytically from the nonlinear Schrödinger equation and verified by numerical simulations using commercial software.

Highlights

  • Group-velocity dispersion and optical nonlinearity are the major limiting factors in high-speed long-distance fiber-optic transmissions [1, 2]

  • Optical phase conjugation (OPC) in the middle of a transmission line may compensate the nonlinear effects between fibers on the two sides of the phase conjugator [6], especially when the two sides are configured into a mirror [7, 8, 9] or translational [9, 10, 11] symmetry in a scaled sense, the benefit of OPC may still be appreciable in the absence of such scaled symmetry [12]

  • We shall demonstrate here that two fiber spans in a scaled translational symmetry [9, 11] could cancel out their intra-channel nonlinear effects to a large extent without resorting to OPC, and a significant reduction of intrachannel nonlinear effects may be achieved in a multi-span system with scaled translationally symmetric spans suitably arranged

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Summary

Introduction

Group-velocity dispersion and optical nonlinearity are the major limiting factors in high-speed long-distance fiber-optic transmissions [1, 2]. It proves more difficult to compensate the nonlinear effects of optical fibers because of the lack of materials with negative nonlinearity and high group-velocity dispersion simultaneously [5]. A method has been identified for suppressing the intra-channel nonlinearity-induced jitters in pulse amplitude and timing, using Raman-pumped transmission lines manifesting a lossless or mirror-symmetric map of signal power [16, 22]. The significant deviation of signal power profile from a desired mirror-symmetric map degrades the result of intra-channel nonlinear compensation using mirror symmetry [23]. The results shall be derived analytically from the nonlinear Schrodinger equation and verified by numerical simulations using commercial software

Basics of nonlinear wave propagation in fibers
Optimal setups of fiber-optic transmission lines
Simulation results and discussions
Conclusion
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