Skip to main content
SpringerLink
Log in

Bistable and coexisting attractors in current modulated edge emitting semiconductor laser: control and microcontroller-based design

  • Published:
Optical and Quantum Electronics Aims and scope Submit manuscript

Abstract

This paper reports on the numerical analysis, control of coexisting attractors and microcontroller-based design of current modulated edge emitting semiconductor laser (CMEESL). The stability of equilibrium points of solitary edge emitting semiconductor laser found is investigated. By varying the amplitude of modulation current density, CMEESL displays periodic behaviors, period-doubling to chaotic behavior, bistability and coexistence between limit cycle and chaotic attractors. The coexistence between chaotic and limit cycle attractors is destroyed and controlled to a desired monostable trajectory by means of the linear augmentation method. In addition, a microcontroller-based circuit is also designed to indicate that CMEESL can be used in real applications. Microcontroller-based circuit outputs and numerical analysis results confirm each other.

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
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11

Similar content being viewed by others

References

  • Ainamon, C., Kingni, S.T., Kamdoum Tamba, V., Chabi Orou, J.B., Woafo, P.: Dynamics, circuitry implementation and control of an autonomous Helmholtz jerk oscillator. J. Control Autom. Electr. Syst. 30, 501–511 (2019)

    Article  Google Scholar 

  • Ashok, P., Madhan, M.G., Deepiha, P., Rimmya, C., Piramasubramanian, S.: An efficient chaotic optical signal generation scheme using gain lever effect in bi-section laser diodes. Opt. Commun. 475, 126202 (2020). https://doi.org/10.1016/j.optlastec.2020.106172

    Article  Google Scholar 

  • Baer, T.: Large-amplitude fluctuations due to longitudinal mode coupling in diode-pumped intracavity-doubled Nd:YAG lasers. J. Opt. Soc. Am. B 3, 1175–1180 (1986)

    Article  ADS  Google Scholar 

  • Bao, X., Li, Q., Wu, T., Deng, Y., Hu, M., Zeng, R.: WDM-based bidirectional chaotic communication for semiconductor lasers system with time delay concealment. Opt. Commun. 472, 125868–125878 (2020)

    Article  Google Scholar 

  • Chembo, Y., Woafo, P.: Stability analysis for the synchronization of semiconductor lasers with ultra-high frequency current modulation. Phys. Lett. A 308, 381–390 (2003)

    Article  ADS  Google Scholar 

  • Chuang, L., Fuhong, M., Qiusen, J., Hanyuan, M.: Extreme multistability analysis of memristor-based chaotic system and its application in image decryption. AIP Adv. 7, 125204–125219 (2017)

    Article  Google Scholar 

  • Eba, D.E., Mengue, A.D., Zobo, B.E.: Multiscroll chaotic attractors in optical injected semiconductor laser driven by a resonant tunneling diode current. Optik 121, 164740–164747 (2020)

    Article  ADS  Google Scholar 

  • Gelens, L., Beri, S., Van der Sande, G., Mezosi, G., Sorel, M., Danckaert, J., Verschaffelt, G.: Exploring multistability in semiconductor ring lasers: theory and Experiment. Phys. Rev. Lett. 102, 193904–193907 (2009)

    Article  ADS  Google Scholar 

  • Guangya, P., Fuhong, M.: Multistability analysis, circuit implementations and application in image encryption of a novel memristive chaotic circuit. Nonlinear Dyn. 90, 1607–1625 (2017)

    Article  Google Scholar 

  • He, X.Z., Li, K., Wang, C.: Time-varying economic dominance in financial markets: a bistable dynamics approach. Chaos 28, 055903–055921 (2018)

    Article  ADS  MathSciNet  Google Scholar 

  • Heinricht, P., Wetzel, B., O’Brien, S., Amann, A., Osborne, S.: Bistability in an injection locked two color laser with dual injection. Appl. Phys. Lett. 99, 011104–011106 (2011)

    Article  ADS  Google Scholar 

  • Jayaprasath, E., Wu, Z.M., Sivaraman, S., Hou, Y.S., Tang, X., Lin, X.D., Deng, T., Xia, G.Q.: Investigation of the effect of intra-cavity propagation delay in secure optical communication using chaotic semiconductors lasers. Photonics 6, 49–62 (2019)

    Article  Google Scholar 

  • Kamdoum Tamba, V., Fotsin, H.B.: Multistability and its control in a simple chaotic circuit with a pair of light-emitting diodes. Cybern. Phys. 6, 114–120 (2017)

    Google Scholar 

  • Lauterio-Cruz, J.S., Hernandez-Garcia, J.C., Filoteo-Razo, J.D., Estudillo-Ayala, J.M., Rajos-Laguna, R., Pottiez, O., Barron-Zambrano, J.H., Rostro-Gonzàlez, H.: A novel low-cost synchronous/asynchronous microcontroller-based pulsed laser. Electronics 8, 489–496 (2019)

    Article  Google Scholar 

  • Lee, E.K., Pang, H.S., Park, J.D., et al.: Bistability and chaos in an injection-locked semiconductor laser. Phys. Rev. A 47(1), 736–739 (1993)

    Article  ADS  Google Scholar 

  • Li, C., Sprott, J.C.: Multistability in the Lorenz system: a broken butterfly. Int. J. Bifurcation Chaos 24, 1450131–1450137 (2014)

    Article  ADS  MathSciNet  Google Scholar 

  • Li, C., Sprott, J.C., Thio, W.: Bistability in a hyperchaotic system witha line equilibrium. J. Exp. Theor. Phys. 118, 494–500 (2014)

    Article  ADS  Google Scholar 

  • Liu, Y., Li, X.Z., Cheung, R.C.C., Chan, S.C., Wong, H.: High-speed discrete Gaussian sampler with heterodyne chaotic laser inputs. IEEE Trans. Circuits Syst.-II Express Briefs 65, 794–798 (2018)

    Article  Google Scholar 

  • Liu, S., Jiang, N., Zhao, A., Zhang, Y., Qiu, K.: Secure optical communication based on cluster chaos synchronization in semiconductor lasers network. IEEE Access 8, 11872–11879 (2020)

    Article  Google Scholar 

  • Lynch, S.: Multistability, bistability and chaos control. Nonlinear Anal.-Theor. 47, 4501–4512 (2001)

    Article  MathSciNet  Google Scholar 

  • Mortu, S., Nofiele, B., Marquié, P.: On the use of multistability for image processing. Phys. Lett. A 367, 192–198 (2007)

    Article  ADS  Google Scholar 

  • Mu, X., Yan, Z., Yu, Y., Yan, H., Han, D.: A tunable self-mixing chaotic laser based on high frequency electro-optic modulation. Opt. Laser Technol. 127, 106172–106178 (2020)

    Article  Google Scholar 

  • Pisarchik, A.N., Feudel, U.: Control of multistability. Phys. Rep. 540, 167–218 (2014)

    Article  ADS  MathSciNet  Google Scholar 

  • Ran, Z., Yuan, X.-J.: Nonlinear dynamical systems and bistability in linearly forced isotropic turbulence. Acta. Mech. Sin. 29, 823–826 (2013)

    Article  ADS  MathSciNet  Google Scholar 

  • Sharma, P.R., Shrimali, M.D., Prasad, A., Feudel, U.: Controlling bistability by linear augmentation. Phys. Lett. A 377, 2329–2332 (2013)

    Article  ADS  MathSciNet  Google Scholar 

  • Sharma, P.R., Shrimali, M.D., Prasad, A., Kuznetsov, N.V., Leonov, G.A.: Control of multistability in hidden attractors. Eur. Phys. J. Special Topics 224, 1485–1491 (2015)

    Article  ADS  Google Scholar 

  • Wang, W., Min Hwang, T., Juang, C., Juang, J., Yueh Liu, C., Wei Lin, W.: Chaotic behaviors of bistable laser diodes and its application in synchronization of optical communication. Jpn. J. Appl. Phys. 40, 5914–5919 (2001)

    Article  ADS  Google Scholar 

  • Xie, Y.-Y., Lin, X.-D., Deng, T., Wu, Z.-M., Fan, L., Zhong, Z.-Q., Xia, G.-Q.: Experimental observation of current-induced bistability in a semiconductor laser With positive optoelectronic feedback. IEEE Photon. Technol. Lett. 24, 1434–1436 (2012)

    Article  ADS  Google Scholar 

  • Yang, F., Mou, J., Ma, C., Cao, Y.: Dynamics analysis of an improper fractional-order laser chaotic system and its image encryption applications. Opt. Laser Eng. 129, 106031–106046 (2020)

    Article  Google Scholar 

  • Zhao, Z., Cheng, M., Luo, C., Deng, L., Zhang, M., Fu, S., Tang, M., Shum, P., Liu, D.: Synchronized random bit sequences generation based on analog-digital hybrid electro-optic chaotic sources. J. Lightwave Technol. 36, 4995–5002 (2018)

    Article  ADS  Google Scholar 

Download references

Acknowledgements

Z.W. is supportted by the fundamental research funds for the central universities, China university of geosciences Wuhan (CUGGC05).

Author information

Authors and Affiliations

  1. Department of Physics, College of Education, Nyala University, P.O. Box: 155, Nyala, Sudan

    Nasr Saeed

  2. Department of Electronic and Automation, Vocational School of Hacıbektaş, Nevşehir Hacı Bektaş Veli University, 50800, Hacıbektaş, Nevşehir, Turkey

    Serdar Çiçek

  3. Department of Basic Science, School of Geology and Mining Engineering, University of Ngaoundere, P.O. Box: 115, Meiganga, Cameroon

    André Cheage Chamgoué

  4. Department of Mechanical, Petroleum and Gas Engineering, Faculty of Mines and Petroleum Industries, University of Maroua, P.O. Box 46, Maroua, Cameroon

    Sifeu Takougang Kingni

  5. School of Mathematics and Physics, China University of Geosciences, Wuhan, 430074, China

    Sifeu Takougang Kingni & Zhouchao Wei

  6. Center for Nonlinear Systems, Chennai Institute of Technology, Chennai, 600069, India

    Sifeu Takougang Kingni

Authors
  1. Nasr Saeed
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Serdar Çiçek
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. André Cheage Chamgoué
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Sifeu Takougang Kingni
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. Zhouchao Wei
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Sifeu Takougang Kingni.

Additional information

Publisher's Note

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

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Saeed, N., Çiçek, S., Chamgoué, A.C. et al. Bistable and coexisting attractors in current modulated edge emitting semiconductor laser: control and microcontroller-based design. Opt Quant Electron 53, 333 (2021). https://doi.org/10.1007/s11082-021-02979-9

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s11082-021-02979-9

Keywords

Search

Navigation