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Analysis of multichannel optical soliton collisions with asymmetric energy in strongly dispersion managed transmission networks considering higher-order effects

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Abstract

We study the interaction properties of optical soliton pulses propagating in a two-channel wavelength-division multiplexed strongly dispersion managed communication system. We analyze the effects of third order dispersion, Raman scattering and self-steepening using an ordinary differential equations model obtained by a variational method applied to the Generalized Nonlinear Schrödinger Equation. The validity of the model is assessed against the integration of the full nonlinear partial differential equations. The variational equations are initially solved for a single pulse in order to identify the launching parameters for each pulse in the first DM cell of the system. One pulse per wavelength is then injected in the transmission link. We then systematically study the evolution of multiplexed soliton trains and analyse the transmission system in terms of residual frequency shifts and interchannel interactions as the map strength is varied, focusing on the ratio of dissimilar peak powers in a broad range of dispersion difference values, concluding that the transmission characteristics improve by using specific values of unequal energies and considering higher-order correction terms. The work presented is an extension of previous analysis where isolated intra-channel two-pulse interactions had been addressed considering pulses with dissimilar energies.

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References

  • Anderson, D.: Variational approach to nonlinear pulse propagation in optical fibers. Phys. Rev. A 27, 3135–3145 (1983)

    Article  ADS  Google Scholar 

  • Diaz-Otero, F.J., Chamorro-Posada, P., Garcia-Escartin, J.C.: Dispersion-managed soliton interactions in the presence of third-order dispersion. In: II International Conference on Advanced Optoelectronics and Lasers, CAOL Proceedings, pp. 1531–1555 (2005)

  • Diaz-Otero, F.J., Guillan-Lorenzo, O., Pedrosa-Rodriguez, L.: Higher-order interaction-induced effects between strong dispersion-managed solitons with dissimilar powers. J. Opt. Soc. Am. B 31, 2667–2672 (2017a)

    Article  ADS  Google Scholar 

  • Diaz-Otero, F.J., Guillan-Lorenzo, O., Pedrosa-Rodriguez, L.: Evaluation of the impact of higher-order energy enhancement characteristics of solitons in strongly dispersion-managed optical fibers. Chaos, Solitons Fractals 99, 278–284 (2017b)

    Article  ADS  MathSciNet  Google Scholar 

  • Gabitov, I., Shapiro, E.G., Turitsyn, S.K.: Optical pulse dynamics in fiber links with dispersion compensation. Opt. Commun. 134, 317–329 (1997)

    Article  ADS  Google Scholar 

  • Hizanidis, K., Malomed, B.A., Nistazakis, H., Frantzeskakis, D.: Stabilizing soliton transmission by third-order dispersion in dispersion-compensated fibre links. Pure Appl. Opt. 7, 57–62 (1998)

    Article  ADS  Google Scholar 

  • Inoue, T., Sugahara, H., Maruta, A., Kodama, Y.: Interactions between dispersion managed solitons in optical-time-division-multiplexed systems. IEEE Photonics Technol. Lett. 12, 299–301 (2000)

    Article  ADS  Google Scholar 

  • Istrin, O., Malomed, B.A.: Interactions between dispersion-managed solitons with unequal powers. J. Opt. Soc. Am. B 27, 844–851 (2010)

    Article  ADS  Google Scholar 

  • Lakoba, T., Agrawal, G.: Effects of third-order dispersion on dispersion-managed solitons. J. Opt. Soc. Am. B 16, 1332–1343 (1999)

    Article  ADS  Google Scholar 

  • Malomed, B.A.: Soliton Management in Periodic Systems. Springer, New York (2006)

    MATH  Google Scholar 

  • Mollenauer, L.F., Gordon, J.P.: Solitons in Optical Fibers: Fundamentals and Applications. Elsevier, Amsterdam (2006)

    Google Scholar 

  • Mookherjea, S., Yariv, A.: Hamiltonian dynamics of breathers with third-order dispersion. J. Opt. Soc. Am. B 18, 1150–1155 (2001)

    Article  ADS  MathSciNet  Google Scholar 

  • Sugahara, H., Maruta, A., Kodama, Y.: Optimal allocation of amplifiers in a dispersion-managed line for a wavelength-division-multiplexed soliton transmission system. Opt. Lett. 24, 145–147 (1999)

    Article  ADS  Google Scholar 

  • Wald, M., Malomed, B.A., Lederer, F.: Interaction of moderately dispersion-managed solitons. Opt. Commun. 172, 31–36 (1999)

    Article  ADS  Google Scholar 

Download references

Acknowledgements

This work has received financial support from the Xunta de Galicia (Agrupación Estratéxica Consolidada de Galicia accreditation 2016–2019) and the European Union (European Regional Development Fund - ERDF).

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Authors and Affiliations

  1. Departamento de Teoría de la Señal y Comunicaciones, University of Vigo ETSI Telecomunicación, Campus Universitario s/n, 36310, Vigo, Spain

    O. Guillan-Lorenzo, L. Pedrosa-Rodriguez, P. Vilar-Gomez & F. J. Diaz-Otero

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  1. O. Guillan-Lorenzo
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  2. L. Pedrosa-Rodriguez
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  3. P. Vilar-Gomez
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  4. F. J. Diaz-Otero
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Correspondence to F. J. Diaz-Otero.

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Guillan-Lorenzo, O., Pedrosa-Rodriguez, L., Vilar-Gomez, P. et al. Analysis of multichannel optical soliton collisions with asymmetric energy in strongly dispersion managed transmission networks considering higher-order effects. Opt Quant Electron 50, 381 (2018). https://doi.org/10.1007/s11082-018-1650-6

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  • DOI: https://doi.org/10.1007/s11082-018-1650-6

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