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Theoretical modeling of the dynamics of a semiconductor laser subject to double-reflector optical feedback

  • A. Bakry
  • S. Abdulrhmann
  • M. AhmedEmail author
Atoms, Molecules, Optics
  • 84 Downloads

Abstract

We theoretically model the dynamics of semiconductor lasers subject to the double-reflector feedback. The proposed model is a new modification of the time-delay rate equations of semiconductor lasers under the optical feedback to account for this type of the double-reflector feedback. We examine the influence of adding the second reflector to dynamical states induced by the single-reflector feedback: periodic oscillations, period doubling, and chaos. Regimes of both short and long external cavities are considered. The present analyses are done using the bifurcation diagram, temporal trajectory, phase portrait, and fast Fourier transform of the laser intensity. We show that adding the second reflector attracts the periodic and perioddoubling oscillations, and chaos induced by the first reflector to a route-to-continuous-wave operation. During this operation, the periodic-oscillation frequency increases with strengthening the optical feedback. We show that the chaos induced by the double-reflector feedback is more irregular than that induced by the single-reflector feedback. The power spectrum of this chaos state does not reflect information on the geometry of the optical system, which then has potential for use in chaotic (secure) optical data encryption.

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References

  1. 1.
    W. W. Tkach and A. R. Chraplyvy, IEEE J. Lightwave Technol. 4, 1655 (1986).ADSCrossRefGoogle Scholar
  2. 2.
    N. Schunk and K. Petermann, IEEE J. Quant. Electron. 24, 1242 (1988).ADSCrossRefGoogle Scholar
  3. 3.
    D. Lenstra, B. H. Verbeek, and A. J. den Boef, IEEE J. Quant. Electron. 21, 674 (1985).ADSCrossRefGoogle Scholar
  4. 4.
    G. C. Dente, P. S. Durkin, K. A. Wilson, and C. E. Moeller, IEEE J. Quant. Electron. 24, 2441 (1988).ADSCrossRefGoogle Scholar
  5. 5.
    J. Sacher, W. Elsasser, and E. O. Gobel, Phys. Rev. Lett. 63, 2224 (1989).ADSCrossRefGoogle Scholar
  6. 6.
    B. Tromborg and J. Mork, IEEE Photon. Technol. Lett. 2, 549 (1990).ADSCrossRefGoogle Scholar
  7. 7.
    J. Mork, J. Mork, and B. Tromborg, Phys. Rev. Lett. 65, 1999 (1990).ADSCrossRefGoogle Scholar
  8. 8.
    S. Abdulrhmann, M. Yamada, and M. Ahmed, Int. J. Num. Model. 24, 218 (2011).CrossRefGoogle Scholar
  9. 9.
    M. Ahmed, M. Yamada, and S. Abdulrhmann, Int. J. Num. Model. 22, 434 (2009).CrossRefGoogle Scholar
  10. 10.
    S. Abdulrhmann, M. Ahmed, and M. Yamada, Proc. SPIE 4986, 1 (2003).CrossRefGoogle Scholar
  11. 11.
    M. Ahmed and M. Yamada, J. Appl. Phys. 95, 7573 (2004).ADSCrossRefGoogle Scholar
  12. 12.
    R. Lang and K. Kobayashi, IEEE J. Quant. Electron. 16, 347 (1980).ADSCrossRefGoogle Scholar
  13. 13.
    S. Abdulrhmann, M. Ahmed, T. Okamoto, et al., IEEE J. Sel. Top. Quantum Electron. 9, 265 (2003).CrossRefGoogle Scholar
  14. 14.
    M. Ahmed, S. W. Z. Mahmoud, and M. Yamada, Int. J. Num. Model. 20, 117 (2007).CrossRefGoogle Scholar
  15. 15.
    S. Abdulrhmann, Turk. J. Phys. 36, 225 (2012).Google Scholar
  16. 16.
    M. Ahmed, A. Bakry, R. Altuwirqi, et al., Jpn. J. Appl. Phys. 52, 124103 (2013).ADSCrossRefGoogle Scholar
  17. 17.
    M. Ahmed, A. Bakry, R. Altuwirqi, et al., J. Eur. Opt. Soc. 8, 130064 (2013).CrossRefGoogle Scholar
  18. 18.
    G. P. Agrawal and T. M. Shen, J. Lightwave Technol. 4, 58 (1986).ADSCrossRefGoogle Scholar
  19. 19.
    Y. Hong, M. W. Leeand, and K. A. Shore, Proc. SPIE 5614, 72 (2004).ADSCrossRefGoogle Scholar
  20. 20.
    J. G. Wu, G. Q. Xia, and Z. M. Wu, Opt. Express 17, 20124 (2009).ADSCrossRefGoogle Scholar
  21. 21.
    A. Toppens and U. Parlitz, Phys. Rev. E 78, 016210 (2008).ADSCrossRefGoogle Scholar
  22. 22.
    M. Ahmed, Physica D 176, 212 (2003).ADSCrossRefGoogle Scholar
  23. 23.
    M. Yamada, Theory of Semiconductor Lasers (Springer, Tokyo, 2014), Chaps. 6,8.CrossRefGoogle Scholar
  24. 24.
    M. Ahmed, S. W. Z. Mahmoud, and M. Yamada, Eur. Phys. J. D 41, 175104 (2012).Google Scholar

Copyright information

© Pleiades Publishing, Inc. 2016

Authors and Affiliations

  1. 1.Department of Physics, Faculty of ScienceKing Abdulaziz University, 8020321589Saudi Arabia
  2. 2.Department of Physics, Faculty of SciencesJazan University, 114JazanSaudi Arabia
  3. 3.Department of Physics, Faculty of SciencesAssiut UniversityAssiutEgypt
  4. 4.Department of Physics, Faculty of SciencesMinia UniversityMiniaEgypt

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