Simple Fiber Model for Determination of XPM Effects

Previous investigations have revealed that the impairments of the cross-phase modulation (XPM) in dense wavelength-division multiplexing (DWDM) systems include two aspects: the XPM-induced phase noise and the XPM-induced polarization scattering. Such XPM phenomena are strongly dependent on the transmission system configurations and are nonintuitive. In this paper, a simple fiber model is proposed to facilitate the determination of XPM effects. By employing this model, the phase noise and polarization scattering are calculated based on the system configurations and the time-consuming computation by the split step Fourier method is avoided. The proposed model is verified by the dual polarization quadrature phase-shift keying coherent DWDM experiments and simulations in terms of the variance and autocorrelations of phase noise and polarization crosstalk as well as their dependence on relative polarization states and the overall Q-impairment. The proposed model helps deeper analysis of XPM phenomena, and eventually, leads to development of various XPM mitigation methods through transmission system design and coherent receiver DSP.

[1]  S. Chandrasekhar,et al.  Impact of Channel Plan and Dispersion Map on Hybrid DWDM Transmission of 42.7-Gb/s DQPSK and 10.7-Gb/s OOK on 50-GHz Grid , 2007, IEEE Photonics Technology Letters.

[2]  H. Sunnerud,et al.  Effects of Nonlinearities on PMD-Induced System Impairments , 2006, Journal of Lightwave Technology.

[3]  J.-P. Elbers,et al.  Influence of cross-phase modulation induced nonlinear phase noise on DQPSK signals from neighbouring OOK channels , 2005 .

[4]  Leonid G. Kazovsky,et al.  Cross-phase modulation in fiber links with multiple optical amplifiers and dispersion compensators , 1996 .

[5]  Chongjin Xie Suppression of inter-channel nonlinearities in WDM coherent PDMQPSK systems using periodic-group-delay dispersion compensators , 2009, 2009 35th European Conference on Optical Communication.

[6]  G. Ishikawa,et al.  40-Gb/s WDM transmission with virtually imaged phased array (VIPA) variable dispersion compensators , 2002 .

[7]  B. Spinnler,et al.  Nonlinear tolerance of differential phase shift keying modulated signals reduced by XPM , 2004, Optical Fiber Communication Conference, 2004. OFC 2004.

[8]  C. Menyuk,et al.  Interaction of polarization mode dispersion and nonlinearity in optical fiber transmission systems , 2006, Journal of Lightwave Technology.

[9]  T. Duthel,et al.  Analysis of Crosstalk in Mixed 43 Gb/s RZ-DQPSK and 10.7 Gb/s DWDM Systems at 50 GHz Channel Spacing , 2007, OFC/NFOEC 2007 - 2007 Conference on Optical Fiber Communication and the National Fiber Optic Engineers Conference.

[10]  J. Kahn,et al.  Compensation of Dispersion and Nonlinear Impairments Using Digital Backpropagation , 2008, Journal of Lightwave Technology.

[11]  Takeshi Hoshida,et al.  The impact of DWDM channel de-correlation method in optical PSK coherent transmission experiment , 2009, 2009 35th European Conference on Optical Communication.

[12]  J. Gordon,et al.  Polarization scattering by soliton-soliton collisions. , 1995, Optics letters.

[13]  Nonlinear limits in single- and dual-polarization transmission , 2010, IEEE Photonics Society Summer Topicals 2010.

[14]  M. Winter,et al.  A Statistical Treatment of Cross-Polarization Modulation in DWDM Systems , 2009, Journal of Lightwave Technology.

[16]  Takeshi Hoshida,et al.  Improvements to Digital Carrier Phase Recovery Algorithm for High-Performance Optical Coherent Receivers , 2010, IEEE Journal of Selected Topics in Quantum Electronics.

[17]  A.E. Willner,et al.  The effects of XPM-induced fast polarization-state fluctuations on PMD compensated WDM systems , 2004, IEEE Photonics Technology Letters.

[18]  T. Tanimura,et al.  Adaptive optimization for digital carrier phase estimation in optical coherent receivers , 2008, 2008 Digest of the IEEE/LEOS Summer Topical Meetings.

[19]  Takeshi Hoshida,et al.  Nonlinear polarization crosstalk canceller for dual-polarization digital coherent receivers , 2010, 2010 Conference on Optical Fiber Communication (OFC/NFOEC), collocated National Fiber Optic Engineers Conference.

[20]  Takeshi Hoshida,et al.  XPM tolerant adaptive carrier phase recovery for coherent receiver based on phase noise statistics monitoring , 2009, 2009 35th European Conference on Optical Communication.

[21]  T. Tanimura,et al.  112 Gb/s DP-QPSK transmission using a novel nonlinear compensator in digital coherent receiver , 2009, 2009 Conference on Optical Fiber Communication - incudes post deadline papers.

[22]  Takeshi Hoshida,et al.  Implementation efficient nonlinear equalizer based on correlated digital backpropagation , 2011, 2011 Optical Fiber Communication Conference and Exposition and the National Fiber Optic Engineers Conference.

[23]  T. Naito,et al.  Suppression of XPM penalty in dispersion managed hybrid 10G/40G/100G DWDM networks using group delay management , 2009, 2009 35th European Conference on Optical Communication.

[24]  S. Bigo,et al.  Overlaying coherent-detection channels over direct-detection channels in multi-bit-rate systems , 2009, 2009 Conference on Optical Fiber Communication - incudes post deadline papers.

[25]  M. O'Sullivan,et al.  Performance of Dual-Polarization QPSK for Optical Transport Systems , 2009, Journal of Lightwave Technology.

[26]  R. Khosravani Timing-jitter in high bit-rate WDM communication systems due to PMD-nonlinearity interaction , 2005, OFC/NFOEC Technical Digest. Optical Fiber Communication Conference, 2005..

[27]  Takeshi Hoshida,et al.  Multi-stage carrier phase recovery and nonlinear polarization crosstalk canceller for XPM mitigation , 2011, 2011 Optical Fiber Communication Conference and Exposition and the National Fiber Optic Engineers Conference.

[28]  D.A. Fishman,et al.  Scalable dispersion management for hybrid 10-Gb/s and 40-Gb/s DWDM transmissions with high nonlinear tolerance , 2005, IEEE Photonics Technology Letters.

[29]  J. Khurgin,et al.  Investigation of 2-b/s/Hz 40-gb/s DWDM transmission over 4/spl times/100 km SMF-28 fiber using RZ-DQPSK and polarization multiplexing , 2004, IEEE Photonics Technology Letters.

[30]  Takeshi Hoshida,et al.  A simplified model for nonlinear cross-phase modulation in hybrid optical coherent system. , 2009, Optics express.

[31]  A. Bononi,et al.  Nonlinear penalty reduction induced by PMD in 112 Gbit/s WDM PDM-QPSK coherent systems , 2009, 2009 35th European Conference on Optical Communication.

[33]  M. Brandt-Pearce,et al.  Volterra series transfer function of single-mode fibers , 1997 .

[34]  Q. Lin,et al.  Effects of polarization-mode dispersion on cross-phase modulation in dispersion-managed wavelength-division-multiplexed systems , 2004, Journal of Lightwave Technology.

[35]  S. Bigo,et al.  Experimental analysis of 100Gb/s coherent PDM-QPSK long-haul transmission under constraints of typical terrestrial networks , 2008, 2008 34th European Conference on Optical Communication.

[36]  Xiang Liu,et al.  Suppression of XPM Penalty on 40-Gb/s DQPSK Resulting from 10-Gb/s OOK Channels by Dispersion Management , 2008, OFC/NFOEC 2008 - 2008 Conference on Optical Fiber Communication/National Fiber Optic Engineers Conference.

[37]  M. Brandt-Pearce,et al.  Modified Volterra series transfer function method , 2002, IEEE Photonics Technology Letters.

[38]  K. Petermann,et al.  Equivalent Single-Span Model for Dispersion-Managed Fiber-Optic Transmission Systems , 2009, Journal of Lightwave Technology.

[39]  Takeshi Hoshida,et al.  A low complexity pre-distortion method for intra-channel nonlinearity , 2011, 2011 Optical Fiber Communication Conference and Exposition and the National Fiber Optic Engineers Conference.

[40]  Keang-Po Ho,et al.  Phase-Modulated Optical Communication Systems , 2005 .