Abstract

The multistability in a single-mode distributed feedback semiconductor laser with delayed optoelectronic feedback is observed experimentally. For a given delay time, the observed dynamical state of the laser output is critically dependent on the process of varying the delay time and is limited by the range of variation. Various routes of delay time variation results in multistabilities characterized by states of different time series and power spectra.

© 2007 Optical Society of America

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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
  7. R. Vicente, S. Tang, J. Mulet, C. R. Mirasso, and J. M. Liu, "Synchronization properties of two self-oscillating semiconductor lasers subject to delayed optoelectronic mutual coupling," Phys. Rev. E 73, 047201-1 - 4 (2006).
    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef] [PubMed]
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    [CrossRef]
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    [CrossRef]
  14. S. Tang and J. M. Liu. "Chaotic pulsing and quasi-periodic route to chaos in a semiconductor laser with delayed opto-electronic feedback," IEEE J. Quantum Electron. 37, 329 - 336 (2001).
    [CrossRef]
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    [CrossRef]
  17. L. Larger, J. P. Goedgebuer, and F. Delorme, "Optical encryption system using hyperchaos generated by an optoelectronic wavelength oscillator," Phys. Rev. E 57, 6618 - 6624 (1998).Q1
    [CrossRef]
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    [CrossRef]

2006 (1)

S. Rajesh and V. M. Nandakumaran, "Control of bistability in a directly modulated semiconductor laser using delayed optoelectronic feedback," Physica D 213, 113 - 120 (2006).
[CrossRef]

2005 (2)

S. C. Chan and J. M. Liu, "Microwave frequency division and multiplication using an optically injected semiconductor laser," IEEE J. Quantum Electron. 41, 1142 - 1147 (2005).
[CrossRef]

G. Q. Xia, Z. M. Wu, and X. H. Jia, "Theoretical investigation on commanding the bistability and self-pulsation of bistable semiconductor laser diode using delayed optoelectronic feedback," J. Lightwave Technol. 23, 4296-4304 (2005).
[CrossRef]

2003 (1)

F. Lin and J. Liu, "Nonlinear dynamics of a semiconductor laser with delayed negative optoelectronic feedback," IEEE J. Quantum Electron. 39, 562 - 568 (2003).
[CrossRef]

2002 (1)

2001 (1)

S. Tang and J. M. Liu. "Chaotic pulsing and quasi-periodic route to chaos in a semiconductor laser with delayed opto-electronic feedback," IEEE J. Quantum Electron. 37, 329 - 336 (2001).
[CrossRef]

1999 (4)

1998 (2)

L. Larger, J. P. Goedgebuer, and F. Delorme, "Optical encryption system using hyperchaos generated by an optoelectronic wavelength oscillator," Phys. Rev. E 57, 6618 - 6624 (1998).Q1
[CrossRef]

L. Larger, J. P. Goedgebuer, and J. M. Merolla, "Chaotic oscillator in wavelength: a new setup for investigating differential difference equations describing nonlinear dynamics," IEEE J. Quantum Electron. 34, 594 - 601 (1998).
[CrossRef]

1997 (1)

1993 (1)

C. H. Lee and S. Y. Shin, "Self-pulsing, spectral bistability, and chaos in a semiconductor laser diode with optoelectronic feedback," Appl. Phys. Lett. 62, 922 - 924 (1993).
[CrossRef]

Chan, S. C.

S. C. Chan and J. M. Liu, "Microwave frequency division and multiplication using an optically injected semiconductor laser," IEEE J. Quantum Electron. 41, 1142 - 1147 (2005).
[CrossRef]

Dellunde, J.

Delorme, F.

L. Larger, J. P. Goedgebuer, and F. Delorme, "Optical encryption system using hyperchaos generated by an optoelectronic wavelength oscillator," Phys. Rev. E 57, 6618 - 6624 (1998).Q1
[CrossRef]

Fujino, H.

Goedgebuer, J. P.

L. Larger, J. P. Goedgebuer, and F. Delorme, "Optical encryption system using hyperchaos generated by an optoelectronic wavelength oscillator," Phys. Rev. E 57, 6618 - 6624 (1998).Q1
[CrossRef]

L. Larger, J. P. Goedgebuer, and J. M. Merolla, "Chaotic oscillator in wavelength: a new setup for investigating differential difference equations describing nonlinear dynamics," IEEE J. Quantum Electron. 34, 594 - 601 (1998).
[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]

Jia, X. H.

Kusumoto, K.

Larger, L.

L. Larger, J. P. Goedgebuer, and F. Delorme, "Optical encryption system using hyperchaos generated by an optoelectronic wavelength oscillator," Phys. Rev. E 57, 6618 - 6624 (1998).Q1
[CrossRef]

L. Larger, J. P. Goedgebuer, and J. M. Merolla, "Chaotic oscillator in wavelength: a new setup for investigating differential difference equations describing nonlinear dynamics," IEEE J. Quantum Electron. 34, 594 - 601 (1998).
[CrossRef]

Lee, C. H.

C. H. Lee and S. Y. Shin, "Self-pulsing, spectral bistability, and chaos in a semiconductor laser diode with optoelectronic feedback," Appl. Phys. Lett. 62, 922 - 924 (1993).
[CrossRef]

Lin, F.

F. Lin and J. Liu, "Nonlinear dynamics of a semiconductor laser with delayed negative optoelectronic feedback," IEEE J. Quantum Electron. 39, 562 - 568 (2003).
[CrossRef]

Liu, J.

F. Lin and J. Liu, "Nonlinear dynamics of a semiconductor laser with delayed negative optoelectronic feedback," IEEE J. Quantum Electron. 39, 562 - 568 (2003).
[CrossRef]

Liu, J. M.

S. C. Chan and J. M. Liu, "Microwave frequency division and multiplication using an optically injected semiconductor laser," IEEE J. Quantum Electron. 41, 1142 - 1147 (2005).
[CrossRef]

S. Tang and J. M. Liu. "Chaotic pulsing and quasi-periodic route to chaos in a semiconductor laser with delayed opto-electronic feedback," IEEE J. Quantum Electron. 37, 329 - 336 (2001).
[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]

Merolla, J. M.

L. Larger, J. P. Goedgebuer, and J. M. Merolla, "Chaotic oscillator in wavelength: a new setup for investigating differential difference equations describing nonlinear dynamics," IEEE J. Quantum Electron. 34, 594 - 601 (1998).
[CrossRef]

Nandakumaran, V. M.

S. Rajesh and V. M. Nandakumaran, "Control of bistability in a directly modulated semiconductor laser using delayed optoelectronic feedback," Physica D 213, 113 - 120 (2006).
[CrossRef]

Ohtsubo, J.

Rajesh, S.

S. Rajesh and V. M. Nandakumaran, "Control of bistability in a directly modulated semiconductor laser using delayed optoelectronic feedback," Physica D 213, 113 - 120 (2006).
[CrossRef]

Shin, S. Y.

C. H. Lee and S. Y. Shin, "Self-pulsing, spectral bistability, and chaos in a semiconductor laser diode with optoelectronic feedback," Appl. Phys. Lett. 62, 922 - 924 (1993).
[CrossRef]

Shore, K. A.

Sivaprakasam, S.

Takiguchi, Y.

Tang, S.

S. Tang and J. M. Liu. "Chaotic pulsing and quasi-periodic route to chaos in a semiconductor laser with delayed opto-electronic feedback," IEEE J. Quantum Electron. 37, 329 - 336 (2001).
[CrossRef]

Turovets, S. I.

Wu, Z. M.

Xia, G. Q.

Appl. Phys. Lett. (1)

C. H. Lee and S. Y. Shin, "Self-pulsing, spectral bistability, and chaos in a semiconductor laser diode with optoelectronic feedback," Appl. Phys. Lett. 62, 922 - 924 (1993).
[CrossRef]

IEEE J. Quantum Electron. (4)

S. Tang and J. M. Liu. "Chaotic pulsing and quasi-periodic route to chaos in a semiconductor laser with delayed opto-electronic feedback," IEEE J. Quantum Electron. 37, 329 - 336 (2001).
[CrossRef]

S. C. Chan and J. M. Liu, "Microwave frequency division and multiplication using an optically injected semiconductor laser," IEEE J. Quantum Electron. 41, 1142 - 1147 (2005).
[CrossRef]

F. Lin and J. Liu, "Nonlinear dynamics of a semiconductor laser with delayed negative optoelectronic feedback," IEEE J. Quantum Electron. 39, 562 - 568 (2003).
[CrossRef]

L. Larger, J. P. Goedgebuer, and J. M. Merolla, "Chaotic oscillator in wavelength: a new setup for investigating differential difference equations describing nonlinear dynamics," IEEE J. Quantum Electron. 34, 594 - 601 (1998).
[CrossRef]

J. Lightwave Technol. (1)

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

Opt. Commun. (1)

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]

Opt. Lett. (4)

Phys. Rev. E (1)

L. Larger, J. P. Goedgebuer, and F. Delorme, "Optical encryption system using hyperchaos generated by an optoelectronic wavelength oscillator," Phys. Rev. E 57, 6618 - 6624 (1998).Q1
[CrossRef]

Physica D (1)

S. Rajesh and V. M. Nandakumaran, "Control of bistability in a directly modulated semiconductor laser using delayed optoelectronic feedback," Physica D 213, 113 - 120 (2006).
[CrossRef]

Other (4)

M. Nizette, T. Erneux, A. Gavrielides, V. Kovanis, and Simpson, "Bistability of pulsating intensities for double-locked laser diodes," Phys. Rev. E 65, 056610 - 1-4 (2002).
[CrossRef]

B. Farias, T. Passerat de Silans, M. Chevrollier, and M. Oria, "Frequency bistability of a semiconductor laser under a frequency-dependent feedback," Phys. Rev. Lett. 94, 173902-1 - 4 (2005).
[CrossRef] [PubMed]

R. Vicente, S. Tang, J. Mulet, C. R. Mirasso, and J. M. Liu, "Synchronization properties of two self-oscillating semiconductor lasers subject to delayed optoelectronic mutual coupling," Phys. Rev. E 73, 047201-1 - 4 (2006).
[CrossRef]

I. Fischer, Y. Liu, and P. Davis, "Synchronization of chaotic semiconductor laser dynamics on subnanosecond time scales and its potential for chaos communication," Phys. Rev. A 62, 011801-1-4 (2000).
[CrossRef]

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Figures (3)

Fig. 1.
Fig. 1.

Schematic diagram of the experimental setup. Dashed line: optical path; Solid line: microwave path.

Fig. 2.
Fig. 2.

Power spectra and time series experimentally observed. The delay time: (a) 13.13 ns, (b) 13.27 ns, and (c) 13.67 ns.

Fig. 3.
Fig. 3.

Dependence of the peak frequency of power spectrum on the delay time, where the arrows mark the routes of varying the delay time, and different symbols characterize different output states of SL observed experimentally.

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