Skip to main content
Log in

Generalization of Superfast LayerPeeling Methods to the Manakov System

  • Published:
Moscow University Physics Bulletin Aims and scope

Abstract

In the practical design of fiber-optic communication lines, one important parameter is the computational complexity of the method that is used, since the speed and energy efficiency of the receiving device directly depend on this parameter. From an engineering point of view, the methods should be comparable in speed with a linear equalizer, whose computational complexity is \(\Theta(N\log_{2}N)\) operations, where \(N\) is the number of time grid nodes. The subject of this work is a generalization of superfast (\(\Theta(N\log_{2}^{2}N)\) arithmetic operations) LayerPeeling and InverseLayerPeeling methods developed for the nonlinear Schrödinger equation for the Manakov system of equations. In this paper the LayerPeeling family algorithms were generalized to the case of double polarization system governed by the Manakov system of equations.

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.

Fig. 1
Fig. 2
Fig. 3

Similar content being viewed by others

REFERENCES

  1. E. Agrell et al., J. Opt. 18, 063002 (2016).

    Article  ADS  Google Scholar 

  2. P. P. Mitra and J. B. Stark, Nature 411 (6841), 1027 (2001).

    Article  ADS  Google Scholar 

  3. G. P. Agrawal, ‘‘Nonlinear fiber optics,’’ Nonlinear Science at the Dawn of the 21st Century (Springer, Berlin, 2000), p. 195.

    Google Scholar 

  4. Y. Gao et al., Opt. Express 22, 1209 (2014).

    Article  ADS  Google Scholar 

  5. S. Gaiarin, A. M. Perego, E. P. Silva, et al., Optica 5, 263 (2018).

    Article  ADS  Google Scholar 

  6. J. W. Goossens, M. I. Yousefi, Y. Jaouen, and H. Ha- fermann, Opt. Express 25, 26437 (2017).

    Article  ADS  Google Scholar 

  7. S. Civelli, S. K. Turitsyn, M. Secondini, and J. E. Pri- lepsky, Opt. Express 26, 17360 (2018).

    Article  ADS  Google Scholar 

  8. F. P. Guiomar and A. N. Pinto, J. Lightwave Technol. 31, 3879 (2013).

    Article  ADS  Google Scholar 

  9. L. Liu et al., J. Lightwave Technol. 30, 310 (2011).

    Article  ADS  Google Scholar 

  10. M. P. Fedoruk and O. S. Sidel’nikov, Vychisl. Tekhnol. 20 (5), 105 (2015).

    Google Scholar 

  11. G. L. Lamb, Elements of Soliton Theory (Wiley, New York, 1980), Vol. 4.

    MATH  Google Scholar 

  12. V. Vaibhav, Phys. Rev. E 96, 063302 (2017).

    Article  ADS  MathSciNet  Google Scholar 

  13. M. J. Ablowitz and H. Segur, Solitons and the Inverse Scattering Transform (Cambridge Univ. Press, Cambridge, 1981).

    Book  Google Scholar 

  14. V. E. Zakharov, S. V. Manakov, S. P. Novikov, and L. P. Pitaevskii, Theory of Solitons: The Inverse Scattering Method (Nauka, Moscow, 1980; Springer, Berlin, 1984).

Download references

Author information

Authors and Affiliations

Authors

Corresponding authors

Correspondence to A. S. Dolmatov or D. A. Konyaev.

Additional information

Translated by T. N. Sokolova

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Dolmatov, A.S., Konyaev, D.A. Generalization of Superfast LayerPeeling Methods to the Manakov System. Moscow Univ. Phys. 77, 23–30 (2022). https://doi.org/10.3103/S0027134922010258

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.3103/S0027134922010258

Keywords:

Navigation