Abstract

We report on the experimental observation of coherence enhancement of noise-induced intermittency in a semiconductor laser subject to optical injection from another laser at the boundary of the frequency-locking regime. The intermittent switches between locked and unlocked states occur more regularly at a certain value of the injecting laser pump current. A shape of probability distribution of the experimental inter-spike-interval fluctuations is used to quantitatively characterize the intermittent behavior.

© 2015 Optical Society of America

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References

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  3. D. Ziemann, R. Aust, B. Lingnau, E. Schölland, and K. Lüdge, “Optical injection enables coherence resonance in quantum-dot lasers,” Eur. Phys. Lett. 103(1), 14002 (2013).
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  8. A. Campos-Mejía, A. N. Pisarchik, and D. A. Arroyo-Almanza, “Noise-induced on–off intermittency in mutually coupled semiconductor lasers,” Chaos Solitons Fractals 54, 96–100 (2013).
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  9. Y. Hong, K. A. Shore, J. S. Lawrence, and D. M. Kane, “Wavelength switching by positively detuned side-mode injection in semiconductor lasers,” Appl. Phys. Lett. 76(22), 3170–3172 (2000).
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    [Crossref] [PubMed]
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    [Crossref] [PubMed]
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    [Crossref]
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2014 (1)

2013 (3)

A. Campos-Mejía, A. N. Pisarchik, and D. A. Arroyo-Almanza, “Noise-induced on–off intermittency in mutually coupled semiconductor lasers,” Chaos Solitons Fractals 54, 96–100 (2013).
[Crossref]

D. Ziemann, R. Aust, B. Lingnau, E. Schölland, and K. Lüdge, “Optical injection enables coherence resonance in quantum-dot lasers,” Eur. Phys. Lett. 103(1), 14002 (2013).
[Crossref]

A. M. Segura, D. Calliari, H. Fort, and B. L. Lan, “Fat tails in marine microbial population fluctuations,” Oikos 122(12), 1739–1745 (2013).
[Crossref]

2012 (2)

S. Osborne, A. Amann, D. Bitauld, and S. O’Brien, “On-off intermittency in an optically injected semiconductor laser,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 85(5), 056204 (2012).
[Crossref] [PubMed]

A. N. Pisarchik, R. Jaimes-Reátegui, R. Sevilla-Escoboza, and G. Huerta-Cuellar, “Multistate intermittency and extreme pulses in a fiber laser,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 86(5), 056219 (2012).
[Crossref] [PubMed]

2010 (1)

B. L. Lan, E. V. Yeoh, and J. A. Ng, “Distribution of detrended stock market data,” Fluct. Noise Lett. 9, 245–257 (2010).

2009 (1)

H. Wei, H. Xiao-Pu, Z. Tao, and W. Bing-Hong, “Heavy-tailed statistics in short-message communication,” Chin. Phys. 26, 028902 (2009).

2008 (1)

G. Huerta-Cuellar, A. N. Pisarchik, and Y. O. Barmenkov, “Experimental characterization of hopping dynamics in a multistable fiber laser,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 78(3), 035202 (2008).
[Crossref] [PubMed]

2005 (2)

S. Wieczorek, B. Krauskopf, T. B. Simpsonc, and D. Lenstra, “The dynamical complexity of optically injected semiconductor lasers,” Phys. Rep. 416(1-2), 1–128 (2005).
[Crossref]

O. V. Ushakov, H. J. Wünsche, F. Henneberger, I. A. Khovanov, L. Schimansky-Geier, and M. A. Zaks, “Coherence resonance near a Hopf bifurcation,” Phys. Rev. Lett. 95(12), 123903 (2005).
[Crossref] [PubMed]

2003 (1)

W.-S. Lam, P. N. Guzdar, and R. Roy, “Effect of spontaneous emission noise and modulation on semiconductor lasers near threshold with optical feedback,” Int. J. Mod. Phys. B 17(22n24), 4123–4138 (2003).
[Crossref]

2002 (1)

A. N. Pisarchik and V. J. Pinto-Robledo, “Experimental observation of two-state on-off intermittency,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 66(2), 027203 (2002).
[Crossref] [PubMed]

2000 (2)

Y. Hong, K. A. Shore, J. S. Lawrence, and D. M. Kane, “Wavelength switching by positively detuned side-mode injection in semiconductor lasers,” Appl. Phys. Lett. 76(22), 3170–3172 (2000).
[Crossref]

G. Giacomelli, M. Giudici, S. Balle, and J. R. Tredicce, “Experimental evidence of coherence resonance in an optical system,” Phys. Rev. Lett. 84(15), 3298–3301 (2000).
[Crossref] [PubMed]

1999 (3)

A. M. Yacomotti, M. C. Eguia, J. Aliaga, O. E. Martinez, G. B. Mindlin, and A. Lipsich, “Interspike time distribution in noise driven excitable systems,” Phys. Rev. Lett. 83(2), 292–295 (1999).
[Crossref]

J. L. A. Dubbeldam, B. Krauskopf, and D. Lenstra, “Excitability and coherence resonance in lasers with saturable absorber,” Phys. Rev. E Stat. Phys. Plasmas Fluids Relat. Interdiscip. Topics 60(6), 6580–6588 (1999).
[Crossref] [PubMed]

J. B. Gao, S. K. Hwang, and J. M. Liu, “Effects of intrinsic spontaneous-emission noise on the nonlinear dynamics of an optically injected semiconductor laser,” Phys. Rev. A 59(2), 1582–1585 (1999).
[Crossref]

1997 (1)

A. S. Pikovsky and J. Kurths, “Coherence resonance in a noise-driven excitable system,” Phys. Rev. Lett. 78(5), 775–778 (1997).
[Crossref]

1995 (1)

Y.-C. Lai and C. Grebogi, “Intermingled basins and two-state on-off intermittency,” Phys. Rev. E Stat. Phys. Plasmas Fluids Relat. Interdiscip. Topics 52(4), R3313–R3316 (1995).
[Crossref] [PubMed]

1994 (1)

J. F. Heagy, N. Platt, and S. M. Hammel, “Characterization of on-off intermittency,” Phys. Rev. E Stat. Phys. Plasmas Fluids Relat. Interdiscip. Topics 49(2), 1140–1150 (1994).
[Crossref] [PubMed]

1993 (2)

H. Gang, T. Ditzinger, C. Z. Ning, and H. Haken, “Stochastic resonance without external periodic force,” Phys. Rev. Lett. 71(6), 807–810 (1993).
[Crossref] [PubMed]

N. Platt, E. A. Spiegel, and C. Tresser, “On-off intermittency: A mechanism for bursting,” Phys. Rev. Lett. 70(3), 279–282 (1993).
[Crossref] [PubMed]

1989 (1)

J. K. Bhattacharjee and K. Banerjee, “Kramers time in bistable potentials,” J. Phys. A 22(24), L1141–L1146 (1989).
[Crossref]

1988 (1)

1985 (1)

D. H. Kawaguchi, K. Inoue, T. Matsuoka, and K. Otsuka, “Bistable output characteristics in semiconductor laser injection locking,” IEEE J. Quantum Electron. 21(9), 1314–1317 (1985).
[Crossref]

1980 (1)

Y. Pomeau and P. Manneville, “Intermittent transition to turbulence in dissipative dynamical systems,” Commun. Math. Phys. 74(2), 189–197 (1980).
[Crossref]

Aliaga, J.

A. M. Yacomotti, M. C. Eguia, J. Aliaga, O. E. Martinez, G. B. Mindlin, and A. Lipsich, “Interspike time distribution in noise driven excitable systems,” Phys. Rev. Lett. 83(2), 292–295 (1999).
[Crossref]

Amann, A.

D. O’Shea, S. Osborne, N. Blackbeard, D. Goulding, B. Kelleher, and A. Amann, “Experimental classification of dynamical regimes in optically injected lasers,” Opt. Express 22(18), 21701–21710 (2014).
[Crossref] [PubMed]

S. Osborne, A. Amann, D. Bitauld, and S. O’Brien, “On-off intermittency in an optically injected semiconductor laser,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 85(5), 056204 (2012).
[Crossref] [PubMed]

Arroyo-Almanza, D. A.

A. Campos-Mejía, A. N. Pisarchik, and D. A. Arroyo-Almanza, “Noise-induced on–off intermittency in mutually coupled semiconductor lasers,” Chaos Solitons Fractals 54, 96–100 (2013).
[Crossref]

Aust, R.

D. Ziemann, R. Aust, B. Lingnau, E. Schölland, and K. Lüdge, “Optical injection enables coherence resonance in quantum-dot lasers,” Eur. Phys. Lett. 103(1), 14002 (2013).
[Crossref]

Balle, S.

G. Giacomelli, M. Giudici, S. Balle, and J. R. Tredicce, “Experimental evidence of coherence resonance in an optical system,” Phys. Rev. Lett. 84(15), 3298–3301 (2000).
[Crossref] [PubMed]

Banerjee, K.

J. K. Bhattacharjee and K. Banerjee, “Kramers time in bistable potentials,” J. Phys. A 22(24), L1141–L1146 (1989).
[Crossref]

Barmenkov, Y. O.

G. Huerta-Cuellar, A. N. Pisarchik, and Y. O. Barmenkov, “Experimental characterization of hopping dynamics in a multistable fiber laser,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 78(3), 035202 (2008).
[Crossref] [PubMed]

Bhattacharjee, J. K.

J. K. Bhattacharjee and K. Banerjee, “Kramers time in bistable potentials,” J. Phys. A 22(24), L1141–L1146 (1989).
[Crossref]

Bing-Hong, W.

H. Wei, H. Xiao-Pu, Z. Tao, and W. Bing-Hong, “Heavy-tailed statistics in short-message communication,” Chin. Phys. 26, 028902 (2009).

Bitauld, D.

S. Osborne, A. Amann, D. Bitauld, and S. O’Brien, “On-off intermittency in an optically injected semiconductor laser,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 85(5), 056204 (2012).
[Crossref] [PubMed]

Blackbeard, N.

Calliari, D.

A. M. Segura, D. Calliari, H. Fort, and B. L. Lan, “Fat tails in marine microbial population fluctuations,” Oikos 122(12), 1739–1745 (2013).
[Crossref]

Campos-Mejía, A.

A. Campos-Mejía, A. N. Pisarchik, and D. A. Arroyo-Almanza, “Noise-induced on–off intermittency in mutually coupled semiconductor lasers,” Chaos Solitons Fractals 54, 96–100 (2013).
[Crossref]

Ditzinger, T.

H. Gang, T. Ditzinger, C. Z. Ning, and H. Haken, “Stochastic resonance without external periodic force,” Phys. Rev. Lett. 71(6), 807–810 (1993).
[Crossref] [PubMed]

Dubbeldam, J. L. A.

J. L. A. Dubbeldam, B. Krauskopf, and D. Lenstra, “Excitability and coherence resonance in lasers with saturable absorber,” Phys. Rev. E Stat. Phys. Plasmas Fluids Relat. Interdiscip. Topics 60(6), 6580–6588 (1999).
[Crossref] [PubMed]

Eguia, M. C.

A. M. Yacomotti, M. C. Eguia, J. Aliaga, O. E. Martinez, G. B. Mindlin, and A. Lipsich, “Interspike time distribution in noise driven excitable systems,” Phys. Rev. Lett. 83(2), 292–295 (1999).
[Crossref]

Fort, H.

A. M. Segura, D. Calliari, H. Fort, and B. L. Lan, “Fat tails in marine microbial population fluctuations,” Oikos 122(12), 1739–1745 (2013).
[Crossref]

Gang, H.

H. Gang, T. Ditzinger, C. Z. Ning, and H. Haken, “Stochastic resonance without external periodic force,” Phys. Rev. Lett. 71(6), 807–810 (1993).
[Crossref] [PubMed]

Gao, J. B.

J. B. Gao, S. K. Hwang, and J. M. Liu, “Effects of intrinsic spontaneous-emission noise on the nonlinear dynamics of an optically injected semiconductor laser,” Phys. Rev. A 59(2), 1582–1585 (1999).
[Crossref]

Giacomelli, G.

G. Giacomelli, M. Giudici, S. Balle, and J. R. Tredicce, “Experimental evidence of coherence resonance in an optical system,” Phys. Rev. Lett. 84(15), 3298–3301 (2000).
[Crossref] [PubMed]

Giudici, M.

G. Giacomelli, M. Giudici, S. Balle, and J. R. Tredicce, “Experimental evidence of coherence resonance in an optical system,” Phys. Rev. Lett. 84(15), 3298–3301 (2000).
[Crossref] [PubMed]

Goulding, D.

Grebogi, C.

Y.-C. Lai and C. Grebogi, “Intermingled basins and two-state on-off intermittency,” Phys. Rev. E Stat. Phys. Plasmas Fluids Relat. Interdiscip. Topics 52(4), R3313–R3316 (1995).
[Crossref] [PubMed]

Guzdar, P. N.

W.-S. Lam, P. N. Guzdar, and R. Roy, “Effect of spontaneous emission noise and modulation on semiconductor lasers near threshold with optical feedback,” Int. J. Mod. Phys. B 17(22n24), 4123–4138 (2003).
[Crossref]

Haken, H.

H. Gang, T. Ditzinger, C. Z. Ning, and H. Haken, “Stochastic resonance without external periodic force,” Phys. Rev. Lett. 71(6), 807–810 (1993).
[Crossref] [PubMed]

Hammel, S. M.

J. F. Heagy, N. Platt, and S. M. Hammel, “Characterization of on-off intermittency,” Phys. Rev. E Stat. Phys. Plasmas Fluids Relat. Interdiscip. Topics 49(2), 1140–1150 (1994).
[Crossref] [PubMed]

Heagy, J. F.

J. F. Heagy, N. Platt, and S. M. Hammel, “Characterization of on-off intermittency,” Phys. Rev. E Stat. Phys. Plasmas Fluids Relat. Interdiscip. Topics 49(2), 1140–1150 (1994).
[Crossref] [PubMed]

Henneberger, F.

O. V. Ushakov, H. J. Wünsche, F. Henneberger, I. A. Khovanov, L. Schimansky-Geier, and M. A. Zaks, “Coherence resonance near a Hopf bifurcation,” Phys. Rev. Lett. 95(12), 123903 (2005).
[Crossref] [PubMed]

Hong, Y.

Y. Hong, K. A. Shore, J. S. Lawrence, and D. M. Kane, “Wavelength switching by positively detuned side-mode injection in semiconductor lasers,” Appl. Phys. Lett. 76(22), 3170–3172 (2000).
[Crossref]

Huerta-Cuellar, G.

A. N. Pisarchik, R. Jaimes-Reátegui, R. Sevilla-Escoboza, and G. Huerta-Cuellar, “Multistate intermittency and extreme pulses in a fiber laser,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 86(5), 056219 (2012).
[Crossref] [PubMed]

G. Huerta-Cuellar, A. N. Pisarchik, and Y. O. Barmenkov, “Experimental characterization of hopping dynamics in a multistable fiber laser,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 78(3), 035202 (2008).
[Crossref] [PubMed]

Hwang, S. K.

J. B. Gao, S. K. Hwang, and J. M. Liu, “Effects of intrinsic spontaneous-emission noise on the nonlinear dynamics of an optically injected semiconductor laser,” Phys. Rev. A 59(2), 1582–1585 (1999).
[Crossref]

Inoue, K.

D. H. Kawaguchi, K. Inoue, T. Matsuoka, and K. Otsuka, “Bistable output characteristics in semiconductor laser injection locking,” IEEE J. Quantum Electron. 21(9), 1314–1317 (1985).
[Crossref]

Jaimes-Reátegui, R.

A. N. Pisarchik, R. Jaimes-Reátegui, R. Sevilla-Escoboza, and G. Huerta-Cuellar, “Multistate intermittency and extreme pulses in a fiber laser,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 86(5), 056219 (2012).
[Crossref] [PubMed]

Kane, D. M.

Y. Hong, K. A. Shore, J. S. Lawrence, and D. M. Kane, “Wavelength switching by positively detuned side-mode injection in semiconductor lasers,” Appl. Phys. Lett. 76(22), 3170–3172 (2000).
[Crossref]

Kawaguchi, D. H.

D. H. Kawaguchi, K. Inoue, T. Matsuoka, and K. Otsuka, “Bistable output characteristics in semiconductor laser injection locking,” IEEE J. Quantum Electron. 21(9), 1314–1317 (1985).
[Crossref]

Kelleher, B.

Khovanov, I. A.

O. V. Ushakov, H. J. Wünsche, F. Henneberger, I. A. Khovanov, L. Schimansky-Geier, and M. A. Zaks, “Coherence resonance near a Hopf bifurcation,” Phys. Rev. Lett. 95(12), 123903 (2005).
[Crossref] [PubMed]

Krauskopf, B.

S. Wieczorek, B. Krauskopf, T. B. Simpsonc, and D. Lenstra, “The dynamical complexity of optically injected semiconductor lasers,” Phys. Rep. 416(1-2), 1–128 (2005).
[Crossref]

J. L. A. Dubbeldam, B. Krauskopf, and D. Lenstra, “Excitability and coherence resonance in lasers with saturable absorber,” Phys. Rev. E Stat. Phys. Plasmas Fluids Relat. Interdiscip. Topics 60(6), 6580–6588 (1999).
[Crossref] [PubMed]

Kurths, J.

A. S. Pikovsky and J. Kurths, “Coherence resonance in a noise-driven excitable system,” Phys. Rev. Lett. 78(5), 775–778 (1997).
[Crossref]

Lai, Y.-C.

Y.-C. Lai and C. Grebogi, “Intermingled basins and two-state on-off intermittency,” Phys. Rev. E Stat. Phys. Plasmas Fluids Relat. Interdiscip. Topics 52(4), R3313–R3316 (1995).
[Crossref] [PubMed]

Lam, W.-S.

W.-S. Lam, P. N. Guzdar, and R. Roy, “Effect of spontaneous emission noise and modulation on semiconductor lasers near threshold with optical feedback,” Int. J. Mod. Phys. B 17(22n24), 4123–4138 (2003).
[Crossref]

Lan, B. L.

A. M. Segura, D. Calliari, H. Fort, and B. L. Lan, “Fat tails in marine microbial population fluctuations,” Oikos 122(12), 1739–1745 (2013).
[Crossref]

B. L. Lan, E. V. Yeoh, and J. A. Ng, “Distribution of detrended stock market data,” Fluct. Noise Lett. 9, 245–257 (2010).

Lawrence, J. S.

Y. Hong, K. A. Shore, J. S. Lawrence, and D. M. Kane, “Wavelength switching by positively detuned side-mode injection in semiconductor lasers,” Appl. Phys. Lett. 76(22), 3170–3172 (2000).
[Crossref]

Le Berre, M.

Lenstra, D.

S. Wieczorek, B. Krauskopf, T. B. Simpsonc, and D. Lenstra, “The dynamical complexity of optically injected semiconductor lasers,” Phys. Rep. 416(1-2), 1–128 (2005).
[Crossref]

J. L. A. Dubbeldam, B. Krauskopf, and D. Lenstra, “Excitability and coherence resonance in lasers with saturable absorber,” Phys. Rev. E Stat. Phys. Plasmas Fluids Relat. Interdiscip. Topics 60(6), 6580–6588 (1999).
[Crossref] [PubMed]

Lingnau, B.

D. Ziemann, R. Aust, B. Lingnau, E. Schölland, and K. Lüdge, “Optical injection enables coherence resonance in quantum-dot lasers,” Eur. Phys. Lett. 103(1), 14002 (2013).
[Crossref]

Lipsich, A.

A. M. Yacomotti, M. C. Eguia, J. Aliaga, O. E. Martinez, G. B. Mindlin, and A. Lipsich, “Interspike time distribution in noise driven excitable systems,” Phys. Rev. Lett. 83(2), 292–295 (1999).
[Crossref]

Liu, J. M.

J. B. Gao, S. K. Hwang, and J. M. Liu, “Effects of intrinsic spontaneous-emission noise on the nonlinear dynamics of an optically injected semiconductor laser,” Phys. Rev. A 59(2), 1582–1585 (1999).
[Crossref]

Lüdge, K.

D. Ziemann, R. Aust, B. Lingnau, E. Schölland, and K. Lüdge, “Optical injection enables coherence resonance in quantum-dot lasers,” Eur. Phys. Lett. 103(1), 14002 (2013).
[Crossref]

Manneville, P.

Y. Pomeau and P. Manneville, “Intermittent transition to turbulence in dissipative dynamical systems,” Commun. Math. Phys. 74(2), 189–197 (1980).
[Crossref]

Martinez, O. E.

A. M. Yacomotti, M. C. Eguia, J. Aliaga, O. E. Martinez, G. B. Mindlin, and A. Lipsich, “Interspike time distribution in noise driven excitable systems,” Phys. Rev. Lett. 83(2), 292–295 (1999).
[Crossref]

Matsuoka, T.

D. H. Kawaguchi, K. Inoue, T. Matsuoka, and K. Otsuka, “Bistable output characteristics in semiconductor laser injection locking,” IEEE J. Quantum Electron. 21(9), 1314–1317 (1985).
[Crossref]

Mindlin, G. B.

A. M. Yacomotti, M. C. Eguia, J. Aliaga, O. E. Martinez, G. B. Mindlin, and A. Lipsich, “Interspike time distribution in noise driven excitable systems,” Phys. Rev. Lett. 83(2), 292–295 (1999).
[Crossref]

Ng, J. A.

B. L. Lan, E. V. Yeoh, and J. A. Ng, “Distribution of detrended stock market data,” Fluct. Noise Lett. 9, 245–257 (2010).

Ning, C. Z.

H. Gang, T. Ditzinger, C. Z. Ning, and H. Haken, “Stochastic resonance without external periodic force,” Phys. Rev. Lett. 71(6), 807–810 (1993).
[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 Stat. Nonlin. Soft Matter Phys. 85(5), 056204 (2012).
[Crossref] [PubMed]

O’Shea, D.

Osborne, S.

D. O’Shea, S. Osborne, N. Blackbeard, D. Goulding, B. Kelleher, and A. Amann, “Experimental classification of dynamical regimes in optically injected lasers,” Opt. Express 22(18), 21701–21710 (2014).
[Crossref] [PubMed]

S. Osborne, A. Amann, D. Bitauld, and S. O’Brien, “On-off intermittency in an optically injected semiconductor laser,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 85(5), 056204 (2012).
[Crossref] [PubMed]

Otsuka, K.

D. H. Kawaguchi, K. Inoue, T. Matsuoka, and K. Otsuka, “Bistable output characteristics in semiconductor laser injection locking,” IEEE J. Quantum Electron. 21(9), 1314–1317 (1985).
[Crossref]

Pikovsky, A. S.

A. S. Pikovsky and J. Kurths, “Coherence resonance in a noise-driven excitable system,” Phys. Rev. Lett. 78(5), 775–778 (1997).
[Crossref]

Pinto-Robledo, V. J.

A. N. Pisarchik and V. J. Pinto-Robledo, “Experimental observation of two-state on-off intermittency,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 66(2), 027203 (2002).
[Crossref] [PubMed]

Pisarchik, A. N.

A. Campos-Mejía, A. N. Pisarchik, and D. A. Arroyo-Almanza, “Noise-induced on–off intermittency in mutually coupled semiconductor lasers,” Chaos Solitons Fractals 54, 96–100 (2013).
[Crossref]

A. N. Pisarchik, R. Jaimes-Reátegui, R. Sevilla-Escoboza, and G. Huerta-Cuellar, “Multistate intermittency and extreme pulses in a fiber laser,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 86(5), 056219 (2012).
[Crossref] [PubMed]

G. Huerta-Cuellar, A. N. Pisarchik, and Y. O. Barmenkov, “Experimental characterization of hopping dynamics in a multistable fiber laser,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 78(3), 035202 (2008).
[Crossref] [PubMed]

A. N. Pisarchik and V. J. Pinto-Robledo, “Experimental observation of two-state on-off intermittency,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 66(2), 027203 (2002).
[Crossref] [PubMed]

Platt, N.

J. F. Heagy, N. Platt, and S. M. Hammel, “Characterization of on-off intermittency,” Phys. Rev. E Stat. Phys. Plasmas Fluids Relat. Interdiscip. Topics 49(2), 1140–1150 (1994).
[Crossref] [PubMed]

N. Platt, E. A. Spiegel, and C. Tresser, “On-off intermittency: A mechanism for bursting,” Phys. Rev. Lett. 70(3), 279–282 (1993).
[Crossref] [PubMed]

Pomeau, Y.

Y. Pomeau and P. Manneville, “Intermittent transition to turbulence in dissipative dynamical systems,” Commun. Math. Phys. 74(2), 189–197 (1980).
[Crossref]

Ressayre, E.

Roy, R.

W.-S. Lam, P. N. Guzdar, and R. Roy, “Effect of spontaneous emission noise and modulation on semiconductor lasers near threshold with optical feedback,” Int. J. Mod. Phys. B 17(22n24), 4123–4138 (2003).
[Crossref]

Schimansky-Geier, L.

O. V. Ushakov, H. J. Wünsche, F. Henneberger, I. A. Khovanov, L. Schimansky-Geier, and M. A. Zaks, “Coherence resonance near a Hopf bifurcation,” Phys. Rev. Lett. 95(12), 123903 (2005).
[Crossref] [PubMed]

Schölland, E.

D. Ziemann, R. Aust, B. Lingnau, E. Schölland, and K. Lüdge, “Optical injection enables coherence resonance in quantum-dot lasers,” Eur. Phys. Lett. 103(1), 14002 (2013).
[Crossref]

Segura, A. M.

A. M. Segura, D. Calliari, H. Fort, and B. L. Lan, “Fat tails in marine microbial population fluctuations,” Oikos 122(12), 1739–1745 (2013).
[Crossref]

Sevilla-Escoboza, R.

A. N. Pisarchik, R. Jaimes-Reátegui, R. Sevilla-Escoboza, and G. Huerta-Cuellar, “Multistate intermittency and extreme pulses in a fiber laser,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 86(5), 056219 (2012).
[Crossref] [PubMed]

Shore, K. A.

Y. Hong, K. A. Shore, J. S. Lawrence, and D. M. Kane, “Wavelength switching by positively detuned side-mode injection in semiconductor lasers,” Appl. Phys. Lett. 76(22), 3170–3172 (2000).
[Crossref]

Simpsonc, T. B.

S. Wieczorek, B. Krauskopf, T. B. Simpsonc, and D. Lenstra, “The dynamical complexity of optically injected semiconductor lasers,” Phys. Rep. 416(1-2), 1–128 (2005).
[Crossref]

Spiegel, E. A.

N. Platt, E. A. Spiegel, and C. Tresser, “On-off intermittency: A mechanism for bursting,” Phys. Rev. Lett. 70(3), 279–282 (1993).
[Crossref] [PubMed]

Tallet, A.

Tao, Z.

H. Wei, H. Xiao-Pu, Z. Tao, and W. Bing-Hong, “Heavy-tailed statistics in short-message communication,” Chin. Phys. 26, 028902 (2009).

Tredicce, J. R.

G. Giacomelli, M. Giudici, S. Balle, and J. R. Tredicce, “Experimental evidence of coherence resonance in an optical system,” Phys. Rev. Lett. 84(15), 3298–3301 (2000).
[Crossref] [PubMed]

Tresser, C.

N. Platt, E. A. Spiegel, and C. Tresser, “On-off intermittency: A mechanism for bursting,” Phys. Rev. Lett. 70(3), 279–282 (1993).
[Crossref] [PubMed]

Ushakov, O. V.

O. V. Ushakov, H. J. Wünsche, F. Henneberger, I. A. Khovanov, L. Schimansky-Geier, and M. A. Zaks, “Coherence resonance near a Hopf bifurcation,” Phys. Rev. Lett. 95(12), 123903 (2005).
[Crossref] [PubMed]

Wei, H.

H. Wei, H. Xiao-Pu, Z. Tao, and W. Bing-Hong, “Heavy-tailed statistics in short-message communication,” Chin. Phys. 26, 028902 (2009).

Wieczorek, S.

S. Wieczorek, B. Krauskopf, T. B. Simpsonc, and D. Lenstra, “The dynamical complexity of optically injected semiconductor lasers,” Phys. Rep. 416(1-2), 1–128 (2005).
[Crossref]

Wünsche, H. J.

O. V. Ushakov, H. J. Wünsche, F. Henneberger, I. A. Khovanov, L. Schimansky-Geier, and M. A. Zaks, “Coherence resonance near a Hopf bifurcation,” Phys. Rev. Lett. 95(12), 123903 (2005).
[Crossref] [PubMed]

Xiao-Pu, H.

H. Wei, H. Xiao-Pu, Z. Tao, and W. Bing-Hong, “Heavy-tailed statistics in short-message communication,” Chin. Phys. 26, 028902 (2009).

Yacomotti, A. M.

A. M. Yacomotti, M. C. Eguia, J. Aliaga, O. E. Martinez, G. B. Mindlin, and A. Lipsich, “Interspike time distribution in noise driven excitable systems,” Phys. Rev. Lett. 83(2), 292–295 (1999).
[Crossref]

Yeoh, E. V.

B. L. Lan, E. V. Yeoh, and J. A. Ng, “Distribution of detrended stock market data,” Fluct. Noise Lett. 9, 245–257 (2010).

Zaks, M. A.

O. V. Ushakov, H. J. Wünsche, F. Henneberger, I. A. Khovanov, L. Schimansky-Geier, and M. A. Zaks, “Coherence resonance near a Hopf bifurcation,” Phys. Rev. Lett. 95(12), 123903 (2005).
[Crossref] [PubMed]

Ziemann, D.

D. Ziemann, R. Aust, B. Lingnau, E. Schölland, and K. Lüdge, “Optical injection enables coherence resonance in quantum-dot lasers,” Eur. Phys. Lett. 103(1), 14002 (2013).
[Crossref]

Appl. Phys. Lett. (1)

Y. Hong, K. A. Shore, J. S. Lawrence, and D. M. Kane, “Wavelength switching by positively detuned side-mode injection in semiconductor lasers,” Appl. Phys. Lett. 76(22), 3170–3172 (2000).
[Crossref]

Chaos Solitons Fractals (1)

A. Campos-Mejía, A. N. Pisarchik, and D. A. Arroyo-Almanza, “Noise-induced on–off intermittency in mutually coupled semiconductor lasers,” Chaos Solitons Fractals 54, 96–100 (2013).
[Crossref]

Chin. Phys. (1)

H. Wei, H. Xiao-Pu, Z. Tao, and W. Bing-Hong, “Heavy-tailed statistics in short-message communication,” Chin. Phys. 26, 028902 (2009).

Commun. Math. Phys. (1)

Y. Pomeau and P. Manneville, “Intermittent transition to turbulence in dissipative dynamical systems,” Commun. Math. Phys. 74(2), 189–197 (1980).
[Crossref]

Eur. Phys. Lett. (1)

D. Ziemann, R. Aust, B. Lingnau, E. Schölland, and K. Lüdge, “Optical injection enables coherence resonance in quantum-dot lasers,” Eur. Phys. Lett. 103(1), 14002 (2013).
[Crossref]

Fluct. Noise Lett. (1)

B. L. Lan, E. V. Yeoh, and J. A. Ng, “Distribution of detrended stock market data,” Fluct. Noise Lett. 9, 245–257 (2010).

IEEE J. Quantum Electron. (1)

D. H. Kawaguchi, K. Inoue, T. Matsuoka, and K. Otsuka, “Bistable output characteristics in semiconductor laser injection locking,” IEEE J. Quantum Electron. 21(9), 1314–1317 (1985).
[Crossref]

Int. J. Mod. Phys. B (1)

W.-S. Lam, P. N. Guzdar, and R. Roy, “Effect of spontaneous emission noise and modulation on semiconductor lasers near threshold with optical feedback,” Int. J. Mod. Phys. B 17(22n24), 4123–4138 (2003).
[Crossref]

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

J. Phys. A (1)

J. K. Bhattacharjee and K. Banerjee, “Kramers time in bistable potentials,” J. Phys. A 22(24), L1141–L1146 (1989).
[Crossref]

Oikos (1)

A. M. Segura, D. Calliari, H. Fort, and B. L. Lan, “Fat tails in marine microbial population fluctuations,” Oikos 122(12), 1739–1745 (2013).
[Crossref]

Opt. Express (1)

Phys. Rep. (1)

S. Wieczorek, B. Krauskopf, T. B. Simpsonc, and D. Lenstra, “The dynamical complexity of optically injected semiconductor lasers,” Phys. Rep. 416(1-2), 1–128 (2005).
[Crossref]

Phys. Rev. A (1)

J. B. Gao, S. K. Hwang, and J. M. Liu, “Effects of intrinsic spontaneous-emission noise on the nonlinear dynamics of an optically injected semiconductor laser,” Phys. Rev. A 59(2), 1582–1585 (1999).
[Crossref]

Phys. Rev. E Stat. Nonlin. Soft Matter Phys. (4)

S. Osborne, A. Amann, D. Bitauld, and S. O’Brien, “On-off intermittency in an optically injected semiconductor laser,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 85(5), 056204 (2012).
[Crossref] [PubMed]

A. N. Pisarchik and V. J. Pinto-Robledo, “Experimental observation of two-state on-off intermittency,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 66(2), 027203 (2002).
[Crossref] [PubMed]

G. Huerta-Cuellar, A. N. Pisarchik, and Y. O. Barmenkov, “Experimental characterization of hopping dynamics in a multistable fiber laser,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 78(3), 035202 (2008).
[Crossref] [PubMed]

A. N. Pisarchik, R. Jaimes-Reátegui, R. Sevilla-Escoboza, and G. Huerta-Cuellar, “Multistate intermittency and extreme pulses in a fiber laser,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 86(5), 056219 (2012).
[Crossref] [PubMed]

Phys. Rev. E Stat. Phys. Plasmas Fluids Relat. Interdiscip. Topics (3)

Y.-C. Lai and C. Grebogi, “Intermingled basins and two-state on-off intermittency,” Phys. Rev. E Stat. Phys. Plasmas Fluids Relat. Interdiscip. Topics 52(4), R3313–R3316 (1995).
[Crossref] [PubMed]

J. F. Heagy, N. Platt, and S. M. Hammel, “Characterization of on-off intermittency,” Phys. Rev. E Stat. Phys. Plasmas Fluids Relat. Interdiscip. Topics 49(2), 1140–1150 (1994).
[Crossref] [PubMed]

J. L. A. Dubbeldam, B. Krauskopf, and D. Lenstra, “Excitability and coherence resonance in lasers with saturable absorber,” Phys. Rev. E Stat. Phys. Plasmas Fluids Relat. Interdiscip. Topics 60(6), 6580–6588 (1999).
[Crossref] [PubMed]

Phys. Rev. Lett. (6)

G. Giacomelli, M. Giudici, S. Balle, and J. R. Tredicce, “Experimental evidence of coherence resonance in an optical system,” Phys. Rev. Lett. 84(15), 3298–3301 (2000).
[Crossref] [PubMed]

O. V. Ushakov, H. J. Wünsche, F. Henneberger, I. A. Khovanov, L. Schimansky-Geier, and M. A. Zaks, “Coherence resonance near a Hopf bifurcation,” Phys. Rev. Lett. 95(12), 123903 (2005).
[Crossref] [PubMed]

A. M. Yacomotti, M. C. Eguia, J. Aliaga, O. E. Martinez, G. B. Mindlin, and A. Lipsich, “Interspike time distribution in noise driven excitable systems,” Phys. Rev. Lett. 83(2), 292–295 (1999).
[Crossref]

N. Platt, E. A. Spiegel, and C. Tresser, “On-off intermittency: A mechanism for bursting,” Phys. Rev. Lett. 70(3), 279–282 (1993).
[Crossref] [PubMed]

H. Gang, T. Ditzinger, C. Z. Ning, and H. Haken, “Stochastic resonance without external periodic force,” Phys. Rev. Lett. 71(6), 807–810 (1993).
[Crossref] [PubMed]

A. S. Pikovsky and J. Kurths, “Coherence resonance in a noise-driven excitable system,” Phys. Rev. Lett. 78(5), 775–778 (1997).
[Crossref]

Other (4)

A. D. Staicu, Intermittency in Turbulence (Eindhoven University of Technology, 2002).

O. Vaudel, N. Péraud, and P. Besnard, “Synchronization on excitable pulses in optically injected semiconductor lasers,” Proc. SPIE 6997, 69970F–1/9 (2008).

J. Nolan, “Stable program,” http://academic2.american.edu/~jpnolan/stable/stable.html .

J. P. Nolan, Stable Distributions - Models for Heavy Tailed Data (Birkhuser, 2015).

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Figures (5)

Fig. 1
Fig. 1 Experimental setup. PC is a polarization controller, ISO is an optical isolator, OC is an output coupler, Att is an optical attenuator, PD is a photodetector, FSA is a frequency spectrum analyzer, and OSA is an optical spectrum analyzer. The red wire represents the optical fiber, and the black and yellow wires represent the electrical connections.
Fig. 2
Fig. 2 (a-c) Average optical spectra recorded by OSA and (d-i) oscilloscope traces for (a,d) Im = 22.0 mA, (b,e) 24.6 mA, and (c,f) 25.4 mA. The lower row (g,h,i) is the zoomed parts of the above time series.
Fig. 3
Fig. 3 (a) Bifurcation diagram of slave laser peak intensity frequency-locking boundary and (b) local maxima recorded by OSA.
Fig. 4
Fig. 4 (a) Standard deviation of inter-spike-interval fluctuations in intermittency region and (b) power spectrum as a function of master laser pump current. The minimum in (a) and the dark spot in (b) correspond to maximum coherence.
Fig. 5
Fig. 5 Fitted stable parameters (a) α and (b) γ as a function of the master laser pump current. The 95% confidence intervals are plotted.

Equations (1)

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Δ n =ln( Δ T i+1 )ln( Δ T i ).

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