Skip to main content
SpringerLink
Log in

Frequency domain analysis of the chaotic synchronization of injection-locked semiconductor lasers

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

Abstract

The quality and degree of synchronization obtained between a chaotic master laser diode and a slave laser diode is usually assessed using a correlogram. This technique is known to accurately identify areas of good synchronization, but it is not able to elucidate why these regions exist. By using a complementary frequency domain technique, the response gain, we have been able to obtain further insight into the synchronization process. We show using numerical simulations that trends in synchronization quality evident in the injection-locking diagram are also present in the response gain. We also show that most of the spectral power is situated in a small band of frequencies close to the relaxation oscillation frequency of the master laser and that accurate reproduction of these frequency components in the slave laser is vital in achieving a good synchronization. We associate the variation in synchronization quality within the injection-locking regime to changes in the response gain profile induced by the optical injection from the master laser. Variations in the spectral profile of the response gain clearly delineate and explain the various regions seen in the correlation synchronization diagram.

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

Similar content being viewed by others

References

  • Ahlers, V., Parlitz, U., Lauterborn, W.: Hyperchaotic dynamics and synchronization of external-cavity semiconductor lasers. Phys. Rev. E 58(6), 7208–7213 (1998)

    Article  ADS  Google Scholar 

  • Argyris, A., Syvridis, D., Larger, L., Annovazzi-Lodi, V., Colet, P., Fischer, I., Garcfa-Ojalvo, J., Mirasso, C.R., Pesquera, L., Shore, K.A.: Chaos-based communications at high bit rates using commercial fibre-optic links. Nature 438, 343–346 (2005)

    Article  ADS  Google Scholar 

  • Cuomo, K.M., Oppenheim, A.V.: Circuit implementation of synchronized chaos with applications to communications. Phys. Rev. Lett. 71(1), 65–68 (1993)

    Article  ADS  Google Scholar 

  • Koryukin, I.V., Mandel, P.: Two regimes of synchronization in unidirectionally coupled semiconductor lasers. Phys. Rev. E 65(2), 026201 (2002)

    Article  ADS  Google Scholar 

  • Lang, R., Kobayashi, K.: External optical feedback effects on semiconductor injection properties. IEEE J. Quantum Electron. 16, 347–355 (1980)

    Article  ADS  Google Scholar 

  • Liu, Y., Davis, P., Takiguchi, Y., Aida, T., Saito, S., Liu, J.-M.: Injection locking and synchronization of periodic and chaotic signals in semiconductor lasers. IEEE J. Quantum Electron. 39, 269–277 (2003)

    Article  ADS  Google Scholar 

  • Locquet, A., Rogister, F., Sciamanna, M., Megret, P., Blondel, M.: Two types of synchronization regimes in unidirectionally coupled chaotic external-cavity semiconductor lasers. Phys. Rev. E 64, 045203 (2001)

    Article  ADS  Google Scholar 

  • Locquet, A., Masoller, C., Mirasso, C.R.: Synchronization regimes of optical-feedback-induced chaos in unidirectionally coupled semiconductor lasers. Phys. Rev. E 65(5), 056205 (2002)

    Article  ADS  Google Scholar 

  • Masoller, C.: Anticipation in synchronization of chaotic semiconductor lasers with optical feedback. Phys. Rev. Lett. 86, 2782–2785 (2001)

    Article  ADS  Google Scholar 

  • Murakami, A., Kawashima, K., Atsuki, K.: Cavity resonance shift and bandwidth enhancement in semiconductor lasers with strong light injection. IEEE J. Quantum Electron. 39, 1196–1204 (2003)

    Article  ADS  Google Scholar 

  • Ohtsubo, J.: Chaos synchronization and chaotic signal masking in semiconductor lasers with optical feedback. IEEE J. Quantum Electron. 38, 1141–1154 (2002)

    Article  ADS  Google Scholar 

  • Paul, J., Lee, M.W., Shore, K.A.: Effect of chaos pass filtering on message decoding quality using chaotic external-cavity laser diodes. Opt. Lett. 29, 2497–2499 (2004)

    Article  ADS  Google Scholar 

  • Peters-Flynn, S., Spencer, P.S., Sivaprakasam, S., Pierce, I., Shore, K.A.: Identification of the optimum time-delay for chaos synchronization regimes of semiconductor lasers. IEEE J. Quantum Electron. 42, 427–434 (2006)

    Article  ADS  Google Scholar 

  • Revuelta, J., Mirasso, C.R., Colet, P., Pesquera, L.: Criteria for synchronization of coupled chaotic external-cavity semiconductor lasers. IEEE Photonics Technol. Lett. 14, 140–142 (2002)

    Article  Google Scholar 

  • Shahverdiev, E.M., Shore, K.A.: Generalized synchronization in time-delayed systems. Phys. Rev. E 71, 016201 (2005)

    Article  ADS  Google Scholar 

  • Shahverdiev, E.M., Sivaprakasam, S., Shore, K.A.: Lag synchronization in time-delayed systems. Phys. Lett. A 292, 320–324 (2002)

    Article  MATH  ADS  Google Scholar 

  • Sivaprakasam, S., Shahverdiev, E.M., Spencer, P.S., Shore, K.A.: Experimental demonstration of anticipating synchronization in chaotic semiconductor lasers with optical feedback. Phys. Rev. Lett. 87(15), 154101 (2001)

    Article  ADS  Google Scholar 

  • VanWiggeren, G.D., Roy, R.: Optical communication with chaotic waveforms. Phys. Rev. Lett. 81(16), 3547–3550 (1998a)

    Article  ADS  Google Scholar 

  • VanWiggeren, G.D., Roy, R.: Communication with chaotic lasers. Science 279, 1198–1200 (1998b)

    Article  ADS  Google Scholar 

  • Vicente, R., Perez, T., Mirasso, C.R.: Open- versus closed loop performance of synchronized chaotic external cavity semiconductor lasers. IEEE J. Quantum Electron. 38, 1197–1204 (2002)

    Article  ADS  Google Scholar 

  • Voss, H.U.: Anticipating chaotic synchronization. Phys. Rev. E 61(5), 5115–5119 (2000)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. School of Electronic Engineering, Bangor University, Dean Street, Bangor, Gwynedd, LL57 1UT, UK

    Sam J. Lea & Paul S. Spencer

Authors
  1. Sam J. Lea
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Paul S. Spencer
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Sam J. Lea.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Lea, S.J., Spencer, P.S. Frequency domain analysis of the chaotic synchronization of injection-locked semiconductor lasers. Opt Quant Electron 40, 97–108 (2008). https://doi.org/10.1007/s11082-008-9209-6

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11082-008-9209-6

Keywords

Search

Navigation