Abstract

Four-wave mixing (FWM) is one the limiting factors for existing and future wavelength division multiplexed optical networks. A semianalytical method based on Monte Carlo and Extreme Value theory is proposed and applied to study the influence of the FWM noise on the performance of WDM systems. The statistical behavior of the FWM noise is investigated while the Bit-Error rate is calculated for various combinations of the design parameters and for both single and multiple span WDM systems. The semianalytical method is also compared to the Multicanonical Monte Carlo (MCMC) method showing the same efficiency and accuracy with the former providing however the advantage of deriving closed-form approximations for the cumulative distribution functions of the photocurrents in the mark and the space state and the BER.

Highlights

  • It is widely accepted that multimedia applications and broadband services will play a significant role in the operation of future and already installed Wavelength Division Multiplexing (WDM) Optical Networks [1] due to the extremely huge volume of data that#192868 - $15.00 USD Received 25 Jun 2013; revised 29 Jul 2013; accepted 29 Jul 2013; published 23 Sep 2013(C) 2013 OSA should be transmitted

  • Note that θpqr = θp + θq - θr is the phase of the four-wave mixing (FWM) noise generated from a channel combination (p, q, r) with p, q, r ε [1 . . .Nch] and r = p + q - z

  • The results obtained by the hybrid method for the central channel (z = 8) of a 16-channel WDM system are plotted as points in Fig. 1 for various values of the chromatic dispersion and the channel spacing

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Summary

Introduction

It is widely accepted that multimedia applications and broadband services will play a significant role in the operation of future and already installed Wavelength Division Multiplexing (WDM) Optical Networks [1] due to the extremely huge volume of data that. WDM optical networks concentrate several advantages such as low losses and high capacity, there are numerous linear and nonlinear effects degrading their performance and should be accurately evaluated. Nonlinear effects such as self- and cross-phase modulation as well as four-wave mixing (FWM) seem to be more severe than linear ones since they cannot be compensated for by optical amplifiers and chromatic dispersion compensators. A study of such systems is useful since low dispersion fibers (G.655 fibers) can provide many advantages (e.g., reduced need for dispersion compensation modules, etc.) and are used in numerous already installed links especially in transport and backbone networks. A hybrid method is proposed for the derivation of semi-analytical expressions for both the BER and the cumulative distribution functions (cdfs) of the photocurrents using Extreme Values Theory (EVT) [9, 10] enabling the quick and accurate estimation of the FWM noise impact

Single span systems
Multispan systems
Basics of extreme value theory
Using EVT in the BER calculation
Results and discussion
Conclusion
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