Abstract

Bistabilities between a steady (or pulsating, chaotic) and different pulsating regimes are investigated for an optically injected semiconductor laser. Both numerical and experimental studies are reported for continuous-wave single-mode semiconductor distributed-feedback lasers emitting at 1.55 μm. Hysteresis are driven by either changing the optically injected power or the frequency difference between both lasers. The effect of the injected laser pumping rate is also examined. Systematic mappings of the possible laser outputs (injection locking, bimodal, wave mixing, chaos or relaxation oscillations) are carried out. At small pumping rates (1.2 times threshold), only locking and bimodal regimes are observed. The extent of the bistable area is either 11 dB or 35 GHz, depending on the varying parameters. At high pumping rates (4 times threshold), numerous injection regimes are observed. Injection locking and its bistabilities are also reported for secondary longitudinal modes.

© 2009 Optical Society of America

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  1. H. L. Stover and W. H. Steier, "Locking of laser Oscillators by light injection," Appl. Phys. Lett. 8, 91-93 (1966).
    [CrossRef]
  2. L. E. Erikson and A. Szabo, "Spectral Narrowing of dye Laser Output by injection of Monochromatic Radiation into the Laser Cavity," Appl. Phys. Lett. 18, 433-435 (1971).
    [CrossRef]
  3. G. Stephan, "Spectral properties of an injected laser," Phys. Rev. A 58, 2467-2471 (1998).
    [CrossRef]
  4. M. Bondiou, "Etude des proprietes spectrales d’un laser semi-conducteur soumis `a injection optique," PhD thesis, Rennes I University (1999). (in French).
  5. R. Gabet, "Etude experimentale et theorique de l’injection optique dans un laser a semi-conducteurs : application `a la detection de faibles signaux coherents a 1.55 μm," PhD thesis, ENSSAT, Rennes I University (2000). (in French).
  6. J. Troger, "Novel measurement scheme for injection-locking experiments," IEEE J. Quantum Electron. 35, 32-38 (1999).
    [CrossRef]
  7. G. H. M. van Tartwijk, H. de Waardt, B. H. Verbeek, and D. Lenstra, "Resonant Optical Amplification in a Laser Diode: Theory and Experiment," IEEE J. Quantum Electron. 30, 1763-1768 (1994).
    [CrossRef]
  8. A. Hohl, H. J. C. van der Linde, R. Roy, G. Goldstein, F. Broner, and S. H. Strogatz, "Scaling Laws for Dynamical Hysteresis in a Multidimensional Laser System," Phys. Rev. Lett. 74, 2220-2223 (1995).
    [CrossRef] [PubMed]
  9. T. Erneux, A. Gavrielides, V. Kovanis, "Low pump stability of an optically injected diode laser," Quantum Semiclassic. Opt. 9, 811-818 (1997).
    [CrossRef]
  10. S. Kobayashi and T. Kimura, "Injection locking in AlGaAs semiconductor laser," IEEE J. Quantum Electron. 17, 681-689 (1981).
    [CrossRef]
  11. H. Kawaguchi, K. Inoue, T. Matsuoka, and K. Otsuka, "Bistable output characteristics in semiconductor laser injection locking," IEEE J. Quantum Electron. 21, 1314-1317 (1985).
    [CrossRef]
  12. H. M. Gibbs, S. L. McCall, T. N. C. Venkatesan, A. C. Gossard, A. Passner, and W. Wiegmann, "Optical bistability in semiconductors," Appl. Phys. Lett. 35, 451-453 (1979).
    [CrossRef]
  13. K. Otsuka and H. Iwamura, "Analysis of a Multistable Semiconductor Light Amplifier," IEEE J. Quantum Electron. QE-19, 1184-1186 (1983).
    [CrossRef]
  14. K. Otsuka and S. Kobayashi, "Optical Bistability and Nonlinear Resonance in a Resonant-Type Semiconductor Laser Amplifier," Electron. Lett. 19, 262-263 (1983).
    [CrossRef]
  15. T. Nakai, J. Ogasawara, and R. Ito, "Optical Bistability in a Semiconductor Laser Amplifier," Jpn. J. Appl. Phys. 22, L310-L312 (1983).
    [CrossRef]
  16. D. L. Boiko, G. M. Stephan and P. Besnard, "Fast polarization switching with memory effect in a vertical cavity surface emitting laser subject to modulated optical injection," J. Appl. Phys. 86, 4096-4099 (1999).
    [CrossRef]
  17. R. Hui, A. D’Ottavi, A. Mecozzi and P. Spano, "Injection locking in distributed feedback semiconductor lasers," IEEE J. Quantum Electron. 27, 1688-1695 (1991).
    [CrossRef]
  18. S. K. Hwang and J. M. Liu, "Attractors and basins of the locking-unlocking bistability in a semiconductor laser subject to strong optical injection," Opt. Commun. 169, 167-176 (1999).
    [CrossRef]
  19. V. Kovanis, T. Erneux and A. Gavrielides, "Largely detuned injection-locked semiconductor lasers," Opt. Commun. 159, 177-183 (1999).
    [CrossRef]
  20. S. Wieczorek, B. Krauskopf, T. Simpson, and D. Lenstra, "The dynamical complexity of optically injected semiconductor lasers," Phys. Rep. 416, 1-128 (2005).
    [CrossRef]
  21. S. Blin, C. Guignard, P. Besnard, R. Gabet, G. Stephan, M. Bondiou, "Phase and spectral properties of optically injected semiconductor lasers," Comptes Rendus Physique 4, 687-699 (2003).
    [CrossRef]
  22. S. Blin, G. Stephan, R. Gabet, and P. Besnard, "Amplification process in a laser injected by a narrow-band weak signal," Europhys. Lett. 52, 60-65 (2000).
    [CrossRef]
  23. P. C. De Jagher, W. A. van der Graaf, and D. Lenstra, "Relaxation-oscillation phenomena in an injection-locked semiconductor laser," Quantum Semiclassic. Opt. 8, 805-822 (1996).
    [CrossRef]
  24. S. Wieczorek, B. Krauskopf, and D. Lenstra, "A unifying view of bifurcations in a semiconductor laser subject to optical injection," Opt. Commun. 172, 279-295 (1999).
    [CrossRef]
  25. S. L. Chuang, Physics of Photonic Devices,( Wiley Series in Pure and Applied Optics, 2nd ed., Wiley, 2009).
  26. S. Blin, "Complements a l’etude exp’erimentale et theorique de l’injection optique dans des lasers a semiconducteurs et des lasers a fibre a 1550 nm," PhD thesis, ENSSAT (Rennes I University, FRANCE) and Facult’e des Sciences et de G’enie (Laval University, QU’EBEC - CANADA) (2003). (in French).
  27. T. B. Simpson, J. M. Liu, K. F. Huang, and K. Tai, "Nonlinear Dynamics Induced by External Optical Injection in Semiconductors Lasers," Quantum Semiclassic. Opt. 9, 765-784 (1997).
    [CrossRef]
  28. A. Gavrielides, V. Kovanis, P. Varangis, T. Erneux, and T. B. Simpson, "Subharmonic Resonances in an Optically Injected Semiconductor Laser," Proc. SPIE 2693, 654-665 (1996).
    [CrossRef]
  29. G. Iooss and D. Joseph, Elementary stability and bifurcation theory, 2nd ed. (Undergraduate texts in Mathematics, 1980).
  30. J. Guckenheimer and P. Holmes, Nonlinear oscillations, Dynamical systems, and Bifurcations of vector fields in Applied Mathematical Sciences, (1991) Vol. 42 .
  31. S. Blin, O. Vaudel, T. Tam, P. Besnard, S. LaRochelle, R. Gabet, and G. St´ephan, "Spectral and Time Phenomena in Optical Injection using Distributed Feedback Semiconductor or Fibre Lasers," in International Workshop on Photonics and Applications (IWPA) (Hano? (Vietnam), 2004).
  32. O. Vaudel, C. Guignard, and P. Besnard, "Synchronization map of two uni-directionally coupled chaotic semiconductor lasers," in EUROMECH Nonlinear Dynamics Conference (ENOC) (Eindhoven (The Netherlands), 2005). Paper 18-427.
  33. O. Vaudel, "Etude de synchronisation de chaos par simple injection optique," PhD thesis, ENSSAT, Rennes I University (2007). (in French).
  34. I. Petitbon, P. Gallion, G. Debarge, and C. Chabran, "Locking bandwidth and relaxation oscillations of an injected-locked semiconducteur laser," IEEE J. Quantum Electron. 24, 148-154 (1988).
    [CrossRef]
  35. O. Vaudel, J.-F. Hayau, and P. Besnard, "Synchronization between optically injected semiconductor lasers on undamped relaxation oscillations," Opt. Quantum Electron. 40, 109-118 (2008). Special issue on Nonlinear Photonics - Contributions from the PHASE and IPSSO 2007 International Workshops.
    [CrossRef]
  36. A. Gavrielides, V. Kovanis, P. M. Varangis, T. Erneux and G. Lythe, "Coexisting periodic attractors in injection locked diode lasers," Quantum Semiclassic. Opt. 9, 785-796 (1997).
    [CrossRef]
  37. S. Wieczorek, T. Simpson, B. Krauskopf, and D. Lenstra, "Global Quantitative Predictions of Complex Laser Dynamics," Phys. Rev. E 65, 045,207(R) (2002).
    [CrossRef]

2005 (1)

S. Wieczorek, B. Krauskopf, T. Simpson, and D. Lenstra, "The dynamical complexity of optically injected semiconductor lasers," Phys. Rep. 416, 1-128 (2005).
[CrossRef]

2003 (1)

S. Blin, C. Guignard, P. Besnard, R. Gabet, G. Stephan, M. Bondiou, "Phase and spectral properties of optically injected semiconductor lasers," Comptes Rendus Physique 4, 687-699 (2003).
[CrossRef]

2000 (1)

S. Blin, G. Stephan, R. Gabet, and P. Besnard, "Amplification process in a laser injected by a narrow-band weak signal," Europhys. Lett. 52, 60-65 (2000).
[CrossRef]

1999 (5)

S. Wieczorek, B. Krauskopf, and D. Lenstra, "A unifying view of bifurcations in a semiconductor laser subject to optical injection," Opt. Commun. 172, 279-295 (1999).
[CrossRef]

J. Troger, "Novel measurement scheme for injection-locking experiments," IEEE J. Quantum Electron. 35, 32-38 (1999).
[CrossRef]

D. L. Boiko, G. M. Stephan and P. Besnard, "Fast polarization switching with memory effect in a vertical cavity surface emitting laser subject to modulated optical injection," J. Appl. Phys. 86, 4096-4099 (1999).
[CrossRef]

S. K. Hwang and J. M. Liu, "Attractors and basins of the locking-unlocking bistability in a semiconductor laser subject to strong optical injection," Opt. Commun. 169, 167-176 (1999).
[CrossRef]

V. Kovanis, T. Erneux and A. Gavrielides, "Largely detuned injection-locked semiconductor lasers," Opt. Commun. 159, 177-183 (1999).
[CrossRef]

1998 (1)

G. Stephan, "Spectral properties of an injected laser," Phys. Rev. A 58, 2467-2471 (1998).
[CrossRef]

1997 (3)

T. Erneux, A. Gavrielides, V. Kovanis, "Low pump stability of an optically injected diode laser," Quantum Semiclassic. Opt. 9, 811-818 (1997).
[CrossRef]

T. B. Simpson, J. M. Liu, K. F. Huang, and K. Tai, "Nonlinear Dynamics Induced by External Optical Injection in Semiconductors Lasers," Quantum Semiclassic. Opt. 9, 765-784 (1997).
[CrossRef]

A. Gavrielides, V. Kovanis, P. M. Varangis, T. Erneux and G. Lythe, "Coexisting periodic attractors in injection locked diode lasers," Quantum Semiclassic. Opt. 9, 785-796 (1997).
[CrossRef]

1996 (2)

A. Gavrielides, V. Kovanis, P. Varangis, T. Erneux, and T. B. Simpson, "Subharmonic Resonances in an Optically Injected Semiconductor Laser," Proc. SPIE 2693, 654-665 (1996).
[CrossRef]

P. C. De Jagher, W. A. van der Graaf, and D. Lenstra, "Relaxation-oscillation phenomena in an injection-locked semiconductor laser," Quantum Semiclassic. Opt. 8, 805-822 (1996).
[CrossRef]

1995 (1)

A. Hohl, H. J. C. van der Linde, R. Roy, G. Goldstein, F. Broner, and S. H. Strogatz, "Scaling Laws for Dynamical Hysteresis in a Multidimensional Laser System," Phys. Rev. Lett. 74, 2220-2223 (1995).
[CrossRef] [PubMed]

1994 (1)

G. H. M. van Tartwijk, H. de Waardt, B. H. Verbeek, and D. Lenstra, "Resonant Optical Amplification in a Laser Diode: Theory and Experiment," IEEE J. Quantum Electron. 30, 1763-1768 (1994).
[CrossRef]

1991 (1)

R. Hui, A. D’Ottavi, A. Mecozzi and P. Spano, "Injection locking in distributed feedback semiconductor lasers," IEEE J. Quantum Electron. 27, 1688-1695 (1991).
[CrossRef]

1988 (1)

I. Petitbon, P. Gallion, G. Debarge, and C. Chabran, "Locking bandwidth and relaxation oscillations of an injected-locked semiconducteur laser," IEEE J. Quantum Electron. 24, 148-154 (1988).
[CrossRef]

1985 (1)

H. Kawaguchi, K. Inoue, T. Matsuoka, and K. Otsuka, "Bistable output characteristics in semiconductor laser injection locking," IEEE J. Quantum Electron. 21, 1314-1317 (1985).
[CrossRef]

1983 (3)

K. Otsuka and H. Iwamura, "Analysis of a Multistable Semiconductor Light Amplifier," IEEE J. Quantum Electron. QE-19, 1184-1186 (1983).
[CrossRef]

K. Otsuka and S. Kobayashi, "Optical Bistability and Nonlinear Resonance in a Resonant-Type Semiconductor Laser Amplifier," Electron. Lett. 19, 262-263 (1983).
[CrossRef]

T. Nakai, J. Ogasawara, and R. Ito, "Optical Bistability in a Semiconductor Laser Amplifier," Jpn. J. Appl. Phys. 22, L310-L312 (1983).
[CrossRef]

1981 (1)

S. Kobayashi and T. Kimura, "Injection locking in AlGaAs semiconductor laser," IEEE J. Quantum Electron. 17, 681-689 (1981).
[CrossRef]

1979 (1)

H. M. Gibbs, S. L. McCall, T. N. C. Venkatesan, A. C. Gossard, A. Passner, and W. Wiegmann, "Optical bistability in semiconductors," Appl. Phys. Lett. 35, 451-453 (1979).
[CrossRef]

1971 (1)

L. E. Erikson and A. Szabo, "Spectral Narrowing of dye Laser Output by injection of Monochromatic Radiation into the Laser Cavity," Appl. Phys. Lett. 18, 433-435 (1971).
[CrossRef]

1966 (1)

H. L. Stover and W. H. Steier, "Locking of laser Oscillators by light injection," Appl. Phys. Lett. 8, 91-93 (1966).
[CrossRef]

Besnard, P.

S. Blin, C. Guignard, P. Besnard, R. Gabet, G. Stephan, M. Bondiou, "Phase and spectral properties of optically injected semiconductor lasers," Comptes Rendus Physique 4, 687-699 (2003).
[CrossRef]

S. Blin, G. Stephan, R. Gabet, and P. Besnard, "Amplification process in a laser injected by a narrow-band weak signal," Europhys. Lett. 52, 60-65 (2000).
[CrossRef]

D. L. Boiko, G. M. Stephan and P. Besnard, "Fast polarization switching with memory effect in a vertical cavity surface emitting laser subject to modulated optical injection," J. Appl. Phys. 86, 4096-4099 (1999).
[CrossRef]

Blin, S.

S. Blin, C. Guignard, P. Besnard, R. Gabet, G. Stephan, M. Bondiou, "Phase and spectral properties of optically injected semiconductor lasers," Comptes Rendus Physique 4, 687-699 (2003).
[CrossRef]

S. Blin, G. Stephan, R. Gabet, and P. Besnard, "Amplification process in a laser injected by a narrow-band weak signal," Europhys. Lett. 52, 60-65 (2000).
[CrossRef]

Boiko, D. L.

D. L. Boiko, G. M. Stephan and P. Besnard, "Fast polarization switching with memory effect in a vertical cavity surface emitting laser subject to modulated optical injection," J. Appl. Phys. 86, 4096-4099 (1999).
[CrossRef]

Bondiou, M.

S. Blin, C. Guignard, P. Besnard, R. Gabet, G. Stephan, M. Bondiou, "Phase and spectral properties of optically injected semiconductor lasers," Comptes Rendus Physique 4, 687-699 (2003).
[CrossRef]

Broner, F.

A. Hohl, H. J. C. van der Linde, R. Roy, G. Goldstein, F. Broner, and S. H. Strogatz, "Scaling Laws for Dynamical Hysteresis in a Multidimensional Laser System," Phys. Rev. Lett. 74, 2220-2223 (1995).
[CrossRef] [PubMed]

Chabran, C.

I. Petitbon, P. Gallion, G. Debarge, and C. Chabran, "Locking bandwidth and relaxation oscillations of an injected-locked semiconducteur laser," IEEE J. Quantum Electron. 24, 148-154 (1988).
[CrossRef]

D’Ottavi, A.

R. Hui, A. D’Ottavi, A. Mecozzi and P. Spano, "Injection locking in distributed feedback semiconductor lasers," IEEE J. Quantum Electron. 27, 1688-1695 (1991).
[CrossRef]

De Jagher, P. C.

P. C. De Jagher, W. A. van der Graaf, and D. Lenstra, "Relaxation-oscillation phenomena in an injection-locked semiconductor laser," Quantum Semiclassic. Opt. 8, 805-822 (1996).
[CrossRef]

de Waardt, H.

G. H. M. van Tartwijk, H. de Waardt, B. H. Verbeek, and D. Lenstra, "Resonant Optical Amplification in a Laser Diode: Theory and Experiment," IEEE J. Quantum Electron. 30, 1763-1768 (1994).
[CrossRef]

Debarge, G.

I. Petitbon, P. Gallion, G. Debarge, and C. Chabran, "Locking bandwidth and relaxation oscillations of an injected-locked semiconducteur laser," IEEE J. Quantum Electron. 24, 148-154 (1988).
[CrossRef]

Erikson, L. E.

L. E. Erikson and A. Szabo, "Spectral Narrowing of dye Laser Output by injection of Monochromatic Radiation into the Laser Cavity," Appl. Phys. Lett. 18, 433-435 (1971).
[CrossRef]

Erneux, T.

V. Kovanis, T. Erneux and A. Gavrielides, "Largely detuned injection-locked semiconductor lasers," Opt. Commun. 159, 177-183 (1999).
[CrossRef]

A. Gavrielides, V. Kovanis, P. M. Varangis, T. Erneux and G. Lythe, "Coexisting periodic attractors in injection locked diode lasers," Quantum Semiclassic. Opt. 9, 785-796 (1997).
[CrossRef]

T. Erneux, A. Gavrielides, V. Kovanis, "Low pump stability of an optically injected diode laser," Quantum Semiclassic. Opt. 9, 811-818 (1997).
[CrossRef]

A. Gavrielides, V. Kovanis, P. Varangis, T. Erneux, and T. B. Simpson, "Subharmonic Resonances in an Optically Injected Semiconductor Laser," Proc. SPIE 2693, 654-665 (1996).
[CrossRef]

Gabet, R.

S. Blin, C. Guignard, P. Besnard, R. Gabet, G. Stephan, M. Bondiou, "Phase and spectral properties of optically injected semiconductor lasers," Comptes Rendus Physique 4, 687-699 (2003).
[CrossRef]

S. Blin, G. Stephan, R. Gabet, and P. Besnard, "Amplification process in a laser injected by a narrow-band weak signal," Europhys. Lett. 52, 60-65 (2000).
[CrossRef]

Gallion, P.

I. Petitbon, P. Gallion, G. Debarge, and C. Chabran, "Locking bandwidth and relaxation oscillations of an injected-locked semiconducteur laser," IEEE J. Quantum Electron. 24, 148-154 (1988).
[CrossRef]

Gavrielides, A.

V. Kovanis, T. Erneux and A. Gavrielides, "Largely detuned injection-locked semiconductor lasers," Opt. Commun. 159, 177-183 (1999).
[CrossRef]

A. Gavrielides, V. Kovanis, P. M. Varangis, T. Erneux and G. Lythe, "Coexisting periodic attractors in injection locked diode lasers," Quantum Semiclassic. Opt. 9, 785-796 (1997).
[CrossRef]

T. Erneux, A. Gavrielides, V. Kovanis, "Low pump stability of an optically injected diode laser," Quantum Semiclassic. Opt. 9, 811-818 (1997).
[CrossRef]

A. Gavrielides, V. Kovanis, P. Varangis, T. Erneux, and T. B. Simpson, "Subharmonic Resonances in an Optically Injected Semiconductor Laser," Proc. SPIE 2693, 654-665 (1996).
[CrossRef]

Gibbs, H. M.

H. M. Gibbs, S. L. McCall, T. N. C. Venkatesan, A. C. Gossard, A. Passner, and W. Wiegmann, "Optical bistability in semiconductors," Appl. Phys. Lett. 35, 451-453 (1979).
[CrossRef]

Goldstein, G.

A. Hohl, H. J. C. van der Linde, R. Roy, G. Goldstein, F. Broner, and S. H. Strogatz, "Scaling Laws for Dynamical Hysteresis in a Multidimensional Laser System," Phys. Rev. Lett. 74, 2220-2223 (1995).
[CrossRef] [PubMed]

Gossard, A. C.

H. M. Gibbs, S. L. McCall, T. N. C. Venkatesan, A. C. Gossard, A. Passner, and W. Wiegmann, "Optical bistability in semiconductors," Appl. Phys. Lett. 35, 451-453 (1979).
[CrossRef]

Guignard, C.

S. Blin, C. Guignard, P. Besnard, R. Gabet, G. Stephan, M. Bondiou, "Phase and spectral properties of optically injected semiconductor lasers," Comptes Rendus Physique 4, 687-699 (2003).
[CrossRef]

Hohl, A.

A. Hohl, H. J. C. van der Linde, R. Roy, G. Goldstein, F. Broner, and S. H. Strogatz, "Scaling Laws for Dynamical Hysteresis in a Multidimensional Laser System," Phys. Rev. Lett. 74, 2220-2223 (1995).
[CrossRef] [PubMed]

Huang, K. F.

T. B. Simpson, J. M. Liu, K. F. Huang, and K. Tai, "Nonlinear Dynamics Induced by External Optical Injection in Semiconductors Lasers," Quantum Semiclassic. Opt. 9, 765-784 (1997).
[CrossRef]

Hui, R.

R. Hui, A. D’Ottavi, A. Mecozzi and P. Spano, "Injection locking in distributed feedback semiconductor lasers," IEEE J. Quantum Electron. 27, 1688-1695 (1991).
[CrossRef]

Hwang, S. K.

S. K. Hwang and J. M. Liu, "Attractors and basins of the locking-unlocking bistability in a semiconductor laser subject to strong optical injection," Opt. Commun. 169, 167-176 (1999).
[CrossRef]

Inoue, K.

H. Kawaguchi, K. Inoue, T. Matsuoka, and K. Otsuka, "Bistable output characteristics in semiconductor laser injection locking," IEEE J. Quantum Electron. 21, 1314-1317 (1985).
[CrossRef]

Ito, R.

T. Nakai, J. Ogasawara, and R. Ito, "Optical Bistability in a Semiconductor Laser Amplifier," Jpn. J. Appl. Phys. 22, L310-L312 (1983).
[CrossRef]

Iwamura, H.

K. Otsuka and H. Iwamura, "Analysis of a Multistable Semiconductor Light Amplifier," IEEE J. Quantum Electron. QE-19, 1184-1186 (1983).
[CrossRef]

Kawaguchi, H.

H. Kawaguchi, K. Inoue, T. Matsuoka, and K. Otsuka, "Bistable output characteristics in semiconductor laser injection locking," IEEE J. Quantum Electron. 21, 1314-1317 (1985).
[CrossRef]

Kimura, T.

S. Kobayashi and T. Kimura, "Injection locking in AlGaAs semiconductor laser," IEEE J. Quantum Electron. 17, 681-689 (1981).
[CrossRef]

Kobayashi, S.

K. Otsuka and S. Kobayashi, "Optical Bistability and Nonlinear Resonance in a Resonant-Type Semiconductor Laser Amplifier," Electron. Lett. 19, 262-263 (1983).
[CrossRef]

S. Kobayashi and T. Kimura, "Injection locking in AlGaAs semiconductor laser," IEEE J. Quantum Electron. 17, 681-689 (1981).
[CrossRef]

Kovanis, V.

V. Kovanis, T. Erneux and A. Gavrielides, "Largely detuned injection-locked semiconductor lasers," Opt. Commun. 159, 177-183 (1999).
[CrossRef]

A. Gavrielides, V. Kovanis, P. M. Varangis, T. Erneux and G. Lythe, "Coexisting periodic attractors in injection locked diode lasers," Quantum Semiclassic. Opt. 9, 785-796 (1997).
[CrossRef]

T. Erneux, A. Gavrielides, V. Kovanis, "Low pump stability of an optically injected diode laser," Quantum Semiclassic. Opt. 9, 811-818 (1997).
[CrossRef]

A. Gavrielides, V. Kovanis, P. Varangis, T. Erneux, and T. B. Simpson, "Subharmonic Resonances in an Optically Injected Semiconductor Laser," Proc. SPIE 2693, 654-665 (1996).
[CrossRef]

Krauskopf, B.

S. Wieczorek, B. Krauskopf, T. Simpson, and D. Lenstra, "The dynamical complexity of optically injected semiconductor lasers," Phys. Rep. 416, 1-128 (2005).
[CrossRef]

S. Wieczorek, B. Krauskopf, and D. Lenstra, "A unifying view of bifurcations in a semiconductor laser subject to optical injection," Opt. Commun. 172, 279-295 (1999).
[CrossRef]

Lenstra, D.

S. Wieczorek, B. Krauskopf, T. Simpson, and D. Lenstra, "The dynamical complexity of optically injected semiconductor lasers," Phys. Rep. 416, 1-128 (2005).
[CrossRef]

S. Wieczorek, B. Krauskopf, and D. Lenstra, "A unifying view of bifurcations in a semiconductor laser subject to optical injection," Opt. Commun. 172, 279-295 (1999).
[CrossRef]

P. C. De Jagher, W. A. van der Graaf, and D. Lenstra, "Relaxation-oscillation phenomena in an injection-locked semiconductor laser," Quantum Semiclassic. Opt. 8, 805-822 (1996).
[CrossRef]

G. H. M. van Tartwijk, H. de Waardt, B. H. Verbeek, and D. Lenstra, "Resonant Optical Amplification in a Laser Diode: Theory and Experiment," IEEE J. Quantum Electron. 30, 1763-1768 (1994).
[CrossRef]

Liu, J. M.

S. K. Hwang and J. M. Liu, "Attractors and basins of the locking-unlocking bistability in a semiconductor laser subject to strong optical injection," Opt. Commun. 169, 167-176 (1999).
[CrossRef]

T. B. Simpson, J. M. Liu, K. F. Huang, and K. Tai, "Nonlinear Dynamics Induced by External Optical Injection in Semiconductors Lasers," Quantum Semiclassic. Opt. 9, 765-784 (1997).
[CrossRef]

Lythe, G.

A. Gavrielides, V. Kovanis, P. M. Varangis, T. Erneux and G. Lythe, "Coexisting periodic attractors in injection locked diode lasers," Quantum Semiclassic. Opt. 9, 785-796 (1997).
[CrossRef]

Matsuoka, T.

H. Kawaguchi, K. Inoue, T. Matsuoka, and K. Otsuka, "Bistable output characteristics in semiconductor laser injection locking," IEEE J. Quantum Electron. 21, 1314-1317 (1985).
[CrossRef]

McCall, S. L.

H. M. Gibbs, S. L. McCall, T. N. C. Venkatesan, A. C. Gossard, A. Passner, and W. Wiegmann, "Optical bistability in semiconductors," Appl. Phys. Lett. 35, 451-453 (1979).
[CrossRef]

Mecozzi, A.

R. Hui, A. D’Ottavi, A. Mecozzi and P. Spano, "Injection locking in distributed feedback semiconductor lasers," IEEE J. Quantum Electron. 27, 1688-1695 (1991).
[CrossRef]

Nakai, T.

T. Nakai, J. Ogasawara, and R. Ito, "Optical Bistability in a Semiconductor Laser Amplifier," Jpn. J. Appl. Phys. 22, L310-L312 (1983).
[CrossRef]

Ogasawara, J.

T. Nakai, J. Ogasawara, and R. Ito, "Optical Bistability in a Semiconductor Laser Amplifier," Jpn. J. Appl. Phys. 22, L310-L312 (1983).
[CrossRef]

Otsuka, K.

H. Kawaguchi, K. Inoue, T. Matsuoka, and K. Otsuka, "Bistable output characteristics in semiconductor laser injection locking," IEEE J. Quantum Electron. 21, 1314-1317 (1985).
[CrossRef]

K. Otsuka and H. Iwamura, "Analysis of a Multistable Semiconductor Light Amplifier," IEEE J. Quantum Electron. QE-19, 1184-1186 (1983).
[CrossRef]

K. Otsuka and S. Kobayashi, "Optical Bistability and Nonlinear Resonance in a Resonant-Type Semiconductor Laser Amplifier," Electron. Lett. 19, 262-263 (1983).
[CrossRef]

Passner, A.

H. M. Gibbs, S. L. McCall, T. N. C. Venkatesan, A. C. Gossard, A. Passner, and W. Wiegmann, "Optical bistability in semiconductors," Appl. Phys. Lett. 35, 451-453 (1979).
[CrossRef]

Petitbon, I.

I. Petitbon, P. Gallion, G. Debarge, and C. Chabran, "Locking bandwidth and relaxation oscillations of an injected-locked semiconducteur laser," IEEE J. Quantum Electron. 24, 148-154 (1988).
[CrossRef]

Roy, R.

A. Hohl, H. J. C. van der Linde, R. Roy, G. Goldstein, F. Broner, and S. H. Strogatz, "Scaling Laws for Dynamical Hysteresis in a Multidimensional Laser System," Phys. Rev. Lett. 74, 2220-2223 (1995).
[CrossRef] [PubMed]

Simpson, T.

S. Wieczorek, B. Krauskopf, T. Simpson, and D. Lenstra, "The dynamical complexity of optically injected semiconductor lasers," Phys. Rep. 416, 1-128 (2005).
[CrossRef]

Simpson, T. B.

T. B. Simpson, J. M. Liu, K. F. Huang, and K. Tai, "Nonlinear Dynamics Induced by External Optical Injection in Semiconductors Lasers," Quantum Semiclassic. Opt. 9, 765-784 (1997).
[CrossRef]

A. Gavrielides, V. Kovanis, P. Varangis, T. Erneux, and T. B. Simpson, "Subharmonic Resonances in an Optically Injected Semiconductor Laser," Proc. SPIE 2693, 654-665 (1996).
[CrossRef]

Spano, P.

R. Hui, A. D’Ottavi, A. Mecozzi and P. Spano, "Injection locking in distributed feedback semiconductor lasers," IEEE J. Quantum Electron. 27, 1688-1695 (1991).
[CrossRef]

St’ephan, G.

S. Blin, C. Guignard, P. Besnard, R. Gabet, G. Stephan, M. Bondiou, "Phase and spectral properties of optically injected semiconductor lasers," Comptes Rendus Physique 4, 687-699 (2003).
[CrossRef]

Steier, W. H.

H. L. Stover and W. H. Steier, "Locking of laser Oscillators by light injection," Appl. Phys. Lett. 8, 91-93 (1966).
[CrossRef]

Stephan, G.

S. Blin, G. Stephan, R. Gabet, and P. Besnard, "Amplification process in a laser injected by a narrow-band weak signal," Europhys. Lett. 52, 60-65 (2000).
[CrossRef]

G. Stephan, "Spectral properties of an injected laser," Phys. Rev. A 58, 2467-2471 (1998).
[CrossRef]

Stephan, G. M.

D. L. Boiko, G. M. Stephan and P. Besnard, "Fast polarization switching with memory effect in a vertical cavity surface emitting laser subject to modulated optical injection," J. Appl. Phys. 86, 4096-4099 (1999).
[CrossRef]

Stover, H. L.

H. L. Stover and W. H. Steier, "Locking of laser Oscillators by light injection," Appl. Phys. Lett. 8, 91-93 (1966).
[CrossRef]

Strogatz, S. H.

A. Hohl, H. J. C. van der Linde, R. Roy, G. Goldstein, F. Broner, and S. H. Strogatz, "Scaling Laws for Dynamical Hysteresis in a Multidimensional Laser System," Phys. Rev. Lett. 74, 2220-2223 (1995).
[CrossRef] [PubMed]

Szabo, A.

L. E. Erikson and A. Szabo, "Spectral Narrowing of dye Laser Output by injection of Monochromatic Radiation into the Laser Cavity," Appl. Phys. Lett. 18, 433-435 (1971).
[CrossRef]

Tai, K.

T. B. Simpson, J. M. Liu, K. F. Huang, and K. Tai, "Nonlinear Dynamics Induced by External Optical Injection in Semiconductors Lasers," Quantum Semiclassic. Opt. 9, 765-784 (1997).
[CrossRef]

Troger, J.

J. Troger, "Novel measurement scheme for injection-locking experiments," IEEE J. Quantum Electron. 35, 32-38 (1999).
[CrossRef]

van der Graaf, W. A.

P. C. De Jagher, W. A. van der Graaf, and D. Lenstra, "Relaxation-oscillation phenomena in an injection-locked semiconductor laser," Quantum Semiclassic. Opt. 8, 805-822 (1996).
[CrossRef]

van der Linde, H. J. C.

A. Hohl, H. J. C. van der Linde, R. Roy, G. Goldstein, F. Broner, and S. H. Strogatz, "Scaling Laws for Dynamical Hysteresis in a Multidimensional Laser System," Phys. Rev. Lett. 74, 2220-2223 (1995).
[CrossRef] [PubMed]

van Tartwijk, G. H. M.

G. H. M. van Tartwijk, H. de Waardt, B. H. Verbeek, and D. Lenstra, "Resonant Optical Amplification in a Laser Diode: Theory and Experiment," IEEE J. Quantum Electron. 30, 1763-1768 (1994).
[CrossRef]

Varangis, P.

A. Gavrielides, V. Kovanis, P. Varangis, T. Erneux, and T. B. Simpson, "Subharmonic Resonances in an Optically Injected Semiconductor Laser," Proc. SPIE 2693, 654-665 (1996).
[CrossRef]

Varangis, P. M.

A. Gavrielides, V. Kovanis, P. M. Varangis, T. Erneux and G. Lythe, "Coexisting periodic attractors in injection locked diode lasers," Quantum Semiclassic. Opt. 9, 785-796 (1997).
[CrossRef]

Venkatesan, T. N. C.

H. M. Gibbs, S. L. McCall, T. N. C. Venkatesan, A. C. Gossard, A. Passner, and W. Wiegmann, "Optical bistability in semiconductors," Appl. Phys. Lett. 35, 451-453 (1979).
[CrossRef]

Verbeek, B. H.

G. H. M. van Tartwijk, H. de Waardt, B. H. Verbeek, and D. Lenstra, "Resonant Optical Amplification in a Laser Diode: Theory and Experiment," IEEE J. Quantum Electron. 30, 1763-1768 (1994).
[CrossRef]

Wieczorek, S.

S. Wieczorek, B. Krauskopf, T. Simpson, and D. Lenstra, "The dynamical complexity of optically injected semiconductor lasers," Phys. Rep. 416, 1-128 (2005).
[CrossRef]

S. Wieczorek, B. Krauskopf, and D. Lenstra, "A unifying view of bifurcations in a semiconductor laser subject to optical injection," Opt. Commun. 172, 279-295 (1999).
[CrossRef]

Wiegmann, W.

H. M. Gibbs, S. L. McCall, T. N. C. Venkatesan, A. C. Gossard, A. Passner, and W. Wiegmann, "Optical bistability in semiconductors," Appl. Phys. Lett. 35, 451-453 (1979).
[CrossRef]

Appl. Phys. Lett. (3)

H. L. Stover and W. H. Steier, "Locking of laser Oscillators by light injection," Appl. Phys. Lett. 8, 91-93 (1966).
[CrossRef]

L. E. Erikson and A. Szabo, "Spectral Narrowing of dye Laser Output by injection of Monochromatic Radiation into the Laser Cavity," Appl. Phys. Lett. 18, 433-435 (1971).
[CrossRef]

H. M. Gibbs, S. L. McCall, T. N. C. Venkatesan, A. C. Gossard, A. Passner, and W. Wiegmann, "Optical bistability in semiconductors," Appl. Phys. Lett. 35, 451-453 (1979).
[CrossRef]

Comptes Rendus Physique (1)

S. Blin, C. Guignard, P. Besnard, R. Gabet, G. Stephan, M. Bondiou, "Phase and spectral properties of optically injected semiconductor lasers," Comptes Rendus Physique 4, 687-699 (2003).
[CrossRef]

Electron. Lett. (1)

K. Otsuka and S. Kobayashi, "Optical Bistability and Nonlinear Resonance in a Resonant-Type Semiconductor Laser Amplifier," Electron. Lett. 19, 262-263 (1983).
[CrossRef]

Europhys. Lett. (1)

S. Blin, G. Stephan, R. Gabet, and P. Besnard, "Amplification process in a laser injected by a narrow-band weak signal," Europhys. Lett. 52, 60-65 (2000).
[CrossRef]

IEEE J. Quantum Electron. (7)

I. Petitbon, P. Gallion, G. Debarge, and C. Chabran, "Locking bandwidth and relaxation oscillations of an injected-locked semiconducteur laser," IEEE J. Quantum Electron. 24, 148-154 (1988).
[CrossRef]

K. Otsuka and H. Iwamura, "Analysis of a Multistable Semiconductor Light Amplifier," IEEE J. Quantum Electron. QE-19, 1184-1186 (1983).
[CrossRef]

S. Kobayashi and T. Kimura, "Injection locking in AlGaAs semiconductor laser," IEEE J. Quantum Electron. 17, 681-689 (1981).
[CrossRef]

H. Kawaguchi, K. Inoue, T. Matsuoka, and K. Otsuka, "Bistable output characteristics in semiconductor laser injection locking," IEEE J. Quantum Electron. 21, 1314-1317 (1985).
[CrossRef]

R. Hui, A. D’Ottavi, A. Mecozzi and P. Spano, "Injection locking in distributed feedback semiconductor lasers," IEEE J. Quantum Electron. 27, 1688-1695 (1991).
[CrossRef]

J. Troger, "Novel measurement scheme for injection-locking experiments," IEEE J. Quantum Electron. 35, 32-38 (1999).
[CrossRef]

G. H. M. van Tartwijk, H. de Waardt, B. H. Verbeek, and D. Lenstra, "Resonant Optical Amplification in a Laser Diode: Theory and Experiment," IEEE J. Quantum Electron. 30, 1763-1768 (1994).
[CrossRef]

J. Appl. Phys. (1)

D. L. Boiko, G. M. Stephan and P. Besnard, "Fast polarization switching with memory effect in a vertical cavity surface emitting laser subject to modulated optical injection," J. Appl. Phys. 86, 4096-4099 (1999).
[CrossRef]

Jpn. J. Appl. Phys. (1)

T. Nakai, J. Ogasawara, and R. Ito, "Optical Bistability in a Semiconductor Laser Amplifier," Jpn. J. Appl. Phys. 22, L310-L312 (1983).
[CrossRef]

Opt. Commun. (3)

S. Wieczorek, B. Krauskopf, and D. Lenstra, "A unifying view of bifurcations in a semiconductor laser subject to optical injection," Opt. Commun. 172, 279-295 (1999).
[CrossRef]

S. K. Hwang and J. M. Liu, "Attractors and basins of the locking-unlocking bistability in a semiconductor laser subject to strong optical injection," Opt. Commun. 169, 167-176 (1999).
[CrossRef]

V. Kovanis, T. Erneux and A. Gavrielides, "Largely detuned injection-locked semiconductor lasers," Opt. Commun. 159, 177-183 (1999).
[CrossRef]

Phys. Rep. (1)

S. Wieczorek, B. Krauskopf, T. Simpson, and D. Lenstra, "The dynamical complexity of optically injected semiconductor lasers," Phys. Rep. 416, 1-128 (2005).
[CrossRef]

Phys. Rev. A (1)

G. Stephan, "Spectral properties of an injected laser," Phys. Rev. A 58, 2467-2471 (1998).
[CrossRef]

Phys. Rev. Lett. (1)

A. Hohl, H. J. C. van der Linde, R. Roy, G. Goldstein, F. Broner, and S. H. Strogatz, "Scaling Laws for Dynamical Hysteresis in a Multidimensional Laser System," Phys. Rev. Lett. 74, 2220-2223 (1995).
[CrossRef] [PubMed]

Proc. SPIE (1)

A. Gavrielides, V. Kovanis, P. Varangis, T. Erneux, and T. B. Simpson, "Subharmonic Resonances in an Optically Injected Semiconductor Laser," Proc. SPIE 2693, 654-665 (1996).
[CrossRef]

Quantum Semiclassic. Opt. (4)

A. Gavrielides, V. Kovanis, P. M. Varangis, T. Erneux and G. Lythe, "Coexisting periodic attractors in injection locked diode lasers," Quantum Semiclassic. Opt. 9, 785-796 (1997).
[CrossRef]

T. B. Simpson, J. M. Liu, K. F. Huang, and K. Tai, "Nonlinear Dynamics Induced by External Optical Injection in Semiconductors Lasers," Quantum Semiclassic. Opt. 9, 765-784 (1997).
[CrossRef]

P. C. De Jagher, W. A. van der Graaf, and D. Lenstra, "Relaxation-oscillation phenomena in an injection-locked semiconductor laser," Quantum Semiclassic. Opt. 8, 805-822 (1996).
[CrossRef]

T. Erneux, A. Gavrielides, V. Kovanis, "Low pump stability of an optically injected diode laser," Quantum Semiclassic. Opt. 9, 811-818 (1997).
[CrossRef]

Other (11)

M. Bondiou, "Etude des proprietes spectrales d’un laser semi-conducteur soumis `a injection optique," PhD thesis, Rennes I University (1999). (in French).

R. Gabet, "Etude experimentale et theorique de l’injection optique dans un laser a semi-conducteurs : application `a la detection de faibles signaux coherents a 1.55 μm," PhD thesis, ENSSAT, Rennes I University (2000). (in French).

S. L. Chuang, Physics of Photonic Devices,( Wiley Series in Pure and Applied Optics, 2nd ed., Wiley, 2009).

S. Blin, "Complements a l’etude exp’erimentale et theorique de l’injection optique dans des lasers a semiconducteurs et des lasers a fibre a 1550 nm," PhD thesis, ENSSAT (Rennes I University, FRANCE) and Facult’e des Sciences et de G’enie (Laval University, QU’EBEC - CANADA) (2003). (in French).

S. Wieczorek, T. Simpson, B. Krauskopf, and D. Lenstra, "Global Quantitative Predictions of Complex Laser Dynamics," Phys. Rev. E 65, 045,207(R) (2002).
[CrossRef]

O. Vaudel, J.-F. Hayau, and P. Besnard, "Synchronization between optically injected semiconductor lasers on undamped relaxation oscillations," Opt. Quantum Electron. 40, 109-118 (2008). Special issue on Nonlinear Photonics - Contributions from the PHASE and IPSSO 2007 International Workshops.
[CrossRef]

G. Iooss and D. Joseph, Elementary stability and bifurcation theory, 2nd ed. (Undergraduate texts in Mathematics, 1980).

J. Guckenheimer and P. Holmes, Nonlinear oscillations, Dynamical systems, and Bifurcations of vector fields in Applied Mathematical Sciences, (1991) Vol. 42 .

S. Blin, O. Vaudel, T. Tam, P. Besnard, S. LaRochelle, R. Gabet, and G. St´ephan, "Spectral and Time Phenomena in Optical Injection using Distributed Feedback Semiconductor or Fibre Lasers," in International Workshop on Photonics and Applications (IWPA) (Hano? (Vietnam), 2004).

O. Vaudel, C. Guignard, and P. Besnard, "Synchronization map of two uni-directionally coupled chaotic semiconductor lasers," in EUROMECH Nonlinear Dynamics Conference (ENOC) (Eindhoven (The Netherlands), 2005). Paper 18-427.

O. Vaudel, "Etude de synchronisation de chaos par simple injection optique," PhD thesis, ENSSAT, Rennes I University (2007). (in French).

Supplementary Material (1)

» Media 1: MOV (2333 KB)     

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Figures (8)

Fig. 1.
Fig. 1.

Experimental setup.

Fig. 2.
Fig. 2.

Experimental observation of optical bistability for an injected slave laser pumped at 1.2 times the threshold. Experimental spectra of the injected slave laser are observed for an increasing (a) or a decreasing (b) injected power. An experimental mapping of the injection regimes is represented in (c). In (a–c), the black color corresponds to the locking regime, the white corresponds to the bimodal regime or the free slave laser. The grey color corresponds to the bistable area. If the detuning or injected power is decreasing, this color corresponds to the locking regime; otherwise it corresponds to a bimodal regime.

Fig. 3.
Fig. 3.

(a) Experimental mapping and bistabilities of the intermodal injection for a slave laser pumped at 1.2 times its threshold. The black area represents the locking region. The white area represents the bimodal regime. The grey areas represent the bistable locking areas: The locking only occurs for decreasing detuning. Black lines represent the percentage of the power of the master peak when the injected slave is bimodal (100% corresponds to the locking regime). (b) Free slave laser spectrum.

Fig. 4.
Fig. 4.

Experimental mapping and bistabilities of the intramodal injection for a slave laser pumped at 4 times its threshold. “L” represents the locking area, “1” is for single wave mixing, “2” for period-doubling wave mixing, “4” for period-quadrupling wave mixing, “C” for chaos, “R” for undamped relaxation oscillation, and the white area represents the free slave injection regime. Thick black curves represent abrupt transitions of the injected slave spectra.

Fig. 5.
Fig. 5.

Experimental FP spectra of different injected SL regimes. The broken vertical line indicates the ML optical frequency (vm ).

Fig. 6.
Fig. 6.

Single frame movie (Media 1) of SL spectrum variation vs detuning. The top-right inset represents the previously described mapping at 4-times the threshold. The bottom bar indicates the different regimes for decreasing and increasing detuning at a glance.

Fig. 7.
Fig. 7.

Numerical mapping and bistabilities of the intramodal injection at 1.3 times its threshold. The black area represents the locking area. The grey area represents the bistable area: The injected SL is frequency-locked only for decreasing detuning.

Fig. 8.
Fig. 8.

Numerical mapping of the intramodal injection at 4 times its threshold. Symbols and colors are the same as in Fig. 4. Figure (a) is obtained for a decreasing detuning while Fig. (b) is for an increasing one.

Tables (1)

Tables Icon

Table 1. Some parameters values for laser diode used.

Equations (2)

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

dEdt=12τc(1+iαH)gdΔnE+κEinj
dΔndt=1τe[jbΔnτeGN(Δn+1nsp)E2]

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