Abstract

We present a reliable and fast technique to experimentally categorise the dynamical state of optically injected two mode and single mode lasers. Based on the experimentally obtained time-traces locked, unlocked and chaotic states are distinguished for varying injection strength and detuning. For the two mode laser, the resulting experimental stability diagram provides a map of the various single mode and two mode regimes and the transitions between them. This stability diagram is in strong agreement with the theoretical predictions from low-dimensional dynamical models for two mode lasers. We also apply our method to the single mode laser and retain the close agreement between theory and experiment.

© 2014 Optical Society of America

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  1. T. Pérez, A. Scirè, G. V. der Sande, P. Colet, and C. R. Mirasso, “Bistability and all-optical switching in semiconductor ring lasers,” Opt. Express 15, 12941–12948 (2007).
    [CrossRef] [PubMed]
  2. S. Wieczorek, B. Krauskopf, T. B. Simpson, and D. Lenstra, “The dynamical complexity of optically injected semiconductor lasers,” Phys. Rep. 416, 1–128 (2005).
    [CrossRef]
  3. I. Gatare, M. Sciamanna, J. Buesa, H. Thienpont, and K. Panajotov, “Nonlinear dynamics accompanying polarization switching in vertical-cavity surface-emitting lasers with orthogonal optical injection,” Appl. Phys. Lett. 88, 101106 (2006).
    [CrossRef]
  4. T. Erneux, E. A. Viktorov, B. Kelleher, D. Goulding, S. P. Hegarty, and G. Huyet, “Optically injected quantum-dot lasers,” Opt. Lett. 35, 937–939 (2010).
    [CrossRef] [PubMed]
  5. B. Lingnau, W. W. Chow, E. Schöll, and K. Lüdge, “Feedback and injection locking instabilities in quantum-dot lasers: a microscopically based bifurcation analysis,” New J. Phys. 15, 093031 (2013).
    [CrossRef]
  6. T. Heil, I. Fischer, W. Elsäßer, B. Krauskopf, K. Green, and A. Gavrielides, “Delay dynamics of semiconductor lasers with short external cavities: Bifurcation scenarios and mechanisms,” Phys. Rev. E 67, 066214 (2003).
    [CrossRef]
  7. D. Goulding, S. P. Hegarty, O. Rasskazov, S. Melnik, M. Hartnett, G. Greene, J. G. McInerney, D. Rachinskii, and G. Huyet, “Excitability in a Quantum Dot Semiconductor Laser with Optical Injection,” Phys. Rev. Lett. 98, 153903 (2007).
    [CrossRef] [PubMed]
  8. K. Schires, A. Hurtado, I. D. Henning, and M. J. Adams, “Polarization and time-resolved dynamics of a 1550-nm VCSEL subject to orthogonally polarized optical injection,” IEEE Photonics Journal 3, 555–563 (2011).
    [CrossRef]
  9. C. Bonatto, M. Feyereisen, S. Barland, M. Giudici, C. Masoller, J. R. R. Leite, and J. R. Tredicce, “Deterministic optical rogue waves,” Phys. Rev. Lett. 107, 053901 (2011).
    [CrossRef] [PubMed]
  10. M. C. Soriano, J. García-Ojalvo, C. R. Mirasso, and I. Fischer, “Complex photonics: Dynamics and applications of delay-coupled semiconductors lasers,” Rev. Mod. Phys. 85, 421–470 (2013).
    [CrossRef]
  11. C. Bonatto and J. A. Gallas, “Accumulation boundaries: codimension-two accumulation of accumulations in phase diagrams of semiconductor lasers, electric circuits, atmospheric and chemical oscillators,” Phil. Trans. R. Soc. A 366, 505–517 (2008).
    [CrossRef]
  12. T. B. Simpson, “Mapping the nonlinear dynamics of a distributed feedback semiconductor laser subject to external optical injection,” Opt. Commun. 215, 135–151 (2003).
    [CrossRef]
  13. S. Osborne, K. Buckley, A. Amann, and S. O’Brien, “All-optical memory based on the injection locking bistability of a two-color laser diode,” Opt. Express 17, 6293–6300 (2009).
    [CrossRef] [PubMed]
  14. S. Osborne, A. Amann, K. Buckley, G. Ryan, S. Hegarty, G. Huyet, and S. O’Brien, “Antiphase dynamics in a multimode semiconductor laser with optical injection,” Phys. Rev. A 79, 023834 (2009).
    [CrossRef]
  15. S. Osborne, A. Amann, D. Bitauld, and S. O’Brien, “On-off intermittency in an optically injected semiconductor laser,” Phys. Rev. E 85, 056204 (2012).
    [CrossRef]
  16. S. O’Brien, A. Amann, R. Fehse, S. Osborne, E. P. O’Reilly, and J. M. Rondinelli, “Spectral manipulation in Fabry-Perot lasers: perturbative inverse scattering approach,” J. Opt. Soc. Am. B 23, 1046–1056 (2006).
    [CrossRef]
  17. A. Wolf, J. B. Swift, H. L. Swinney, and J. A. Vastano, “Determining Lyapunov exponents from a time series,” Physica D 16, 285–317 (1985).
    [CrossRef]

2013 (2)

B. Lingnau, W. W. Chow, E. Schöll, and K. Lüdge, “Feedback and injection locking instabilities in quantum-dot lasers: a microscopically based bifurcation analysis,” New J. Phys. 15, 093031 (2013).
[CrossRef]

M. C. Soriano, J. García-Ojalvo, C. R. Mirasso, and I. Fischer, “Complex photonics: Dynamics and applications of delay-coupled semiconductors lasers,” Rev. Mod. Phys. 85, 421–470 (2013).
[CrossRef]

2012 (1)

S. Osborne, A. Amann, D. Bitauld, and S. O’Brien, “On-off intermittency in an optically injected semiconductor laser,” Phys. Rev. E 85, 056204 (2012).
[CrossRef]

2011 (2)

K. Schires, A. Hurtado, I. D. Henning, and M. J. Adams, “Polarization and time-resolved dynamics of a 1550-nm VCSEL subject to orthogonally polarized optical injection,” IEEE Photonics Journal 3, 555–563 (2011).
[CrossRef]

C. Bonatto, M. Feyereisen, S. Barland, M. Giudici, C. Masoller, J. R. R. Leite, and J. R. Tredicce, “Deterministic optical rogue waves,” Phys. Rev. Lett. 107, 053901 (2011).
[CrossRef] [PubMed]

2010 (1)

2009 (2)

S. Osborne, K. Buckley, A. Amann, and S. O’Brien, “All-optical memory based on the injection locking bistability of a two-color laser diode,” Opt. Express 17, 6293–6300 (2009).
[CrossRef] [PubMed]

S. Osborne, A. Amann, K. Buckley, G. Ryan, S. Hegarty, G. Huyet, and S. O’Brien, “Antiphase dynamics in a multimode semiconductor laser with optical injection,” Phys. Rev. A 79, 023834 (2009).
[CrossRef]

2008 (1)

C. Bonatto and J. A. Gallas, “Accumulation boundaries: codimension-two accumulation of accumulations in phase diagrams of semiconductor lasers, electric circuits, atmospheric and chemical oscillators,” Phil. Trans. R. Soc. A 366, 505–517 (2008).
[CrossRef]

2007 (2)

D. Goulding, S. P. Hegarty, O. Rasskazov, S. Melnik, M. Hartnett, G. Greene, J. G. McInerney, D. Rachinskii, and G. Huyet, “Excitability in a Quantum Dot Semiconductor Laser with Optical Injection,” Phys. Rev. Lett. 98, 153903 (2007).
[CrossRef] [PubMed]

T. Pérez, A. Scirè, G. V. der Sande, P. Colet, and C. R. Mirasso, “Bistability and all-optical switching in semiconductor ring lasers,” Opt. Express 15, 12941–12948 (2007).
[CrossRef] [PubMed]

2006 (2)

I. Gatare, M. Sciamanna, J. Buesa, H. Thienpont, and K. Panajotov, “Nonlinear dynamics accompanying polarization switching in vertical-cavity surface-emitting lasers with orthogonal optical injection,” Appl. Phys. Lett. 88, 101106 (2006).
[CrossRef]

S. O’Brien, A. Amann, R. Fehse, S. Osborne, E. P. O’Reilly, and J. M. Rondinelli, “Spectral manipulation in Fabry-Perot lasers: perturbative inverse scattering approach,” J. Opt. Soc. Am. B 23, 1046–1056 (2006).
[CrossRef]

2005 (1)

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

2003 (2)

T. Heil, I. Fischer, W. Elsäßer, B. Krauskopf, K. Green, and A. Gavrielides, “Delay dynamics of semiconductor lasers with short external cavities: Bifurcation scenarios and mechanisms,” Phys. Rev. E 67, 066214 (2003).
[CrossRef]

T. B. Simpson, “Mapping the nonlinear dynamics of a distributed feedback semiconductor laser subject to external optical injection,” Opt. Commun. 215, 135–151 (2003).
[CrossRef]

1985 (1)

A. Wolf, J. B. Swift, H. L. Swinney, and J. A. Vastano, “Determining Lyapunov exponents from a time series,” Physica D 16, 285–317 (1985).
[CrossRef]

Adams, M. J.

K. Schires, A. Hurtado, I. D. Henning, and M. J. Adams, “Polarization and time-resolved dynamics of a 1550-nm VCSEL subject to orthogonally polarized optical injection,” IEEE Photonics Journal 3, 555–563 (2011).
[CrossRef]

Amann, A.

S. Osborne, A. Amann, D. Bitauld, and S. O’Brien, “On-off intermittency in an optically injected semiconductor laser,” Phys. Rev. E 85, 056204 (2012).
[CrossRef]

S. Osborne, A. Amann, K. Buckley, G. Ryan, S. Hegarty, G. Huyet, and S. O’Brien, “Antiphase dynamics in a multimode semiconductor laser with optical injection,” Phys. Rev. A 79, 023834 (2009).
[CrossRef]

S. Osborne, K. Buckley, A. Amann, and S. O’Brien, “All-optical memory based on the injection locking bistability of a two-color laser diode,” Opt. Express 17, 6293–6300 (2009).
[CrossRef] [PubMed]

S. O’Brien, A. Amann, R. Fehse, S. Osborne, E. P. O’Reilly, and J. M. Rondinelli, “Spectral manipulation in Fabry-Perot lasers: perturbative inverse scattering approach,” J. Opt. Soc. Am. B 23, 1046–1056 (2006).
[CrossRef]

Barland, S.

C. Bonatto, M. Feyereisen, S. Barland, M. Giudici, C. Masoller, J. R. R. Leite, and J. R. Tredicce, “Deterministic optical rogue waves,” Phys. Rev. Lett. 107, 053901 (2011).
[CrossRef] [PubMed]

Bitauld, D.

S. Osborne, A. Amann, D. Bitauld, and S. O’Brien, “On-off intermittency in an optically injected semiconductor laser,” Phys. Rev. E 85, 056204 (2012).
[CrossRef]

Bonatto, C.

C. Bonatto, M. Feyereisen, S. Barland, M. Giudici, C. Masoller, J. R. R. Leite, and J. R. Tredicce, “Deterministic optical rogue waves,” Phys. Rev. Lett. 107, 053901 (2011).
[CrossRef] [PubMed]

C. Bonatto and J. A. Gallas, “Accumulation boundaries: codimension-two accumulation of accumulations in phase diagrams of semiconductor lasers, electric circuits, atmospheric and chemical oscillators,” Phil. Trans. R. Soc. A 366, 505–517 (2008).
[CrossRef]

Buckley, K.

S. Osborne, A. Amann, K. Buckley, G. Ryan, S. Hegarty, G. Huyet, and S. O’Brien, “Antiphase dynamics in a multimode semiconductor laser with optical injection,” Phys. Rev. A 79, 023834 (2009).
[CrossRef]

S. Osborne, K. Buckley, A. Amann, and S. O’Brien, “All-optical memory based on the injection locking bistability of a two-color laser diode,” Opt. Express 17, 6293–6300 (2009).
[CrossRef] [PubMed]

Buesa, J.

I. Gatare, M. Sciamanna, J. Buesa, H. Thienpont, and K. Panajotov, “Nonlinear dynamics accompanying polarization switching in vertical-cavity surface-emitting lasers with orthogonal optical injection,” Appl. Phys. Lett. 88, 101106 (2006).
[CrossRef]

Chow, W. W.

B. Lingnau, W. W. Chow, E. Schöll, and K. Lüdge, “Feedback and injection locking instabilities in quantum-dot lasers: a microscopically based bifurcation analysis,” New J. Phys. 15, 093031 (2013).
[CrossRef]

Colet, P.

der Sande, G. V.

Elsäßer, W.

T. Heil, I. Fischer, W. Elsäßer, B. Krauskopf, K. Green, and A. Gavrielides, “Delay dynamics of semiconductor lasers with short external cavities: Bifurcation scenarios and mechanisms,” Phys. Rev. E 67, 066214 (2003).
[CrossRef]

Erneux, T.

Fehse, R.

Feyereisen, M.

C. Bonatto, M. Feyereisen, S. Barland, M. Giudici, C. Masoller, J. R. R. Leite, and J. R. Tredicce, “Deterministic optical rogue waves,” Phys. Rev. Lett. 107, 053901 (2011).
[CrossRef] [PubMed]

Fischer, I.

M. C. Soriano, J. García-Ojalvo, C. R. Mirasso, and I. Fischer, “Complex photonics: Dynamics and applications of delay-coupled semiconductors lasers,” Rev. Mod. Phys. 85, 421–470 (2013).
[CrossRef]

T. Heil, I. Fischer, W. Elsäßer, B. Krauskopf, K. Green, and A. Gavrielides, “Delay dynamics of semiconductor lasers with short external cavities: Bifurcation scenarios and mechanisms,” Phys. Rev. E 67, 066214 (2003).
[CrossRef]

Gallas, J. A.

C. Bonatto and J. A. Gallas, “Accumulation boundaries: codimension-two accumulation of accumulations in phase diagrams of semiconductor lasers, electric circuits, atmospheric and chemical oscillators,” Phil. Trans. R. Soc. A 366, 505–517 (2008).
[CrossRef]

García-Ojalvo, J.

M. C. Soriano, J. García-Ojalvo, C. R. Mirasso, and I. Fischer, “Complex photonics: Dynamics and applications of delay-coupled semiconductors lasers,” Rev. Mod. Phys. 85, 421–470 (2013).
[CrossRef]

Gatare, I.

I. Gatare, M. Sciamanna, J. Buesa, H. Thienpont, and K. Panajotov, “Nonlinear dynamics accompanying polarization switching in vertical-cavity surface-emitting lasers with orthogonal optical injection,” Appl. Phys. Lett. 88, 101106 (2006).
[CrossRef]

Gavrielides, A.

T. Heil, I. Fischer, W. Elsäßer, B. Krauskopf, K. Green, and A. Gavrielides, “Delay dynamics of semiconductor lasers with short external cavities: Bifurcation scenarios and mechanisms,” Phys. Rev. E 67, 066214 (2003).
[CrossRef]

Giudici, M.

C. Bonatto, M. Feyereisen, S. Barland, M. Giudici, C. Masoller, J. R. R. Leite, and J. R. Tredicce, “Deterministic optical rogue waves,” Phys. Rev. Lett. 107, 053901 (2011).
[CrossRef] [PubMed]

Goulding, D.

T. Erneux, E. A. Viktorov, B. Kelleher, D. Goulding, S. P. Hegarty, and G. Huyet, “Optically injected quantum-dot lasers,” Opt. Lett. 35, 937–939 (2010).
[CrossRef] [PubMed]

D. Goulding, S. P. Hegarty, O. Rasskazov, S. Melnik, M. Hartnett, G. Greene, J. G. McInerney, D. Rachinskii, and G. Huyet, “Excitability in a Quantum Dot Semiconductor Laser with Optical Injection,” Phys. Rev. Lett. 98, 153903 (2007).
[CrossRef] [PubMed]

Green, K.

T. Heil, I. Fischer, W. Elsäßer, B. Krauskopf, K. Green, and A. Gavrielides, “Delay dynamics of semiconductor lasers with short external cavities: Bifurcation scenarios and mechanisms,” Phys. Rev. E 67, 066214 (2003).
[CrossRef]

Greene, G.

D. Goulding, S. P. Hegarty, O. Rasskazov, S. Melnik, M. Hartnett, G. Greene, J. G. McInerney, D. Rachinskii, and G. Huyet, “Excitability in a Quantum Dot Semiconductor Laser with Optical Injection,” Phys. Rev. Lett. 98, 153903 (2007).
[CrossRef] [PubMed]

Hartnett, M.

D. Goulding, S. P. Hegarty, O. Rasskazov, S. Melnik, M. Hartnett, G. Greene, J. G. McInerney, D. Rachinskii, and G. Huyet, “Excitability in a Quantum Dot Semiconductor Laser with Optical Injection,” Phys. Rev. Lett. 98, 153903 (2007).
[CrossRef] [PubMed]

Hegarty, S.

S. Osborne, A. Amann, K. Buckley, G. Ryan, S. Hegarty, G. Huyet, and S. O’Brien, “Antiphase dynamics in a multimode semiconductor laser with optical injection,” Phys. Rev. A 79, 023834 (2009).
[CrossRef]

Hegarty, S. P.

T. Erneux, E. A. Viktorov, B. Kelleher, D. Goulding, S. P. Hegarty, and G. Huyet, “Optically injected quantum-dot lasers,” Opt. Lett. 35, 937–939 (2010).
[CrossRef] [PubMed]

D. Goulding, S. P. Hegarty, O. Rasskazov, S. Melnik, M. Hartnett, G. Greene, J. G. McInerney, D. Rachinskii, and G. Huyet, “Excitability in a Quantum Dot Semiconductor Laser with Optical Injection,” Phys. Rev. Lett. 98, 153903 (2007).
[CrossRef] [PubMed]

Heil, T.

T. Heil, I. Fischer, W. Elsäßer, B. Krauskopf, K. Green, and A. Gavrielides, “Delay dynamics of semiconductor lasers with short external cavities: Bifurcation scenarios and mechanisms,” Phys. Rev. E 67, 066214 (2003).
[CrossRef]

Henning, I. D.

K. Schires, A. Hurtado, I. D. Henning, and M. J. Adams, “Polarization and time-resolved dynamics of a 1550-nm VCSEL subject to orthogonally polarized optical injection,” IEEE Photonics Journal 3, 555–563 (2011).
[CrossRef]

Hurtado, A.

K. Schires, A. Hurtado, I. D. Henning, and M. J. Adams, “Polarization and time-resolved dynamics of a 1550-nm VCSEL subject to orthogonally polarized optical injection,” IEEE Photonics Journal 3, 555–563 (2011).
[CrossRef]

Huyet, G.

T. Erneux, E. A. Viktorov, B. Kelleher, D. Goulding, S. P. Hegarty, and G. Huyet, “Optically injected quantum-dot lasers,” Opt. Lett. 35, 937–939 (2010).
[CrossRef] [PubMed]

S. Osborne, A. Amann, K. Buckley, G. Ryan, S. Hegarty, G. Huyet, and S. O’Brien, “Antiphase dynamics in a multimode semiconductor laser with optical injection,” Phys. Rev. A 79, 023834 (2009).
[CrossRef]

D. Goulding, S. P. Hegarty, O. Rasskazov, S. Melnik, M. Hartnett, G. Greene, J. G. McInerney, D. Rachinskii, and G. Huyet, “Excitability in a Quantum Dot Semiconductor Laser with Optical Injection,” Phys. Rev. Lett. 98, 153903 (2007).
[CrossRef] [PubMed]

Kelleher, B.

Krauskopf, B.

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

T. Heil, I. Fischer, W. Elsäßer, B. Krauskopf, K. Green, and A. Gavrielides, “Delay dynamics of semiconductor lasers with short external cavities: Bifurcation scenarios and mechanisms,” Phys. Rev. E 67, 066214 (2003).
[CrossRef]

Leite, J. R. R.

C. Bonatto, M. Feyereisen, S. Barland, M. Giudici, C. Masoller, J. R. R. Leite, and J. R. Tredicce, “Deterministic optical rogue waves,” Phys. Rev. Lett. 107, 053901 (2011).
[CrossRef] [PubMed]

Lenstra, D.

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

Lingnau, B.

B. Lingnau, W. W. Chow, E. Schöll, and K. Lüdge, “Feedback and injection locking instabilities in quantum-dot lasers: a microscopically based bifurcation analysis,” New J. Phys. 15, 093031 (2013).
[CrossRef]

Lüdge, K.

B. Lingnau, W. W. Chow, E. Schöll, and K. Lüdge, “Feedback and injection locking instabilities in quantum-dot lasers: a microscopically based bifurcation analysis,” New J. Phys. 15, 093031 (2013).
[CrossRef]

Masoller, C.

C. Bonatto, M. Feyereisen, S. Barland, M. Giudici, C. Masoller, J. R. R. Leite, and J. R. Tredicce, “Deterministic optical rogue waves,” Phys. Rev. Lett. 107, 053901 (2011).
[CrossRef] [PubMed]

McInerney, J. G.

D. Goulding, S. P. Hegarty, O. Rasskazov, S. Melnik, M. Hartnett, G. Greene, J. G. McInerney, D. Rachinskii, and G. Huyet, “Excitability in a Quantum Dot Semiconductor Laser with Optical Injection,” Phys. Rev. Lett. 98, 153903 (2007).
[CrossRef] [PubMed]

Melnik, S.

D. Goulding, S. P. Hegarty, O. Rasskazov, S. Melnik, M. Hartnett, G. Greene, J. G. McInerney, D. Rachinskii, and G. Huyet, “Excitability in a Quantum Dot Semiconductor Laser with Optical Injection,” Phys. Rev. Lett. 98, 153903 (2007).
[CrossRef] [PubMed]

Mirasso, C. R.

M. C. Soriano, J. García-Ojalvo, C. R. Mirasso, and I. Fischer, “Complex photonics: Dynamics and applications of delay-coupled semiconductors lasers,” Rev. Mod. Phys. 85, 421–470 (2013).
[CrossRef]

T. Pérez, A. Scirè, G. V. der Sande, P. Colet, and C. R. Mirasso, “Bistability and all-optical switching in semiconductor ring lasers,” Opt. Express 15, 12941–12948 (2007).
[CrossRef] [PubMed]

O’Brien, S.

S. Osborne, A. Amann, D. Bitauld, and S. O’Brien, “On-off intermittency in an optically injected semiconductor laser,” Phys. Rev. E 85, 056204 (2012).
[CrossRef]

S. Osborne, A. Amann, K. Buckley, G. Ryan, S. Hegarty, G. Huyet, and S. O’Brien, “Antiphase dynamics in a multimode semiconductor laser with optical injection,” Phys. Rev. A 79, 023834 (2009).
[CrossRef]

S. Osborne, K. Buckley, A. Amann, and S. O’Brien, “All-optical memory based on the injection locking bistability of a two-color laser diode,” Opt. Express 17, 6293–6300 (2009).
[CrossRef] [PubMed]

S. O’Brien, A. Amann, R. Fehse, S. Osborne, E. P. O’Reilly, and J. M. Rondinelli, “Spectral manipulation in Fabry-Perot lasers: perturbative inverse scattering approach,” J. Opt. Soc. Am. B 23, 1046–1056 (2006).
[CrossRef]

O’Reilly, E. P.

Osborne, S.

S. Osborne, A. Amann, D. Bitauld, and S. O’Brien, “On-off intermittency in an optically injected semiconductor laser,” Phys. Rev. E 85, 056204 (2012).
[CrossRef]

S. Osborne, A. Amann, K. Buckley, G. Ryan, S. Hegarty, G. Huyet, and S. O’Brien, “Antiphase dynamics in a multimode semiconductor laser with optical injection,” Phys. Rev. A 79, 023834 (2009).
[CrossRef]

S. Osborne, K. Buckley, A. Amann, and S. O’Brien, “All-optical memory based on the injection locking bistability of a two-color laser diode,” Opt. Express 17, 6293–6300 (2009).
[CrossRef] [PubMed]

S. O’Brien, A. Amann, R. Fehse, S. Osborne, E. P. O’Reilly, and J. M. Rondinelli, “Spectral manipulation in Fabry-Perot lasers: perturbative inverse scattering approach,” J. Opt. Soc. Am. B 23, 1046–1056 (2006).
[CrossRef]

Panajotov, K.

I. Gatare, M. Sciamanna, J. Buesa, H. Thienpont, and K. Panajotov, “Nonlinear dynamics accompanying polarization switching in vertical-cavity surface-emitting lasers with orthogonal optical injection,” Appl. Phys. Lett. 88, 101106 (2006).
[CrossRef]

Pérez, T.

Rachinskii, D.

D. Goulding, S. P. Hegarty, O. Rasskazov, S. Melnik, M. Hartnett, G. Greene, J. G. McInerney, D. Rachinskii, and G. Huyet, “Excitability in a Quantum Dot Semiconductor Laser with Optical Injection,” Phys. Rev. Lett. 98, 153903 (2007).
[CrossRef] [PubMed]

Rasskazov, O.

D. Goulding, S. P. Hegarty, O. Rasskazov, S. Melnik, M. Hartnett, G. Greene, J. G. McInerney, D. Rachinskii, and G. Huyet, “Excitability in a Quantum Dot Semiconductor Laser with Optical Injection,” Phys. Rev. Lett. 98, 153903 (2007).
[CrossRef] [PubMed]

Rondinelli, J. M.

Ryan, G.

S. Osborne, A. Amann, K. Buckley, G. Ryan, S. Hegarty, G. Huyet, and S. O’Brien, “Antiphase dynamics in a multimode semiconductor laser with optical injection,” Phys. Rev. A 79, 023834 (2009).
[CrossRef]

Schires, K.

K. Schires, A. Hurtado, I. D. Henning, and M. J. Adams, “Polarization and time-resolved dynamics of a 1550-nm VCSEL subject to orthogonally polarized optical injection,” IEEE Photonics Journal 3, 555–563 (2011).
[CrossRef]

Schöll, E.

B. Lingnau, W. W. Chow, E. Schöll, and K. Lüdge, “Feedback and injection locking instabilities in quantum-dot lasers: a microscopically based bifurcation analysis,” New J. Phys. 15, 093031 (2013).
[CrossRef]

Sciamanna, M.

I. Gatare, M. Sciamanna, J. Buesa, H. Thienpont, and K. Panajotov, “Nonlinear dynamics accompanying polarization switching in vertical-cavity surface-emitting lasers with orthogonal optical injection,” Appl. Phys. Lett. 88, 101106 (2006).
[CrossRef]

Scirè, A.

Simpson, T. B.

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

T. B. Simpson, “Mapping the nonlinear dynamics of a distributed feedback semiconductor laser subject to external optical injection,” Opt. Commun. 215, 135–151 (2003).
[CrossRef]

Soriano, M. C.

M. C. Soriano, J. García-Ojalvo, C. R. Mirasso, and I. Fischer, “Complex photonics: Dynamics and applications of delay-coupled semiconductors lasers,” Rev. Mod. Phys. 85, 421–470 (2013).
[CrossRef]

Swift, J. B.

A. Wolf, J. B. Swift, H. L. Swinney, and J. A. Vastano, “Determining Lyapunov exponents from a time series,” Physica D 16, 285–317 (1985).
[CrossRef]

Swinney, H. L.

A. Wolf, J. B. Swift, H. L. Swinney, and J. A. Vastano, “Determining Lyapunov exponents from a time series,” Physica D 16, 285–317 (1985).
[CrossRef]

Thienpont, H.

I. Gatare, M. Sciamanna, J. Buesa, H. Thienpont, and K. Panajotov, “Nonlinear dynamics accompanying polarization switching in vertical-cavity surface-emitting lasers with orthogonal optical injection,” Appl. Phys. Lett. 88, 101106 (2006).
[CrossRef]

Tredicce, J. R.

C. Bonatto, M. Feyereisen, S. Barland, M. Giudici, C. Masoller, J. R. R. Leite, and J. R. Tredicce, “Deterministic optical rogue waves,” Phys. Rev. Lett. 107, 053901 (2011).
[CrossRef] [PubMed]

Vastano, J. A.

A. Wolf, J. B. Swift, H. L. Swinney, and J. A. Vastano, “Determining Lyapunov exponents from a time series,” Physica D 16, 285–317 (1985).
[CrossRef]

Viktorov, E. A.

Wieczorek, S.

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

Wolf, A.

A. Wolf, J. B. Swift, H. L. Swinney, and J. A. Vastano, “Determining Lyapunov exponents from a time series,” Physica D 16, 285–317 (1985).
[CrossRef]

Appl. Phys. Lett. (1)

I. Gatare, M. Sciamanna, J. Buesa, H. Thienpont, and K. Panajotov, “Nonlinear dynamics accompanying polarization switching in vertical-cavity surface-emitting lasers with orthogonal optical injection,” Appl. Phys. Lett. 88, 101106 (2006).
[CrossRef]

IEEE Photonics Journal (1)

K. Schires, A. Hurtado, I. D. Henning, and M. J. Adams, “Polarization and time-resolved dynamics of a 1550-nm VCSEL subject to orthogonally polarized optical injection,” IEEE Photonics Journal 3, 555–563 (2011).
[CrossRef]

J. Opt. Soc. Am. B (1)

New J. Phys. (1)

B. Lingnau, W. W. Chow, E. Schöll, and K. Lüdge, “Feedback and injection locking instabilities in quantum-dot lasers: a microscopically based bifurcation analysis,” New J. Phys. 15, 093031 (2013).
[CrossRef]

Opt. Commun. (1)

T. B. Simpson, “Mapping the nonlinear dynamics of a distributed feedback semiconductor laser subject to external optical injection,” Opt. Commun. 215, 135–151 (2003).
[CrossRef]

Opt. Express (2)

Opt. Lett. (1)

Phil. Trans. R. Soc. A (1)

C. Bonatto and J. A. Gallas, “Accumulation boundaries: codimension-two accumulation of accumulations in phase diagrams of semiconductor lasers, electric circuits, atmospheric and chemical oscillators,” Phil. Trans. R. Soc. A 366, 505–517 (2008).
[CrossRef]

Phys. Rep. (1)

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

Phys. Rev. A (1)

S. Osborne, A. Amann, K. Buckley, G. Ryan, S. Hegarty, G. Huyet, and S. O’Brien, “Antiphase dynamics in a multimode semiconductor laser with optical injection,” Phys. Rev. A 79, 023834 (2009).
[CrossRef]

Phys. Rev. E (2)

S. Osborne, A. Amann, D. Bitauld, and S. O’Brien, “On-off intermittency in an optically injected semiconductor laser,” Phys. Rev. E 85, 056204 (2012).
[CrossRef]

T. Heil, I. Fischer, W. Elsäßer, B. Krauskopf, K. Green, and A. Gavrielides, “Delay dynamics of semiconductor lasers with short external cavities: Bifurcation scenarios and mechanisms,” Phys. Rev. E 67, 066214 (2003).
[CrossRef]

Phys. Rev. Lett. (2)

D. Goulding, S. P. Hegarty, O. Rasskazov, S. Melnik, M. Hartnett, G. Greene, J. G. McInerney, D. Rachinskii, and G. Huyet, “Excitability in a Quantum Dot Semiconductor Laser with Optical Injection,” Phys. Rev. Lett. 98, 153903 (2007).
[CrossRef] [PubMed]

C. Bonatto, M. Feyereisen, S. Barland, M. Giudici, C. Masoller, J. R. R. Leite, and J. R. Tredicce, “Deterministic optical rogue waves,” Phys. Rev. Lett. 107, 053901 (2011).
[CrossRef] [PubMed]

Physica D (1)

A. Wolf, J. B. Swift, H. L. Swinney, and J. A. Vastano, “Determining Lyapunov exponents from a time series,” Physica D 16, 285–317 (1985).
[CrossRef]

Rev. Mod. Phys. (1)

M. C. Soriano, J. García-Ojalvo, C. R. Mirasso, and I. Fischer, “Complex photonics: Dynamics and applications of delay-coupled semiconductors lasers,” Rev. Mod. Phys. 85, 421–470 (2013).
[CrossRef]

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Figures (7)

Fig. 1
Fig. 1

(a) Outline of Experiment. Light from the master laser reaches the slave laser via a modulator and a series of polarisers and beam splitters. The spectrally filtered light from the slave laser and the direct light from the master laser are simultaneously recorded at the oscilloscope. (b) Sample optical spectra from Single Mode and Two Mode Lasers.

Fig. 2
Fig. 2

Top row: Sample time traces for various values of K at Δω = +2.7GHz. Bottom Row: FFT of time traces in Top Row, with detected peaks indicated by full circles. Colour fill represent the identified state as explained in the main text. The red dashed line indicates the intensity threshold used for peak detection. FFTs are shown on a log scale.

Fig. 3
Fig. 3

Experimentally measured average (top row) and standard deviation (bottom row) of injected (left column) and uninjected (right column) modes in the Kω plane.

Fig. 4
Fig. 4

Number of peaks present in the FFT of the experimentally obtained time traces as a function of K and Δω

Fig. 5
Fig. 5

Experimentally recorded dynamics at fixed detuning Δω = +2.7GHz and varying K. Top panel: Power spectrum of injected mode. Middle panel: Time trace for injected mode. Bottom panel: Time trace of uninjected mode. The coloured backgrounds in the middle and bottom panels represent the identified state.

Fig. 6
Fig. 6

Left panels: experimental stability diagrams for the Two Mode laser at P=0.5 (upper) and the Single Mode laser at P=0.5 (lower). Right panels: corresponding theoretical stability diagrams based on numerical time-traces and Lyapunov exponents. Light (dark) colours indicate Two Mode (Single Mode) dynamics. Stable Fixed point (FP) states are green, stable limit cycles (LC) are grey, stable tori (TR) are blue and chaotic (CH) states are yellow and red.

Fig. 7
Fig. 7

Left panel: Experimental stability diagram for the Two Mode laser at P = 0.2. Lower panel: Theoretical stability diagram for the Two Mode laser at P = 0.2. Locked, unlocked and complex dynamical states are identified using the same colour scheme as the Two Mode and Single Mode P = 0.5 configurations.

Equations (3)

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| E ˙ 1 | = 1 2 ( g 1 ( 2 n + 1 ) 1 ) | E 1 |
E ˙ 2 = [ 1 2 ( 1 + i α ) ( g 2 ( 2 n + 1 ) 1 ) i Δ ω ] E 2 + K T
T n ˙ = P n ( 1 + 2 n ) ( g 1 | E 1 | 2 + g 2 | E 2 | 2 )

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