Abstract

We observe experimentally and numerically novel mixed-mode dynamic states of a diode laser subject to two delayed optical feedbacks. These states have been proposed and analyzed within the framework of the Lang–Kobayashi single-feedback model. Such states are combinations of two distinct external cavity modes and can be identified through a characteristic sequence of a Hopf bifurcation followed by a secondary quasi-periodic bifurcation. We present experimental and numerical results that demonstrate such sequences.

© 2002 Optical Society of America

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References

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  1. T. Erneux, F. Rogister, A. Gavrielides, and V. Kovanis, Opt. Commun. 183, 467 (2000).
    [CrossRef]
  2. F. Rogister, P. Megret, O. Deparis, M. Blondel, and T. Erneux, Opt. Lett. 24, 1218 (1999).
    [CrossRef]
  3. F. Rogister, D. W. Sukow, A. Gavrielides, P. Megret, O. Deparis, and M. Blondel, Opt. Lett. 25, 808 (2000).
  4. A. A. Tager and B. B. Elenkrig, IEEE J. Quantum Electron. 29, 2886 (1993).
  5. A. A. Tager and K. Petermann, IEEE J. Quantum Electron. 30, 1553 (1994).
  6. G. Lythe, T. Erneux, A. Gavrielides, and V. Kovanis, Phys. Rev. A 55, 4443 (1997).

2000 (2)

T. Erneux, F. Rogister, A. Gavrielides, and V. Kovanis, Opt. Commun. 183, 467 (2000).
[CrossRef]

F. Rogister, D. W. Sukow, A. Gavrielides, P. Megret, O. Deparis, and M. Blondel, Opt. Lett. 25, 808 (2000).

1999 (1)

1997 (1)

G. Lythe, T. Erneux, A. Gavrielides, and V. Kovanis, Phys. Rev. A 55, 4443 (1997).

1994 (1)

A. A. Tager and K. Petermann, IEEE J. Quantum Electron. 30, 1553 (1994).

1993 (1)

A. A. Tager and B. B. Elenkrig, IEEE J. Quantum Electron. 29, 2886 (1993).

Blondel, M.

Deparis, O.

Elenkrig, B. B.

A. A. Tager and B. B. Elenkrig, IEEE J. Quantum Electron. 29, 2886 (1993).

Erneux, T.

T. Erneux, F. Rogister, A. Gavrielides, and V. Kovanis, Opt. Commun. 183, 467 (2000).
[CrossRef]

F. Rogister, P. Megret, O. Deparis, M. Blondel, and T. Erneux, Opt. Lett. 24, 1218 (1999).
[CrossRef]

G. Lythe, T. Erneux, A. Gavrielides, and V. Kovanis, Phys. Rev. A 55, 4443 (1997).

Gavrielides, A.

T. Erneux, F. Rogister, A. Gavrielides, and V. Kovanis, Opt. Commun. 183, 467 (2000).
[CrossRef]

F. Rogister, D. W. Sukow, A. Gavrielides, P. Megret, O. Deparis, and M. Blondel, Opt. Lett. 25, 808 (2000).

G. Lythe, T. Erneux, A. Gavrielides, and V. Kovanis, Phys. Rev. A 55, 4443 (1997).

Kovanis, V.

T. Erneux, F. Rogister, A. Gavrielides, and V. Kovanis, Opt. Commun. 183, 467 (2000).
[CrossRef]

G. Lythe, T. Erneux, A. Gavrielides, and V. Kovanis, Phys. Rev. A 55, 4443 (1997).

Lythe, G.

G. Lythe, T. Erneux, A. Gavrielides, and V. Kovanis, Phys. Rev. A 55, 4443 (1997).

Megret, P.

Petermann, K.

A. A. Tager and K. Petermann, IEEE J. Quantum Electron. 30, 1553 (1994).

Rogister, F.

Sukow, D. W.

Tager, A. A.

A. A. Tager and K. Petermann, IEEE J. Quantum Electron. 30, 1553 (1994).

A. A. Tager and B. B. Elenkrig, IEEE J. Quantum Electron. 29, 2886 (1993).

IEEE J. Quantum Electron. (2)

A. A. Tager and B. B. Elenkrig, IEEE J. Quantum Electron. 29, 2886 (1993).

A. A. Tager and K. Petermann, IEEE J. Quantum Electron. 30, 1553 (1994).

Opt. Commun. (1)

T. Erneux, F. Rogister, A. Gavrielides, and V. Kovanis, Opt. Commun. 183, 467 (2000).
[CrossRef]

Opt. Lett. (2)

Phys. Rev. A (1)

G. Lythe, T. Erneux, A. Gavrielides, and V. Kovanis, Phys. Rev. A 55, 4443 (1997).

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Figures (5)

Fig. 1
Fig. 1

Experimental schematic diagram; see text for definitions.

Fig. 2
Fig. 2

Experimental optical spectra as a function of ΔI2. Threshold reduction from the first cavity is fixed at ΔI1=2.40%. The laser is stable in traces (b) and (g), periodic in (c) and (d), quasi-periodic in (e), and displays LFF in (f).

Fig. 3
Fig. 3

Experimental RF spectra showing a sequence of dynamics: (a) ΔI2=2.18%, stable; (b) ΔI2=4.42%, periodic; (c) ΔI2=4.97%, quasi-periodic; (d) ΔI2=5.45%, LFF.

Fig. 4
Fig. 4

Analytical and numerical bifurcation diagram. Mode crossing appears at η2=0.036.

Fig. 5
Fig. 5

Numerical optical and RF spectra when η1=0.024. Optical spectra: (a) η2=0.031, stable; (b) η2=0.033, periodic; (c) η2=0.0355, quasi-periodic. RF spectrum: (d) η2=0.0355, quasi-periodic.

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