Effects of Nonlinearities on PMD-Induced System Impairments

It is well known that cross-phase-modulation-induced polarization rotation, cross-polarization modulation (XPolM), significantly degrades the performance of polarization-mode-dispersion (PMD) compensators. In this paper, the research on XPolM is reviewed, unique simulations of XPolM in the presence of walk off are presented, and some pitfalls are demonstrated with respect to choice of data streams in such simulations. Then, the authors discuss how XPolM affects PMD and PMD-induced outage probabilities (OP) in fiber-communication systems by providing analytical formulas for the OP with and without XPolM. Finally, the XPolM and PMD compensation are tied together by giving simple rules of thumb for when XPolM degrades PMD compensated systems, and PMD mitigation methods that are robust to XPolM are discussed

[1]  R. Khosravani,et al.  Limitations to first-order PMD compensation in WDM systems due to XPM-induced PSP changes , 2001, OFC 2001. Optical Fiber Communication Conference and Exhibit. Technical Digest Postconference Edition (IEEE Cat. 01CH37171).

[2]  Alan E. Willner,et al.  XPM-induced polarization-state fluctuations in WDM systems and their mitigation , 2002, Optical Fiber Communication Conference and Exhibit.

[3]  L. Boivin,et al.  Nonlinear polarization evolution induced by cross-phase modulation and its impact on transmission systems , 2000, IEEE Photonics Technology Letters.

[4]  S.L. Woodward,et al.  Cross-polarization modulation: theory and measurement of a two-channel WDM system , 2005, IEEE Photonics Technology Letters.

[5]  Sethumadhavan Chandrasekhar,et al.  Setup for demonstration of cross channel-induced nonlinear PMD in WDM system , 2001 .

[6]  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.

[7]  H. Kogelnik,et al.  PMD fundamentals: polarization mode dispersion in optical fibers. , 2000, Proceedings of the National Academy of Sciences of the United States of America.

[8]  F. Buchali,et al.  Adaptive PMD compensation by electrical and optical techniques , 2004, Journal of Lightwave Technology.

[9]  S Wabnitz,et al.  New all-optical devices based on third-order nonlinearity of birefringent fibers. , 1986, Optics letters.

[10]  A.J. van Wijngaarden,et al.  Multichannel PMD mitigation and outage reduction through FEC with sub-burst-error-correction period PMD scrambling , 2004, IEEE Photonics Technology Letters.

[11]  Henrik Sunnerud,et al.  PMD Compensation Using 2R and 3R Regenerators , 2004 .

[12]  R. W. Terhune,et al.  Intensity-Dependent Changes in the Refractive Index of Liquids , 1964 .

[13]  M. Shtaif.  Analytical description of cross-phase modulation in dispersive optical fibers. , 1998, Optics letters.

[14]  Bruno Crosignani,et al.  Intensity-induced rotation of the polarization ellipse in low-birefringence, single-mode optical fibres , 1985 .

[15]  Peter A. Andrekson,et al.  Is soliton communications really beneficial in presence of polarization mode dispersion , 2002 .

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

[17]  R. E. Wagner,et al.  Phenomenological approach to polarisation dispersion in long single-mode fibres , 1986 .

[18]  Chongjin Xie,et al.  Effect of cross-phase-modulation-induced polarization scattering on optical polarization mode dispersion compensation in wavelength-division-multiplexed systems. , 2003, Optics letters.

[19]  D. Marcuse,et al.  Application of the Manakov-PMD equation to studies of signal propagation in optical fibers with randomly varying birefringence , 1997 .

[20]  C. R. Menyuk,et al.  Polarization evolution due to the Kerr nonlinearity and chromatic dispersion , 1999 .

[21]  A. Bononi,et al.  A simple formula for the degree of polarization degraded by XPM and its experimental validation , 2003, OFC 2003 Optical Fiber Communications Conference, 2003..

[22]  P. Wai,et al.  Polarization mode dispersion, decorrelation, and diffusion in optical fibers with randomly varying birefringence , 1996 .

[23]  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..

[24]  S. V. Manakov.  On the theory of two-dimensional stationary self-focusing of electromagnetic waves , 1973 .

[25]  K.J. Park,et al.  Effects of nonlinear crosstalk in optical PMD compensation , 2002, IEEE Photonics Technology Letters.

[26]  J R Taylor,et al.  Measurement of normalization factor of n(2) for random polarization in optical fibers. , 1996, Optics letters.

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

[28]  H. H. Chen,et al.  Stability of solitons in randomly varying birefringent fibers. , 1991, Optics letters.

[29]  Gregory Raybon,et al.  107-Gb/s optical ETDM transmitter for 100G Ethernet transport , 2005 .

[30]  J. Nagel,et al.  Chapter 6 – Polarization Effects in Lightwave Systems , 1997 .

[31]  Magnus Karlsson,et al.  PMD impact on optical systems: Single- and multichannel effects , 2004 .

[32]  Karlsson,et al.  Interactions between polarized soliton pulses in optical fibers: Exact solutions. , 1996, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[33]  P. Andrekson,et al.  Influences of polarization-mode dispersion on soliton transmission systems , 2002 .

[34]  H. Sunnerud,et al.  DM solitons in long-haul DWDM systems at 40 Gb/s with nonlinear interactions and PMD , 2003, IEEE Photonics Technology Letters.

[35]  C. Menyuk.  Nonlinear pulse propagation in birefringent optical fibers , 1987 .

[36]  P. Andrekson,et al.  A comparison between NRZ and RZ data formats with respect to PMD-induced system degradation , 2001, IEEE Photonics Technology Letters.

[37]  Govind P. Agrawal,et al.  Nonlinear Fiber Optics , 1989 .

[38]  Curtis R. Menyuk,et al.  Pulse propagation in an elliptically birefringent Kerr medium , 1989 .

[39]  Peter A. Andrekson,et al.  Polarization-mode dispersion in high-speed fiber-optic transmission systems , 2002 .

[40]  Carsten Schmidt-Langhorst,et al.  Single channel 1.28 Tbit/s and 2.56 Tbit/s DQPSK transmission , 2005 .

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

[42]  Herbert G. Winful,et al.  Self‐induced polarization changes in birefringent optical fibers , 1985 .

[43]  H. Kogelnik,et al.  Polarization-Mode Dispersion , 2002 .

[44]  A. Bononi,et al.  Experimental statistical assessment of XPM impact on optical PMD compensator efficiency , 2003, OFC 2003 Optical Fiber Communications Conference, 2003..

[45]  H. Weber,et al.  Automatic PMD compensation at 40 Gbit/s and 80 Gbit/s using a 3-dimensional DOP evaluation for feedback , 2001, OFC 2001. Optical Fiber Communication Conference and Exhibit. Technical Digest Postconference Edition (IEEE Cat. 01CH37171).

[46]  M. Karlsson,et al.  Quaternion approach to PMD and PDL phenomena in optical fiber systems , 2004, Journal of Lightwave Technology.

[47]  S.L. Woodward,et al.  Cross-polarization modulation: theory and experiment multiple-wavelength system , 2006, 2006 Optical Fiber Communication Conference and the National Fiber Optic Engineers Conference.

[48]  Alberto Bononi,et al.  Degree of polarization degradation due to cross-phase modulation and its impact on polarization-mode dispersion compensators , 2003 .

[49]  N. S. Bergano,et al.  Polarization multiplexing with solitons , 1992 .

[50]  G. Agrawal,et al.  Vector theory of cross-phase modulation: role of nonlinear polarization rotation , 2004, IEEE Journal of Quantum Electronics.