Abstract

A self-pulsating laser diode under external drive shows the nonlinear dynamical effects of two competing frequencies. One can establish a route to chaos by increasing the modulation current. However, when the modulation frequency is varied, the chaotic state is suddenly destroyed at the harmonic frequencies of the self-pulsating frequency. This approach therefore offers a simple chaotic light source for possible optical chaotic communication.

© 1999 Optical Society of America

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References

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  1. C. R. Mirasso, P. Colet, and P. Garcia-Fernandez, IEEE Photon. Technol. Lett. 8, 299 (1996).
    [CrossRef]
  2. V. Annovazzi-Lodi, V. Donati, and A. Scire, IEEE J. Quantum Electron. 33, 1449 (1997).
    [CrossRef]
  3. I. Fischer, O. Hess, W. Elsässer, and O. Göbel, Phys. Rev. Lett. 73, 2188 (1994).
    [CrossRef] [PubMed]
  4. V. Kovanis, A. Gavrielides, T. B. Simpson, and J. M. Liu, Appl. Phys. Lett. 67, 2780 (1995).
    [CrossRef]
  5. S. Bennett, C. M. Snowden, and S. Iezekiel, IEEE J. Quantum Electron. 33, 2076 (1997).
    [CrossRef]
  6. E. Hemery, L. Chusseau, and J. M. Lourtioz, IEEE J. Quantum Electron. 26, 633 (1990).
    [CrossRef]
  7. H. G. Winful, Y. C. Chen, and J. M. Liu, Appl. Phys. Lett. 48, 616 (1986).
    [CrossRef]
  8. H. Adachi, S. Kamiyama, I. Kidoguchi, and T. Uenoyama, IEEE Photon. Technol. Lett. 7, 1406 (1995).
    [CrossRef]
  9. M. Yamada, IEEE J. Quantum Electron. 29, 1330 (1993).
    [CrossRef]
  10. G. van Tartwijk and M. San Miguel, IEEE J. Quantum Electron. 32, 1191 (1996).
    [CrossRef]
  11. P. Phelan, D. McDonald, A. Egan, J. Hegarty, R. O’Dowd, G. Farrell, and S. Lindgren, IEEE Proc. Optoelectron. 141, 114 (1994).
    [CrossRef]
  12. E. Egan, J. O’Gorman, P. Rees, G. Farrell, J. Hegarty, and P. Phelan, Electron. Lett. 31, 802 (1995).
    [CrossRef]

1997 (2)

V. Annovazzi-Lodi, V. Donati, and A. Scire, IEEE J. Quantum Electron. 33, 1449 (1997).
[CrossRef]

S. Bennett, C. M. Snowden, and S. Iezekiel, IEEE J. Quantum Electron. 33, 2076 (1997).
[CrossRef]

1996 (2)

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

G. van Tartwijk and M. San Miguel, IEEE J. Quantum Electron. 32, 1191 (1996).
[CrossRef]

1995 (3)

E. Egan, J. O’Gorman, P. Rees, G. Farrell, J. Hegarty, and P. Phelan, Electron. Lett. 31, 802 (1995).
[CrossRef]

V. Kovanis, A. Gavrielides, T. B. Simpson, and J. M. Liu, Appl. Phys. Lett. 67, 2780 (1995).
[CrossRef]

H. Adachi, S. Kamiyama, I. Kidoguchi, and T. Uenoyama, IEEE Photon. Technol. Lett. 7, 1406 (1995).
[CrossRef]

1994 (2)

I. Fischer, O. Hess, W. Elsässer, and O. Göbel, Phys. Rev. Lett. 73, 2188 (1994).
[CrossRef] [PubMed]

P. Phelan, D. McDonald, A. Egan, J. Hegarty, R. O’Dowd, G. Farrell, and S. Lindgren, IEEE Proc. Optoelectron. 141, 114 (1994).
[CrossRef]

1993 (1)

M. Yamada, IEEE J. Quantum Electron. 29, 1330 (1993).
[CrossRef]

1990 (1)

E. Hemery, L. Chusseau, and J. M. Lourtioz, IEEE J. Quantum Electron. 26, 633 (1990).
[CrossRef]

1986 (1)

H. G. Winful, Y. C. Chen, and J. M. Liu, Appl. Phys. Lett. 48, 616 (1986).
[CrossRef]

Adachi, H.

H. Adachi, S. Kamiyama, I. Kidoguchi, and T. Uenoyama, IEEE Photon. Technol. Lett. 7, 1406 (1995).
[CrossRef]

Annovazzi-Lodi, V.

V. Annovazzi-Lodi, V. Donati, and A. Scire, IEEE J. Quantum Electron. 33, 1449 (1997).
[CrossRef]

Bennett, S.

S. Bennett, C. M. Snowden, and S. Iezekiel, IEEE J. Quantum Electron. 33, 2076 (1997).
[CrossRef]

Chen, Y. C.

H. G. Winful, Y. C. Chen, and J. M. Liu, Appl. Phys. Lett. 48, 616 (1986).
[CrossRef]

Chusseau, L.

E. Hemery, L. Chusseau, and J. M. Lourtioz, IEEE J. Quantum Electron. 26, 633 (1990).
[CrossRef]

Colet, P.

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

Donati, V.

V. Annovazzi-Lodi, V. Donati, and A. Scire, IEEE J. Quantum Electron. 33, 1449 (1997).
[CrossRef]

Egan, A.

P. Phelan, D. McDonald, A. Egan, J. Hegarty, R. O’Dowd, G. Farrell, and S. Lindgren, IEEE Proc. Optoelectron. 141, 114 (1994).
[CrossRef]

Egan, E.

E. Egan, J. O’Gorman, P. Rees, G. Farrell, J. Hegarty, and P. Phelan, Electron. Lett. 31, 802 (1995).
[CrossRef]

Elsässer, W.

I. Fischer, O. Hess, W. Elsässer, and O. Göbel, Phys. Rev. Lett. 73, 2188 (1994).
[CrossRef] [PubMed]

Farrell, G.

E. Egan, J. O’Gorman, P. Rees, G. Farrell, J. Hegarty, and P. Phelan, Electron. Lett. 31, 802 (1995).
[CrossRef]

P. Phelan, D. McDonald, A. Egan, J. Hegarty, R. O’Dowd, G. Farrell, and S. Lindgren, IEEE Proc. Optoelectron. 141, 114 (1994).
[CrossRef]

Fischer, I.

I. Fischer, O. Hess, W. Elsässer, and O. Göbel, Phys. Rev. Lett. 73, 2188 (1994).
[CrossRef] [PubMed]

Garcia-Fernandez, P.

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

Gavrielides, A.

V. Kovanis, A. Gavrielides, T. B. Simpson, and J. M. Liu, Appl. Phys. Lett. 67, 2780 (1995).
[CrossRef]

Göbel, O.

I. Fischer, O. Hess, W. Elsässer, and O. Göbel, Phys. Rev. Lett. 73, 2188 (1994).
[CrossRef] [PubMed]

Hegarty, J.

E. Egan, J. O’Gorman, P. Rees, G. Farrell, J. Hegarty, and P. Phelan, Electron. Lett. 31, 802 (1995).
[CrossRef]

P. Phelan, D. McDonald, A. Egan, J. Hegarty, R. O’Dowd, G. Farrell, and S. Lindgren, IEEE Proc. Optoelectron. 141, 114 (1994).
[CrossRef]

Hemery, E.

E. Hemery, L. Chusseau, and J. M. Lourtioz, IEEE J. Quantum Electron. 26, 633 (1990).
[CrossRef]

Hess, O.

I. Fischer, O. Hess, W. Elsässer, and O. Göbel, Phys. Rev. Lett. 73, 2188 (1994).
[CrossRef] [PubMed]

Iezekiel, S.

S. Bennett, C. M. Snowden, and S. Iezekiel, IEEE J. Quantum Electron. 33, 2076 (1997).
[CrossRef]

Kamiyama, S.

H. Adachi, S. Kamiyama, I. Kidoguchi, and T. Uenoyama, IEEE Photon. Technol. Lett. 7, 1406 (1995).
[CrossRef]

Kidoguchi, I.

H. Adachi, S. Kamiyama, I. Kidoguchi, and T. Uenoyama, IEEE Photon. Technol. Lett. 7, 1406 (1995).
[CrossRef]

Kovanis, V.

V. Kovanis, A. Gavrielides, T. B. Simpson, and J. M. Liu, Appl. Phys. Lett. 67, 2780 (1995).
[CrossRef]

Lindgren, S.

P. Phelan, D. McDonald, A. Egan, J. Hegarty, R. O’Dowd, G. Farrell, and S. Lindgren, IEEE Proc. Optoelectron. 141, 114 (1994).
[CrossRef]

Liu, J. M.

V. Kovanis, A. Gavrielides, T. B. Simpson, and J. M. Liu, Appl. Phys. Lett. 67, 2780 (1995).
[CrossRef]

H. G. Winful, Y. C. Chen, and J. M. Liu, Appl. Phys. Lett. 48, 616 (1986).
[CrossRef]

Lourtioz, J. M.

E. Hemery, L. Chusseau, and J. M. Lourtioz, IEEE J. Quantum Electron. 26, 633 (1990).
[CrossRef]

McDonald, D.

P. Phelan, D. McDonald, A. Egan, J. Hegarty, R. O’Dowd, G. Farrell, and S. Lindgren, IEEE Proc. Optoelectron. 141, 114 (1994).
[CrossRef]

Mirasso, C. R.

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

O’Dowd, R.

P. Phelan, D. McDonald, A. Egan, J. Hegarty, R. O’Dowd, G. Farrell, and S. Lindgren, IEEE Proc. Optoelectron. 141, 114 (1994).
[CrossRef]

O’Gorman, J.

E. Egan, J. O’Gorman, P. Rees, G. Farrell, J. Hegarty, and P. Phelan, Electron. Lett. 31, 802 (1995).
[CrossRef]

Phelan, P.

E. Egan, J. O’Gorman, P. Rees, G. Farrell, J. Hegarty, and P. Phelan, Electron. Lett. 31, 802 (1995).
[CrossRef]

P. Phelan, D. McDonald, A. Egan, J. Hegarty, R. O’Dowd, G. Farrell, and S. Lindgren, IEEE Proc. Optoelectron. 141, 114 (1994).
[CrossRef]

Rees, P.

E. Egan, J. O’Gorman, P. Rees, G. Farrell, J. Hegarty, and P. Phelan, Electron. Lett. 31, 802 (1995).
[CrossRef]

San Miguel, M.

G. van Tartwijk and M. San Miguel, IEEE J. Quantum Electron. 32, 1191 (1996).
[CrossRef]

Scire, A.

V. Annovazzi-Lodi, V. Donati, and A. Scire, IEEE J. Quantum Electron. 33, 1449 (1997).
[CrossRef]

Simpson, T. B.

V. Kovanis, A. Gavrielides, T. B. Simpson, and J. M. Liu, Appl. Phys. Lett. 67, 2780 (1995).
[CrossRef]

Snowden, C. M.

S. Bennett, C. M. Snowden, and S. Iezekiel, IEEE J. Quantum Electron. 33, 2076 (1997).
[CrossRef]

Uenoyama, T.

H. Adachi, S. Kamiyama, I. Kidoguchi, and T. Uenoyama, IEEE Photon. Technol. Lett. 7, 1406 (1995).
[CrossRef]

van Tartwijk, G.

G. van Tartwijk and M. San Miguel, IEEE J. Quantum Electron. 32, 1191 (1996).
[CrossRef]

Winful, H. G.

H. G. Winful, Y. C. Chen, and J. M. Liu, Appl. Phys. Lett. 48, 616 (1986).
[CrossRef]

Yamada, M.

M. Yamada, IEEE J. Quantum Electron. 29, 1330 (1993).
[CrossRef]

Appl. Phys. Lett. (2)

V. Kovanis, A. Gavrielides, T. B. Simpson, and J. M. Liu, Appl. Phys. Lett. 67, 2780 (1995).
[CrossRef]

H. G. Winful, Y. C. Chen, and J. M. Liu, Appl. Phys. Lett. 48, 616 (1986).
[CrossRef]

Electron. Lett. (1)

E. Egan, J. O’Gorman, P. Rees, G. Farrell, J. Hegarty, and P. Phelan, Electron. Lett. 31, 802 (1995).
[CrossRef]

IEEE J. Quantum Electron. (5)

M. Yamada, IEEE J. Quantum Electron. 29, 1330 (1993).
[CrossRef]

G. van Tartwijk and M. San Miguel, IEEE J. Quantum Electron. 32, 1191 (1996).
[CrossRef]

S. Bennett, C. M. Snowden, and S. Iezekiel, IEEE J. Quantum Electron. 33, 2076 (1997).
[CrossRef]

E. Hemery, L. Chusseau, and J. M. Lourtioz, IEEE J. Quantum Electron. 26, 633 (1990).
[CrossRef]

V. Annovazzi-Lodi, V. Donati, and A. Scire, IEEE J. Quantum Electron. 33, 1449 (1997).
[CrossRef]

IEEE Photon. Technol. Lett. (2)

H. Adachi, S. Kamiyama, I. Kidoguchi, and T. Uenoyama, IEEE Photon. Technol. Lett. 7, 1406 (1995).
[CrossRef]

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

IEEE Proc. Optoelectron. (1)

P. Phelan, D. McDonald, A. Egan, J. Hegarty, R. O’Dowd, G. Farrell, and S. Lindgren, IEEE Proc. Optoelectron. 141, 114 (1994).
[CrossRef]

Phys. Rev. Lett. (1)

I. Fischer, O. Hess, W. Elsässer, and O. Göbel, Phys. Rev. Lett. 73, 2188 (1994).
[CrossRef] [PubMed]

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Figures (5)

Fig. 1
Fig. 1

Power spectrum of S in arbitrary units for m=0.3 and b=1 mA.

Fig. 2
Fig. 2

Power spectrum of S in arbitrary units for m=0.9 and b=1 mA.

Fig. 3
Fig. 3

Power spectrum of S in arbitrary units for m=0.3 and b=9 mA.

Fig. 4
Fig. 4

Bifurcation diagram of S in units of 106/m3 for m=0.3 versus b.

Fig. 5
Fig. 5

Bifurcation diagram of S in unit of 106/m3 for b=9 mA versus m.

Tables (1)

Tables Icon

Table 1 Parameters Used for Simulation of Self-Pulsating Laser Diodes

Equations (3)

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

dS/dt=k1ξ1N1-Ng1+k2ξ2N2-Ng2-Gth×S+CN1V1τs,
dN1/dt=-k1ξ1V1N1-Ng1S-N1τs-N1-N2T12+IeV1,
dN2/dt=-k2ξ2V2N2-Ng2S-N2τs-N2-N1T21,

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