Expressions for the nonlinear transmission performance of multi-mode optical fiber.

We develop an analytical theory which allows us to identify the information spectral density limits of multimode optical fiber transmission systems. Our approach takes into account the Kerr-effect induced interactions of the propagating spatial modes and derives closed-form expressions for the spectral density of the corresponding nonlinear distortion. Experimental characterization results have confirmed the accuracy of the proposed models. Application of our theory in different FMF transmission scenarios has predicted a ~10% variation in total system throughput due to changes associated with inter-mode nonlinear interactions, in agreement with an observed 3dB increase in nonlinear noise power spectral density for a graded index four LP mode fiber.

[1]  Mark Shtaif,et al.  Coupled Manakov equations in multimode fibers with strongly coupled groups of modes. , 2012, Optics express.

[2]  H. Silva,et al.  Nonlinear Semi-Analytical Model for Simulation of Few-Mode Fiber Transmission , 2012, IEEE Photonics Technology Letters.

[3]  R. Essiambre,et al.  Nonlinear Propagation in Multimode and Multicore Fibers: Generalization of the Manakov Equations , 2012, Journal of Lightwave Technology.

[4]  Xi Chen,et al.  Closed-form expressions for nonlinear transmission performance of densely spaced coherent optical OFDM systems. , 2010, Optics express.

[5]  Peter J. Winzer,et al.  MIMO capacities and outage probabilities in spatially multiplexed optical transport systems. , 2011, Optics express.

[6]  David J. Richardson,et al.  Towards high-capacity fibre-optic communications at the speed of light in vacuum , 2013, Nature Photonics.

[7]  Danish Rafique,et al.  Impact of power allocation strategies in long-haul few-mode fiber transmission systems. , 2013, Optics express.

[8]  A. Carena,et al.  Analytical results on channel capacity in uncompensated optical links with coherent detection , 2011, 2011 37th European Conference and Exhibition on Optical Communication.

[9]  A D Ellis,et al.  73.7 Tb/s (96 x 3 x 256-Gb/s) mode-division-multiplexed DP-16QAM transmission with inline MM-EDFA. , 2012, Optics express.

[10]  D. G. Foursa,et al.  Impact of broadband four-wave mixing on system characterization , 2013, 2013 Optical Fiber Communication Conference and Exposition and the National Fiber Optic Engineers Conference (OFC/NFOEC).

[11]  Gang-Ding Peng,et al.  Mode-division multiplexed transmission with inline few-mode fiber amplifier. , 2012, Optics express.

[12]  P. Winzer,et al.  Capacity Limits of Optical Fiber Networks , 2010, Journal of Lightwave Technology.

[13]  Peter J. Winzer,et al.  Optical Networking Beyond WDM , 2012, IEEE Photonics Journal.

[14]  R. W. Tkach,et al.  Experimental Investigation of Inter-Modal Four-Wave Mixing in Few-Mode Fibers , 2013, IEEE Photonics Technology Letters.

[15]  A. E. Willner,et al.  Mode Properties and Propagation Effects of Optical Orbital Angular Momentum (OAM) Modes in a Ring Fiber , 2012, IEEE Photonics Journal.

[16]  T. Tanimura,et al.  Analytical results on back propagation nonlinear compensator with coherent detection. , 2012, Optics express.

[17]  R. W. Tkach,et al.  Experimental Observation of Inter-Modal Cross-Phase Modulation in Few-Mode Fibers , 2013, IEEE Photonics Technology Letters.

[18]  A. D. Ellis The MODE-GAP project , 2013, 2013 IEEE Photonics Conference.

[19]  D. Rafique,et al.  Impact of signal-ASE four-wave mixing on the effectiveness of digital back-propagation in 112 Gb/s PM-QPSK systems. , 2011, Optics express.

[20]  P. Poggiolini,et al.  Analytical Modeling of Nonlinear Propagation in Uncompensated Optical Transmission Links , 2011, IEEE Photonics Technology Letters.

[21]  A. D. Ellis,et al.  Four wave mixing in ultra long transmission systems incorporating linear amplifiers , 1990 .

[22]  C. Lin,et al.  Continuously tunable multiple-order stimulated four-photon mixing in a multimode silica fiber. , 1984, Optics letters.

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

[24]  Jian Zhao,et al.  Approaching the Non-Linear Shannon Limit , 2010, Journal of Lightwave Technology.

[25]  Maxim Kuschnerov,et al.  DSP complexity of mode-division multiplexed receivers. , 2012, Optics express.

[26]  Polina Bayvel,et al.  Comparison of the nonlinear transmission performance of quasi-Nyquist WDM and reduced guard interval OFDM. , 2012, Optics express.

[27]  A. D. Ellis,et al.  Precise modelling of four wave mixing products over 400 km of step-index fibre , 1992 .

[28]  K. Petermann,et al.  Analytical Description of Cross-Modal Nonlinear Interaction in Mode Multiplexed Multimode Fibers , 2012, IEEE Photonics Technology Letters.

[29]  Stylianos Sygletos,et al.  Nonlinear pulse distortion in few-mode fiber , 2012, 2012 38th European Conference and Exhibition on Optical Communications.

[30]  B. Guan,et al.  12 x 12 MIMO Transmission over 130-km Few-Mode Fiber , 2012 .

[31]  R. W. Terhune,et al.  Study of Optical Effects Due to an Induced Polarization Third Order in the Electric Field Strength , 1965 .

[32]  David J Richardson,et al.  Filling the Light Pipe , 2010, Science.

[33]  S. Randel,et al.  Inter-modal nonlinear interactions between well separated channels in spatially-multiplexed fiber transmission , 2012, 2012 38th European Conference and Exhibition on Optical Communications.

[34]  A. Gnauck,et al.  Mode-multiplexed 6×20-GBd QPSK transmission over 1200-km DGD-compensated few-mode fiber , 2012, OFC/NFOEC.