OSA's Digital Library

Optics Express

Optics Express

  • Editor: Andrew M. Weiner
  • Vol. 21, Iss. 20 — Oct. 7, 2013
  • pp: 23075–23086

Semianalytical estimation of the four-wave mixing noise based on extreme value theory

Ioannis Neokosmidis, Stylianos Marakis, and Dimitris Varoutas  »View Author Affiliations


Optics Express, Vol. 21, Issue 20, pp. 23075-23086 (2013)
http://dx.doi.org/10.1364/OE.21.023075


View Full Text Article

Enhanced HTML    Acrobat PDF (1310 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

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.

© 2013 Optical Society of America

OCIS Codes
(000.5490) General : Probability theory, stochastic processes, and statistics
(060.0060) Fiber optics and optical communications : Fiber optics and optical communications
(060.4370) Fiber optics and optical communications : Nonlinear optics, fibers
(190.3270) Nonlinear optics : Kerr effect
(190.4380) Nonlinear optics : Nonlinear optics, four-wave mixing

ToC Category:
Fiber Optics and Optical Communications

History
Original Manuscript: June 25, 2013
Revised Manuscript: July 29, 2013
Manuscript Accepted: July 29, 2013
Published: September 23, 2013

Citation
Ioannis Neokosmidis, Stylianos Marakis, and Dimitris Varoutas, "Semianalytical estimation of the four-wave mixing noise based on extreme value theory," Opt. Express 21, 23075-23086 (2013)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-21-20-23075


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. B. Mukherjee, Optical WDM Networks (Springer, 2006).
  2. C.-H. Lee, S.-M. Lee, K.-M. Choi, J.-H. Moon, S.-G. Mun, K.-T. Jeong, J. H. Kim, and B. Kim, “WDM-PON experiences in Korea [Invited],” J. Opt. Netw.6(5), 451–464 (2007). [CrossRef]
  3. C. H. Lee, W. V. Sorin, and B. Y. Kim, “Fiber to the Home Using a PON Infrastructure,” Lightwave Technology, Journalism24, 4568–4583 (2006).
  4. I. Neokosmidis, T. Kamalakis, A. Chipouras, and T. Sphicopoulos, “New techniques for the suppression of the four-wave mixing-induced distortion in nonzero dispersion fiber WDM systems,” J. Lightwave Technol.23, 1137–1144 (2005).
  5. M. Eiselt, “Limits on WDM Systems Due to Four-Wave Mixing: A Statistical Approach,” J. Lightwave Technol.17(11), 2261–2267 (1999). [CrossRef]
  6. I. Neokosmidis, T. Kamalakis, A. Chipouras, and T. Sphicopoulos, “Evaluation by Monte Carlo Simulations of the Power Limits and Bit-Error Rate Degradation in Wavelength-Division Multiplexing Networks Caused by Four-Wave Mixing,” Appl. Opt.43(26), 5023–5032 (2004). [CrossRef] [PubMed]
  7. I. Neokosmidis, T. Kamalakis, A. Chipouras, and T. Sphicopoulos, “Estimation of the four-wave mixing noise probability-density function by the multicanonical Monte Carlo method,” Opt. Lett.30(1), 11–13 (2005). [CrossRef] [PubMed]
  8. R. Holzlöhner and C. R. Menyuk, “Use of multicanonical Monte Carlo simulations to obtain accurate bit error rates in optical communications systems,” Opt. Lett.28(20), 1894–1896 (2003). [CrossRef] [PubMed]
  9. E. Castillo, A. S. Hadi, N. Balakrishman, and J. M. Sarabia, Extreme value and related models with applications in engineering and science (John Wiley and Sons, 2005).
  10. S. Savory, F. Payne, and A. Hadjifotiou, “Estimating Outages Due to Polarization Mode Dispersion Using Extreme Value Statistics,” J. Lightwave Technol.24(11), 3907–3913 (2006). [CrossRef]
  11. K. Inoue, K. Nakanishi, K. Oda, and H. Toba, “Crosstalk and power penalty due to fiber four-wave mixing in multichannel transmissions,” Lightwave Technology, Journalism12, 1423–1439 (1994).
  12. K. Inoue, “Phase-mismatching characteristic of four-wave mixing in fiber lines with multistage optical amplifiers,” Opt. Lett.17(11), 801–803 (1992). [CrossRef] [PubMed]
  13. G. H. Einarsson, Principles of Lightwave Communications (John Wiley & Sons, 1996).

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

Figures

Fig. 1 Fig. 2 Fig. 3
 
Fig. 4 Fig. 5
 

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited