Abstract

We study numerically the synchronization of external-cavity semiconductor lasers in a master–slave configuration, based on a Lang–Kobayashi-type model. Depending on the feedback and coupling strengths, the slave laser synchronizes with the injected optical field or with the injected field but lags in time. We show that these two types of synchronization present different robustness with respect to the noise, frequency detuning, and current modulation of the master laser.

© 2002 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. C. R. Mirasso, P. Colet, and P. Garcia-Fernandez, IEEE Photon. Technol. Lett. 8, 299 (1996).
    [CrossRef]
  2. G. D. VanWiggeren and R. Roy, Science 279, 1200 (1998).
    [CrossRef]
  3. J.-P. Goedgebuer, L. Larger, and H. Porte, Phys. Rev. Lett. 80, 2249 (1998).
    [CrossRef]
  4. V. Ahlers, U. Parlitz, and W. Lauterborn, Phys. Rev. E 58, 7208 (1998).
    [CrossRef]
  5. P. S. Spencer and C. R. Mirasso, IEEE J. Quantum Electron. 35, 803 (1999).
    [CrossRef]
  6. J. K. White and J. V. Moloney, Phys. Rev. A 59, 2422 (1999).
    [CrossRef]
  7. S. Sivaprakasam and K. A. Shore, Opt. Lett. 24, 1200 (1999).
    [CrossRef]
  8. Y. Takiguchi, H. Fujino, and J. Ohtsubo, Opt. Lett. 24, 1570 (1999).
    [CrossRef]
  9. H. Fujino and J. Ohtsubo, Opt. Lett. 25, 625 (2000).
    [CrossRef]
  10. I. Fischer, Y. Liu, and P. Davies, Phys. Rev. A 62, 011801(R) (2000).
    [CrossRef]
  11. C. Masoller, Phys. Rev. Lett. 86, 2782 (2001).
    [CrossRef] [PubMed]
  12. I. Wedekind and U. Parlitz, Int. J. Bifurcation Chaos 11, 1141 (2001).
    [CrossRef]
  13. Y. Liu, H. F. Chen, J. M. Liu, P. Davis, and T. Aida, Phys. Rev. A 63, 031802(R) (2001).
    [CrossRef]
  14. S. Sivaprakasam, I. Pierce, P. Rees, P. S. Spencer, K. A. Shore, and A. Valle, Phys. Rev. A 64, 013805 (2001).
    [CrossRef]
  15. A. Locquet, F. Rogister, M. Sciamanna, P. Megret, and M. Blondel, Phys. Rev. E 64, 045203(R) (2001).
    [CrossRef]

2001 (5)

C. Masoller, Phys. Rev. Lett. 86, 2782 (2001).
[CrossRef] [PubMed]

I. Wedekind and U. Parlitz, Int. J. Bifurcation Chaos 11, 1141 (2001).
[CrossRef]

Y. Liu, H. F. Chen, J. M. Liu, P. Davis, and T. Aida, Phys. Rev. A 63, 031802(R) (2001).
[CrossRef]

S. Sivaprakasam, I. Pierce, P. Rees, P. S. Spencer, K. A. Shore, and A. Valle, Phys. Rev. A 64, 013805 (2001).
[CrossRef]

A. Locquet, F. Rogister, M. Sciamanna, P. Megret, and M. Blondel, Phys. Rev. E 64, 045203(R) (2001).
[CrossRef]

2000 (2)

H. Fujino and J. Ohtsubo, Opt. Lett. 25, 625 (2000).
[CrossRef]

I. Fischer, Y. Liu, and P. Davies, Phys. Rev. A 62, 011801(R) (2000).
[CrossRef]

1999 (4)

P. S. Spencer and C. R. Mirasso, IEEE J. Quantum Electron. 35, 803 (1999).
[CrossRef]

J. K. White and J. V. Moloney, Phys. Rev. A 59, 2422 (1999).
[CrossRef]

S. Sivaprakasam and K. A. Shore, Opt. Lett. 24, 1200 (1999).
[CrossRef]

Y. Takiguchi, H. Fujino, and J. Ohtsubo, Opt. Lett. 24, 1570 (1999).
[CrossRef]

1998 (3)

G. D. VanWiggeren and R. Roy, Science 279, 1200 (1998).
[CrossRef]

J.-P. Goedgebuer, L. Larger, and H. Porte, Phys. Rev. Lett. 80, 2249 (1998).
[CrossRef]

V. Ahlers, U. Parlitz, and W. Lauterborn, Phys. Rev. E 58, 7208 (1998).
[CrossRef]

1996 (1)

C. R. Mirasso, P. Colet, and P. Garcia-Fernandez, IEEE Photon. Technol. Lett. 8, 299 (1996).
[CrossRef]

Ahlers, V.

V. Ahlers, U. Parlitz, and W. Lauterborn, Phys. Rev. E 58, 7208 (1998).
[CrossRef]

Aida, T.

Y. Liu, H. F. Chen, J. M. Liu, P. Davis, and T. Aida, Phys. Rev. A 63, 031802(R) (2001).
[CrossRef]

Blondel, M.

A. Locquet, F. Rogister, M. Sciamanna, P. Megret, and M. Blondel, Phys. Rev. E 64, 045203(R) (2001).
[CrossRef]

Chen, H. F.

Y. Liu, H. F. Chen, J. M. Liu, P. Davis, and T. Aida, Phys. Rev. A 63, 031802(R) (2001).
[CrossRef]

Colet, P.

C. R. Mirasso, P. Colet, and P. Garcia-Fernandez, IEEE Photon. Technol. Lett. 8, 299 (1996).
[CrossRef]

Davies, P.

I. Fischer, Y. Liu, and P. Davies, Phys. Rev. A 62, 011801(R) (2000).
[CrossRef]

Davis, P.

Y. Liu, H. F. Chen, J. M. Liu, P. Davis, and T. Aida, Phys. Rev. A 63, 031802(R) (2001).
[CrossRef]

Fischer, I.

I. Fischer, Y. Liu, and P. Davies, Phys. Rev. A 62, 011801(R) (2000).
[CrossRef]

Fujino, H.

Garcia-Fernandez, P.

C. R. Mirasso, P. Colet, and P. Garcia-Fernandez, IEEE Photon. Technol. Lett. 8, 299 (1996).
[CrossRef]

Goedgebuer, J.-P.

J.-P. Goedgebuer, L. Larger, and H. Porte, Phys. Rev. Lett. 80, 2249 (1998).
[CrossRef]

Larger, L.

J.-P. Goedgebuer, L. Larger, and H. Porte, Phys. Rev. Lett. 80, 2249 (1998).
[CrossRef]

Lauterborn, W.

V. Ahlers, U. Parlitz, and W. Lauterborn, Phys. Rev. E 58, 7208 (1998).
[CrossRef]

Liu, J. M.

Y. Liu, H. F. Chen, J. M. Liu, P. Davis, and T. Aida, Phys. Rev. A 63, 031802(R) (2001).
[CrossRef]

Liu, Y.

Y. Liu, H. F. Chen, J. M. Liu, P. Davis, and T. Aida, Phys. Rev. A 63, 031802(R) (2001).
[CrossRef]

I. Fischer, Y. Liu, and P. Davies, Phys. Rev. A 62, 011801(R) (2000).
[CrossRef]

Locquet, A.

A. Locquet, F. Rogister, M. Sciamanna, P. Megret, and M. Blondel, Phys. Rev. E 64, 045203(R) (2001).
[CrossRef]

Masoller, C.

C. Masoller, Phys. Rev. Lett. 86, 2782 (2001).
[CrossRef] [PubMed]

Megret, P.

A. Locquet, F. Rogister, M. Sciamanna, P. Megret, and M. Blondel, Phys. Rev. E 64, 045203(R) (2001).
[CrossRef]

Mirasso, C. R.

P. S. Spencer and C. R. Mirasso, IEEE J. Quantum Electron. 35, 803 (1999).
[CrossRef]

C. R. Mirasso, P. Colet, and P. Garcia-Fernandez, IEEE Photon. Technol. Lett. 8, 299 (1996).
[CrossRef]

Moloney, J. V.

J. K. White and J. V. Moloney, Phys. Rev. A 59, 2422 (1999).
[CrossRef]

Ohtsubo, J.

Parlitz, U.

I. Wedekind and U. Parlitz, Int. J. Bifurcation Chaos 11, 1141 (2001).
[CrossRef]

V. Ahlers, U. Parlitz, and W. Lauterborn, Phys. Rev. E 58, 7208 (1998).
[CrossRef]

Pierce, I.

S. Sivaprakasam, I. Pierce, P. Rees, P. S. Spencer, K. A. Shore, and A. Valle, Phys. Rev. A 64, 013805 (2001).
[CrossRef]

Porte, H.

J.-P. Goedgebuer, L. Larger, and H. Porte, Phys. Rev. Lett. 80, 2249 (1998).
[CrossRef]

Rees, P.

S. Sivaprakasam, I. Pierce, P. Rees, P. S. Spencer, K. A. Shore, and A. Valle, Phys. Rev. A 64, 013805 (2001).
[CrossRef]

Rogister, F.

A. Locquet, F. Rogister, M. Sciamanna, P. Megret, and M. Blondel, Phys. Rev. E 64, 045203(R) (2001).
[CrossRef]

Roy, R.

G. D. VanWiggeren and R. Roy, Science 279, 1200 (1998).
[CrossRef]

Sciamanna, M.

A. Locquet, F. Rogister, M. Sciamanna, P. Megret, and M. Blondel, Phys. Rev. E 64, 045203(R) (2001).
[CrossRef]

Shore, K. A.

S. Sivaprakasam, I. Pierce, P. Rees, P. S. Spencer, K. A. Shore, and A. Valle, Phys. Rev. A 64, 013805 (2001).
[CrossRef]

S. Sivaprakasam and K. A. Shore, Opt. Lett. 24, 1200 (1999).
[CrossRef]

Sivaprakasam, S.

S. Sivaprakasam, I. Pierce, P. Rees, P. S. Spencer, K. A. Shore, and A. Valle, Phys. Rev. A 64, 013805 (2001).
[CrossRef]

S. Sivaprakasam and K. A. Shore, Opt. Lett. 24, 1200 (1999).
[CrossRef]

Spencer, P. S.

S. Sivaprakasam, I. Pierce, P. Rees, P. S. Spencer, K. A. Shore, and A. Valle, Phys. Rev. A 64, 013805 (2001).
[CrossRef]

P. S. Spencer and C. R. Mirasso, IEEE J. Quantum Electron. 35, 803 (1999).
[CrossRef]

Takiguchi, Y.

Valle, A.

S. Sivaprakasam, I. Pierce, P. Rees, P. S. Spencer, K. A. Shore, and A. Valle, Phys. Rev. A 64, 013805 (2001).
[CrossRef]

VanWiggeren, G. D.

G. D. VanWiggeren and R. Roy, Science 279, 1200 (1998).
[CrossRef]

Wedekind, I.

I. Wedekind and U. Parlitz, Int. J. Bifurcation Chaos 11, 1141 (2001).
[CrossRef]

White, J. K.

J. K. White and J. V. Moloney, Phys. Rev. A 59, 2422 (1999).
[CrossRef]

IEEE J. Quantum Electron. (1)

P. S. Spencer and C. R. Mirasso, IEEE J. Quantum Electron. 35, 803 (1999).
[CrossRef]

IEEE Photon. Technol. Lett. (1)

C. R. Mirasso, P. Colet, and P. Garcia-Fernandez, IEEE Photon. Technol. Lett. 8, 299 (1996).
[CrossRef]

Int. J. Bifurcation Chaos (1)

I. Wedekind and U. Parlitz, Int. J. Bifurcation Chaos 11, 1141 (2001).
[CrossRef]

Opt. Lett. (3)

Phys. Rev. A (4)

I. Fischer, Y. Liu, and P. Davies, Phys. Rev. A 62, 011801(R) (2000).
[CrossRef]

Y. Liu, H. F. Chen, J. M. Liu, P. Davis, and T. Aida, Phys. Rev. A 63, 031802(R) (2001).
[CrossRef]

S. Sivaprakasam, I. Pierce, P. Rees, P. S. Spencer, K. A. Shore, and A. Valle, Phys. Rev. A 64, 013805 (2001).
[CrossRef]

J. K. White and J. V. Moloney, Phys. Rev. A 59, 2422 (1999).
[CrossRef]

Phys. Rev. E (2)

A. Locquet, F. Rogister, M. Sciamanna, P. Megret, and M. Blondel, Phys. Rev. E 64, 045203(R) (2001).
[CrossRef]

V. Ahlers, U. Parlitz, and W. Lauterborn, Phys. Rev. E 58, 7208 (1998).
[CrossRef]

Phys. Rev. Lett. (2)

J.-P. Goedgebuer, L. Larger, and H. Porte, Phys. Rev. Lett. 80, 2249 (1998).
[CrossRef]

C. Masoller, Phys. Rev. Lett. 86, 2782 (2001).
[CrossRef] [PubMed]

Science (1)

G. D. VanWiggeren and R. Roy, Science 279, 1200 (1998).
[CrossRef]

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (4)

Fig. 1
Fig. 1

Correlation coefficients C as a function of the frequency detuning and the optical coupling strength. The parameters are γm=γs=20 ns-1, k=250 ns-1, =0.017, τn=2 ns, α=5, j=8.25, D=0.02 ns-1, and ωmτ=-2.5 rad. In the synchronization region, C is larger than 0.99.

Fig. 2
Fig. 2

Same as Fig. 2 but with the feedback of the slave laser γs=γm-η. To facilitate the comparison, we plot the correlation coefficient on the same gray scale as in Fig. 1. The largest value of C is 0.94.

Fig. 3
Fig. 3

(a) Imt-τc plotted versus Ist. The parameters are γm=γs=20 ns-1, η=50 ns-1, Δω=0, and D=0.02 ns-1; all other parameters are as in Fig. 2. C=0.99. (b) Imt+τ-τc plotted versus Ist. The parameters are γm=20 ns-1, γs=0, η=20 ns-1, Δω=0, and D=0.02 ns-1; all other parameters are as in Fig. 2. C=0.94.

Fig. 4
Fig. 4

rf spectra of the lasers when the master injection current is periodically modulated. The top (bottom) trace corresponds to the master (slave) laser. The parameters are α=3, τn=1 ns, k=300 ns-1, =0.01, D=0.01 ns-1, j0=1.5, h=0.1, τ=3.6 ns, τc=1.7 ns, and γm=50 ns-1. (a) γs=γm, η=3γm. C=0.98. (b) γs=0, η=γm. C=0.80.

Equations (2)

Equations on this page are rendered with MathJax. Learn more.

E·i=ki1+iαiGi-1Eit+γiEit-τexp-iωiτ+ηEmt-τcexp-iωmτc-Δωt+Diξit,
N·=ji-Ni-GiEi2/τni.

Metrics