Science Journal of Circuits, Systems and Signal Processing

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Dynamics of an Optically Injected Diode Laser Subject to Periodic Perturbation: Occurrence of a Large Number of Attractors, Bistability and Metastable Chaos

Received: Nov. 14, 2019    Accepted: Dec. 11, 2019    Published: Dec. 25, 2019
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Abstract

It is well known that during a certain interval of time, a molecule of gas in the beam path from the pump laser (master) to the injected laser (slave) can decrease the power injected [1]. In this contribution, we consider a well-known rate equation model of semiconductor laser to explore numerically the effect of a periodic perturbation from the pump laser (master) on the dynamical behavior of the injected laser (slave). Using nonlinear diagnostic tools such bifurcation diagrams, graph of maximum Lyapunov exponent, phase portraits, Poincare sections, basin of attraction and two parameter diagrams, the dynamical behavior of the model is analyzed in terms of its parameters. The coexistence of periodic and chaotic attractors as well as the occurrence of ten different attractors (symmetric and asymmetric) and transient chaos are demonstrated. Finally, PSpice simulations are performed to support numerical results.

DOI 10.11648/j.cssp.20190802.15
Published in Science Journal of Circuits, Systems and Signal Processing ( Volume 8, Issue 2, December 2019 )
Page(s) 66-75
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This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Laser Model, Occurrence of Attractors, Bifurcation Analysis, Bistability Metastable, Circuit Emulator

References
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[2] B. Bao, H. Qian, J. Wang, Q. Xu, M. Chen, H. Wu and Y. Yu «Numerical analyses and experimental validations of coexisting multiple attractors in Hopfield neural network » Nonlinear Dyn, vol. 3, 2017. K. Elissa, “Title of paper if known,” unpublished.
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[10] A. Ngo Mouelas, T. Fonzin Fozin, R. Kengne, J. Kengne, H. B. Fotsin and B. Z. Essimbi «Extremely rich dynamical behaviors in a simple nonautonomous Jerk system with generalized nonlinearity: hyperchaos, intermittency, offset-boosting and multistability» Int. J. of Dyn and Control, 10, 2019.
[11] C. Harder, J. Katz, S. Margalit, J. Shacham and A. Yariv «Noise equivalent circuit of semiconductor laser diode» IEEE. J. of Quantum Elect, vol. 18, n° 3, 5 pp, 1982.
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[14] F. Gustave, L. Columbo, G. Tissoni, M. Brambilla, F. Prati and S. Barland «Phase solitons and domain dynamics in an optically injected semiconductor laser» Phys. Rev A, vol. 93, 10 pp, 2016.
[15] A. Pimenov, E. A. Viktorov, S. P. Hegarty, T. Habruseva, G. Huyet, D. Rachinskii and A. G. Vladimirov «Bistability and hysteresis in an optically injected two-section semiconductor laser» Phys. Rev E, vol. 89, 7 pp, 2014.
[16] M. S. Pramod, T. Yang, K. Pandey, M. Giudici and D. Wilkowski «Selective injection locking of a multi-mode semiconductor laser to a multi-frequency reference beam» Eur. Phys. J. D, vol. 68, 5 pp, 2014.
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  • APA Style

    Thiery Tchinda, Zeric Njitacke, Theophile Fozin Fonzin, Hilaire Fotsin. (2019). Dynamics of an Optically Injected Diode Laser Subject to Periodic Perturbation: Occurrence of a Large Number of Attractors, Bistability and Metastable Chaos. Science Journal of Circuits, Systems and Signal Processing, 8(2), 66-75. https://doi.org/10.11648/j.cssp.20190802.15

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    ACS Style

    Thiery Tchinda; Zeric Njitacke; Theophile Fozin Fonzin; Hilaire Fotsin. Dynamics of an Optically Injected Diode Laser Subject to Periodic Perturbation: Occurrence of a Large Number of Attractors, Bistability and Metastable Chaos. Sci. J. Circuits Syst. Signal Process. 2019, 8(2), 66-75. doi: 10.11648/j.cssp.20190802.15

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    AMA Style

    Thiery Tchinda, Zeric Njitacke, Theophile Fozin Fonzin, Hilaire Fotsin. Dynamics of an Optically Injected Diode Laser Subject to Periodic Perturbation: Occurrence of a Large Number of Attractors, Bistability and Metastable Chaos. Sci J Circuits Syst Signal Process. 2019;8(2):66-75. doi: 10.11648/j.cssp.20190802.15

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  • @article{10.11648/j.cssp.20190802.15,
      author = {Thiery Tchinda and Zeric Njitacke and Theophile Fozin Fonzin and Hilaire Fotsin},
      title = {Dynamics of an Optically Injected Diode Laser Subject to Periodic Perturbation: Occurrence of a Large Number of Attractors, Bistability and Metastable Chaos},
      journal = {Science Journal of Circuits, Systems and Signal Processing},
      volume = {8},
      number = {2},
      pages = {66-75},
      doi = {10.11648/j.cssp.20190802.15},
      url = {https://doi.org/10.11648/j.cssp.20190802.15},
      eprint = {https://download.sciencepg.com/pdf/10.11648.j.cssp.20190802.15},
      abstract = {It is well known that during a certain interval of time, a molecule of gas in the beam path from the pump laser (master) to the injected laser (slave) can decrease the power injected [1]. In this contribution, we consider a well-known rate equation model of semiconductor laser to explore numerically the effect of a periodic perturbation from the pump laser (master) on the dynamical behavior of the injected laser (slave). Using nonlinear diagnostic tools such bifurcation diagrams, graph of maximum Lyapunov exponent, phase portraits, Poincare sections, basin of attraction and two parameter diagrams, the dynamical behavior of the model is analyzed in terms of its parameters. The coexistence of periodic and chaotic attractors as well as the occurrence of ten different attractors (symmetric and asymmetric) and transient chaos are demonstrated. Finally, PSpice simulations are performed to support numerical results.},
     year = {2019}
    }
    

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    T1  - Dynamics of an Optically Injected Diode Laser Subject to Periodic Perturbation: Occurrence of a Large Number of Attractors, Bistability and Metastable Chaos
    AU  - Thiery Tchinda
    AU  - Zeric Njitacke
    AU  - Theophile Fozin Fonzin
    AU  - Hilaire Fotsin
    Y1  - 2019/12/25
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    DO  - 10.11648/j.cssp.20190802.15
    T2  - Science Journal of Circuits, Systems and Signal Processing
    JF  - Science Journal of Circuits, Systems and Signal Processing
    JO  - Science Journal of Circuits, Systems and Signal Processing
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    PB  - Science Publishing Group
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    UR  - https://doi.org/10.11648/j.cssp.20190802.15
    AB  - It is well known that during a certain interval of time, a molecule of gas in the beam path from the pump laser (master) to the injected laser (slave) can decrease the power injected [1]. In this contribution, we consider a well-known rate equation model of semiconductor laser to explore numerically the effect of a periodic perturbation from the pump laser (master) on the dynamical behavior of the injected laser (slave). Using nonlinear diagnostic tools such bifurcation diagrams, graph of maximum Lyapunov exponent, phase portraits, Poincare sections, basin of attraction and two parameter diagrams, the dynamical behavior of the model is analyzed in terms of its parameters. The coexistence of periodic and chaotic attractors as well as the occurrence of ten different attractors (symmetric and asymmetric) and transient chaos are demonstrated. Finally, PSpice simulations are performed to support numerical results.
    VL  - 8
    IS  - 2
    ER  - 

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Author Information
  • Department of Physics, Faculty of Sciences, University of Dschang, Dschang, Cameroon

  • Department of Physics, Faculty of Sciences, University of Dschang, Dschang, Cameroon

  • Department of Physics, Faculty of Sciences, University of Dschang, Dschang, Cameroon

  • Department of Physics, Faculty of Sciences, University of Dschang, Dschang, Cameroon

  • Section