Skip to main content
SpringerLink
Log in

Modulation instability in inhomogenous nonlinear optical fiber

  • Original Paper
  • Published:
Indian Journal of Physics Aims and scope Submit manuscript

Abstract

We investigate the Modulation Instability in inhomogenous nonlinear optical fiber having higher-order effects and external potential, governed by the variable-coeffcients Hirota equation. The inhomogeneities are traduced by space dependent Group Velocity Dispersion and Kerr coefficients. A new skill of dispersion management is used, which consists of continuous spatial variation of the dispersion coefficient instead of discrete variation that used to be taken from one positive value to a negative value alternatively. Continuous distribution of dispersion is considered in four patherns: sinusoidal function, triangular Fourrier series function, rectangular Fourrier series function and saw tooth Fourrier series function. From the continuous wave analysis, it appears that the MI gain is space dependent. The numerical analysis reveals that the MI gain varies similarly to the dispersion function.

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

Access this article

Log in via an institution

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

Similar content being viewed by others

References

  1. R Carretero-Gonzalez and D Frantzeskakis Nonlinearity 21 7 139 (2008)

    Article  MathSciNet  Google Scholar 

  2. Y S Kivshar and G P Agrawal Optical Solitons: From Fibers to Photonic Crystals, 1st edn. (California: Academic Press) (2003)

    Google Scholar 

  3. G P Agrawal Nonlinear Fiber Optics, 4th edn. (California: Academic Press) (2007)

    Google Scholar 

  4. B Malomed Encyclopedia of Nonlinear Science (New York: Routledge) A. Scott 639 (2005)

  5. F DeMartini, C H Townes, T K Gustafson and P L Kelley Phys. Rev. 164 312 (1967)

    Article  ADS  Google Scholar 

  6. D Grischkowsky, E Kevrekidis and Amstrong Phys. Rev. Lett. 31 422 (1973)

    Article  ADS  Google Scholar 

  7. N Tzoar and M A Jain Phys. Rev. A 23 1266 (1981)

    Article  ADS  Google Scholar 

  8. F M Mitschke and L F Mollenauer Opt. Lett. 11 659 (1986)

    Article  ADS  Google Scholar 

  9. R Hirota J. Math. Phys. 14 805 (1973)

    Article  ADS  Google Scholar 

  10. D J Kaup and A C Newell J. Math. Phys. 19 4 798 (1978)

    Article  ADS  Google Scholar 

  11. P Wong, L Wen-Jun, H Long-Gang, L Yan-Qing, P Nan and L Ming Phys. Rev. E 91 033201 (2015)

    Article  MathSciNet  ADS  Google Scholar 

  12. G P Agrawal Nonlinear Fiber Optics, 3rd edn. (California: Academic Press) (2001)

    Google Scholar 

  13. B R Suydam, The Supercontinuum Laser Source (New York: Springer) (Second edition) R Alfano 295 (2006)

  14. L Qihuai, L Wenye, P Torres, W H Kaup and A C Newell Appl. Anal. 99 3 407 (2020)

    Article  MathSciNet  Google Scholar 

  15. M A Porter, P Kevrekidis, B A Malomed et al Physica D 229 2 104 (2007)

    Article  MathSciNet  ADS  Google Scholar 

  16. Q Liu and D Qian J. Math. Phys. 52 8 082702 (2011)

    Article  MathSciNet  ADS  Google Scholar 

  17. P J Torres Phys. Lett. A 378 45 3285 (2014)

    Article  MathSciNet  ADS  Google Scholar 

  18. L Jia, Q Liu and Z Ma Commun. Nonlinear Sci. Numer. Simul. 19 8 2715 (2014)

    Article  MathSciNet  ADS  Google Scholar 

  19. L LeiWang, J Zhang, C Liu, M Li and F Qi Phys. Rev. E 93 2217 (2016)

    Google Scholar 

  20. T B Benjamin and J Feir J. Fluid Mech. 27 417 (1967)

    Article  ADS  Google Scholar 

  21. V Zakharov and L Ostrovsky Physica D 238 540 (2009)

    Article  MathSciNet  ADS  Google Scholar 

  22. A Hasegawa Opt. Lett. 9 288 (1984)

    Article  ADS  Google Scholar 

  23. S Shamseldeen and M Abdel Latif Mod. Phys. Lett. B 35 10 2050407 (2021)

    Article  Google Scholar 

  24. W Shi Zhaqilo Nonlinear Dyn. 109 2979 (2022)

    Article  Google Scholar 

  25. S Ali and M Younis Front. Phys. 7 255 (2020)

    Article  Google Scholar 

  26. X Li and H M Basconus Results Phys. 25 104303 (2021)

    Article  Google Scholar 

  27. J Garnier and F Abdullaev Physica D Nonlinear Phenom. 145 65 (2020)

    Article  ADS  Google Scholar 

  28. K Tajima Opt. Lett. 12 54 (1987)

    Article  ADS  Google Scholar 

  29. V A Bogatyrev et al. J. Lightw. Technol. 9 561 (1991)

    Article  ADS  Google Scholar 

  30. P V Mamyshev, S V Chernikov and E M Dianov IEEE J. Quantum Electr. 27 561 2347 (1991)

    Article  ADS  Google Scholar 

  31. A Mussot, M Conforti, S Trillo, F Copie and A Kudlinsky Adv. Opt. Photon. 10 1 (2018)

    Article  Google Scholar 

  32. F Copie, A Kudlinski, M Conforti, G Martinelli and A Mussot Opt. Express 23 4 (2015)

    Article  Google Scholar 

Download references

Acknowledgements

Roger Bertin Djob acknowledges the Coimbra Group Scholarship Programme for young researchers and the Department of Applied Mathematics of the University of Granada in Spain for the warm welcoming and stay with fruitful exchanges.

Author information

Authors and Affiliations

  1. Faculty of Engineering and Technology, University of Buea, P.O. Box 63, Buea, Cameroon

    Roger Bertin Djob

  2. Complex and Nonlinear Dynamics Systems Group, University of Yaoundé 1, P.O. Box 812, Yaoundé, Cameroon

    Roger Bertin Djob & Aurélien Kenfack-Jiotsa

Authors
  1. Roger Bertin Djob
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Aurélien Kenfack-Jiotsa
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Roger Bertin Djob.

Additional information

Publisher's Note

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

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Djob, R.B., Kenfack-Jiotsa, A. Modulation instability in inhomogenous nonlinear optical fiber. Indian J Phys 98, 319–325 (2024). https://doi.org/10.1007/s12648-023-02782-0

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12648-023-02782-0

Keywords

Search

Navigation