Abstract

We present experimental confirmation of bistable behavior between two distinct periodic orbits in a self-pulsing dual-wavelength erbium-doped fiber laser. This result had been theoretically predicted with an ion-pair model that was valid for the description of most of the dynamic properties of this kind of laser.

© 1998 Optical Society of America

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References

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  1. D. Marcuse, “Pulsing behavior of a three-level laser with a saturable absorber,” IEEE J. Quantum Electron. 29, 2390 (1993).
    [CrossRef]
  2. F. Sanchez, P. LeBoudec, P. L. François, and G. Stephan, “Effects of ion pairs on the dynamics of erbium-doped fiber lasers,” Phys. Rev. A 48, 2220 (1993).
    [CrossRef] [PubMed]
  3. E. Lacot, F. Stoeckel, and M. Chenevier, “Dynamics of an erbium-doped fiber laser,” Phys. Rev. A 49, 3997 (1994).
    [CrossRef] [PubMed]
  4. F. Sanchez and G. Stephan, “General analysis of instabilities in erbium-doped fiber lasers,” Phys. Rev. E 53, 2110 (1996).
    [CrossRef]
  5. W. H. Loh, “Suppression of self-pulsing behavior in erbium-doped fiber lasers with resonant pumping,” Opt. Lett. 21, 734 (1996).
    [CrossRef] [PubMed]
  6. P. LeBoudec, P. L. François, E. Delevaque, J.-F. Bayon, F. Sanchez, and G. Stephan, “Influence of ion pairs on the dynamical behavior of Er3+-doped fiber lasers,” Opt. Quantum Electron. 25, 501 (1993).
    [CrossRef]
  7. W. H. Loh and J.-P. DeSandro, “Suppression of self-pulsing behavior in erbium-doped fiber lasers with resonant pumping: experimental results,” Opt. Lett. 21, 1475 (1996).
    [CrossRef] [PubMed]
  8. F. Sanchez, M. LeFlohic, G. M. Stephan, P. LeBoudec, and P. L. François, “Quasi-periodic route to chaos in erbium-doped fiber laser,” IEEE J. Quantum Electron. 31, 481 (1995).
    [CrossRef]
  9. D. Derozier, S. Bielawski, and P. Glorieux, “Dynamical behavior of doped fiber laser under pump modulation,” Opt. Commun. 83, 97 (1991).
    [CrossRef]
  10. S. Bielawski, D. Derozier, and P. Glorieux, “Antiphase dynamics and polarization effects in the Nd-doped fiber laser,” Phys. Rev. A 46, 2811 (1992).
    [CrossRef] [PubMed]
  11. P. LeBoudec, C. Jaouen, P. L. François, J.-F. Bayon, F. Sanchez, P. Besnard, and G. Stephan, “Antiphase dynamics and chaos in self-pulsing erbium-doped fiber lasers,” Opt. Lett. 18, 1890 (1993).
    [CrossRef]

1996

1995

F. Sanchez, M. LeFlohic, G. M. Stephan, P. LeBoudec, and P. L. François, “Quasi-periodic route to chaos in erbium-doped fiber laser,” IEEE J. Quantum Electron. 31, 481 (1995).
[CrossRef]

1994

E. Lacot, F. Stoeckel, and M. Chenevier, “Dynamics of an erbium-doped fiber laser,” Phys. Rev. A 49, 3997 (1994).
[CrossRef] [PubMed]

1993

P. LeBoudec, P. L. François, E. Delevaque, J.-F. Bayon, F. Sanchez, and G. Stephan, “Influence of ion pairs on the dynamical behavior of Er3+-doped fiber lasers,” Opt. Quantum Electron. 25, 501 (1993).
[CrossRef]

D. Marcuse, “Pulsing behavior of a three-level laser with a saturable absorber,” IEEE J. Quantum Electron. 29, 2390 (1993).
[CrossRef]

F. Sanchez, P. LeBoudec, P. L. François, and G. Stephan, “Effects of ion pairs on the dynamics of erbium-doped fiber lasers,” Phys. Rev. A 48, 2220 (1993).
[CrossRef] [PubMed]

P. LeBoudec, C. Jaouen, P. L. François, J.-F. Bayon, F. Sanchez, P. Besnard, and G. Stephan, “Antiphase dynamics and chaos in self-pulsing erbium-doped fiber lasers,” Opt. Lett. 18, 1890 (1993).
[CrossRef]

1992

S. Bielawski, D. Derozier, and P. Glorieux, “Antiphase dynamics and polarization effects in the Nd-doped fiber laser,” Phys. Rev. A 46, 2811 (1992).
[CrossRef] [PubMed]

1991

D. Derozier, S. Bielawski, and P. Glorieux, “Dynamical behavior of doped fiber laser under pump modulation,” Opt. Commun. 83, 97 (1991).
[CrossRef]

Bayon, J.-F.

P. LeBoudec, P. L. François, E. Delevaque, J.-F. Bayon, F. Sanchez, and G. Stephan, “Influence of ion pairs on the dynamical behavior of Er3+-doped fiber lasers,” Opt. Quantum Electron. 25, 501 (1993).
[CrossRef]

P. LeBoudec, C. Jaouen, P. L. François, J.-F. Bayon, F. Sanchez, P. Besnard, and G. Stephan, “Antiphase dynamics and chaos in self-pulsing erbium-doped fiber lasers,” Opt. Lett. 18, 1890 (1993).
[CrossRef]

Besnard, P.

Bielawski, S.

S. Bielawski, D. Derozier, and P. Glorieux, “Antiphase dynamics and polarization effects in the Nd-doped fiber laser,” Phys. Rev. A 46, 2811 (1992).
[CrossRef] [PubMed]

D. Derozier, S. Bielawski, and P. Glorieux, “Dynamical behavior of doped fiber laser under pump modulation,” Opt. Commun. 83, 97 (1991).
[CrossRef]

Chenevier, M.

E. Lacot, F. Stoeckel, and M. Chenevier, “Dynamics of an erbium-doped fiber laser,” Phys. Rev. A 49, 3997 (1994).
[CrossRef] [PubMed]

Delevaque, E.

P. LeBoudec, P. L. François, E. Delevaque, J.-F. Bayon, F. Sanchez, and G. Stephan, “Influence of ion pairs on the dynamical behavior of Er3+-doped fiber lasers,” Opt. Quantum Electron. 25, 501 (1993).
[CrossRef]

Derozier, D.

S. Bielawski, D. Derozier, and P. Glorieux, “Antiphase dynamics and polarization effects in the Nd-doped fiber laser,” Phys. Rev. A 46, 2811 (1992).
[CrossRef] [PubMed]

D. Derozier, S. Bielawski, and P. Glorieux, “Dynamical behavior of doped fiber laser under pump modulation,” Opt. Commun. 83, 97 (1991).
[CrossRef]

DeSandro, J.-P.

François, P. L.

F. Sanchez, M. LeFlohic, G. M. Stephan, P. LeBoudec, and P. L. François, “Quasi-periodic route to chaos in erbium-doped fiber laser,” IEEE J. Quantum Electron. 31, 481 (1995).
[CrossRef]

P. LeBoudec, P. L. François, E. Delevaque, J.-F. Bayon, F. Sanchez, and G. Stephan, “Influence of ion pairs on the dynamical behavior of Er3+-doped fiber lasers,” Opt. Quantum Electron. 25, 501 (1993).
[CrossRef]

F. Sanchez, P. LeBoudec, P. L. François, and G. Stephan, “Effects of ion pairs on the dynamics of erbium-doped fiber lasers,” Phys. Rev. A 48, 2220 (1993).
[CrossRef] [PubMed]

P. LeBoudec, C. Jaouen, P. L. François, J.-F. Bayon, F. Sanchez, P. Besnard, and G. Stephan, “Antiphase dynamics and chaos in self-pulsing erbium-doped fiber lasers,” Opt. Lett. 18, 1890 (1993).
[CrossRef]

Glorieux, P.

S. Bielawski, D. Derozier, and P. Glorieux, “Antiphase dynamics and polarization effects in the Nd-doped fiber laser,” Phys. Rev. A 46, 2811 (1992).
[CrossRef] [PubMed]

D. Derozier, S. Bielawski, and P. Glorieux, “Dynamical behavior of doped fiber laser under pump modulation,” Opt. Commun. 83, 97 (1991).
[CrossRef]

Jaouen, C.

Lacot, E.

E. Lacot, F. Stoeckel, and M. Chenevier, “Dynamics of an erbium-doped fiber laser,” Phys. Rev. A 49, 3997 (1994).
[CrossRef] [PubMed]

LeBoudec, P.

F. Sanchez, M. LeFlohic, G. M. Stephan, P. LeBoudec, and P. L. François, “Quasi-periodic route to chaos in erbium-doped fiber laser,” IEEE J. Quantum Electron. 31, 481 (1995).
[CrossRef]

P. LeBoudec, C. Jaouen, P. L. François, J.-F. Bayon, F. Sanchez, P. Besnard, and G. Stephan, “Antiphase dynamics and chaos in self-pulsing erbium-doped fiber lasers,” Opt. Lett. 18, 1890 (1993).
[CrossRef]

P. LeBoudec, P. L. François, E. Delevaque, J.-F. Bayon, F. Sanchez, and G. Stephan, “Influence of ion pairs on the dynamical behavior of Er3+-doped fiber lasers,” Opt. Quantum Electron. 25, 501 (1993).
[CrossRef]

F. Sanchez, P. LeBoudec, P. L. François, and G. Stephan, “Effects of ion pairs on the dynamics of erbium-doped fiber lasers,” Phys. Rev. A 48, 2220 (1993).
[CrossRef] [PubMed]

LeFlohic, M.

F. Sanchez, M. LeFlohic, G. M. Stephan, P. LeBoudec, and P. L. François, “Quasi-periodic route to chaos in erbium-doped fiber laser,” IEEE J. Quantum Electron. 31, 481 (1995).
[CrossRef]

Loh, W. H.

Marcuse, D.

D. Marcuse, “Pulsing behavior of a three-level laser with a saturable absorber,” IEEE J. Quantum Electron. 29, 2390 (1993).
[CrossRef]

Sanchez, F.

F. Sanchez and G. Stephan, “General analysis of instabilities in erbium-doped fiber lasers,” Phys. Rev. E 53, 2110 (1996).
[CrossRef]

F. Sanchez, M. LeFlohic, G. M. Stephan, P. LeBoudec, and P. L. François, “Quasi-periodic route to chaos in erbium-doped fiber laser,” IEEE J. Quantum Electron. 31, 481 (1995).
[CrossRef]

P. LeBoudec, C. Jaouen, P. L. François, J.-F. Bayon, F. Sanchez, P. Besnard, and G. Stephan, “Antiphase dynamics and chaos in self-pulsing erbium-doped fiber lasers,” Opt. Lett. 18, 1890 (1993).
[CrossRef]

F. Sanchez, P. LeBoudec, P. L. François, and G. Stephan, “Effects of ion pairs on the dynamics of erbium-doped fiber lasers,” Phys. Rev. A 48, 2220 (1993).
[CrossRef] [PubMed]

P. LeBoudec, P. L. François, E. Delevaque, J.-F. Bayon, F. Sanchez, and G. Stephan, “Influence of ion pairs on the dynamical behavior of Er3+-doped fiber lasers,” Opt. Quantum Electron. 25, 501 (1993).
[CrossRef]

Stephan, G.

F. Sanchez and G. Stephan, “General analysis of instabilities in erbium-doped fiber lasers,” Phys. Rev. E 53, 2110 (1996).
[CrossRef]

F. Sanchez, P. LeBoudec, P. L. François, and G. Stephan, “Effects of ion pairs on the dynamics of erbium-doped fiber lasers,” Phys. Rev. A 48, 2220 (1993).
[CrossRef] [PubMed]

P. LeBoudec, P. L. François, E. Delevaque, J.-F. Bayon, F. Sanchez, and G. Stephan, “Influence of ion pairs on the dynamical behavior of Er3+-doped fiber lasers,” Opt. Quantum Electron. 25, 501 (1993).
[CrossRef]

P. LeBoudec, C. Jaouen, P. L. François, J.-F. Bayon, F. Sanchez, P. Besnard, and G. Stephan, “Antiphase dynamics and chaos in self-pulsing erbium-doped fiber lasers,” Opt. Lett. 18, 1890 (1993).
[CrossRef]

Stephan, G. M.

F. Sanchez, M. LeFlohic, G. M. Stephan, P. LeBoudec, and P. L. François, “Quasi-periodic route to chaos in erbium-doped fiber laser,” IEEE J. Quantum Electron. 31, 481 (1995).
[CrossRef]

Stoeckel, F.

E. Lacot, F. Stoeckel, and M. Chenevier, “Dynamics of an erbium-doped fiber laser,” Phys. Rev. A 49, 3997 (1994).
[CrossRef] [PubMed]

IEEE J. Quantum Electron.

D. Marcuse, “Pulsing behavior of a three-level laser with a saturable absorber,” IEEE J. Quantum Electron. 29, 2390 (1993).
[CrossRef]

F. Sanchez, M. LeFlohic, G. M. Stephan, P. LeBoudec, and P. L. François, “Quasi-periodic route to chaos in erbium-doped fiber laser,” IEEE J. Quantum Electron. 31, 481 (1995).
[CrossRef]

Opt. Commun.

D. Derozier, S. Bielawski, and P. Glorieux, “Dynamical behavior of doped fiber laser under pump modulation,” Opt. Commun. 83, 97 (1991).
[CrossRef]

Opt. Lett.

Opt. Quantum Electron.

P. LeBoudec, P. L. François, E. Delevaque, J.-F. Bayon, F. Sanchez, and G. Stephan, “Influence of ion pairs on the dynamical behavior of Er3+-doped fiber lasers,” Opt. Quantum Electron. 25, 501 (1993).
[CrossRef]

Phys. Rev. A

S. Bielawski, D. Derozier, and P. Glorieux, “Antiphase dynamics and polarization effects in the Nd-doped fiber laser,” Phys. Rev. A 46, 2811 (1992).
[CrossRef] [PubMed]

F. Sanchez, P. LeBoudec, P. L. François, and G. Stephan, “Effects of ion pairs on the dynamics of erbium-doped fiber lasers,” Phys. Rev. A 48, 2220 (1993).
[CrossRef] [PubMed]

E. Lacot, F. Stoeckel, and M. Chenevier, “Dynamics of an erbium-doped fiber laser,” Phys. Rev. A 49, 3997 (1994).
[CrossRef] [PubMed]

Phys. Rev. E

F. Sanchez and G. Stephan, “General analysis of instabilities in erbium-doped fiber lasers,” Phys. Rev. E 53, 2110 (1996).
[CrossRef]

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Figures (5)

Fig. 1
Fig. 1

Quenching effect between two excited neighboring ions.

Fig. 2
Fig. 2

Bifurcation diagram for one mode when case x=10%.

Fig. 3
Fig. 3

Experimental setup: WDM’s, wavelength multiplexers at 1.48 and 1.55 μm; the coupling ratios of C1 and C2 at 1.55 μm are indicated. M1 and M2 are 100% reflecting mirrors.

Fig. 4
Fig. 4

Optical spectrum of the laser showing the two ranges of the oscillating wavelength.

Fig. 5
Fig. 5

Evolution of the intensity of one mode versus time for (a) increasing and (b) decreasing pump ratios. Note the bistability between the 2T- and the 3T-periodic orbits for both I=229 mA and I=227 mA.

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