Capacity limits of information transmission in optically-routed fiber networks

Optical networks are the backbone of our information society, and the single-mode optical fiber is its transmission medium. The “fiber channel” differs in many ways from other commonly encountered communication channels such as wireless and satellite channels. The most crucial difference is the presence of a nonlinear phenomenon in the fiber, the optical Kerr effect. Optimally managing the Kerr nonlinearity is currently viewed as central to determining the capacity limit of modern optically-routed networks. We present here a conservative estimate of the fiber channel capacity using reverse signal propagation in a band limited optical path of an optically-routed network. This study fully accounts for all instantaneous fiber Kerr nonlinearity's effects on both signal and noise. We predict capacity per unit of bandwidth (or spectral efficiency) well above current record experimental demonstrations. é 2010 Alcatel-Lucent.

[1]  H. Nyquist,et al.  Certain Topics in Telegraph Transmission Theory , 1928, Transactions of the American Institute of Electrical Engineers.

[2]  A. Yariv,et al.  Quantum Fluctuations and Noise in Parametric Processes. I. , 1961 .

[3]  J. Gordon,et al.  Quantum Statistics of Masers and Attenuators , 1963 .

[4]  R. Gallager Information Theory and Reliable Communication , 1968 .

[5]  Franklin A. Graybill,et al.  Introduction to The theory , 1974 .

[6]  John G. Proakis,et al.  Digital Communications , 1983 .

[7]  S. Swain Handbook of Stochastic Methods for Physics, Chemistry and the Natural Sciences , 1984 .

[8]  J. Elgin The Fokker-Planck Equation: Methods of Solution and Applications , 1984 .

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

[10]  J. Gordon,et al.  Phase noise in photonic communications systems using linear amplifiers. , 1990, Optics letters.

[11]  A. Chraplyvy Limitations on lightwave communications imposed by optical-fiber nonlinearities , 1990 .

[12]  Thomas M. Cover,et al.  Elements of Information Theory , 2005 .

[13]  G. Agrawal Fiber‐Optic Communication Systems , 2021 .

[14]  A. Mecozzi Limits to long-haul coherent transmission set by the Kerr nonlinearity and noise of the in-line amplifiers , 1994 .

[15]  W. Forysiak,et al.  Reduction of Gordon-Haus jitter in soliton transmission systems by optical phase conjugation , 1995 .

[16]  Gerard J. Foschini,et al.  Layered space-time architecture for wireless communication in a fading environment when using multi-element antennas , 1996, Bell Labs Technical Journal.

[17]  M. Durkin,et al.  1 m long continuously-written fibre Bragg gratings for combined second- and third-order dispersion compensation , 1997 .

[18]  Kumar N. Sivarajan,et al.  Optical Networks: A Practical Perspective , 1998 .

[19]  Jian H. Zhao,et al.  Optical Filter Design and Analysis: A Signal Processing Approach , 1999 .

[20]  P. Mitra,et al.  The channel capacity of a fiber optics communication system: perturbation theory , 2000, physics/0007033.

[21]  Partha P. Mitra,et al.  Nonlinear limits to the information capacity of optical fibre communications , 2000, Nature.

[22]  Jau Tang The Shannon channel capacity of dispersion-free nonlinear optical fiber transmission , 2001 .

[23]  A. Gnauck,et al.  Cancellation of timing and amplitude jitter in symmetric links using highly dispersed pulses , 2001, IEEE Photonics Technology Letters.

[24]  Kevin Barraclough,et al.  I and i , 2001, BMJ : British Medical Journal.

[25]  G. Raybon,et al.  Pseudo-Linear Transmission of High-Speed TDM Signals , 2002 .

[26]  Jau Tang The channel capacity of a multispan DWDM system employing dispersive nonlinear optical fibers and an ideal coherent optical receiver , 2002 .

[27]  E. Desurvire A quantum model for optically amplified nonlinear transmission systems , 2002 .

[28]  K. Turitsyn,et al.  Information capacity of optical fiber channels with zero average dispersion. , 2003, Physical review letters.

[29]  C. Xie,et al.  Reduction of soliton phase jitter by in-line phase conjugation. , 2003, Optics letters.

[30]  Hoon Kim Cross-phase-modulation-induced nonlinear phase noise in WDM direct-detection DPSK systems , 2003 .

[31]  J. Bromage,et al.  Raman amplification for fiber communications systems , 2003, Journal of Lightwave Technology.

[32]  P. Littlewood,et al.  The effect of propagation nonlinearities on the information capacity of WDM optical fiber systems: cross-phase modulation and four-wave mixing , 2004 .

[33]  A. Mecozzi Probability density functions of the nonlinear phase noise. , 2004, Optics letters.

[34]  A. Gnauck,et al.  Bit pattern length dependence of intrachannel nonlinearities in pseudolinear transmission , 2004, IEEE Photonics Technology Letters.

[35]  Shiva Kumar Effect of dispersion on nonlinear phase noise in optical transmission systems. , 2005, Optics letters.

[36]  I. Djordjevic,et al.  Achievable information rates for high-speed long-haul optical transmission , 2005, Journal of Lightwave Technology.

[37]  Govind P. Agrawal,et al.  Lightwave technology : telecommunication systems , 2005 .

[38]  Young-Kai Chen,et al.  12.5-GHz optically sampled interference-based photonic arbitrary waveform Generator , 2005, IEEE Photonics Technology Letters.

[39]  J. M. Simmons,et al.  Evolution toward the next-generation core optical network , 2006, Journal of Lightwave Technology.

[40]  Paul H. Siegel,et al.  On the Multiuser Capacity of WDM in a Nonlinear Optical Fiber: Coherent Communication , 2006, IEEE Transactions on Information Theory.

[41]  Sang Joon Kim,et al.  A Mathematical Theory of Communication , 2006 .

[42]  J. Gordon,et al.  Solitons in Optical Fibers: Fundamentals and Applications , 2006 .

[43]  P. Winzer,et al.  High spectral efficiency modulation for high capacity transmission , 2008, 2008 Digest of the IEEE/LEOS Summer Topical Meetings.

[44]  W. Marsden I and J , 2012 .

[45]  Aaas News,et al.  Book Reviews , 1893, Buffalo Medical and Surgical Journal.