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

Thiery Tchinda; Zeric Njitacke; Theophile Fozin Fonzin; Hilaire Fotsin

doi:doi:10.11648/j.cssp.20190802.15

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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

Thiery Tchinda, Zeric Njitacke, Theophile Fozin Fonzin, Hilaire Fotsin

Published in Science Journal of Circuits, Systems and Signal Processing (Volume 8, Issue 2)

Received: 14 November 2019 Accepted: 11 December 2019 Published: 25 December 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.

Published in	Science Journal of Circuits, Systems and Signal Processing (Volume 8, Issue 2)
DOI	10.11648/j.cssp.20190802.15
Page(s)	66-75
Creative Commons	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), 2019. Published by Science Publishing Group

Keywords

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

References

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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://article.sciencepublishinggroup.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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TY  - JOUR
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
PY  - 2019
N1  - https://doi.org/10.11648/j.cssp.20190802.15
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
SP  - 66
EP  - 75
PB  - Science Publishing Group
SN  - 2326-9073
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

Thiery Tchinda

Department of Physics, Faculty of Sciences, University of Dschang, Dschang, Cameroon
Zeric Njitacke

Department of Physics, Faculty of Sciences, University of Dschang, Dschang, Cameroon
Theophile Fozin Fonzin

Department of Physics, Faculty of Sciences, University of Dschang, Dschang, Cameroon
Hilaire Fotsin

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

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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

Copy | Download

@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://article.sciencepublishinggroup.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}
}

Copy | Download

TY  - JOUR
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
PY  - 2019
N1  - https://doi.org/10.11648/j.cssp.20190802.15
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
SP  - 66
EP  - 75
PB  - Science Publishing Group
SN  - 2326-9073
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  -

Copy | Download