Abstract

I demonstrate numerically that the regular pulse package regime observed in an external-cavity laser diode can be controlled by means of an adequate shift of the optical feedback frequency. This control leads to a stable pulsed behavior.

© 2006 Optical Society of America

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  1. C. Risch and C. Voumard, J. Appl. Phys. 48, 2083 (1977).
    [CrossRef]
  2. T. Sano, Phys. Rev. A 50, 2719 (1994).
    [CrossRef] [PubMed]
  3. I. Fischer, G. H. M. van Tartwijk, A. M. Levine, W. Elsässer, E. Göbel, and D. Lenstra, Phys. Rev. Lett. 76, 220 (1996).
    [CrossRef] [PubMed]
  4. T. Heil, I. Fischer, W. Elsässer, and A. Gavrielides, Phys. Rev. Lett. 87, 243901 (2001).
    [CrossRef] [PubMed]
  5. T. Heil, I. Fischer, W. Elsässer, B. Krauskopf, K. Green, and A. Gavrielides, Phys. Rev. E 67, 066214 (2003).
    [CrossRef]
  6. A. T. Ryan, G. P. Agrawal, G. R. Gray, and E. C. Gage, IEEE J. Quantum Electron. 30, 668 (1994).
    [CrossRef]
  7. N. Kikuchi, Y. Liu, and J. Ohtsubo, IEEE J. Quantum Electron. 33, 56 (1997).
    [CrossRef]
  8. R. Lang and K. Kobayashi, IEEE J. Quantum Electron. 16, 347 (1980).
    [CrossRef]
  9. P. Alsing, V. Kovanis, A. Gavrielides, and T. Erneux, Phys. Rev. A 53, 4429 (1996).
    [CrossRef] [PubMed]
  10. C. H. Henry, IEEE J. Quantum Electron. 18, 259 (1982).
    [CrossRef]
  11. V. Kovanis, A. Gavrielides, and T. Erneux, in Quantum Electronics Conference (Optical Society of America, 2000), p. 143.
  12. S. Bauer, O. Brox, J. Kreissl, B. Sartorius, M. Radziunas, J. Sieber, H.-J. Wünsche, and F. Henneberger, Phys. Rev. E 69, 016206 (2004).
    [CrossRef]
  13. M. Sciamanna, P. Mégret, and M. Blondel, Phys. Rev. E 69, 046209 (2004).
    [CrossRef]

2004 (2)

S. Bauer, O. Brox, J. Kreissl, B. Sartorius, M. Radziunas, J. Sieber, H.-J. Wünsche, and F. Henneberger, Phys. Rev. E 69, 016206 (2004).
[CrossRef]

M. Sciamanna, P. Mégret, and M. Blondel, Phys. Rev. E 69, 046209 (2004).
[CrossRef]

2003 (1)

T. Heil, I. Fischer, W. Elsässer, B. Krauskopf, K. Green, and A. Gavrielides, Phys. Rev. E 67, 066214 (2003).
[CrossRef]

2001 (1)

T. Heil, I. Fischer, W. Elsässer, and A. Gavrielides, Phys. Rev. Lett. 87, 243901 (2001).
[CrossRef] [PubMed]

1997 (1)

N. Kikuchi, Y. Liu, and J. Ohtsubo, IEEE J. Quantum Electron. 33, 56 (1997).
[CrossRef]

1996 (2)

I. Fischer, G. H. M. van Tartwijk, A. M. Levine, W. Elsässer, E. Göbel, and D. Lenstra, Phys. Rev. Lett. 76, 220 (1996).
[CrossRef] [PubMed]

P. Alsing, V. Kovanis, A. Gavrielides, and T. Erneux, Phys. Rev. A 53, 4429 (1996).
[CrossRef] [PubMed]

1994 (2)

T. Sano, Phys. Rev. A 50, 2719 (1994).
[CrossRef] [PubMed]

A. T. Ryan, G. P. Agrawal, G. R. Gray, and E. C. Gage, IEEE J. Quantum Electron. 30, 668 (1994).
[CrossRef]

1982 (1)

C. H. Henry, IEEE J. Quantum Electron. 18, 259 (1982).
[CrossRef]

1980 (1)

R. Lang and K. Kobayashi, IEEE J. Quantum Electron. 16, 347 (1980).
[CrossRef]

1977 (1)

C. Risch and C. Voumard, J. Appl. Phys. 48, 2083 (1977).
[CrossRef]

Agrawal, G. P.

A. T. Ryan, G. P. Agrawal, G. R. Gray, and E. C. Gage, IEEE J. Quantum Electron. 30, 668 (1994).
[CrossRef]

Alsing, P.

P. Alsing, V. Kovanis, A. Gavrielides, and T. Erneux, Phys. Rev. A 53, 4429 (1996).
[CrossRef] [PubMed]

Bauer, S.

S. Bauer, O. Brox, J. Kreissl, B. Sartorius, M. Radziunas, J. Sieber, H.-J. Wünsche, and F. Henneberger, Phys. Rev. E 69, 016206 (2004).
[CrossRef]

Blondel, M.

M. Sciamanna, P. Mégret, and M. Blondel, Phys. Rev. E 69, 046209 (2004).
[CrossRef]

Brox, O.

S. Bauer, O. Brox, J. Kreissl, B. Sartorius, M. Radziunas, J. Sieber, H.-J. Wünsche, and F. Henneberger, Phys. Rev. E 69, 016206 (2004).
[CrossRef]

Elsässer, W.

T. Heil, I. Fischer, W. Elsässer, B. Krauskopf, K. Green, and A. Gavrielides, Phys. Rev. E 67, 066214 (2003).
[CrossRef]

T. Heil, I. Fischer, W. Elsässer, and A. Gavrielides, Phys. Rev. Lett. 87, 243901 (2001).
[CrossRef] [PubMed]

I. Fischer, G. H. M. van Tartwijk, A. M. Levine, W. Elsässer, E. Göbel, and D. Lenstra, Phys. Rev. Lett. 76, 220 (1996).
[CrossRef] [PubMed]

Erneux, T.

P. Alsing, V. Kovanis, A. Gavrielides, and T. Erneux, Phys. Rev. A 53, 4429 (1996).
[CrossRef] [PubMed]

V. Kovanis, A. Gavrielides, and T. Erneux, in Quantum Electronics Conference (Optical Society of America, 2000), p. 143.

Fischer, I.

T. Heil, I. Fischer, W. Elsässer, B. Krauskopf, K. Green, and A. Gavrielides, Phys. Rev. E 67, 066214 (2003).
[CrossRef]

T. Heil, I. Fischer, W. Elsässer, and A. Gavrielides, Phys. Rev. Lett. 87, 243901 (2001).
[CrossRef] [PubMed]

I. Fischer, G. H. M. van Tartwijk, A. M. Levine, W. Elsässer, E. Göbel, and D. Lenstra, Phys. Rev. Lett. 76, 220 (1996).
[CrossRef] [PubMed]

Gage, E. C.

A. T. Ryan, G. P. Agrawal, G. R. Gray, and E. C. Gage, IEEE J. Quantum Electron. 30, 668 (1994).
[CrossRef]

Gavrielides, A.

T. Heil, I. Fischer, W. Elsässer, B. Krauskopf, K. Green, and A. Gavrielides, Phys. Rev. E 67, 066214 (2003).
[CrossRef]

T. Heil, I. Fischer, W. Elsässer, and A. Gavrielides, Phys. Rev. Lett. 87, 243901 (2001).
[CrossRef] [PubMed]

P. Alsing, V. Kovanis, A. Gavrielides, and T. Erneux, Phys. Rev. A 53, 4429 (1996).
[CrossRef] [PubMed]

V. Kovanis, A. Gavrielides, and T. Erneux, in Quantum Electronics Conference (Optical Society of America, 2000), p. 143.

Göbel, E.

I. Fischer, G. H. M. van Tartwijk, A. M. Levine, W. Elsässer, E. Göbel, and D. Lenstra, Phys. Rev. Lett. 76, 220 (1996).
[CrossRef] [PubMed]

Gray, G. R.

A. T. Ryan, G. P. Agrawal, G. R. Gray, and E. C. Gage, IEEE J. Quantum Electron. 30, 668 (1994).
[CrossRef]

Green, K.

T. Heil, I. Fischer, W. Elsässer, B. Krauskopf, K. Green, and A. Gavrielides, Phys. Rev. E 67, 066214 (2003).
[CrossRef]

Heil, T.

T. Heil, I. Fischer, W. Elsässer, B. Krauskopf, K. Green, and A. Gavrielides, Phys. Rev. E 67, 066214 (2003).
[CrossRef]

T. Heil, I. Fischer, W. Elsässer, and A. Gavrielides, Phys. Rev. Lett. 87, 243901 (2001).
[CrossRef] [PubMed]

Henneberger, F.

S. Bauer, O. Brox, J. Kreissl, B. Sartorius, M. Radziunas, J. Sieber, H.-J. Wünsche, and F. Henneberger, Phys. Rev. E 69, 016206 (2004).
[CrossRef]

Henry, C. H.

C. H. Henry, IEEE J. Quantum Electron. 18, 259 (1982).
[CrossRef]

Kikuchi, N.

N. Kikuchi, Y. Liu, and J. Ohtsubo, IEEE J. Quantum Electron. 33, 56 (1997).
[CrossRef]

Kobayashi, K.

R. Lang and K. Kobayashi, IEEE J. Quantum Electron. 16, 347 (1980).
[CrossRef]

Kovanis, V.

P. Alsing, V. Kovanis, A. Gavrielides, and T. Erneux, Phys. Rev. A 53, 4429 (1996).
[CrossRef] [PubMed]

V. Kovanis, A. Gavrielides, and T. Erneux, in Quantum Electronics Conference (Optical Society of America, 2000), p. 143.

Krauskopf, B.

T. Heil, I. Fischer, W. Elsässer, B. Krauskopf, K. Green, and A. Gavrielides, Phys. Rev. E 67, 066214 (2003).
[CrossRef]

Kreissl, J.

S. Bauer, O. Brox, J. Kreissl, B. Sartorius, M. Radziunas, J. Sieber, H.-J. Wünsche, and F. Henneberger, Phys. Rev. E 69, 016206 (2004).
[CrossRef]

Lang, R.

R. Lang and K. Kobayashi, IEEE J. Quantum Electron. 16, 347 (1980).
[CrossRef]

Lenstra, D.

I. Fischer, G. H. M. van Tartwijk, A. M. Levine, W. Elsässer, E. Göbel, and D. Lenstra, Phys. Rev. Lett. 76, 220 (1996).
[CrossRef] [PubMed]

Levine, A. M.

I. Fischer, G. H. M. van Tartwijk, A. M. Levine, W. Elsässer, E. Göbel, and D. Lenstra, Phys. Rev. Lett. 76, 220 (1996).
[CrossRef] [PubMed]

Liu, Y.

N. Kikuchi, Y. Liu, and J. Ohtsubo, IEEE J. Quantum Electron. 33, 56 (1997).
[CrossRef]

Mégret, P.

M. Sciamanna, P. Mégret, and M. Blondel, Phys. Rev. E 69, 046209 (2004).
[CrossRef]

Ohtsubo, J.

N. Kikuchi, Y. Liu, and J. Ohtsubo, IEEE J. Quantum Electron. 33, 56 (1997).
[CrossRef]

Radziunas, M.

S. Bauer, O. Brox, J. Kreissl, B. Sartorius, M. Radziunas, J. Sieber, H.-J. Wünsche, and F. Henneberger, Phys. Rev. E 69, 016206 (2004).
[CrossRef]

Risch, C.

C. Risch and C. Voumard, J. Appl. Phys. 48, 2083 (1977).
[CrossRef]

Ryan, A. T.

A. T. Ryan, G. P. Agrawal, G. R. Gray, and E. C. Gage, IEEE J. Quantum Electron. 30, 668 (1994).
[CrossRef]

Sano, T.

T. Sano, Phys. Rev. A 50, 2719 (1994).
[CrossRef] [PubMed]

Sartorius, B.

S. Bauer, O. Brox, J. Kreissl, B. Sartorius, M. Radziunas, J. Sieber, H.-J. Wünsche, and F. Henneberger, Phys. Rev. E 69, 016206 (2004).
[CrossRef]

Sciamanna, M.

M. Sciamanna, P. Mégret, and M. Blondel, Phys. Rev. E 69, 046209 (2004).
[CrossRef]

Sieber, J.

S. Bauer, O. Brox, J. Kreissl, B. Sartorius, M. Radziunas, J. Sieber, H.-J. Wünsche, and F. Henneberger, Phys. Rev. E 69, 016206 (2004).
[CrossRef]

van Tartwijk, G. H. M.

I. Fischer, G. H. M. van Tartwijk, A. M. Levine, W. Elsässer, E. Göbel, and D. Lenstra, Phys. Rev. Lett. 76, 220 (1996).
[CrossRef] [PubMed]

Voumard, C.

C. Risch and C. Voumard, J. Appl. Phys. 48, 2083 (1977).
[CrossRef]

Wünsche, H.-J.

S. Bauer, O. Brox, J. Kreissl, B. Sartorius, M. Radziunas, J. Sieber, H.-J. Wünsche, and F. Henneberger, Phys. Rev. E 69, 016206 (2004).
[CrossRef]

IEEE J. Quantum Electron. (4)

A. T. Ryan, G. P. Agrawal, G. R. Gray, and E. C. Gage, IEEE J. Quantum Electron. 30, 668 (1994).
[CrossRef]

N. Kikuchi, Y. Liu, and J. Ohtsubo, IEEE J. Quantum Electron. 33, 56 (1997).
[CrossRef]

R. Lang and K. Kobayashi, IEEE J. Quantum Electron. 16, 347 (1980).
[CrossRef]

C. H. Henry, IEEE J. Quantum Electron. 18, 259 (1982).
[CrossRef]

J. Appl. Phys. (1)

C. Risch and C. Voumard, J. Appl. Phys. 48, 2083 (1977).
[CrossRef]

Phys. Rev. A (2)

T. Sano, Phys. Rev. A 50, 2719 (1994).
[CrossRef] [PubMed]

P. Alsing, V. Kovanis, A. Gavrielides, and T. Erneux, Phys. Rev. A 53, 4429 (1996).
[CrossRef] [PubMed]

Phys. Rev. E (3)

S. Bauer, O. Brox, J. Kreissl, B. Sartorius, M. Radziunas, J. Sieber, H.-J. Wünsche, and F. Henneberger, Phys. Rev. E 69, 016206 (2004).
[CrossRef]

M. Sciamanna, P. Mégret, and M. Blondel, Phys. Rev. E 69, 046209 (2004).
[CrossRef]

T. Heil, I. Fischer, W. Elsässer, B. Krauskopf, K. Green, and A. Gavrielides, Phys. Rev. E 67, 066214 (2003).
[CrossRef]

Phys. Rev. Lett. (2)

I. Fischer, G. H. M. van Tartwijk, A. M. Levine, W. Elsässer, E. Göbel, and D. Lenstra, Phys. Rev. Lett. 76, 220 (1996).
[CrossRef] [PubMed]

T. Heil, I. Fischer, W. Elsässer, and A. Gavrielides, Phys. Rev. Lett. 87, 243901 (2001).
[CrossRef] [PubMed]

Other (1)

V. Kovanis, A. Gavrielides, and T. Erneux, in Quantum Electronics Conference (Optical Society of America, 2000), p. 143.

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Figures (4)

Fig. 1
Fig. 1

Schematic of a laser diode subject to frequency-shifted optical feedback.

Fig. 2
Fig. 2

(a) Time trace of the laser output in the absence of a frequency shift. (b) Time trace of the laser output in the case of a frequency shift of the optical feedback δ = 400 MHz ( Δ = 2.79 × 10 3 ) .

Fig. 3
Fig. 3

Bifurcation diagram of the laser intensity. It shows the extrema of the intensity with respect to the frequency shift, δ. The inset is an enlarged view of the bifurcation diagram in the range δ = 0 GHz to δ = 1 GHz .

Fig. 4
Fig. 4

(a) Period and (b) relative amplitude jitter of the pulses as functions of the optical feedback frequency shift. In (b), the amplitude jitter is normalized with respect to the average amplitude of the pulses.

Equations (2)

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d E d s = ( 1 + i α ) N E + η E ( s θ ) exp ( i Ω θ + i Δ s ) ,
d N d s = P N ( 1 + 2 N ) E 2 ,

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