Abstract

We investigate experimentally the polarization dynamics of vertical-cavity surface-emitting lasers with isotropic optical feedback operating in the long-cavity regime. By means of an analysis of the correlation properties in the time domain and in the frequency domain a connection between a drift phenomenon and frequency components that deviate from the harmonics of the external cavity round-trip frequency is revealed. The latter frequency components are shown to result from an interaction of external cavity dynamics and relaxation oscillations. An analogy to the carrier-envelope effect in mode-locked lasers is drawn. Similar drift phenomena are observed also for other laser systems with delay.

© 2005 Optical Society of America

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  1. K. Petermann, “External optical feedback phenomena in semiconductor lasers,” IEEE J. Selec. Top. Quantum Electron. 1, 480–489 (1995).
    [CrossRef]
  2. G. H. M. v. Tartwijk and D. Lenstra, “Semiconductor lasers with optical injection and feedback,” J. Opt. B: Quantum Semiclass. Opt. 7, 87–143 (1995).
    [CrossRef]
  3. B. Krauskopf and D. Lenstra, eds., Fundamental issues of nonlinear laser dynamics, vol. 548 of AIP Conference Proceedings (American Institute of Physics, Melville, 2000).
  4. F. Robert, P. Besnard, M. L. Chares, and G. M. Stephan, “Polarization modulation dynamics of vertical-cavity surface-emitting lasers with an extended cavity,” IEEE J. Quantum Electron. 33, 2231–2238 (1997).
    [CrossRef]
  5. M. Giudici, S. Balle, T. Ackemann, S. Barland, and J. R. Tredicce, “Effects of Optical Feedback on Vertical-Cavity Surface-Emitting Lasers: Experiment and Model,” J. Opt. Soc. Am. B 16, 2114–2123 (1999).
    [CrossRef]
  6. M. Sciamanna, K. Panajotov, H. Thienpont, I. Veretennicoff, P. Megret, and M. Blondel, “Optical Feedback induces polarization mode hopping in vertical-cavity surface-emitting lasers,” Opt. Lett. 28(17), 1543–1545 (2003).
    [CrossRef]
  7. M. Sondermann, H. Bohnet, and T. Ackemann, “Low Frequency Fluctuations and Polarization Dynamics in Vertical-cavity Surface-emitting Lasers with Isotropic Feedback,” Phys. Rev. A 67, 021,802 (2003).
    [CrossRef]
  8. G. Giacomelli, F. Marin, and M. Romanelli, “Multi-time-scale dynamics of a laser with polarized optical feedback,” Phys. Rev. A 67, 053,809 (2003).
    [CrossRef]
  9. A. V. Naumenko, N. A. Loiko, M. Sondermann, and T. Ackemann, “Description and analysis of low frequency fluctuations in vertical-cavity surface-emitting lasers with isotropic optical feedback by a distant reflector,” Phys. Rev. A 68, 033,805 (2003).
    [CrossRef]
  10. M. San Miguel, “Polarization properties of vertical cavity surface emitting lasers,” in Semiconductor quantum optoelectronics: From quantum physics to smart devices, A. Miller, M. Ebrahimzadeh, and D. M. Finlayson, eds., pp. 339–366 (SUSSP and Institute of Physics Publishing, Bristol, 1999).
  11. F. T. Arecchi, G. Giacomelli, A. Lapucci, and R. Meucci, “Two-dimensional representation of a delayed dynamical system,” Phys. Rev. A 45, 4225–4228 (1992).
    [CrossRef] [PubMed]
  12. G. Giacomelli, M. Giudici, S. Balle, and J. R. Tredicce, “Experimental evidence of coherence resonance in an optical system,” Phys. Rev. Lett. 84, 3298–3301 (2000).
    [CrossRef] [PubMed]
  13. T. Ackemann, M. Sondermann, A. V. Naumenko, and N. A. Loiko, “Polarization dynamics and low-frequency fluctuations in vertical-cavity surface-emitting lasers subjected to optical feedback,” Appl. Phys. B 77, 739–746 (2003).
    [CrossRef]
  14. M. P. v. Exter, R. F. M. Hendriks, J. P. Woerdman, and C. J. v. Poel, “Explanation of double-peaked intensity noise spectrum of an external-cavity semiconductor laser,” Opt. Commun. 110, 137–140 (1994).
    [CrossRef]
  15. M. Giudici, C. Green, G. Nespolo, U. Giacomelli, and J. R. Tredicce, “Andronov bifurcation and excitability in semiconductor lasers with optical feedback,” Phys. Rev. E 55, 6414–6118 (1997).
    [CrossRef]
  16. M. Giudici, L. Giuggioli, C. Green, and J. R. Tredicce, “Dynamical behavior of semiconductor lasers with frequency selective optical feedback,” Chaos, Solitons & Fractals 10, 811–818 (1999).
  17. A. Gavrielides, T. C. Newell, V. Kovanis, R. G. Harrison, N. Swanston, D. Yu, and W. Lu, “Synchronous Sisyphus effect in diode lasers subject to optical feedback,” Phys. Rev. A 60, 1577–1580 (1999).
    [CrossRef]
  18. W. H. Press, B. Flannery, S. Teukolsky, and W. Vettering, Numerical recipes: the art of scientific computing (Cambridge University Press, Cambridge, 1992).
  19. L. A. Coldren and S. W. Corzine, Diode Lasers and Photonic Integrated Circuits (Wiley, New York, 1995).
  20. J. Mørk, B. Tromborg, and J. Mark, “Chaos in Semiconductor Lasers with Optical Feedback: Theory and Experiment,” IEEE J. Quantum Electron. 28(1), 93–108 (1992).
    [CrossRef]
  21. M. Ahmed and M. Yamada, “Influence of Instantaneous Mode Competition on the Dynamics of Semiconductor Lasers,” IEEE J. Quantum Electron. 38(6), 682–693 (2002).
    [CrossRef]
  22. I. Leyva, E. Allaria, and R. Meucci, “Transient polarization dynamics in a CO2 laser,” Opt. Commun. 217, 335–342 (2003).
    [CrossRef]
  23. M. Sondermann, M. Weinkath, T. Ackemann, J. Mulet, and S. Balle, “Two-frequency emission and polarization dynamics at lasing threshold in vertical-cavity surface-emitting lasers,” Phys. Rev. A 68, 033,822 (2003).
    [CrossRef]
  24. A. Uchida, Y. Liu, I. Fischer, P. Davis, and T. Aida, “Chaotic antiphase dynamics and synchronization in multi-mode semiconductor lasers,” Phys. Rev. A 64, 023,801 (2001).
    [CrossRef]
  25. T. Heil, I. Fischer, W. Elsäßer, and A. Gavrielides, “Dynamics of Semiconductor Lasers Subject to Delayed Optical Feedback: The Short Cavity Regime,” Phys. Rev. Lett. 87(24), 243,901 (2001).
  26. J. Reichert, R. Holzwarth, T. Udem, and T. W. Hänsch, “Measuring the frequency of light with mode-locked lasers,” Opt. Commun. 172, 59–68 (1999).
    [CrossRef]
  27. D. J. Jones, S. A. Diddams, J. K. Ranka, A. Stentz, R. S. Windeler, J. L. Hall, and S. T. Cundiff, “Carrier-Envelope Phase Control of Femtosecond Mode-Locked Lasers and Direct Optical Frequency Synthesis,” Science 288, 635–639 (2000).
    [CrossRef] [PubMed]
  28. T. Udem, R. Holzwarth, and T. W. Hánsch, “Optical frequency metrology,” Nature 416, 233–247 (2002).
    [CrossRef] [PubMed]
  29. G. H. M. v. Tartwijk, A. M. Levine, and D. Lenstra, “Sisyphus effect in semiconductor lasers with optical feedback,” IEEE J. Selec. Top. Quantum Electron. 1, 466–472 (1995).
    [CrossRef]
  30. J. S. Cohen, R. R. Drenten, and B. H. Verbeek, “The Effect of Optical Feedback on the Relaxation Oscillation in Semiconductor Lasers,” IEEE J. Quantum Electron. 24(10), 1989–1995 (1988).
    [CrossRef]
  31. N. A. Loiko and A. M. Samson, “Possible regimes of generation of a semiconductor laser with a delayed opto-electric feedback,” Opt. Commun. 93, 66–72 (1992).
    [CrossRef]
  32. G. Giacomelli and A. Politi, “Multiple scale analysis of delayed dynamical systems,” Physica D 145, 26–42 (1998).
    [CrossRef]
  33. M. Bestehorn, E. V. Grigorieva, H. Haken, and S. A. Kaschenko, “Order parameters for class-B lasers with a long time delayed feedback,” Physica D 145, 110–129 (2000).
    [CrossRef]
  34. E. V. Grigorieva, H. Haken, and S. A. Kaschenko, “Theory of quasiperiodicity in model of lasers with delayed optoelectronic feedback,” Opt. Commun. 165, 279–292 (1999).
    [CrossRef]

2003 (7)

M. Sciamanna, K. Panajotov, H. Thienpont, I. Veretennicoff, P. Megret, and M. Blondel, “Optical Feedback induces polarization mode hopping in vertical-cavity surface-emitting lasers,” Opt. Lett. 28(17), 1543–1545 (2003).
[CrossRef]

M. Sondermann, H. Bohnet, and T. Ackemann, “Low Frequency Fluctuations and Polarization Dynamics in Vertical-cavity Surface-emitting Lasers with Isotropic Feedback,” Phys. Rev. A 67, 021,802 (2003).
[CrossRef]

G. Giacomelli, F. Marin, and M. Romanelli, “Multi-time-scale dynamics of a laser with polarized optical feedback,” Phys. Rev. A 67, 053,809 (2003).
[CrossRef]

A. V. Naumenko, N. A. Loiko, M. Sondermann, and T. Ackemann, “Description and analysis of low frequency fluctuations in vertical-cavity surface-emitting lasers with isotropic optical feedback by a distant reflector,” Phys. Rev. A 68, 033,805 (2003).
[CrossRef]

T. Ackemann, M. Sondermann, A. V. Naumenko, and N. A. Loiko, “Polarization dynamics and low-frequency fluctuations in vertical-cavity surface-emitting lasers subjected to optical feedback,” Appl. Phys. B 77, 739–746 (2003).
[CrossRef]

I. Leyva, E. Allaria, and R. Meucci, “Transient polarization dynamics in a CO2 laser,” Opt. Commun. 217, 335–342 (2003).
[CrossRef]

M. Sondermann, M. Weinkath, T. Ackemann, J. Mulet, and S. Balle, “Two-frequency emission and polarization dynamics at lasing threshold in vertical-cavity surface-emitting lasers,” Phys. Rev. A 68, 033,822 (2003).
[CrossRef]

2002 (2)

M. Ahmed and M. Yamada, “Influence of Instantaneous Mode Competition on the Dynamics of Semiconductor Lasers,” IEEE J. Quantum Electron. 38(6), 682–693 (2002).
[CrossRef]

T. Udem, R. Holzwarth, and T. W. Hánsch, “Optical frequency metrology,” Nature 416, 233–247 (2002).
[CrossRef] [PubMed]

2001 (2)

A. Uchida, Y. Liu, I. Fischer, P. Davis, and T. Aida, “Chaotic antiphase dynamics and synchronization in multi-mode semiconductor lasers,” Phys. Rev. A 64, 023,801 (2001).
[CrossRef]

T. Heil, I. Fischer, W. Elsäßer, and A. Gavrielides, “Dynamics of Semiconductor Lasers Subject to Delayed Optical Feedback: The Short Cavity Regime,” Phys. Rev. Lett. 87(24), 243,901 (2001).

2000 (3)

D. J. Jones, S. A. Diddams, J. K. Ranka, A. Stentz, R. S. Windeler, J. L. Hall, and S. T. Cundiff, “Carrier-Envelope Phase Control of Femtosecond Mode-Locked Lasers and Direct Optical Frequency Synthesis,” Science 288, 635–639 (2000).
[CrossRef] [PubMed]

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

M. Bestehorn, E. V. Grigorieva, H. Haken, and S. A. Kaschenko, “Order parameters for class-B lasers with a long time delayed feedback,” Physica D 145, 110–129 (2000).
[CrossRef]

1999 (5)

E. V. Grigorieva, H. Haken, and S. A. Kaschenko, “Theory of quasiperiodicity in model of lasers with delayed optoelectronic feedback,” Opt. Commun. 165, 279–292 (1999).
[CrossRef]

M. Giudici, S. Balle, T. Ackemann, S. Barland, and J. R. Tredicce, “Effects of Optical Feedback on Vertical-Cavity Surface-Emitting Lasers: Experiment and Model,” J. Opt. Soc. Am. B 16, 2114–2123 (1999).
[CrossRef]

M. Giudici, L. Giuggioli, C. Green, and J. R. Tredicce, “Dynamical behavior of semiconductor lasers with frequency selective optical feedback,” Chaos, Solitons & Fractals 10, 811–818 (1999).

A. Gavrielides, T. C. Newell, V. Kovanis, R. G. Harrison, N. Swanston, D. Yu, and W. Lu, “Synchronous Sisyphus effect in diode lasers subject to optical feedback,” Phys. Rev. A 60, 1577–1580 (1999).
[CrossRef]

J. Reichert, R. Holzwarth, T. Udem, and T. W. Hänsch, “Measuring the frequency of light with mode-locked lasers,” Opt. Commun. 172, 59–68 (1999).
[CrossRef]

1998 (1)

G. Giacomelli and A. Politi, “Multiple scale analysis of delayed dynamical systems,” Physica D 145, 26–42 (1998).
[CrossRef]

1997 (2)

F. Robert, P. Besnard, M. L. Chares, and G. M. Stephan, “Polarization modulation dynamics of vertical-cavity surface-emitting lasers with an extended cavity,” IEEE J. Quantum Electron. 33, 2231–2238 (1997).
[CrossRef]

M. Giudici, C. Green, G. Nespolo, U. Giacomelli, and J. R. Tredicce, “Andronov bifurcation and excitability in semiconductor lasers with optical feedback,” Phys. Rev. E 55, 6414–6118 (1997).
[CrossRef]

1995 (3)

G. H. M. v. Tartwijk, A. M. Levine, and D. Lenstra, “Sisyphus effect in semiconductor lasers with optical feedback,” IEEE J. Selec. Top. Quantum Electron. 1, 466–472 (1995).
[CrossRef]

K. Petermann, “External optical feedback phenomena in semiconductor lasers,” IEEE J. Selec. Top. Quantum Electron. 1, 480–489 (1995).
[CrossRef]

G. H. M. v. Tartwijk and D. Lenstra, “Semiconductor lasers with optical injection and feedback,” J. Opt. B: Quantum Semiclass. Opt. 7, 87–143 (1995).
[CrossRef]

1994 (1)

M. P. v. Exter, R. F. M. Hendriks, J. P. Woerdman, and C. J. v. Poel, “Explanation of double-peaked intensity noise spectrum of an external-cavity semiconductor laser,” Opt. Commun. 110, 137–140 (1994).
[CrossRef]

1992 (3)

F. T. Arecchi, G. Giacomelli, A. Lapucci, and R. Meucci, “Two-dimensional representation of a delayed dynamical system,” Phys. Rev. A 45, 4225–4228 (1992).
[CrossRef] [PubMed]

J. Mørk, B. Tromborg, and J. Mark, “Chaos in Semiconductor Lasers with Optical Feedback: Theory and Experiment,” IEEE J. Quantum Electron. 28(1), 93–108 (1992).
[CrossRef]

N. A. Loiko and A. M. Samson, “Possible regimes of generation of a semiconductor laser with a delayed opto-electric feedback,” Opt. Commun. 93, 66–72 (1992).
[CrossRef]

1988 (1)

J. S. Cohen, R. R. Drenten, and B. H. Verbeek, “The Effect of Optical Feedback on the Relaxation Oscillation in Semiconductor Lasers,” IEEE J. Quantum Electron. 24(10), 1989–1995 (1988).
[CrossRef]

Ackemann, T.

M. Sondermann, H. Bohnet, and T. Ackemann, “Low Frequency Fluctuations and Polarization Dynamics in Vertical-cavity Surface-emitting Lasers with Isotropic Feedback,” Phys. Rev. A 67, 021,802 (2003).
[CrossRef]

A. V. Naumenko, N. A. Loiko, M. Sondermann, and T. Ackemann, “Description and analysis of low frequency fluctuations in vertical-cavity surface-emitting lasers with isotropic optical feedback by a distant reflector,” Phys. Rev. A 68, 033,805 (2003).
[CrossRef]

T. Ackemann, M. Sondermann, A. V. Naumenko, and N. A. Loiko, “Polarization dynamics and low-frequency fluctuations in vertical-cavity surface-emitting lasers subjected to optical feedback,” Appl. Phys. B 77, 739–746 (2003).
[CrossRef]

M. Sondermann, M. Weinkath, T. Ackemann, J. Mulet, and S. Balle, “Two-frequency emission and polarization dynamics at lasing threshold in vertical-cavity surface-emitting lasers,” Phys. Rev. A 68, 033,822 (2003).
[CrossRef]

M. Giudici, S. Balle, T. Ackemann, S. Barland, and J. R. Tredicce, “Effects of Optical Feedback on Vertical-Cavity Surface-Emitting Lasers: Experiment and Model,” J. Opt. Soc. Am. B 16, 2114–2123 (1999).
[CrossRef]

Ahmed, M.

M. Ahmed and M. Yamada, “Influence of Instantaneous Mode Competition on the Dynamics of Semiconductor Lasers,” IEEE J. Quantum Electron. 38(6), 682–693 (2002).
[CrossRef]

Aida, T.

A. Uchida, Y. Liu, I. Fischer, P. Davis, and T. Aida, “Chaotic antiphase dynamics and synchronization in multi-mode semiconductor lasers,” Phys. Rev. A 64, 023,801 (2001).
[CrossRef]

Allaria, E.

I. Leyva, E. Allaria, and R. Meucci, “Transient polarization dynamics in a CO2 laser,” Opt. Commun. 217, 335–342 (2003).
[CrossRef]

Arecchi, F. T.

F. T. Arecchi, G. Giacomelli, A. Lapucci, and R. Meucci, “Two-dimensional representation of a delayed dynamical system,” Phys. Rev. A 45, 4225–4228 (1992).
[CrossRef] [PubMed]

Balle, S.

M. Sondermann, M. Weinkath, T. Ackemann, J. Mulet, and S. Balle, “Two-frequency emission and polarization dynamics at lasing threshold in vertical-cavity surface-emitting lasers,” Phys. Rev. A 68, 033,822 (2003).
[CrossRef]

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

M. Giudici, S. Balle, T. Ackemann, S. Barland, and J. R. Tredicce, “Effects of Optical Feedback on Vertical-Cavity Surface-Emitting Lasers: Experiment and Model,” J. Opt. Soc. Am. B 16, 2114–2123 (1999).
[CrossRef]

Barland, S.

Besnard, P.

F. Robert, P. Besnard, M. L. Chares, and G. M. Stephan, “Polarization modulation dynamics of vertical-cavity surface-emitting lasers with an extended cavity,” IEEE J. Quantum Electron. 33, 2231–2238 (1997).
[CrossRef]

Bestehorn, M.

M. Bestehorn, E. V. Grigorieva, H. Haken, and S. A. Kaschenko, “Order parameters for class-B lasers with a long time delayed feedback,” Physica D 145, 110–129 (2000).
[CrossRef]

Blondel, M.

M. Sciamanna, K. Panajotov, H. Thienpont, I. Veretennicoff, P. Megret, and M. Blondel, “Optical Feedback induces polarization mode hopping in vertical-cavity surface-emitting lasers,” Opt. Lett. 28(17), 1543–1545 (2003).
[CrossRef]

Bohnet, H.

M. Sondermann, H. Bohnet, and T. Ackemann, “Low Frequency Fluctuations and Polarization Dynamics in Vertical-cavity Surface-emitting Lasers with Isotropic Feedback,” Phys. Rev. A 67, 021,802 (2003).
[CrossRef]

Chares, M. L.

F. Robert, P. Besnard, M. L. Chares, and G. M. Stephan, “Polarization modulation dynamics of vertical-cavity surface-emitting lasers with an extended cavity,” IEEE J. Quantum Electron. 33, 2231–2238 (1997).
[CrossRef]

Cohen, J. S.

J. S. Cohen, R. R. Drenten, and B. H. Verbeek, “The Effect of Optical Feedback on the Relaxation Oscillation in Semiconductor Lasers,” IEEE J. Quantum Electron. 24(10), 1989–1995 (1988).
[CrossRef]

Coldren, L. A.

L. A. Coldren and S. W. Corzine, Diode Lasers and Photonic Integrated Circuits (Wiley, New York, 1995).

Corzine, S. W.

L. A. Coldren and S. W. Corzine, Diode Lasers and Photonic Integrated Circuits (Wiley, New York, 1995).

Cundiff, S. T.

D. J. Jones, S. A. Diddams, J. K. Ranka, A. Stentz, R. S. Windeler, J. L. Hall, and S. T. Cundiff, “Carrier-Envelope Phase Control of Femtosecond Mode-Locked Lasers and Direct Optical Frequency Synthesis,” Science 288, 635–639 (2000).
[CrossRef] [PubMed]

Davis, P.

A. Uchida, Y. Liu, I. Fischer, P. Davis, and T. Aida, “Chaotic antiphase dynamics and synchronization in multi-mode semiconductor lasers,” Phys. Rev. A 64, 023,801 (2001).
[CrossRef]

Diddams, S. A.

D. J. Jones, S. A. Diddams, J. K. Ranka, A. Stentz, R. S. Windeler, J. L. Hall, and S. T. Cundiff, “Carrier-Envelope Phase Control of Femtosecond Mode-Locked Lasers and Direct Optical Frequency Synthesis,” Science 288, 635–639 (2000).
[CrossRef] [PubMed]

Drenten, R. R.

J. S. Cohen, R. R. Drenten, and B. H. Verbeek, “The Effect of Optical Feedback on the Relaxation Oscillation in Semiconductor Lasers,” IEEE J. Quantum Electron. 24(10), 1989–1995 (1988).
[CrossRef]

Elsäßer, W.

T. Heil, I. Fischer, W. Elsäßer, and A. Gavrielides, “Dynamics of Semiconductor Lasers Subject to Delayed Optical Feedback: The Short Cavity Regime,” Phys. Rev. Lett. 87(24), 243,901 (2001).

Exter, M. P. v.

M. P. v. Exter, R. F. M. Hendriks, J. P. Woerdman, and C. J. v. Poel, “Explanation of double-peaked intensity noise spectrum of an external-cavity semiconductor laser,” Opt. Commun. 110, 137–140 (1994).
[CrossRef]

Fischer, I.

T. Heil, I. Fischer, W. Elsäßer, and A. Gavrielides, “Dynamics of Semiconductor Lasers Subject to Delayed Optical Feedback: The Short Cavity Regime,” Phys. Rev. Lett. 87(24), 243,901 (2001).

A. Uchida, Y. Liu, I. Fischer, P. Davis, and T. Aida, “Chaotic antiphase dynamics and synchronization in multi-mode semiconductor lasers,” Phys. Rev. A 64, 023,801 (2001).
[CrossRef]

Flannery, B.

W. H. Press, B. Flannery, S. Teukolsky, and W. Vettering, Numerical recipes: the art of scientific computing (Cambridge University Press, Cambridge, 1992).

Gavrielides, A.

T. Heil, I. Fischer, W. Elsäßer, and A. Gavrielides, “Dynamics of Semiconductor Lasers Subject to Delayed Optical Feedback: The Short Cavity Regime,” Phys. Rev. Lett. 87(24), 243,901 (2001).

A. Gavrielides, T. C. Newell, V. Kovanis, R. G. Harrison, N. Swanston, D. Yu, and W. Lu, “Synchronous Sisyphus effect in diode lasers subject to optical feedback,” Phys. Rev. A 60, 1577–1580 (1999).
[CrossRef]

Giacomelli, G.

G. Giacomelli, F. Marin, and M. Romanelli, “Multi-time-scale dynamics of a laser with polarized optical feedback,” Phys. Rev. A 67, 053,809 (2003).
[CrossRef]

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

G. Giacomelli and A. Politi, “Multiple scale analysis of delayed dynamical systems,” Physica D 145, 26–42 (1998).
[CrossRef]

F. T. Arecchi, G. Giacomelli, A. Lapucci, and R. Meucci, “Two-dimensional representation of a delayed dynamical system,” Phys. Rev. A 45, 4225–4228 (1992).
[CrossRef] [PubMed]

Giacomelli, U.

M. Giudici, C. Green, G. Nespolo, U. Giacomelli, and J. R. Tredicce, “Andronov bifurcation and excitability in semiconductor lasers with optical feedback,” Phys. Rev. E 55, 6414–6118 (1997).
[CrossRef]

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, 3298–3301 (2000).
[CrossRef] [PubMed]

M. Giudici, S. Balle, T. Ackemann, S. Barland, and J. R. Tredicce, “Effects of Optical Feedback on Vertical-Cavity Surface-Emitting Lasers: Experiment and Model,” J. Opt. Soc. Am. B 16, 2114–2123 (1999).
[CrossRef]

M. Giudici, L. Giuggioli, C. Green, and J. R. Tredicce, “Dynamical behavior of semiconductor lasers with frequency selective optical feedback,” Chaos, Solitons & Fractals 10, 811–818 (1999).

M. Giudici, C. Green, G. Nespolo, U. Giacomelli, and J. R. Tredicce, “Andronov bifurcation and excitability in semiconductor lasers with optical feedback,” Phys. Rev. E 55, 6414–6118 (1997).
[CrossRef]

Giuggioli, L.

M. Giudici, L. Giuggioli, C. Green, and J. R. Tredicce, “Dynamical behavior of semiconductor lasers with frequency selective optical feedback,” Chaos, Solitons & Fractals 10, 811–818 (1999).

Green, C.

M. Giudici, L. Giuggioli, C. Green, and J. R. Tredicce, “Dynamical behavior of semiconductor lasers with frequency selective optical feedback,” Chaos, Solitons & Fractals 10, 811–818 (1999).

M. Giudici, C. Green, G. Nespolo, U. Giacomelli, and J. R. Tredicce, “Andronov bifurcation and excitability in semiconductor lasers with optical feedback,” Phys. Rev. E 55, 6414–6118 (1997).
[CrossRef]

Grigorieva, E. V.

M. Bestehorn, E. V. Grigorieva, H. Haken, and S. A. Kaschenko, “Order parameters for class-B lasers with a long time delayed feedback,” Physica D 145, 110–129 (2000).
[CrossRef]

E. V. Grigorieva, H. Haken, and S. A. Kaschenko, “Theory of quasiperiodicity in model of lasers with delayed optoelectronic feedback,” Opt. Commun. 165, 279–292 (1999).
[CrossRef]

Haken, H.

M. Bestehorn, E. V. Grigorieva, H. Haken, and S. A. Kaschenko, “Order parameters for class-B lasers with a long time delayed feedback,” Physica D 145, 110–129 (2000).
[CrossRef]

E. V. Grigorieva, H. Haken, and S. A. Kaschenko, “Theory of quasiperiodicity in model of lasers with delayed optoelectronic feedback,” Opt. Commun. 165, 279–292 (1999).
[CrossRef]

Hall, J. L.

D. J. Jones, S. A. Diddams, J. K. Ranka, A. Stentz, R. S. Windeler, J. L. Hall, and S. T. Cundiff, “Carrier-Envelope Phase Control of Femtosecond Mode-Locked Lasers and Direct Optical Frequency Synthesis,” Science 288, 635–639 (2000).
[CrossRef] [PubMed]

Hánsch, T. W.

T. Udem, R. Holzwarth, and T. W. Hánsch, “Optical frequency metrology,” Nature 416, 233–247 (2002).
[CrossRef] [PubMed]

Hänsch, T. W.

J. Reichert, R. Holzwarth, T. Udem, and T. W. Hänsch, “Measuring the frequency of light with mode-locked lasers,” Opt. Commun. 172, 59–68 (1999).
[CrossRef]

Harrison, R. G.

A. Gavrielides, T. C. Newell, V. Kovanis, R. G. Harrison, N. Swanston, D. Yu, and W. Lu, “Synchronous Sisyphus effect in diode lasers subject to optical feedback,” Phys. Rev. A 60, 1577–1580 (1999).
[CrossRef]

Heil, T.

T. Heil, I. Fischer, W. Elsäßer, and A. Gavrielides, “Dynamics of Semiconductor Lasers Subject to Delayed Optical Feedback: The Short Cavity Regime,” Phys. Rev. Lett. 87(24), 243,901 (2001).

Hendriks, R. F. M.

M. P. v. Exter, R. F. M. Hendriks, J. P. Woerdman, and C. J. v. Poel, “Explanation of double-peaked intensity noise spectrum of an external-cavity semiconductor laser,” Opt. Commun. 110, 137–140 (1994).
[CrossRef]

Holzwarth, R.

T. Udem, R. Holzwarth, and T. W. Hánsch, “Optical frequency metrology,” Nature 416, 233–247 (2002).
[CrossRef] [PubMed]

J. Reichert, R. Holzwarth, T. Udem, and T. W. Hänsch, “Measuring the frequency of light with mode-locked lasers,” Opt. Commun. 172, 59–68 (1999).
[CrossRef]

Jones, D. J.

D. J. Jones, S. A. Diddams, J. K. Ranka, A. Stentz, R. S. Windeler, J. L. Hall, and S. T. Cundiff, “Carrier-Envelope Phase Control of Femtosecond Mode-Locked Lasers and Direct Optical Frequency Synthesis,” Science 288, 635–639 (2000).
[CrossRef] [PubMed]

Kaschenko, S. A.

M. Bestehorn, E. V. Grigorieva, H. Haken, and S. A. Kaschenko, “Order parameters for class-B lasers with a long time delayed feedback,” Physica D 145, 110–129 (2000).
[CrossRef]

E. V. Grigorieva, H. Haken, and S. A. Kaschenko, “Theory of quasiperiodicity in model of lasers with delayed optoelectronic feedback,” Opt. Commun. 165, 279–292 (1999).
[CrossRef]

Kovanis, V.

A. Gavrielides, T. C. Newell, V. Kovanis, R. G. Harrison, N. Swanston, D. Yu, and W. Lu, “Synchronous Sisyphus effect in diode lasers subject to optical feedback,” Phys. Rev. A 60, 1577–1580 (1999).
[CrossRef]

Lapucci, A.

F. T. Arecchi, G. Giacomelli, A. Lapucci, and R. Meucci, “Two-dimensional representation of a delayed dynamical system,” Phys. Rev. A 45, 4225–4228 (1992).
[CrossRef] [PubMed]

Lenstra, D.

G. H. M. v. Tartwijk and D. Lenstra, “Semiconductor lasers with optical injection and feedback,” J. Opt. B: Quantum Semiclass. Opt. 7, 87–143 (1995).
[CrossRef]

G. H. M. v. Tartwijk, A. M. Levine, and D. Lenstra, “Sisyphus effect in semiconductor lasers with optical feedback,” IEEE J. Selec. Top. Quantum Electron. 1, 466–472 (1995).
[CrossRef]

Levine, A. M.

G. H. M. v. Tartwijk, A. M. Levine, and D. Lenstra, “Sisyphus effect in semiconductor lasers with optical feedback,” IEEE J. Selec. Top. Quantum Electron. 1, 466–472 (1995).
[CrossRef]

Leyva, I.

I. Leyva, E. Allaria, and R. Meucci, “Transient polarization dynamics in a CO2 laser,” Opt. Commun. 217, 335–342 (2003).
[CrossRef]

Liu, Y.

A. Uchida, Y. Liu, I. Fischer, P. Davis, and T. Aida, “Chaotic antiphase dynamics and synchronization in multi-mode semiconductor lasers,” Phys. Rev. A 64, 023,801 (2001).
[CrossRef]

Loiko, N. A.

A. V. Naumenko, N. A. Loiko, M. Sondermann, and T. Ackemann, “Description and analysis of low frequency fluctuations in vertical-cavity surface-emitting lasers with isotropic optical feedback by a distant reflector,” Phys. Rev. A 68, 033,805 (2003).
[CrossRef]

T. Ackemann, M. Sondermann, A. V. Naumenko, and N. A. Loiko, “Polarization dynamics and low-frequency fluctuations in vertical-cavity surface-emitting lasers subjected to optical feedback,” Appl. Phys. B 77, 739–746 (2003).
[CrossRef]

N. A. Loiko and A. M. Samson, “Possible regimes of generation of a semiconductor laser with a delayed opto-electric feedback,” Opt. Commun. 93, 66–72 (1992).
[CrossRef]

Lu, W.

A. Gavrielides, T. C. Newell, V. Kovanis, R. G. Harrison, N. Swanston, D. Yu, and W. Lu, “Synchronous Sisyphus effect in diode lasers subject to optical feedback,” Phys. Rev. A 60, 1577–1580 (1999).
[CrossRef]

Marin, F.

G. Giacomelli, F. Marin, and M. Romanelli, “Multi-time-scale dynamics of a laser with polarized optical feedback,” Phys. Rev. A 67, 053,809 (2003).
[CrossRef]

Mark, J.

J. Mørk, B. Tromborg, and J. Mark, “Chaos in Semiconductor Lasers with Optical Feedback: Theory and Experiment,” IEEE J. Quantum Electron. 28(1), 93–108 (1992).
[CrossRef]

Megret, P.

M. Sciamanna, K. Panajotov, H. Thienpont, I. Veretennicoff, P. Megret, and M. Blondel, “Optical Feedback induces polarization mode hopping in vertical-cavity surface-emitting lasers,” Opt. Lett. 28(17), 1543–1545 (2003).
[CrossRef]

Meucci, R.

I. Leyva, E. Allaria, and R. Meucci, “Transient polarization dynamics in a CO2 laser,” Opt. Commun. 217, 335–342 (2003).
[CrossRef]

F. T. Arecchi, G. Giacomelli, A. Lapucci, and R. Meucci, “Two-dimensional representation of a delayed dynamical system,” Phys. Rev. A 45, 4225–4228 (1992).
[CrossRef] [PubMed]

Mørk, J.

J. Mørk, B. Tromborg, and J. Mark, “Chaos in Semiconductor Lasers with Optical Feedback: Theory and Experiment,” IEEE J. Quantum Electron. 28(1), 93–108 (1992).
[CrossRef]

Mulet, J.

M. Sondermann, M. Weinkath, T. Ackemann, J. Mulet, and S. Balle, “Two-frequency emission and polarization dynamics at lasing threshold in vertical-cavity surface-emitting lasers,” Phys. Rev. A 68, 033,822 (2003).
[CrossRef]

Naumenko, A. V.

T. Ackemann, M. Sondermann, A. V. Naumenko, and N. A. Loiko, “Polarization dynamics and low-frequency fluctuations in vertical-cavity surface-emitting lasers subjected to optical feedback,” Appl. Phys. B 77, 739–746 (2003).
[CrossRef]

A. V. Naumenko, N. A. Loiko, M. Sondermann, and T. Ackemann, “Description and analysis of low frequency fluctuations in vertical-cavity surface-emitting lasers with isotropic optical feedback by a distant reflector,” Phys. Rev. A 68, 033,805 (2003).
[CrossRef]

Nespolo, G.

M. Giudici, C. Green, G. Nespolo, U. Giacomelli, and J. R. Tredicce, “Andronov bifurcation and excitability in semiconductor lasers with optical feedback,” Phys. Rev. E 55, 6414–6118 (1997).
[CrossRef]

Newell, T. C.

A. Gavrielides, T. C. Newell, V. Kovanis, R. G. Harrison, N. Swanston, D. Yu, and W. Lu, “Synchronous Sisyphus effect in diode lasers subject to optical feedback,” Phys. Rev. A 60, 1577–1580 (1999).
[CrossRef]

Panajotov, K.

M. Sciamanna, K. Panajotov, H. Thienpont, I. Veretennicoff, P. Megret, and M. Blondel, “Optical Feedback induces polarization mode hopping in vertical-cavity surface-emitting lasers,” Opt. Lett. 28(17), 1543–1545 (2003).
[CrossRef]

Petermann, K.

K. Petermann, “External optical feedback phenomena in semiconductor lasers,” IEEE J. Selec. Top. Quantum Electron. 1, 480–489 (1995).
[CrossRef]

Poel, C. J. v.

M. P. v. Exter, R. F. M. Hendriks, J. P. Woerdman, and C. J. v. Poel, “Explanation of double-peaked intensity noise spectrum of an external-cavity semiconductor laser,” Opt. Commun. 110, 137–140 (1994).
[CrossRef]

Politi, A.

G. Giacomelli and A. Politi, “Multiple scale analysis of delayed dynamical systems,” Physica D 145, 26–42 (1998).
[CrossRef]

Press, W. H.

W. H. Press, B. Flannery, S. Teukolsky, and W. Vettering, Numerical recipes: the art of scientific computing (Cambridge University Press, Cambridge, 1992).

Ranka, J. K.

D. J. Jones, S. A. Diddams, J. K. Ranka, A. Stentz, R. S. Windeler, J. L. Hall, and S. T. Cundiff, “Carrier-Envelope Phase Control of Femtosecond Mode-Locked Lasers and Direct Optical Frequency Synthesis,” Science 288, 635–639 (2000).
[CrossRef] [PubMed]

Reichert, J.

J. Reichert, R. Holzwarth, T. Udem, and T. W. Hänsch, “Measuring the frequency of light with mode-locked lasers,” Opt. Commun. 172, 59–68 (1999).
[CrossRef]

Robert, F.

F. Robert, P. Besnard, M. L. Chares, and G. M. Stephan, “Polarization modulation dynamics of vertical-cavity surface-emitting lasers with an extended cavity,” IEEE J. Quantum Electron. 33, 2231–2238 (1997).
[CrossRef]

Romanelli, M.

G. Giacomelli, F. Marin, and M. Romanelli, “Multi-time-scale dynamics of a laser with polarized optical feedback,” Phys. Rev. A 67, 053,809 (2003).
[CrossRef]

Samson, A. M.

N. A. Loiko and A. M. Samson, “Possible regimes of generation of a semiconductor laser with a delayed opto-electric feedback,” Opt. Commun. 93, 66–72 (1992).
[CrossRef]

San Miguel, M.

M. San Miguel, “Polarization properties of vertical cavity surface emitting lasers,” in Semiconductor quantum optoelectronics: From quantum physics to smart devices, A. Miller, M. Ebrahimzadeh, and D. M. Finlayson, eds., pp. 339–366 (SUSSP and Institute of Physics Publishing, Bristol, 1999).

Sciamanna, M.

M. Sciamanna, K. Panajotov, H. Thienpont, I. Veretennicoff, P. Megret, and M. Blondel, “Optical Feedback induces polarization mode hopping in vertical-cavity surface-emitting lasers,” Opt. Lett. 28(17), 1543–1545 (2003).
[CrossRef]

Sondermann, M.

M. Sondermann, H. Bohnet, and T. Ackemann, “Low Frequency Fluctuations and Polarization Dynamics in Vertical-cavity Surface-emitting Lasers with Isotropic Feedback,” Phys. Rev. A 67, 021,802 (2003).
[CrossRef]

A. V. Naumenko, N. A. Loiko, M. Sondermann, and T. Ackemann, “Description and analysis of low frequency fluctuations in vertical-cavity surface-emitting lasers with isotropic optical feedback by a distant reflector,” Phys. Rev. A 68, 033,805 (2003).
[CrossRef]

T. Ackemann, M. Sondermann, A. V. Naumenko, and N. A. Loiko, “Polarization dynamics and low-frequency fluctuations in vertical-cavity surface-emitting lasers subjected to optical feedback,” Appl. Phys. B 77, 739–746 (2003).
[CrossRef]

M. Sondermann, M. Weinkath, T. Ackemann, J. Mulet, and S. Balle, “Two-frequency emission and polarization dynamics at lasing threshold in vertical-cavity surface-emitting lasers,” Phys. Rev. A 68, 033,822 (2003).
[CrossRef]

Stentz, A.

D. J. Jones, S. A. Diddams, J. K. Ranka, A. Stentz, R. S. Windeler, J. L. Hall, and S. T. Cundiff, “Carrier-Envelope Phase Control of Femtosecond Mode-Locked Lasers and Direct Optical Frequency Synthesis,” Science 288, 635–639 (2000).
[CrossRef] [PubMed]

Stephan, G. M.

F. Robert, P. Besnard, M. L. Chares, and G. M. Stephan, “Polarization modulation dynamics of vertical-cavity surface-emitting lasers with an extended cavity,” IEEE J. Quantum Electron. 33, 2231–2238 (1997).
[CrossRef]

Swanston, N.

A. Gavrielides, T. C. Newell, V. Kovanis, R. G. Harrison, N. Swanston, D. Yu, and W. Lu, “Synchronous Sisyphus effect in diode lasers subject to optical feedback,” Phys. Rev. A 60, 1577–1580 (1999).
[CrossRef]

Tartwijk, G. H. M. v.

G. H. M. v. Tartwijk and D. Lenstra, “Semiconductor lasers with optical injection and feedback,” J. Opt. B: Quantum Semiclass. Opt. 7, 87–143 (1995).
[CrossRef]

G. H. M. v. Tartwijk, A. M. Levine, and D. Lenstra, “Sisyphus effect in semiconductor lasers with optical feedback,” IEEE J. Selec. Top. Quantum Electron. 1, 466–472 (1995).
[CrossRef]

Teukolsky, S.

W. H. Press, B. Flannery, S. Teukolsky, and W. Vettering, Numerical recipes: the art of scientific computing (Cambridge University Press, Cambridge, 1992).

Thienpont, H.

M. Sciamanna, K. Panajotov, H. Thienpont, I. Veretennicoff, P. Megret, and M. Blondel, “Optical Feedback induces polarization mode hopping in vertical-cavity surface-emitting lasers,” Opt. Lett. 28(17), 1543–1545 (2003).
[CrossRef]

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, 3298–3301 (2000).
[CrossRef] [PubMed]

M. Giudici, L. Giuggioli, C. Green, and J. R. Tredicce, “Dynamical behavior of semiconductor lasers with frequency selective optical feedback,” Chaos, Solitons & Fractals 10, 811–818 (1999).

M. Giudici, S. Balle, T. Ackemann, S. Barland, and J. R. Tredicce, “Effects of Optical Feedback on Vertical-Cavity Surface-Emitting Lasers: Experiment and Model,” J. Opt. Soc. Am. B 16, 2114–2123 (1999).
[CrossRef]

M. Giudici, C. Green, G. Nespolo, U. Giacomelli, and J. R. Tredicce, “Andronov bifurcation and excitability in semiconductor lasers with optical feedback,” Phys. Rev. E 55, 6414–6118 (1997).
[CrossRef]

Tromborg, B.

J. Mørk, B. Tromborg, and J. Mark, “Chaos in Semiconductor Lasers with Optical Feedback: Theory and Experiment,” IEEE J. Quantum Electron. 28(1), 93–108 (1992).
[CrossRef]

Uchida, A.

A. Uchida, Y. Liu, I. Fischer, P. Davis, and T. Aida, “Chaotic antiphase dynamics and synchronization in multi-mode semiconductor lasers,” Phys. Rev. A 64, 023,801 (2001).
[CrossRef]

Udem, T.

T. Udem, R. Holzwarth, and T. W. Hánsch, “Optical frequency metrology,” Nature 416, 233–247 (2002).
[CrossRef] [PubMed]

J. Reichert, R. Holzwarth, T. Udem, and T. W. Hänsch, “Measuring the frequency of light with mode-locked lasers,” Opt. Commun. 172, 59–68 (1999).
[CrossRef]

Verbeek, B. H.

J. S. Cohen, R. R. Drenten, and B. H. Verbeek, “The Effect of Optical Feedback on the Relaxation Oscillation in Semiconductor Lasers,” IEEE J. Quantum Electron. 24(10), 1989–1995 (1988).
[CrossRef]

Veretennicoff, I.

M. Sciamanna, K. Panajotov, H. Thienpont, I. Veretennicoff, P. Megret, and M. Blondel, “Optical Feedback induces polarization mode hopping in vertical-cavity surface-emitting lasers,” Opt. Lett. 28(17), 1543–1545 (2003).
[CrossRef]

Vettering, W.

W. H. Press, B. Flannery, S. Teukolsky, and W. Vettering, Numerical recipes: the art of scientific computing (Cambridge University Press, Cambridge, 1992).

Weinkath, M.

M. Sondermann, M. Weinkath, T. Ackemann, J. Mulet, and S. Balle, “Two-frequency emission and polarization dynamics at lasing threshold in vertical-cavity surface-emitting lasers,” Phys. Rev. A 68, 033,822 (2003).
[CrossRef]

Windeler, R. S.

D. J. Jones, S. A. Diddams, J. K. Ranka, A. Stentz, R. S. Windeler, J. L. Hall, and S. T. Cundiff, “Carrier-Envelope Phase Control of Femtosecond Mode-Locked Lasers and Direct Optical Frequency Synthesis,” Science 288, 635–639 (2000).
[CrossRef] [PubMed]

Woerdman, J. P.

M. P. v. Exter, R. F. M. Hendriks, J. P. Woerdman, and C. J. v. Poel, “Explanation of double-peaked intensity noise spectrum of an external-cavity semiconductor laser,” Opt. Commun. 110, 137–140 (1994).
[CrossRef]

Yamada, M.

M. Ahmed and M. Yamada, “Influence of Instantaneous Mode Competition on the Dynamics of Semiconductor Lasers,” IEEE J. Quantum Electron. 38(6), 682–693 (2002).
[CrossRef]

Yu, D.

A. Gavrielides, T. C. Newell, V. Kovanis, R. G. Harrison, N. Swanston, D. Yu, and W. Lu, “Synchronous Sisyphus effect in diode lasers subject to optical feedback,” Phys. Rev. A 60, 1577–1580 (1999).
[CrossRef]

Appl. Phys. B (1)

T. Ackemann, M. Sondermann, A. V. Naumenko, and N. A. Loiko, “Polarization dynamics and low-frequency fluctuations in vertical-cavity surface-emitting lasers subjected to optical feedback,” Appl. Phys. B 77, 739–746 (2003).
[CrossRef]

Chaos, Solitons & Fractals (1)

M. Giudici, L. Giuggioli, C. Green, and J. R. Tredicce, “Dynamical behavior of semiconductor lasers with frequency selective optical feedback,” Chaos, Solitons & Fractals 10, 811–818 (1999).

IEEE J. Quantum Electron. (4)

J. Mørk, B. Tromborg, and J. Mark, “Chaos in Semiconductor Lasers with Optical Feedback: Theory and Experiment,” IEEE J. Quantum Electron. 28(1), 93–108 (1992).
[CrossRef]

M. Ahmed and M. Yamada, “Influence of Instantaneous Mode Competition on the Dynamics of Semiconductor Lasers,” IEEE J. Quantum Electron. 38(6), 682–693 (2002).
[CrossRef]

F. Robert, P. Besnard, M. L. Chares, and G. M. Stephan, “Polarization modulation dynamics of vertical-cavity surface-emitting lasers with an extended cavity,” IEEE J. Quantum Electron. 33, 2231–2238 (1997).
[CrossRef]

J. S. Cohen, R. R. Drenten, and B. H. Verbeek, “The Effect of Optical Feedback on the Relaxation Oscillation in Semiconductor Lasers,” IEEE J. Quantum Electron. 24(10), 1989–1995 (1988).
[CrossRef]

IEEE J. Selec. Top. Quantum Electron. (2)

G. H. M. v. Tartwijk, A. M. Levine, and D. Lenstra, “Sisyphus effect in semiconductor lasers with optical feedback,” IEEE J. Selec. Top. Quantum Electron. 1, 466–472 (1995).
[CrossRef]

K. Petermann, “External optical feedback phenomena in semiconductor lasers,” IEEE J. Selec. Top. Quantum Electron. 1, 480–489 (1995).
[CrossRef]

J. Opt. B: Quantum Semiclass. Opt. (1)

G. H. M. v. Tartwijk and D. Lenstra, “Semiconductor lasers with optical injection and feedback,” J. Opt. B: Quantum Semiclass. Opt. 7, 87–143 (1995).
[CrossRef]

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

Nature (1)

T. Udem, R. Holzwarth, and T. W. Hánsch, “Optical frequency metrology,” Nature 416, 233–247 (2002).
[CrossRef] [PubMed]

Opt. Commun. (5)

E. V. Grigorieva, H. Haken, and S. A. Kaschenko, “Theory of quasiperiodicity in model of lasers with delayed optoelectronic feedback,” Opt. Commun. 165, 279–292 (1999).
[CrossRef]

N. A. Loiko and A. M. Samson, “Possible regimes of generation of a semiconductor laser with a delayed opto-electric feedback,” Opt. Commun. 93, 66–72 (1992).
[CrossRef]

M. P. v. Exter, R. F. M. Hendriks, J. P. Woerdman, and C. J. v. Poel, “Explanation of double-peaked intensity noise spectrum of an external-cavity semiconductor laser,” Opt. Commun. 110, 137–140 (1994).
[CrossRef]

J. Reichert, R. Holzwarth, T. Udem, and T. W. Hänsch, “Measuring the frequency of light with mode-locked lasers,” Opt. Commun. 172, 59–68 (1999).
[CrossRef]

I. Leyva, E. Allaria, and R. Meucci, “Transient polarization dynamics in a CO2 laser,” Opt. Commun. 217, 335–342 (2003).
[CrossRef]

Opt. Lett. (1)

M. Sciamanna, K. Panajotov, H. Thienpont, I. Veretennicoff, P. Megret, and M. Blondel, “Optical Feedback induces polarization mode hopping in vertical-cavity surface-emitting lasers,” Opt. Lett. 28(17), 1543–1545 (2003).
[CrossRef]

Phys. Rev. A (7)

M. Sondermann, H. Bohnet, and T. Ackemann, “Low Frequency Fluctuations and Polarization Dynamics in Vertical-cavity Surface-emitting Lasers with Isotropic Feedback,” Phys. Rev. A 67, 021,802 (2003).
[CrossRef]

G. Giacomelli, F. Marin, and M. Romanelli, “Multi-time-scale dynamics of a laser with polarized optical feedback,” Phys. Rev. A 67, 053,809 (2003).
[CrossRef]

A. V. Naumenko, N. A. Loiko, M. Sondermann, and T. Ackemann, “Description and analysis of low frequency fluctuations in vertical-cavity surface-emitting lasers with isotropic optical feedback by a distant reflector,” Phys. Rev. A 68, 033,805 (2003).
[CrossRef]

F. T. Arecchi, G. Giacomelli, A. Lapucci, and R. Meucci, “Two-dimensional representation of a delayed dynamical system,” Phys. Rev. A 45, 4225–4228 (1992).
[CrossRef] [PubMed]

M. Sondermann, M. Weinkath, T. Ackemann, J. Mulet, and S. Balle, “Two-frequency emission and polarization dynamics at lasing threshold in vertical-cavity surface-emitting lasers,” Phys. Rev. A 68, 033,822 (2003).
[CrossRef]

A. Uchida, Y. Liu, I. Fischer, P. Davis, and T. Aida, “Chaotic antiphase dynamics and synchronization in multi-mode semiconductor lasers,” Phys. Rev. A 64, 023,801 (2001).
[CrossRef]

A. Gavrielides, T. C. Newell, V. Kovanis, R. G. Harrison, N. Swanston, D. Yu, and W. Lu, “Synchronous Sisyphus effect in diode lasers subject to optical feedback,” Phys. Rev. A 60, 1577–1580 (1999).
[CrossRef]

Phys. Rev. E (1)

M. Giudici, C. Green, G. Nespolo, U. Giacomelli, and J. R. Tredicce, “Andronov bifurcation and excitability in semiconductor lasers with optical feedback,” Phys. Rev. E 55, 6414–6118 (1997).
[CrossRef]

Phys. Rev. Lett. (2)

T. Heil, I. Fischer, W. Elsäßer, and A. Gavrielides, “Dynamics of Semiconductor Lasers Subject to Delayed Optical Feedback: The Short Cavity Regime,” Phys. Rev. Lett. 87(24), 243,901 (2001).

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

Physica D (2)

G. Giacomelli and A. Politi, “Multiple scale analysis of delayed dynamical systems,” Physica D 145, 26–42 (1998).
[CrossRef]

M. Bestehorn, E. V. Grigorieva, H. Haken, and S. A. Kaschenko, “Order parameters for class-B lasers with a long time delayed feedback,” Physica D 145, 110–129 (2000).
[CrossRef]

Science (1)

D. J. Jones, S. A. Diddams, J. K. Ranka, A. Stentz, R. S. Windeler, J. L. Hall, and S. T. Cundiff, “Carrier-Envelope Phase Control of Femtosecond Mode-Locked Lasers and Direct Optical Frequency Synthesis,” Science 288, 635–639 (2000).
[CrossRef] [PubMed]

Other (4)

B. Krauskopf and D. Lenstra, eds., Fundamental issues of nonlinear laser dynamics, vol. 548 of AIP Conference Proceedings (American Institute of Physics, Melville, 2000).

M. San Miguel, “Polarization properties of vertical cavity surface emitting lasers,” in Semiconductor quantum optoelectronics: From quantum physics to smart devices, A. Miller, M. Ebrahimzadeh, and D. M. Finlayson, eds., pp. 339–366 (SUSSP and Institute of Physics Publishing, Bristol, 1999).

W. H. Press, B. Flannery, S. Teukolsky, and W. Vettering, Numerical recipes: the art of scientific computing (Cambridge University Press, Cambridge, 1992).

L. A. Coldren and S. W. Corzine, Diode Lasers and Photonic Integrated Circuits (Wiley, New York, 1995).

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Figures (4)

Fig. 1.
Fig. 1.

Characterization of the dynamics of a VCSEL with isotropic optical feedback: (a) measured time traces, (b) auto correlation functions, (c) cross correlation function, (d) power spectra of the polarization modes, (e) cross spectral density (CSD). In panels displaying data for both polarization modes, the red and blue lines denote the data corresponding to the two orthogonal polarization modes. The injection current is set to the threshold of the solitary laser. The threshold reduction with feedback is 6%. The detection bandwidth is 1 GHz.

Fig. 2.
Fig. 2.

Cross correlation function for the same parameters as in Fig. 1(c) but after elimination of the correlated (green line) and anticorrelated (red line) frequency components from the cross spectral density (see text for further explanations). The red line is raised by 0.2 units for better visibility.

Fig. 3.
Fig. 3.

Power spectrum of the dominant polarization mode and cross spectral density (CSD) of the dynamics of the both polarization modes for another device with a threshold reduction of 18% for injection currents 4% below (a,b) and 32% above (c,d) the threshold of the solitary laser, respectively. Red (blue) colour denotes anticorrelated (correlated) components. The inset in panel (d) is a magnification of the spectral components for frequencies larger than 2 GHz. The detection bandwidth is 6 GHz. The corresponding time series are amplified by 20 dB and the DC-component is cut off. The features near 1.7 GHz and 3.4 GHz in panel (b) are artefacts that are captured by the setup.

Fig. 4.
Fig. 4.

Auto correlation function (a) and power spectrum (b) of the dominant polarization mode of another device with isotropic feedback. The inset in (b) displays the frequencies (in GHz) of the spectral components at the first harmonic of the external cavity frequency as a function of the injection current normalized to the threshold of the solitary laser. The threshold reduction is 8%. The current is set to 0.95 times the threshold of the laser without feedback. The detection bandwidth is 1 GHz.

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