Skip to main content
Log in

Modeling and minimization of FWM effects in DWDM-based long-haul optical communication systems

  • Original Paper
  • Published:
Photonic Network Communications Aims and scope Submit manuscript

Abstract

Optical communication systems (OCSs) mainly represent the backbone of modern long-haul communication networks because of low loss transmission over long distances and ultra-high capacity. However high data-rate transmission through optical fiber suffers from deterioration due to nonlinear impairments, such as four-wave mixing (FWM) in particular. At high launch power levels, which are required for the long-haul transmission over hundreds of km, these nonlinear effects become more severe which imposes a challenge to achieve satisfactory transmission performance. In this paper, a theoretical model for the FWM effects and its mitigation is presented and validated through simulation results. Moreover, two other nonlinear effects, polarization mode dispersion and nonlinear dispersion variations are also investigated for various values of launch power level. The transmission performance of the proposed OCS model is evaluated on the basis of bit error rate, optical signal-to-noise ratio and quality factor using different transmission channel parameters such as effective area, nonlinear refractive index, nonlinear dispersion, and linear dispersion.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11

Similar content being viewed by others

Notes

  1. The terms launch power and input power are used interchangeably in this paper.

  2. 3R means re-amplification, re-shaping, and re-timing of the signal at the Rx side.

References

  1. Senior, J.M.: Optical Fiber Communications, Principals and Practice, 3rd edn. Prentice Hall, London (2008)

    Google Scholar 

  2. Zhang, H., Jin, L., Zhang, H., Xu, Y., Shi, L., Wang, T., Chen, H., Wang, D., Ohuima, X.: All-fiber nonlinear optical switch based on polarization controller coiled SMF–GIMF–SMF for ultrashort pulse generation. J. Opt. Commun. 452(1), 7–11 (2019)

    Article  Google Scholar 

  3. Chen, Z., Guo, X., Fu, X., Shu, C., Li, Z.: Investigation of four-wave-mixing crosstalk in phase-sensitive fiber optical parametric amplifier. J. Lightw. Technol. 36(15), 5113–5120 (2018)

    Article  Google Scholar 

  4. Habib, U., Steeg, M., Stohr, A., Gomes, N.J.: Radio-over-fiber-supported 60GHz multiuser transmission using leaky wave antenna. In: International Topical Meeting on Microwave Photonics (MWP)

  5. Habib, U., Aighobahi, A.E., Wang, C., Gomes, N.J.: Radio over fiber transport of mm-Wave 2x2 MIMO for spatial diversity and multiplexing. In: IEEE International Topical Meeting on Microwave Photonics (MWP), Long Beach USA, pp. 39–42 (2016)

  6. Ali, F., Khan, Y., Ali, A., Ahmad, G.: Minimization of nonlinear impairments and its impact on transmission performances of high-capacity long-haul optical networks. J. Opt. Commun. https://doi.org/10.1515/joc-2018-0092

  7. Ali, F., Khan, Y., Qureshi, S. S., Ahmad, S., Waqas, M.: Effect of fiber-optics nonlinearities in long-haul and ultra-high speed DWDM optical transmission networks at 10, 40 and 100 Gb/s ultra-high speed data rates. J. Opt. Commun. https://doi.org/10.1515/joc-2018-0173

  8. Marvin, S., Pratheesh, P.: Analysis of SPM and FWM in optical fiber communication system using optisystem. Int. J. Eng. Res. Technol. 3(3), 1700–1704 (2014)

    Google Scholar 

  9. Ali, F., Khan, Y., Qureshi, S. S.: Transmission performance comparison of 16*100 Gbps dense wavelength division multiplexed long haul optical networks at different advance modulation formats under the influence of nonlinear impairments. J. Opt. Commun. https://doi.org/10.1515/joc-2018-0185

  10. Anjum, O.F., Horak, P., Jung, Y., Suzuki, M., Yamamoto, Y., Hasegawa, T., Petropoulos, P., Richardson, D.J., Parmigianil, F.: Bandwidth enhancement of inter-modal four wave mixing Bragg scattering by means of dispersion engineering. APL Photonics 4(2), 368–370 (2018)

    Google Scholar 

  11. Huszaník, T., Turán, J., Ovseník, L.: On mitigation of four-wave mixing in high capacity ultra-DWDM system. In: Proceedings of the International Carpathian Control Conference (ICCC), pp. 1–4. Krakow-Wieliczka, Poland (2019)

  12. Jiangbing, D., Li, L., Xinyu, F., Qingwen, L., Zuyuan, H.: Sensitivity enhancement for fiber bragg grating sensors by four wave mixing. Photonics 2(2), 426–439 (2015)

    Article  Google Scholar 

  13. Panda, A., Mishra, D.P.: Nonlinear effect of four wave mixing for wdm in radio-over-fiber systems. J. Electron. Commun. Eng. Res. 2(4), 01–06 (2014)

    Google Scholar 

  14. Pandey, S.K., Yadav, S.: Theoretical analysis of self-phase modulation effect on different parameters in optical transmission system. J. Photon. Netw. Commun. 38(2), 289–297 (2019)

    Article  Google Scholar 

  15. e Wu, J. W., Nakarmi, B., Won, Y. H., : Highly nondegenerate four-wave mixing in single-mode fabry-perot laser diode subject to dual-mode injection. IEEE Photonics J. 8(2), 1–6 (2016)

    Google Scholar 

  16. Colin, J., Karlsson, M.: Effects of polarization-mode dispersion on degenerate four-wave mixing. J. Lightw. Technol. 35(19), 4210–4218 (2017)

    Article  Google Scholar 

  17. Kavitha, K., priya, R. V., Devi, M.V. R.: Mixed fiber optical parametric amplifiers for broadband optical communication systems with reduced nonlinear effects. In: Proceedings of the International Conference on Communication and Signal Processing, India (2017)

  18. Khalid, R.: Analysis of the Q-factor of the external modulation with different optical filters to overcome the fwm non-linearity in the fiber networks. In: Proceedings of the International Symposium on Wireless Systems and Networks, pp. 19–22. Lahore, Pakistan (2017)

  19. Paza, J.L., Alvaradoc, Y.J., Ascanoa, L.L., Vera, C.C.: Three levels of propagation of the four-wave mixing signal. J. Res. Phys. 11, 414–421 (2019)

    Google Scholar 

  20. Singh, M.: Efficiency of four wave mixing effect at different system parameters of an optical fiber WDM transmission link. In: Proceedings of the 2nd International Conference on Recent Advances in Engineering, pp. 21–22. Computational Sciences, Chandigarh, India (2015)

  21. Uzunidis, D., Matrakidis, C.: Analytical FWM expressions for coherent optical transmission systems. J. Lightw. Technol. 35(1), 2734–2740 (2017)

    Article  Google Scholar 

  22. Uzunidis, D., Matrakidis, C., Stavdas, A.: Simplified model for nonlinear noise calculation in coherent optical OFDM systems. J. Op. Express 22(23), 28316–26 (2014)

    Article  Google Scholar 

  23. Uzunidis, D., Matrakidis, C., Stavdas, A.: An improved model for estimating the impact of FWM in coherent optical systems. J. Opt. Commun. 378, 22–27 (2016)

    Article  Google Scholar 

  24. Anjum, O.F.: Channel selective wavelength conversion by means of inter modal four wave mixing. In: Proceedings Optical Fiber Communications Conference and Exhibition, pp. 1–3. San Diego, CA, USA (2019)

  25. Poggiolini, P.: The GN-model of fiber non-linear propagation and its applications. J. Lightw. Technol. 32(4), 694–721 (2014)

    Article  Google Scholar 

  26. Purz, T.L., Martin, E.W., Wang, Z., Deng, H., Cundiff, S.T.: Measurement of excitation coherence lengths using multi-spatial-mode four-wave mixing. In: Proceedings of the Conference on Lasers and Electro-Optics, pp. 1–2. San Jose, CA, USA (2019)

  27. Johannisson, P., Agrell, E.: Modeling of nonlinear signal distortion in fiber-optic networks. J. Lightw. Technol. 32(23), 3942–3950 (2014)

    Article  Google Scholar 

  28. Qiao, Y.: Analytical expressions for the nonlinear interference in dispersion managed transmission coherent optical systems. J. Opt. Commun. 335, 116–125 (2015)

    Article  Google Scholar 

  29. Uzunidis, D., Matrakidis, C., Stavdas, A.: Comparison of simplified FWM expressions for coherent optical systems in both dispersion managed and un- managed fiber links. J. Lightw. Technol. 17(13), 2734–2740 (2017)

    Article  Google Scholar 

  30. Ashok, N.S., Goel, K.: Analysis of four wave mixing effect at different channel spacing in DWDM systems using edfa with single pump source. Int. J. Eng. Sci. 17, 382–389 (2016)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Farman Ali.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Ali, F., Muhammad, F., Habib, U. et al. Modeling and minimization of FWM effects in DWDM-based long-haul optical communication systems. Photon Netw Commun 41, 36–46 (2021). https://doi.org/10.1007/s11107-020-00913-9

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11107-020-00913-9

Keywords

Navigation