Abstract

A simple method of targeting periodic dynamics appearing in semiconductor lasers subject to optical feedback is demonstrated. Possible applications of the technique in chaotic communications are identified, and its advantages for chaos control are discussed.

© 1995 Optical Society of America

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  1. E. Ott, C. Greboggi, J. A. Yorke, Phys. Rev. Lett. 64, 1196 (1990).
    [CrossRef] [PubMed]
  2. S. Hayes, C. Greboggi, E. Ott, Phys. Rev. Lett. 70, 3031 (1993).
    [CrossRef] [PubMed]
  3. K. M. Cuomo, A. V. Oppenheim, Phys. Rev. Lett. 71, 65 (1993).
    [CrossRef] [PubMed]
  4. K. A. Shore, D. T. Wright, Electron. Lett. 30, 1203 (1994).
    [CrossRef]
  5. W. M. Yee, K. A. Shore, J. Opt. Soc. Am. B 11, 1211 (1994).
    [CrossRef]
  6. L. N. Langley, K. A. Shore, Opt. Lett. 18, 1432 (1993).
    [CrossRef] [PubMed]
  7. L. N. Langley, K. A. Shore, IEE Proc. Optoelectron. 141, 103 (1994).
    [CrossRef]
  8. G. R. Gray, A. T. Ryan, G. P. Agrawal, E. C. Gage, Proc. Soc. Photo-Opt. Instrum. Eng. 2039, 45 (1993).
  9. T. Shinbrot, E. Ott, Greboggi, J. A. Yorke, Phys. Rev. Lett. 65, 3215 (1990).
    [CrossRef] [PubMed]
  10. A. M. Samson, S. I. Turovets, V. N. Chizhevsky, V. V. Churakov, Sov. Phys. JETP 74, 628 (1992).
  11. V. N. Chizhevsky, S. I. Turovets, Phys. Rev. A 50, 1840 (1994).
    [CrossRef] [PubMed]
  12. V. N. Chizhevsky, S. I. Turovets, Opt. Commun. 102, 175 (1993).
    [CrossRef]
  13. L. A. Kotomtseva, A. V. Naumenko, A. M. Samson, S. I. Turovets, in European Quantum Electronics Conference ’94 (European Physical Society, Amsterdam, 1994), paper QThG41.
  14. E. A. Avrutin, V. B. Gorfinkel, S. Luryi, K. A. Shore, Appl. Phys. Lett. 63, 2460 (1993).
    [CrossRef]
  15. L. N. Langley, K. A. Shore, IEEE J. Lightwave Technol. 11, 434 (1993).
    [CrossRef]
  16. L. N. Langley, S. Turovets, K. A. Shore, “Targeting in nonlinear dynamics of laser diodes,” IEE Proc. Optoelectron. (to be published).

1994 (4)

K. A. Shore, D. T. Wright, Electron. Lett. 30, 1203 (1994).
[CrossRef]

W. M. Yee, K. A. Shore, J. Opt. Soc. Am. B 11, 1211 (1994).
[CrossRef]

L. N. Langley, K. A. Shore, IEE Proc. Optoelectron. 141, 103 (1994).
[CrossRef]

V. N. Chizhevsky, S. I. Turovets, Phys. Rev. A 50, 1840 (1994).
[CrossRef] [PubMed]

1993 (7)

V. N. Chizhevsky, S. I. Turovets, Opt. Commun. 102, 175 (1993).
[CrossRef]

E. A. Avrutin, V. B. Gorfinkel, S. Luryi, K. A. Shore, Appl. Phys. Lett. 63, 2460 (1993).
[CrossRef]

L. N. Langley, K. A. Shore, IEEE J. Lightwave Technol. 11, 434 (1993).
[CrossRef]

G. R. Gray, A. T. Ryan, G. P. Agrawal, E. C. Gage, Proc. Soc. Photo-Opt. Instrum. Eng. 2039, 45 (1993).

L. N. Langley, K. A. Shore, Opt. Lett. 18, 1432 (1993).
[CrossRef] [PubMed]

S. Hayes, C. Greboggi, E. Ott, Phys. Rev. Lett. 70, 3031 (1993).
[CrossRef] [PubMed]

K. M. Cuomo, A. V. Oppenheim, Phys. Rev. Lett. 71, 65 (1993).
[CrossRef] [PubMed]

1992 (1)

A. M. Samson, S. I. Turovets, V. N. Chizhevsky, V. V. Churakov, Sov. Phys. JETP 74, 628 (1992).

1990 (2)

E. Ott, C. Greboggi, J. A. Yorke, Phys. Rev. Lett. 64, 1196 (1990).
[CrossRef] [PubMed]

T. Shinbrot, E. Ott, Greboggi, J. A. Yorke, Phys. Rev. Lett. 65, 3215 (1990).
[CrossRef] [PubMed]

Agrawal, G. P.

G. R. Gray, A. T. Ryan, G. P. Agrawal, E. C. Gage, Proc. Soc. Photo-Opt. Instrum. Eng. 2039, 45 (1993).

Avrutin, E. A.

E. A. Avrutin, V. B. Gorfinkel, S. Luryi, K. A. Shore, Appl. Phys. Lett. 63, 2460 (1993).
[CrossRef]

Chizhevsky, V. N.

V. N. Chizhevsky, S. I. Turovets, Phys. Rev. A 50, 1840 (1994).
[CrossRef] [PubMed]

V. N. Chizhevsky, S. I. Turovets, Opt. Commun. 102, 175 (1993).
[CrossRef]

A. M. Samson, S. I. Turovets, V. N. Chizhevsky, V. V. Churakov, Sov. Phys. JETP 74, 628 (1992).

Churakov, V. V.

A. M. Samson, S. I. Turovets, V. N. Chizhevsky, V. V. Churakov, Sov. Phys. JETP 74, 628 (1992).

Cuomo, K. M.

K. M. Cuomo, A. V. Oppenheim, Phys. Rev. Lett. 71, 65 (1993).
[CrossRef] [PubMed]

Gage, E. C.

G. R. Gray, A. T. Ryan, G. P. Agrawal, E. C. Gage, Proc. Soc. Photo-Opt. Instrum. Eng. 2039, 45 (1993).

Gorfinkel, V. B.

E. A. Avrutin, V. B. Gorfinkel, S. Luryi, K. A. Shore, Appl. Phys. Lett. 63, 2460 (1993).
[CrossRef]

Gray, G. R.

G. R. Gray, A. T. Ryan, G. P. Agrawal, E. C. Gage, Proc. Soc. Photo-Opt. Instrum. Eng. 2039, 45 (1993).

Greboggi,

T. Shinbrot, E. Ott, Greboggi, J. A. Yorke, Phys. Rev. Lett. 65, 3215 (1990).
[CrossRef] [PubMed]

Greboggi, C.

S. Hayes, C. Greboggi, E. Ott, Phys. Rev. Lett. 70, 3031 (1993).
[CrossRef] [PubMed]

E. Ott, C. Greboggi, J. A. Yorke, Phys. Rev. Lett. 64, 1196 (1990).
[CrossRef] [PubMed]

Hayes, S.

S. Hayes, C. Greboggi, E. Ott, Phys. Rev. Lett. 70, 3031 (1993).
[CrossRef] [PubMed]

Kotomtseva, L. A.

L. A. Kotomtseva, A. V. Naumenko, A. M. Samson, S. I. Turovets, in European Quantum Electronics Conference ’94 (European Physical Society, Amsterdam, 1994), paper QThG41.

Langley, L. N.

L. N. Langley, K. A. Shore, IEE Proc. Optoelectron. 141, 103 (1994).
[CrossRef]

L. N. Langley, K. A. Shore, IEEE J. Lightwave Technol. 11, 434 (1993).
[CrossRef]

L. N. Langley, K. A. Shore, Opt. Lett. 18, 1432 (1993).
[CrossRef] [PubMed]

L. N. Langley, S. Turovets, K. A. Shore, “Targeting in nonlinear dynamics of laser diodes,” IEE Proc. Optoelectron. (to be published).

Luryi, S.

E. A. Avrutin, V. B. Gorfinkel, S. Luryi, K. A. Shore, Appl. Phys. Lett. 63, 2460 (1993).
[CrossRef]

Naumenko, A. V.

L. A. Kotomtseva, A. V. Naumenko, A. M. Samson, S. I. Turovets, in European Quantum Electronics Conference ’94 (European Physical Society, Amsterdam, 1994), paper QThG41.

Oppenheim, A. V.

K. M. Cuomo, A. V. Oppenheim, Phys. Rev. Lett. 71, 65 (1993).
[CrossRef] [PubMed]

Ott, E.

S. Hayes, C. Greboggi, E. Ott, Phys. Rev. Lett. 70, 3031 (1993).
[CrossRef] [PubMed]

E. Ott, C. Greboggi, J. A. Yorke, Phys. Rev. Lett. 64, 1196 (1990).
[CrossRef] [PubMed]

T. Shinbrot, E. Ott, Greboggi, J. A. Yorke, Phys. Rev. Lett. 65, 3215 (1990).
[CrossRef] [PubMed]

Ryan, A. T.

G. R. Gray, A. T. Ryan, G. P. Agrawal, E. C. Gage, Proc. Soc. Photo-Opt. Instrum. Eng. 2039, 45 (1993).

Samson, A. M.

A. M. Samson, S. I. Turovets, V. N. Chizhevsky, V. V. Churakov, Sov. Phys. JETP 74, 628 (1992).

L. A. Kotomtseva, A. V. Naumenko, A. M. Samson, S. I. Turovets, in European Quantum Electronics Conference ’94 (European Physical Society, Amsterdam, 1994), paper QThG41.

Shinbrot, T.

T. Shinbrot, E. Ott, Greboggi, J. A. Yorke, Phys. Rev. Lett. 65, 3215 (1990).
[CrossRef] [PubMed]

Shore, K. A.

L. N. Langley, K. A. Shore, IEE Proc. Optoelectron. 141, 103 (1994).
[CrossRef]

K. A. Shore, D. T. Wright, Electron. Lett. 30, 1203 (1994).
[CrossRef]

W. M. Yee, K. A. Shore, J. Opt. Soc. Am. B 11, 1211 (1994).
[CrossRef]

L. N. Langley, K. A. Shore, Opt. Lett. 18, 1432 (1993).
[CrossRef] [PubMed]

E. A. Avrutin, V. B. Gorfinkel, S. Luryi, K. A. Shore, Appl. Phys. Lett. 63, 2460 (1993).
[CrossRef]

L. N. Langley, K. A. Shore, IEEE J. Lightwave Technol. 11, 434 (1993).
[CrossRef]

L. N. Langley, S. Turovets, K. A. Shore, “Targeting in nonlinear dynamics of laser diodes,” IEE Proc. Optoelectron. (to be published).

Turovets, S.

L. N. Langley, S. Turovets, K. A. Shore, “Targeting in nonlinear dynamics of laser diodes,” IEE Proc. Optoelectron. (to be published).

Turovets, S. I.

V. N. Chizhevsky, S. I. Turovets, Phys. Rev. A 50, 1840 (1994).
[CrossRef] [PubMed]

V. N. Chizhevsky, S. I. Turovets, Opt. Commun. 102, 175 (1993).
[CrossRef]

A. M. Samson, S. I. Turovets, V. N. Chizhevsky, V. V. Churakov, Sov. Phys. JETP 74, 628 (1992).

L. A. Kotomtseva, A. V. Naumenko, A. M. Samson, S. I. Turovets, in European Quantum Electronics Conference ’94 (European Physical Society, Amsterdam, 1994), paper QThG41.

Wright, D. T.

K. A. Shore, D. T. Wright, Electron. Lett. 30, 1203 (1994).
[CrossRef]

Yee, W. M.

Yorke, J. A.

E. Ott, C. Greboggi, J. A. Yorke, Phys. Rev. Lett. 64, 1196 (1990).
[CrossRef] [PubMed]

T. Shinbrot, E. Ott, Greboggi, J. A. Yorke, Phys. Rev. Lett. 65, 3215 (1990).
[CrossRef] [PubMed]

Appl. Phys. Lett. (1)

E. A. Avrutin, V. B. Gorfinkel, S. Luryi, K. A. Shore, Appl. Phys. Lett. 63, 2460 (1993).
[CrossRef]

Electron. Lett. (1)

K. A. Shore, D. T. Wright, Electron. Lett. 30, 1203 (1994).
[CrossRef]

IEE Proc. Optoelectron. (1)

L. N. Langley, K. A. Shore, IEE Proc. Optoelectron. 141, 103 (1994).
[CrossRef]

IEEE J. Lightwave Technol. (1)

L. N. Langley, K. A. Shore, IEEE J. Lightwave Technol. 11, 434 (1993).
[CrossRef]

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

Opt. Commun. (1)

V. N. Chizhevsky, S. I. Turovets, Opt. Commun. 102, 175 (1993).
[CrossRef]

Opt. Lett. (1)

Phys. Rev. A (1)

V. N. Chizhevsky, S. I. Turovets, Phys. Rev. A 50, 1840 (1994).
[CrossRef] [PubMed]

Phys. Rev. Lett. (4)

E. Ott, C. Greboggi, J. A. Yorke, Phys. Rev. Lett. 64, 1196 (1990).
[CrossRef] [PubMed]

S. Hayes, C. Greboggi, E. Ott, Phys. Rev. Lett. 70, 3031 (1993).
[CrossRef] [PubMed]

K. M. Cuomo, A. V. Oppenheim, Phys. Rev. Lett. 71, 65 (1993).
[CrossRef] [PubMed]

T. Shinbrot, E. Ott, Greboggi, J. A. Yorke, Phys. Rev. Lett. 65, 3215 (1990).
[CrossRef] [PubMed]

Proc. Soc. Photo-Opt. Instrum. Eng. (1)

G. R. Gray, A. T. Ryan, G. P. Agrawal, E. C. Gage, Proc. Soc. Photo-Opt. Instrum. Eng. 2039, 45 (1993).

Sov. Phys. JETP (1)

A. M. Samson, S. I. Turovets, V. N. Chizhevsky, V. V. Churakov, Sov. Phys. JETP 74, 628 (1992).

Other (2)

L. A. Kotomtseva, A. V. Naumenko, A. M. Samson, S. I. Turovets, in European Quantum Electronics Conference ’94 (European Physical Society, Amsterdam, 1994), paper QThG41.

L. N. Langley, S. Turovets, K. A. Shore, “Targeting in nonlinear dynamics of laser diodes,” IEE Proc. Optoelectron. (to be published).

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Figures (3)

Fig. 1
Fig. 1

(a) Schematic of a laser diode subject to optical feedback. (b) Bifurcation diagram showing the normalized carrier number as a function of external feedback; the laser is biased at twice the solitary laser threshold current.

Fig. 2
Fig. 2

(a) Time evolution of optical output power of laser operated below the first period-doubling bifurcation at a reflectivity of 10−3, (b) photon carrier density phase-space representation of the laser dynamics.

Fig. 3
Fig. 3

(a) Time evolution of optical output power of a laser operated above the first period-doubling bifurcation at a reflectivity of 1.5 × 10−3, (b) photon carrier density phase-space representation of the laser dynamics.

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