Abstract

We experimentally investigate the generation and synchronization of bandwidth-enhanced chaos in a semiconductor laser (drive laser) that is subject to optical injection from another chaotic semiconductor laser (injection laser) with optical feedback. Effective bandwidth enhancement is achieved over 12 GHz, under the condition in which the optical wavelength of the drive laser is positively detuned with respect to that of the injection laser, outside the injection locking range. The bandwidth-enhanced chaotic signal of the drive laser is injected into a third semiconductor laser (response laser) for synchronization. Synchronization of chaos with a bandwidth greater than 12 GHz is observed between the drive and response lasers, under the condition in which the optical wavelength of the response laser is negatively detuned with respect to that of the drive laser, satisfying the injection locking condition. High-quality chaos synchronization is observed within the injection locking range between the drive and response lasers and under the condition of a low relaxation oscillation frequency of the response laser.

© 2009 OSA

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  2. J.-P. Goedgebuer, L. Larger, and H. Porte, “Optical cryptosystem based on synchronization of hyperchaos generated by a delayed feedback tunable laser diode,” Phys. Rev. Lett. 80(10), 2249–2252 (1998).
    [CrossRef]
  3. S. Sivaprakasam and K. A. Shore, “Signal masking for chaotic optical communication using external-cavity diode lasers,” Opt. Lett. 24(17), 1200–1202 (1999).
    [CrossRef]
  4. 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(1), 011801 (2000).
    [CrossRef]
  5. S. Tang and J. M. Liu, “Message encoding-decoding at 2.5 Gbits/s through synchronization of chaotic pulsing semiconductor lasers,” Opt. Lett. 26(23), 1843–1845 (2001).
    [CrossRef]
  6. K. Kusumoto and J. Ohtsubo, “1.5-GHz message transmission based on synchronization of chaos in semiconductor lasers,” Opt. Lett. 27(12), 989–991 (2002).
    [CrossRef]
  7. A. Argyris, D. Syvridis, L. Larger, V. Annovazzi-Lodi, P. Colet, I. Fischer, J. García-Ojalvo, C. R. Mirasso, L. Pesquera, and K. A. Shore, “Chaos-based communications at high bit rates using commercial fibre-optic links,” Nature 437(7066), 343–346 (2005).
    [CrossRef]
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    [CrossRef]
  10. T. Honjo, A. Uchida, K. Amano, K. Hirano, H. Someya, H. Okumura, K. Yoshimura, P. Davis, and Y. Tokura, “Differential-phase-shift quantum key distribution experiment using fast physical random bit generator with chaotic semiconductor lasers,” Opt. Express 17(11), 9053–9061 (2009).
    [CrossRef] [PubMed]
  11. I. Reidler, Y. Aviad, M. Rosenbluh, and I. Kanter, “Ultrahigh-speed random number generation based on a chaotic semiconductor laser,” Phys. Rev. Lett. 103(2), 024102 (2009).
    [CrossRef] [PubMed]
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    [CrossRef]
  13. H. F. Chen, J. M. Liu, and T. B. Simpson, “Response characteristics of direct current modulation on a bandwidth-enhanced semiconductor laser under strong injection locking,” Opt. Commun. 173(1-6), 349–355 (2000).
    [CrossRef]
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  15. A. Uchida, T. Heil, P. Yun Liu, Davis, and T. Aida, “High-frequency broad-band signal generation using a semiconductor laser with a chaotic optical injection,” IEEE J. Quantum Electron. 39(11), 1462–1467 (2003).
    [CrossRef]
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    [CrossRef]
  17. F. Y. Lin and J. M. Liu, “Nonlinear dynamical characteristics of an optically injected semiconductor laser subject to optoelectronic feedback,” Opt. Commun. 221, 173–180 (2003).
    [CrossRef]
  18. V. Kovanis, A. Gavrielides, T. B. Simpson, and J. M. Liu, “Instabilities and chaos in optically injected semiconductor lasers,” Appl. Phys. Lett. 67(19), 2780–2782 (1995).
    [CrossRef]
  19. S. Wieczorek, T. B. Simpson, B. Krauskopf, and D. Lenstra, “Global quantitative predictions of complex laser dynamics,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 65(4), 045207 (2002).
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2009 (2)

2008 (2)

A. Wang, Y. Wang, and H. He, “Enhancing the bandwidth of the optical chaotic signal generated by a semiconductor laser with optical feedback,” IEEE Photon. Technol. Lett. 20(19), 1633–1635 (2008).
[CrossRef]

A. Uchida, K. Amano, M. Inoue, K. Hirano, S. Naito, H. Someya, I. Oowada, T. Kurashige, M. Shiki, S. Yoshimori, K. Yoshimura, and P. Davis, “Fast physical random bit generation with chaotic semiconductor lasers,” Nat. Photonics 2(12), 728–732 (2008).
[CrossRef]

2005 (1)

A. Argyris, D. Syvridis, L. Larger, V. Annovazzi-Lodi, P. Colet, I. Fischer, J. García-Ojalvo, C. R. Mirasso, L. Pesquera, and K. A. Shore, “Chaos-based communications at high bit rates using commercial fibre-optic links,” Nature 437(7066), 343–346 (2005).
[CrossRef]

2003 (3)

F. Y. Lin and J. M. Liu, “Nonlinear dynamical characteristics of an optically injected semiconductor laser subject to optoelectronic feedback,” Opt. Commun. 221, 173–180 (2003).
[CrossRef]

Y. Takiguchi, K. Ohyagi, and J. Ohtsubo, “Bandwidth-enhanced chaos synchronization in strongly injection-locked semiconductor lasers with optical feedback,” Opt. Lett. 28(5), 319–321 (2003).
[CrossRef] [PubMed]

A. Uchida, T. Heil, P. Yun Liu, Davis, and T. Aida, “High-frequency broad-band signal generation using a semiconductor laser with a chaotic optical injection,” IEEE J. Quantum Electron. 39(11), 1462–1467 (2003).
[CrossRef]

2002 (2)

S. Wieczorek, T. B. Simpson, B. Krauskopf, and D. Lenstra, “Global quantitative predictions of complex laser dynamics,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 65(4), 045207 (2002).
[CrossRef] [PubMed]

K. Kusumoto and J. Ohtsubo, “1.5-GHz message transmission based on synchronization of chaos in semiconductor lasers,” Opt. Lett. 27(12), 989–991 (2002).
[CrossRef]

2001 (1)

2000 (2)

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(1), 011801 (2000).
[CrossRef]

H. F. Chen, J. M. Liu, and T. B. Simpson, “Response characteristics of direct current modulation on a bandwidth-enhanced semiconductor laser under strong injection locking,” Opt. Commun. 173(1-6), 349–355 (2000).
[CrossRef]

1999 (1)

1998 (2)

G. D. VanWiggeren and R. Roy, “Communication with chaotic lasers,” Science 279(5354), 1198–1200 (1998).
[CrossRef] [PubMed]

J.-P. Goedgebuer, L. Larger, and H. Porte, “Optical cryptosystem based on synchronization of hyperchaos generated by a delayed feedback tunable laser diode,” Phys. Rev. Lett. 80(10), 2249–2252 (1998).
[CrossRef]

1995 (2)

V. Kovanis, A. Gavrielides, T. B. Simpson, and J. M. Liu, “Instabilities and chaos in optically injected semiconductor lasers,” Appl. Phys. Lett. 67(19), 2780–2782 (1995).
[CrossRef]

T. B. Simpson, J. M. Liu, and A. Gavrielides, “Bandwidth enhancement and broadband noise reduction in injection-locked semiconductor lasers,” IEEE Photon. Technol. Lett. 7(7), 709–711 (1995).
[CrossRef]

Aida, T.

A. Uchida, T. Heil, P. Yun Liu, Davis, and T. Aida, “High-frequency broad-band signal generation using a semiconductor laser with a chaotic optical injection,” IEEE J. Quantum Electron. 39(11), 1462–1467 (2003).
[CrossRef]

Amano, K.

T. Honjo, A. Uchida, K. Amano, K. Hirano, H. Someya, H. Okumura, K. Yoshimura, P. Davis, and Y. Tokura, “Differential-phase-shift quantum key distribution experiment using fast physical random bit generator with chaotic semiconductor lasers,” Opt. Express 17(11), 9053–9061 (2009).
[CrossRef] [PubMed]

A. Uchida, K. Amano, M. Inoue, K. Hirano, S. Naito, H. Someya, I. Oowada, T. Kurashige, M. Shiki, S. Yoshimori, K. Yoshimura, and P. Davis, “Fast physical random bit generation with chaotic semiconductor lasers,” Nat. Photonics 2(12), 728–732 (2008).
[CrossRef]

Annovazzi-Lodi, V.

A. Argyris, D. Syvridis, L. Larger, V. Annovazzi-Lodi, P. Colet, I. Fischer, J. García-Ojalvo, C. R. Mirasso, L. Pesquera, and K. A. Shore, “Chaos-based communications at high bit rates using commercial fibre-optic links,” Nature 437(7066), 343–346 (2005).
[CrossRef]

Argyris, A.

A. Argyris, D. Syvridis, L. Larger, V. Annovazzi-Lodi, P. Colet, I. Fischer, J. García-Ojalvo, C. R. Mirasso, L. Pesquera, and K. A. Shore, “Chaos-based communications at high bit rates using commercial fibre-optic links,” Nature 437(7066), 343–346 (2005).
[CrossRef]

Aviad, Y.

I. Reidler, Y. Aviad, M. Rosenbluh, and I. Kanter, “Ultrahigh-speed random number generation based on a chaotic semiconductor laser,” Phys. Rev. Lett. 103(2), 024102 (2009).
[CrossRef] [PubMed]

Chen, H. F.

H. F. Chen, J. M. Liu, and T. B. Simpson, “Response characteristics of direct current modulation on a bandwidth-enhanced semiconductor laser under strong injection locking,” Opt. Commun. 173(1-6), 349–355 (2000).
[CrossRef]

Colet, P.

A. Argyris, D. Syvridis, L. Larger, V. Annovazzi-Lodi, P. Colet, I. Fischer, J. García-Ojalvo, C. R. Mirasso, L. Pesquera, and K. A. Shore, “Chaos-based communications at high bit rates using commercial fibre-optic links,” Nature 437(7066), 343–346 (2005).
[CrossRef]

Davis,

A. Uchida, T. Heil, P. Yun Liu, Davis, and T. Aida, “High-frequency broad-band signal generation using a semiconductor laser with a chaotic optical injection,” IEEE J. Quantum Electron. 39(11), 1462–1467 (2003).
[CrossRef]

Davis, P.

T. Honjo, A. Uchida, K. Amano, K. Hirano, H. Someya, H. Okumura, K. Yoshimura, P. Davis, and Y. Tokura, “Differential-phase-shift quantum key distribution experiment using fast physical random bit generator with chaotic semiconductor lasers,” Opt. Express 17(11), 9053–9061 (2009).
[CrossRef] [PubMed]

A. Uchida, K. Amano, M. Inoue, K. Hirano, S. Naito, H. Someya, I. Oowada, T. Kurashige, M. Shiki, S. Yoshimori, K. Yoshimura, and P. Davis, “Fast physical random bit generation with chaotic semiconductor lasers,” Nat. Photonics 2(12), 728–732 (2008).
[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(1), 011801 (2000).
[CrossRef]

Fischer, I.

A. Argyris, D. Syvridis, L. Larger, V. Annovazzi-Lodi, P. Colet, I. Fischer, J. García-Ojalvo, C. R. Mirasso, L. Pesquera, and K. A. Shore, “Chaos-based communications at high bit rates using commercial fibre-optic links,” Nature 437(7066), 343–346 (2005).
[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(1), 011801 (2000).
[CrossRef]

García-Ojalvo, J.

A. Argyris, D. Syvridis, L. Larger, V. Annovazzi-Lodi, P. Colet, I. Fischer, J. García-Ojalvo, C. R. Mirasso, L. Pesquera, and K. A. Shore, “Chaos-based communications at high bit rates using commercial fibre-optic links,” Nature 437(7066), 343–346 (2005).
[CrossRef]

Gavrielides, A.

T. B. Simpson, J. M. Liu, and A. Gavrielides, “Bandwidth enhancement and broadband noise reduction in injection-locked semiconductor lasers,” IEEE Photon. Technol. Lett. 7(7), 709–711 (1995).
[CrossRef]

V. Kovanis, A. Gavrielides, T. B. Simpson, and J. M. Liu, “Instabilities and chaos in optically injected semiconductor lasers,” Appl. Phys. Lett. 67(19), 2780–2782 (1995).
[CrossRef]

Goedgebuer, J.-P.

J.-P. Goedgebuer, L. Larger, and H. Porte, “Optical cryptosystem based on synchronization of hyperchaos generated by a delayed feedback tunable laser diode,” Phys. Rev. Lett. 80(10), 2249–2252 (1998).
[CrossRef]

He, H.

A. Wang, Y. Wang, and H. He, “Enhancing the bandwidth of the optical chaotic signal generated by a semiconductor laser with optical feedback,” IEEE Photon. Technol. Lett. 20(19), 1633–1635 (2008).
[CrossRef]

Heil, T.

A. Uchida, T. Heil, P. Yun Liu, Davis, and T. Aida, “High-frequency broad-band signal generation using a semiconductor laser with a chaotic optical injection,” IEEE J. Quantum Electron. 39(11), 1462–1467 (2003).
[CrossRef]

Hirano, K.

T. Honjo, A. Uchida, K. Amano, K. Hirano, H. Someya, H. Okumura, K. Yoshimura, P. Davis, and Y. Tokura, “Differential-phase-shift quantum key distribution experiment using fast physical random bit generator with chaotic semiconductor lasers,” Opt. Express 17(11), 9053–9061 (2009).
[CrossRef] [PubMed]

A. Uchida, K. Amano, M. Inoue, K. Hirano, S. Naito, H. Someya, I. Oowada, T. Kurashige, M. Shiki, S. Yoshimori, K. Yoshimura, and P. Davis, “Fast physical random bit generation with chaotic semiconductor lasers,” Nat. Photonics 2(12), 728–732 (2008).
[CrossRef]

Honjo, T.

Inoue, M.

A. Uchida, K. Amano, M. Inoue, K. Hirano, S. Naito, H. Someya, I. Oowada, T. Kurashige, M. Shiki, S. Yoshimori, K. Yoshimura, and P. Davis, “Fast physical random bit generation with chaotic semiconductor lasers,” Nat. Photonics 2(12), 728–732 (2008).
[CrossRef]

Kanter, I.

I. Reidler, Y. Aviad, M. Rosenbluh, and I. Kanter, “Ultrahigh-speed random number generation based on a chaotic semiconductor laser,” Phys. Rev. Lett. 103(2), 024102 (2009).
[CrossRef] [PubMed]

Kovanis, V.

V. Kovanis, A. Gavrielides, T. B. Simpson, and J. M. Liu, “Instabilities and chaos in optically injected semiconductor lasers,” Appl. Phys. Lett. 67(19), 2780–2782 (1995).
[CrossRef]

Krauskopf, B.

S. Wieczorek, T. B. Simpson, B. Krauskopf, and D. Lenstra, “Global quantitative predictions of complex laser dynamics,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 65(4), 045207 (2002).
[CrossRef] [PubMed]

Kurashige, T.

A. Uchida, K. Amano, M. Inoue, K. Hirano, S. Naito, H. Someya, I. Oowada, T. Kurashige, M. Shiki, S. Yoshimori, K. Yoshimura, and P. Davis, “Fast physical random bit generation with chaotic semiconductor lasers,” Nat. Photonics 2(12), 728–732 (2008).
[CrossRef]

Kusumoto, K.

Larger, L.

A. Argyris, D. Syvridis, L. Larger, V. Annovazzi-Lodi, P. Colet, I. Fischer, J. García-Ojalvo, C. R. Mirasso, L. Pesquera, and K. A. Shore, “Chaos-based communications at high bit rates using commercial fibre-optic links,” Nature 437(7066), 343–346 (2005).
[CrossRef]

J.-P. Goedgebuer, L. Larger, and H. Porte, “Optical cryptosystem based on synchronization of hyperchaos generated by a delayed feedback tunable laser diode,” Phys. Rev. Lett. 80(10), 2249–2252 (1998).
[CrossRef]

Lenstra, D.

S. Wieczorek, T. B. Simpson, B. Krauskopf, and D. Lenstra, “Global quantitative predictions of complex laser dynamics,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 65(4), 045207 (2002).
[CrossRef] [PubMed]

Lin, F. Y.

F. Y. Lin and J. M. Liu, “Nonlinear dynamical characteristics of an optically injected semiconductor laser subject to optoelectronic feedback,” Opt. Commun. 221, 173–180 (2003).
[CrossRef]

Liu, J. M.

F. Y. Lin and J. M. Liu, “Nonlinear dynamical characteristics of an optically injected semiconductor laser subject to optoelectronic feedback,” Opt. Commun. 221, 173–180 (2003).
[CrossRef]

S. Tang and J. M. Liu, “Message encoding-decoding at 2.5 Gbits/s through synchronization of chaotic pulsing semiconductor lasers,” Opt. Lett. 26(23), 1843–1845 (2001).
[CrossRef]

H. F. Chen, J. M. Liu, and T. B. Simpson, “Response characteristics of direct current modulation on a bandwidth-enhanced semiconductor laser under strong injection locking,” Opt. Commun. 173(1-6), 349–355 (2000).
[CrossRef]

T. B. Simpson, J. M. Liu, and A. Gavrielides, “Bandwidth enhancement and broadband noise reduction in injection-locked semiconductor lasers,” IEEE Photon. Technol. Lett. 7(7), 709–711 (1995).
[CrossRef]

V. Kovanis, A. Gavrielides, T. B. Simpson, and J. M. Liu, “Instabilities and chaos in optically injected semiconductor lasers,” Appl. Phys. Lett. 67(19), 2780–2782 (1995).
[CrossRef]

Liu, Y.

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(1), 011801 (2000).
[CrossRef]

Mirasso, C. R.

A. Argyris, D. Syvridis, L. Larger, V. Annovazzi-Lodi, P. Colet, I. Fischer, J. García-Ojalvo, C. R. Mirasso, L. Pesquera, and K. A. Shore, “Chaos-based communications at high bit rates using commercial fibre-optic links,” Nature 437(7066), 343–346 (2005).
[CrossRef]

Naito, S.

A. Uchida, K. Amano, M. Inoue, K. Hirano, S. Naito, H. Someya, I. Oowada, T. Kurashige, M. Shiki, S. Yoshimori, K. Yoshimura, and P. Davis, “Fast physical random bit generation with chaotic semiconductor lasers,” Nat. Photonics 2(12), 728–732 (2008).
[CrossRef]

Ohtsubo, J.

Ohyagi, K.

Okumura, H.

Oowada, I.

A. Uchida, K. Amano, M. Inoue, K. Hirano, S. Naito, H. Someya, I. Oowada, T. Kurashige, M. Shiki, S. Yoshimori, K. Yoshimura, and P. Davis, “Fast physical random bit generation with chaotic semiconductor lasers,” Nat. Photonics 2(12), 728–732 (2008).
[CrossRef]

Pesquera, L.

A. Argyris, D. Syvridis, L. Larger, V. Annovazzi-Lodi, P. Colet, I. Fischer, J. García-Ojalvo, C. R. Mirasso, L. Pesquera, and K. A. Shore, “Chaos-based communications at high bit rates using commercial fibre-optic links,” Nature 437(7066), 343–346 (2005).
[CrossRef]

Porte, H.

J.-P. Goedgebuer, L. Larger, and H. Porte, “Optical cryptosystem based on synchronization of hyperchaos generated by a delayed feedback tunable laser diode,” Phys. Rev. Lett. 80(10), 2249–2252 (1998).
[CrossRef]

Reidler, I.

I. Reidler, Y. Aviad, M. Rosenbluh, and I. Kanter, “Ultrahigh-speed random number generation based on a chaotic semiconductor laser,” Phys. Rev. Lett. 103(2), 024102 (2009).
[CrossRef] [PubMed]

Rosenbluh, M.

I. Reidler, Y. Aviad, M. Rosenbluh, and I. Kanter, “Ultrahigh-speed random number generation based on a chaotic semiconductor laser,” Phys. Rev. Lett. 103(2), 024102 (2009).
[CrossRef] [PubMed]

Roy, R.

G. D. VanWiggeren and R. Roy, “Communication with chaotic lasers,” Science 279(5354), 1198–1200 (1998).
[CrossRef] [PubMed]

Shiki, M.

A. Uchida, K. Amano, M. Inoue, K. Hirano, S. Naito, H. Someya, I. Oowada, T. Kurashige, M. Shiki, S. Yoshimori, K. Yoshimura, and P. Davis, “Fast physical random bit generation with chaotic semiconductor lasers,” Nat. Photonics 2(12), 728–732 (2008).
[CrossRef]

Shore, K. A.

A. Argyris, D. Syvridis, L. Larger, V. Annovazzi-Lodi, P. Colet, I. Fischer, J. García-Ojalvo, C. R. Mirasso, L. Pesquera, and K. A. Shore, “Chaos-based communications at high bit rates using commercial fibre-optic links,” Nature 437(7066), 343–346 (2005).
[CrossRef]

S. Sivaprakasam and K. A. Shore, “Signal masking for chaotic optical communication using external-cavity diode lasers,” Opt. Lett. 24(17), 1200–1202 (1999).
[CrossRef]

Simpson, T. B.

S. Wieczorek, T. B. Simpson, B. Krauskopf, and D. Lenstra, “Global quantitative predictions of complex laser dynamics,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 65(4), 045207 (2002).
[CrossRef] [PubMed]

H. F. Chen, J. M. Liu, and T. B. Simpson, “Response characteristics of direct current modulation on a bandwidth-enhanced semiconductor laser under strong injection locking,” Opt. Commun. 173(1-6), 349–355 (2000).
[CrossRef]

V. Kovanis, A. Gavrielides, T. B. Simpson, and J. M. Liu, “Instabilities and chaos in optically injected semiconductor lasers,” Appl. Phys. Lett. 67(19), 2780–2782 (1995).
[CrossRef]

T. B. Simpson, J. M. Liu, and A. Gavrielides, “Bandwidth enhancement and broadband noise reduction in injection-locked semiconductor lasers,” IEEE Photon. Technol. Lett. 7(7), 709–711 (1995).
[CrossRef]

Sivaprakasam, S.

Someya, H.

T. Honjo, A. Uchida, K. Amano, K. Hirano, H. Someya, H. Okumura, K. Yoshimura, P. Davis, and Y. Tokura, “Differential-phase-shift quantum key distribution experiment using fast physical random bit generator with chaotic semiconductor lasers,” Opt. Express 17(11), 9053–9061 (2009).
[CrossRef] [PubMed]

A. Uchida, K. Amano, M. Inoue, K. Hirano, S. Naito, H. Someya, I. Oowada, T. Kurashige, M. Shiki, S. Yoshimori, K. Yoshimura, and P. Davis, “Fast physical random bit generation with chaotic semiconductor lasers,” Nat. Photonics 2(12), 728–732 (2008).
[CrossRef]

Syvridis, D.

A. Argyris, D. Syvridis, L. Larger, V. Annovazzi-Lodi, P. Colet, I. Fischer, J. García-Ojalvo, C. R. Mirasso, L. Pesquera, and K. A. Shore, “Chaos-based communications at high bit rates using commercial fibre-optic links,” Nature 437(7066), 343–346 (2005).
[CrossRef]

Takiguchi, Y.

Tang, S.

Tokura, Y.

Uchida, A.

T. Honjo, A. Uchida, K. Amano, K. Hirano, H. Someya, H. Okumura, K. Yoshimura, P. Davis, and Y. Tokura, “Differential-phase-shift quantum key distribution experiment using fast physical random bit generator with chaotic semiconductor lasers,” Opt. Express 17(11), 9053–9061 (2009).
[CrossRef] [PubMed]

A. Uchida, K. Amano, M. Inoue, K. Hirano, S. Naito, H. Someya, I. Oowada, T. Kurashige, M. Shiki, S. Yoshimori, K. Yoshimura, and P. Davis, “Fast physical random bit generation with chaotic semiconductor lasers,” Nat. Photonics 2(12), 728–732 (2008).
[CrossRef]

A. Uchida, T. Heil, P. Yun Liu, Davis, and T. Aida, “High-frequency broad-band signal generation using a semiconductor laser with a chaotic optical injection,” IEEE J. Quantum Electron. 39(11), 1462–1467 (2003).
[CrossRef]

VanWiggeren, G. D.

G. D. VanWiggeren and R. Roy, “Communication with chaotic lasers,” Science 279(5354), 1198–1200 (1998).
[CrossRef] [PubMed]

Wang, A.

A. Wang, Y. Wang, and H. He, “Enhancing the bandwidth of the optical chaotic signal generated by a semiconductor laser with optical feedback,” IEEE Photon. Technol. Lett. 20(19), 1633–1635 (2008).
[CrossRef]

Wang, Y.

A. Wang, Y. Wang, and H. He, “Enhancing the bandwidth of the optical chaotic signal generated by a semiconductor laser with optical feedback,” IEEE Photon. Technol. Lett. 20(19), 1633–1635 (2008).
[CrossRef]

Wieczorek, S.

S. Wieczorek, T. B. Simpson, B. Krauskopf, and D. Lenstra, “Global quantitative predictions of complex laser dynamics,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 65(4), 045207 (2002).
[CrossRef] [PubMed]

Yoshimori, S.

A. Uchida, K. Amano, M. Inoue, K. Hirano, S. Naito, H. Someya, I. Oowada, T. Kurashige, M. Shiki, S. Yoshimori, K. Yoshimura, and P. Davis, “Fast physical random bit generation with chaotic semiconductor lasers,” Nat. Photonics 2(12), 728–732 (2008).
[CrossRef]

Yoshimura, K.

T. Honjo, A. Uchida, K. Amano, K. Hirano, H. Someya, H. Okumura, K. Yoshimura, P. Davis, and Y. Tokura, “Differential-phase-shift quantum key distribution experiment using fast physical random bit generator with chaotic semiconductor lasers,” Opt. Express 17(11), 9053–9061 (2009).
[CrossRef] [PubMed]

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Figures (6)

Fig. 1
Fig. 1

Experimental setup for the generation and synchronization of bandwidth-enhanced chaos in three semiconductor lasers. The Injection and Drive lasers are used for bandwidth enhancement of chaos. The Drive and Response lasers are used for the synchronization of chaos. The abbreviations stand for the following: Amp, electronic amplifier; BS, beam splitter; FC, fiber collimator; ISO, optical isolator; L, lens; λ/2, half wave-plate; M, mirror; NDF, neutral density filter; PD, photodetector.

Fig. 2
Fig. 2

(a) Temporal waveforms of the Injection and Drive lasers, and (b) their corresponding RF spectra. (b) fpeak, peak frequency of the RF spectrum; BW, bandwidth of the RF spectrum. The bandwidth of the chaotic signals is defined as the range between DC and the frequency that contains 80% of the spectral power [16,17].

Fig. 3
Fig. 3

Center frequency (black solid curve) and bandwidth of the chaotic Drive laser (blue dotted curve) as a function of the optical wavelength detuning between the Drive and Injection lasers ΔλDI ( = λDrive - λInjection), where λDrive and λInjection denote the optical wavelength of the solitary Drive laser and the Injection laser with optical feedback, respectively. The injection locking range (region where λDrive matches λInjection due to coherent coupling) is shown in the region indicated by the red arrow.

Fig. 4
Fig. 4

(a) Temporal waveforms, (b) cross correlation, (c) RF spectra, and (d) optical spectra of the Drive and Response lasers. (c) fpeak, peak frequency of the RF spectrum; BW, bandwidth of the RF spectrum. Synchronization of bandwidth-enhanced chaos is achieved between the Drive and Response lasers. The cross correlation value in (b) is C = 0.954.

Fig. 5
Fig. 5

(a) Cross correlation of the temporal waveforms between the Drive and Response lasers as a function of ΔλRD ( = λResponse - λDrive), where λResponse and λDrive are the optical wavelengths of the solitary Response laser and the Drive laser with optical injection from the Injection laser, respectively. (b) Cross correlation between the Drive and Response lasers (black solid curve) and bandwidths of the Drive (blue dotted curve) and Response (red dashed curve) lasers as a function of ΔλDI, where ΔλDI ( = λDrive - λInjection) denotes the optical wavelength detuning between the solitary Drive laser and the Injection laser with optical feedback. The change in ΔλDI affects the bandwidth of chaos in the Drive laser.

Fig. 6
Fig. 6

Cross correlation of the temporal waveforms between the Drive and Response lasers as a function of the relaxation oscillation frequency of the Response laser fR , where fR increases monotonically with the increase in the injection current of the Response laser. The cross correlation value decreases slightly as fR is increased.

Equations (1)

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C=(I1I¯1)(I2I¯2)σ1σ2

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