Abstract

Semiconductor ring lasers display a variety of dynamical regimes originating from the nonlinear competition between the clockwise and counter-clockwise propagating modes. In particular, for large pumping the system has a bistable regime in which two stationary quasi-unidirectional counter-propagating modes coexist. Bistability is induced by cross-gain saturation of the two counter-propagating modes being stronger than the self-saturation and can be used for data storage when the semiconductor ring laser is addressed with an optical pulse. In this work we study the response time when an optical pulse is injected in order to make the system switch from one mode to the counter-propagating one. We also determine the optimal pulse energy to induce switching.

© 2007 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. C. O. Weiss and R. Vilaseca, "Dynamics of lasers," Weinheim, New York (1991), and refs therein.
  2. Q. L. Williams, and R. Roy, "Fast polarization dynamics of an erbium-doped fiber ring laser," Opt. Lett,  21, 1478 (1996).
    [CrossRef] [PubMed]
  3. H. Nakatsuka, S. Asaka, H. Itoh, K. Ikeda, and M. Matsuoka, "Observation of bifurcation to chaos in an all-optical bistable system, " Phys. Rev. Lett,  50, 109 (1983)
    [CrossRef]
  4. E. J. D’Angelo, E. Izaguirre, G. B. Mindlin, L. Gil, and J. R. Tredicce, "Spatiotemporal dynamics of lasers in the presence of an imperfect O(2) symmetry," Phys. Rev. Lett,  68, 3702 (1992).
    [CrossRef] [PubMed]
  5. W. W. Chow, J. Gea-Banacloche, L. M. Pedrotti, V. E. Sanders, W. Schleich and M. O. Scully, "The ring laser gyro," Rev. Mod. Phys. 5761 (1985).
    [CrossRef]
  6. T. Krauss, P. J. R. Laybourn and J. S. Roberts, "CW operation of semiconductor ring lasers," Electron. Lett. 26, 2095 (1990).
    [CrossRef]
  7. M. Sorel, J. P. R. Laybourn, A. Scirè, S. Balle, G. Giuliani, R. Miglierina,S. Donati, "Alternate oscillations in semiconductor ring lasers," Opt. Lett. 27, 1992 (2002).
    [CrossRef]
  8. M. Sorel, G. Giuliani,A. Scirè, R. Miglierina, J. P. R. Laybourn, S. Donati, "Operating regimes of GaAs-AlGaAs semiconductor ring lasers: experiment and model," IEEE J. Quantum Electron. 39, 1187 (2003).
    [CrossRef]
  9. J. J. Liang, S. T. Lau, M. H. Leary and J. M. Ballantyne, "Unidirectional operation of waveguide diode ring lasers," Applied Phys. Lett. 70, 1192 (1997).
    [CrossRef]
  10. S. Zhang, Y. Liu, D. Lenstra, M.T. Hill, H. Ju, G.D. Khoe, H.J.S. Dorre, "Ring-laser optical flip-flop memory with single active element," J. Sel. Top. Q. Electron. 10, 1093 (2004).
    [CrossRef]
  11. V. R. Almeida, C. A. Barrios, R. P. Panepucci, M. Lipson, M. A. Foster, D. G. Ouzounov, A. L. Gaeta, "All-optical switching on a silicon chip," Opt. Lett. 29, 2867 (2004).
    [CrossRef]
  12. V. R. Almeida and M. Lipson, "Optical bistability on a silicon chip," Opt. Lett. 29, 2387 (2004).
    [CrossRef] [PubMed]
  13. M. T. Hill, H. J. S. Dorren, T. de Vries, X. J. M. Leijtens, J. H. den Besten, B. Smalbrugge,Y. S Oei, H. Binsma, G. D. Khoe, M. K. Smit, "A fast low-power optical memory based on coupled micro-ring lasers," Nature 432, 206 (2004).
    [CrossRef] [PubMed]
  14. G. H. M. van Tartwijk, D. Lenstra, "Semiconductor lasers with optical injection and feedback," Quantum Semiclass. Opt. 7, 87 (1995).
    [CrossRef]
  15. V. Annovazzi-Lodi, A. Scirè, M. Sorel, S. Donati, "Dynamic behavior and locking of a semiconductor laser subjected to external injection," IEEE J. Quantum Electron. 34, 2350 (1998).
    [CrossRef]
  16. M. San Miguel, R. Toral, "Stochastic Effects in Physical Systems," Instabilities and Nonequilibrium Structures V, edited by Tirapegui E., Martinez J., and Tiermann R., Netherlands: Kluwer Academic Publishers, (1999).

2004 (4)

S. Zhang, Y. Liu, D. Lenstra, M.T. Hill, H. Ju, G.D. Khoe, H.J.S. Dorre, "Ring-laser optical flip-flop memory with single active element," J. Sel. Top. Q. Electron. 10, 1093 (2004).
[CrossRef]

V. R. Almeida, C. A. Barrios, R. P. Panepucci, M. Lipson, M. A. Foster, D. G. Ouzounov, A. L. Gaeta, "All-optical switching on a silicon chip," Opt. Lett. 29, 2867 (2004).
[CrossRef]

V. R. Almeida and M. Lipson, "Optical bistability on a silicon chip," Opt. Lett. 29, 2387 (2004).
[CrossRef] [PubMed]

M. T. Hill, H. J. S. Dorren, T. de Vries, X. J. M. Leijtens, J. H. den Besten, B. Smalbrugge,Y. S Oei, H. Binsma, G. D. Khoe, M. K. Smit, "A fast low-power optical memory based on coupled micro-ring lasers," Nature 432, 206 (2004).
[CrossRef] [PubMed]

2003 (1)

M. Sorel, G. Giuliani,A. Scirè, R. Miglierina, J. P. R. Laybourn, S. Donati, "Operating regimes of GaAs-AlGaAs semiconductor ring lasers: experiment and model," IEEE J. Quantum Electron. 39, 1187 (2003).
[CrossRef]

2002 (1)

1998 (1)

V. Annovazzi-Lodi, A. Scirè, M. Sorel, S. Donati, "Dynamic behavior and locking of a semiconductor laser subjected to external injection," IEEE J. Quantum Electron. 34, 2350 (1998).
[CrossRef]

1997 (1)

J. J. Liang, S. T. Lau, M. H. Leary and J. M. Ballantyne, "Unidirectional operation of waveguide diode ring lasers," Applied Phys. Lett. 70, 1192 (1997).
[CrossRef]

1996 (1)

Q. L. Williams, and R. Roy, "Fast polarization dynamics of an erbium-doped fiber ring laser," Opt. Lett,  21, 1478 (1996).
[CrossRef] [PubMed]

1995 (1)

G. H. M. van Tartwijk, D. Lenstra, "Semiconductor lasers with optical injection and feedback," Quantum Semiclass. Opt. 7, 87 (1995).
[CrossRef]

1992 (1)

E. J. D’Angelo, E. Izaguirre, G. B. Mindlin, L. Gil, and J. R. Tredicce, "Spatiotemporal dynamics of lasers in the presence of an imperfect O(2) symmetry," Phys. Rev. Lett,  68, 3702 (1992).
[CrossRef] [PubMed]

1990 (1)

T. Krauss, P. J. R. Laybourn and J. S. Roberts, "CW operation of semiconductor ring lasers," Electron. Lett. 26, 2095 (1990).
[CrossRef]

1985 (1)

W. W. Chow, J. Gea-Banacloche, L. M. Pedrotti, V. E. Sanders, W. Schleich and M. O. Scully, "The ring laser gyro," Rev. Mod. Phys. 5761 (1985).
[CrossRef]

1983 (1)

H. Nakatsuka, S. Asaka, H. Itoh, K. Ikeda, and M. Matsuoka, "Observation of bifurcation to chaos in an all-optical bistable system, " Phys. Rev. Lett,  50, 109 (1983)
[CrossRef]

Almeida, V. R.

Annovazzi-Lodi, V.

V. Annovazzi-Lodi, A. Scirè, M. Sorel, S. Donati, "Dynamic behavior and locking of a semiconductor laser subjected to external injection," IEEE J. Quantum Electron. 34, 2350 (1998).
[CrossRef]

Asaka, S.

H. Nakatsuka, S. Asaka, H. Itoh, K. Ikeda, and M. Matsuoka, "Observation of bifurcation to chaos in an all-optical bistable system, " Phys. Rev. Lett,  50, 109 (1983)
[CrossRef]

Ballantyne, J. M.

J. J. Liang, S. T. Lau, M. H. Leary and J. M. Ballantyne, "Unidirectional operation of waveguide diode ring lasers," Applied Phys. Lett. 70, 1192 (1997).
[CrossRef]

Balle, S.

Barrios, C. A.

Binsma, H.

M. T. Hill, H. J. S. Dorren, T. de Vries, X. J. M. Leijtens, J. H. den Besten, B. Smalbrugge,Y. S Oei, H. Binsma, G. D. Khoe, M. K. Smit, "A fast low-power optical memory based on coupled micro-ring lasers," Nature 432, 206 (2004).
[CrossRef] [PubMed]

Chow, W. W.

W. W. Chow, J. Gea-Banacloche, L. M. Pedrotti, V. E. Sanders, W. Schleich and M. O. Scully, "The ring laser gyro," Rev. Mod. Phys. 5761 (1985).
[CrossRef]

D’Angelo, E. J.

E. J. D’Angelo, E. Izaguirre, G. B. Mindlin, L. Gil, and J. R. Tredicce, "Spatiotemporal dynamics of lasers in the presence of an imperfect O(2) symmetry," Phys. Rev. Lett,  68, 3702 (1992).
[CrossRef] [PubMed]

de Vries, T.

M. T. Hill, H. J. S. Dorren, T. de Vries, X. J. M. Leijtens, J. H. den Besten, B. Smalbrugge,Y. S Oei, H. Binsma, G. D. Khoe, M. K. Smit, "A fast low-power optical memory based on coupled micro-ring lasers," Nature 432, 206 (2004).
[CrossRef] [PubMed]

den Besten, J. H.

M. T. Hill, H. J. S. Dorren, T. de Vries, X. J. M. Leijtens, J. H. den Besten, B. Smalbrugge,Y. S Oei, H. Binsma, G. D. Khoe, M. K. Smit, "A fast low-power optical memory based on coupled micro-ring lasers," Nature 432, 206 (2004).
[CrossRef] [PubMed]

Donati, S.

M. Sorel, G. Giuliani,A. Scirè, R. Miglierina, J. P. R. Laybourn, S. Donati, "Operating regimes of GaAs-AlGaAs semiconductor ring lasers: experiment and model," IEEE J. Quantum Electron. 39, 1187 (2003).
[CrossRef]

M. Sorel, J. P. R. Laybourn, A. Scirè, S. Balle, G. Giuliani, R. Miglierina,S. Donati, "Alternate oscillations in semiconductor ring lasers," Opt. Lett. 27, 1992 (2002).
[CrossRef]

V. Annovazzi-Lodi, A. Scirè, M. Sorel, S. Donati, "Dynamic behavior and locking of a semiconductor laser subjected to external injection," IEEE J. Quantum Electron. 34, 2350 (1998).
[CrossRef]

Dorre, H.J.S.

S. Zhang, Y. Liu, D. Lenstra, M.T. Hill, H. Ju, G.D. Khoe, H.J.S. Dorre, "Ring-laser optical flip-flop memory with single active element," J. Sel. Top. Q. Electron. 10, 1093 (2004).
[CrossRef]

Dorren, H. J. S.

M. T. Hill, H. J. S. Dorren, T. de Vries, X. J. M. Leijtens, J. H. den Besten, B. Smalbrugge,Y. S Oei, H. Binsma, G. D. Khoe, M. K. Smit, "A fast low-power optical memory based on coupled micro-ring lasers," Nature 432, 206 (2004).
[CrossRef] [PubMed]

Foster, M. A.

Gaeta, A. L.

Gea-Banacloche, J.

W. W. Chow, J. Gea-Banacloche, L. M. Pedrotti, V. E. Sanders, W. Schleich and M. O. Scully, "The ring laser gyro," Rev. Mod. Phys. 5761 (1985).
[CrossRef]

Gil, L.

E. J. D’Angelo, E. Izaguirre, G. B. Mindlin, L. Gil, and J. R. Tredicce, "Spatiotemporal dynamics of lasers in the presence of an imperfect O(2) symmetry," Phys. Rev. Lett,  68, 3702 (1992).
[CrossRef] [PubMed]

Giuliani, G.

M. Sorel, G. Giuliani,A. Scirè, R. Miglierina, J. P. R. Laybourn, S. Donati, "Operating regimes of GaAs-AlGaAs semiconductor ring lasers: experiment and model," IEEE J. Quantum Electron. 39, 1187 (2003).
[CrossRef]

M. Sorel, J. P. R. Laybourn, A. Scirè, S. Balle, G. Giuliani, R. Miglierina,S. Donati, "Alternate oscillations in semiconductor ring lasers," Opt. Lett. 27, 1992 (2002).
[CrossRef]

Hill, M. T.

M. T. Hill, H. J. S. Dorren, T. de Vries, X. J. M. Leijtens, J. H. den Besten, B. Smalbrugge,Y. S Oei, H. Binsma, G. D. Khoe, M. K. Smit, "A fast low-power optical memory based on coupled micro-ring lasers," Nature 432, 206 (2004).
[CrossRef] [PubMed]

Hill, M.T.

S. Zhang, Y. Liu, D. Lenstra, M.T. Hill, H. Ju, G.D. Khoe, H.J.S. Dorre, "Ring-laser optical flip-flop memory with single active element," J. Sel. Top. Q. Electron. 10, 1093 (2004).
[CrossRef]

Ikeda, K.

H. Nakatsuka, S. Asaka, H. Itoh, K. Ikeda, and M. Matsuoka, "Observation of bifurcation to chaos in an all-optical bistable system, " Phys. Rev. Lett,  50, 109 (1983)
[CrossRef]

Itoh, H.

H. Nakatsuka, S. Asaka, H. Itoh, K. Ikeda, and M. Matsuoka, "Observation of bifurcation to chaos in an all-optical bistable system, " Phys. Rev. Lett,  50, 109 (1983)
[CrossRef]

Izaguirre, E.

E. J. D’Angelo, E. Izaguirre, G. B. Mindlin, L. Gil, and J. R. Tredicce, "Spatiotemporal dynamics of lasers in the presence of an imperfect O(2) symmetry," Phys. Rev. Lett,  68, 3702 (1992).
[CrossRef] [PubMed]

Ju, H.

S. Zhang, Y. Liu, D. Lenstra, M.T. Hill, H. Ju, G.D. Khoe, H.J.S. Dorre, "Ring-laser optical flip-flop memory with single active element," J. Sel. Top. Q. Electron. 10, 1093 (2004).
[CrossRef]

Khoe, G. D.

M. T. Hill, H. J. S. Dorren, T. de Vries, X. J. M. Leijtens, J. H. den Besten, B. Smalbrugge,Y. S Oei, H. Binsma, G. D. Khoe, M. K. Smit, "A fast low-power optical memory based on coupled micro-ring lasers," Nature 432, 206 (2004).
[CrossRef] [PubMed]

Khoe, G.D.

S. Zhang, Y. Liu, D. Lenstra, M.T. Hill, H. Ju, G.D. Khoe, H.J.S. Dorre, "Ring-laser optical flip-flop memory with single active element," J. Sel. Top. Q. Electron. 10, 1093 (2004).
[CrossRef]

Krauss, T.

T. Krauss, P. J. R. Laybourn and J. S. Roberts, "CW operation of semiconductor ring lasers," Electron. Lett. 26, 2095 (1990).
[CrossRef]

Lau, S. T.

J. J. Liang, S. T. Lau, M. H. Leary and J. M. Ballantyne, "Unidirectional operation of waveguide diode ring lasers," Applied Phys. Lett. 70, 1192 (1997).
[CrossRef]

Laybourn, J. P. R.

M. Sorel, G. Giuliani,A. Scirè, R. Miglierina, J. P. R. Laybourn, S. Donati, "Operating regimes of GaAs-AlGaAs semiconductor ring lasers: experiment and model," IEEE J. Quantum Electron. 39, 1187 (2003).
[CrossRef]

M. Sorel, J. P. R. Laybourn, A. Scirè, S. Balle, G. Giuliani, R. Miglierina,S. Donati, "Alternate oscillations in semiconductor ring lasers," Opt. Lett. 27, 1992 (2002).
[CrossRef]

Laybourn, P. J. R.

T. Krauss, P. J. R. Laybourn and J. S. Roberts, "CW operation of semiconductor ring lasers," Electron. Lett. 26, 2095 (1990).
[CrossRef]

Leary, M. H.

J. J. Liang, S. T. Lau, M. H. Leary and J. M. Ballantyne, "Unidirectional operation of waveguide diode ring lasers," Applied Phys. Lett. 70, 1192 (1997).
[CrossRef]

Leijtens, X. J. M.

M. T. Hill, H. J. S. Dorren, T. de Vries, X. J. M. Leijtens, J. H. den Besten, B. Smalbrugge,Y. S Oei, H. Binsma, G. D. Khoe, M. K. Smit, "A fast low-power optical memory based on coupled micro-ring lasers," Nature 432, 206 (2004).
[CrossRef] [PubMed]

Lenstra, D.

S. Zhang, Y. Liu, D. Lenstra, M.T. Hill, H. Ju, G.D. Khoe, H.J.S. Dorre, "Ring-laser optical flip-flop memory with single active element," J. Sel. Top. Q. Electron. 10, 1093 (2004).
[CrossRef]

G. H. M. van Tartwijk, D. Lenstra, "Semiconductor lasers with optical injection and feedback," Quantum Semiclass. Opt. 7, 87 (1995).
[CrossRef]

Liang, J. J.

J. J. Liang, S. T. Lau, M. H. Leary and J. M. Ballantyne, "Unidirectional operation of waveguide diode ring lasers," Applied Phys. Lett. 70, 1192 (1997).
[CrossRef]

Lipson, M.

Liu, Y.

S. Zhang, Y. Liu, D. Lenstra, M.T. Hill, H. Ju, G.D. Khoe, H.J.S. Dorre, "Ring-laser optical flip-flop memory with single active element," J. Sel. Top. Q. Electron. 10, 1093 (2004).
[CrossRef]

Matsuoka, M.

H. Nakatsuka, S. Asaka, H. Itoh, K. Ikeda, and M. Matsuoka, "Observation of bifurcation to chaos in an all-optical bistable system, " Phys. Rev. Lett,  50, 109 (1983)
[CrossRef]

Miglierina, R.

M. Sorel, G. Giuliani,A. Scirè, R. Miglierina, J. P. R. Laybourn, S. Donati, "Operating regimes of GaAs-AlGaAs semiconductor ring lasers: experiment and model," IEEE J. Quantum Electron. 39, 1187 (2003).
[CrossRef]

M. Sorel, J. P. R. Laybourn, A. Scirè, S. Balle, G. Giuliani, R. Miglierina,S. Donati, "Alternate oscillations in semiconductor ring lasers," Opt. Lett. 27, 1992 (2002).
[CrossRef]

Mindlin, G. B.

E. J. D’Angelo, E. Izaguirre, G. B. Mindlin, L. Gil, and J. R. Tredicce, "Spatiotemporal dynamics of lasers in the presence of an imperfect O(2) symmetry," Phys. Rev. Lett,  68, 3702 (1992).
[CrossRef] [PubMed]

Nakatsuka, H.

H. Nakatsuka, S. Asaka, H. Itoh, K. Ikeda, and M. Matsuoka, "Observation of bifurcation to chaos in an all-optical bistable system, " Phys. Rev. Lett,  50, 109 (1983)
[CrossRef]

Oei, Y. S

M. T. Hill, H. J. S. Dorren, T. de Vries, X. J. M. Leijtens, J. H. den Besten, B. Smalbrugge,Y. S Oei, H. Binsma, G. D. Khoe, M. K. Smit, "A fast low-power optical memory based on coupled micro-ring lasers," Nature 432, 206 (2004).
[CrossRef] [PubMed]

Ouzounov, D. G.

Panepucci, R. P.

Pedrotti, L. M.

W. W. Chow, J. Gea-Banacloche, L. M. Pedrotti, V. E. Sanders, W. Schleich and M. O. Scully, "The ring laser gyro," Rev. Mod. Phys. 5761 (1985).
[CrossRef]

Roberts, J. S.

T. Krauss, P. J. R. Laybourn and J. S. Roberts, "CW operation of semiconductor ring lasers," Electron. Lett. 26, 2095 (1990).
[CrossRef]

Roy, R.

Q. L. Williams, and R. Roy, "Fast polarization dynamics of an erbium-doped fiber ring laser," Opt. Lett,  21, 1478 (1996).
[CrossRef] [PubMed]

Sanders, V. E.

W. W. Chow, J. Gea-Banacloche, L. M. Pedrotti, V. E. Sanders, W. Schleich and M. O. Scully, "The ring laser gyro," Rev. Mod. Phys. 5761 (1985).
[CrossRef]

Schleich, W.

W. W. Chow, J. Gea-Banacloche, L. M. Pedrotti, V. E. Sanders, W. Schleich and M. O. Scully, "The ring laser gyro," Rev. Mod. Phys. 5761 (1985).
[CrossRef]

Scirè, A.

M. Sorel, G. Giuliani,A. Scirè, R. Miglierina, J. P. R. Laybourn, S. Donati, "Operating regimes of GaAs-AlGaAs semiconductor ring lasers: experiment and model," IEEE J. Quantum Electron. 39, 1187 (2003).
[CrossRef]

M. Sorel, J. P. R. Laybourn, A. Scirè, S. Balle, G. Giuliani, R. Miglierina,S. Donati, "Alternate oscillations in semiconductor ring lasers," Opt. Lett. 27, 1992 (2002).
[CrossRef]

V. Annovazzi-Lodi, A. Scirè, M. Sorel, S. Donati, "Dynamic behavior and locking of a semiconductor laser subjected to external injection," IEEE J. Quantum Electron. 34, 2350 (1998).
[CrossRef]

Scully, M. O.

W. W. Chow, J. Gea-Banacloche, L. M. Pedrotti, V. E. Sanders, W. Schleich and M. O. Scully, "The ring laser gyro," Rev. Mod. Phys. 5761 (1985).
[CrossRef]

Smalbrugge, B.

M. T. Hill, H. J. S. Dorren, T. de Vries, X. J. M. Leijtens, J. H. den Besten, B. Smalbrugge,Y. S Oei, H. Binsma, G. D. Khoe, M. K. Smit, "A fast low-power optical memory based on coupled micro-ring lasers," Nature 432, 206 (2004).
[CrossRef] [PubMed]

Smit, M. K.

M. T. Hill, H. J. S. Dorren, T. de Vries, X. J. M. Leijtens, J. H. den Besten, B. Smalbrugge,Y. S Oei, H. Binsma, G. D. Khoe, M. K. Smit, "A fast low-power optical memory based on coupled micro-ring lasers," Nature 432, 206 (2004).
[CrossRef] [PubMed]

Sorel, M.

M. Sorel, G. Giuliani,A. Scirè, R. Miglierina, J. P. R. Laybourn, S. Donati, "Operating regimes of GaAs-AlGaAs semiconductor ring lasers: experiment and model," IEEE J. Quantum Electron. 39, 1187 (2003).
[CrossRef]

M. Sorel, J. P. R. Laybourn, A. Scirè, S. Balle, G. Giuliani, R. Miglierina,S. Donati, "Alternate oscillations in semiconductor ring lasers," Opt. Lett. 27, 1992 (2002).
[CrossRef]

V. Annovazzi-Lodi, A. Scirè, M. Sorel, S. Donati, "Dynamic behavior and locking of a semiconductor laser subjected to external injection," IEEE J. Quantum Electron. 34, 2350 (1998).
[CrossRef]

Tredicce, J. R.

E. J. D’Angelo, E. Izaguirre, G. B. Mindlin, L. Gil, and J. R. Tredicce, "Spatiotemporal dynamics of lasers in the presence of an imperfect O(2) symmetry," Phys. Rev. Lett,  68, 3702 (1992).
[CrossRef] [PubMed]

van Tartwijk, G. H. M.

G. H. M. van Tartwijk, D. Lenstra, "Semiconductor lasers with optical injection and feedback," Quantum Semiclass. Opt. 7, 87 (1995).
[CrossRef]

Williams, Q. L.

Q. L. Williams, and R. Roy, "Fast polarization dynamics of an erbium-doped fiber ring laser," Opt. Lett,  21, 1478 (1996).
[CrossRef] [PubMed]

Zhang, S.

S. Zhang, Y. Liu, D. Lenstra, M.T. Hill, H. Ju, G.D. Khoe, H.J.S. Dorre, "Ring-laser optical flip-flop memory with single active element," J. Sel. Top. Q. Electron. 10, 1093 (2004).
[CrossRef]

Applied Phys. Lett. (1)

J. J. Liang, S. T. Lau, M. H. Leary and J. M. Ballantyne, "Unidirectional operation of waveguide diode ring lasers," Applied Phys. Lett. 70, 1192 (1997).
[CrossRef]

Electron. Lett. (1)

T. Krauss, P. J. R. Laybourn and J. S. Roberts, "CW operation of semiconductor ring lasers," Electron. Lett. 26, 2095 (1990).
[CrossRef]

IEEE J. Quantum Electron. (2)

M. Sorel, G. Giuliani,A. Scirè, R. Miglierina, J. P. R. Laybourn, S. Donati, "Operating regimes of GaAs-AlGaAs semiconductor ring lasers: experiment and model," IEEE J. Quantum Electron. 39, 1187 (2003).
[CrossRef]

V. Annovazzi-Lodi, A. Scirè, M. Sorel, S. Donati, "Dynamic behavior and locking of a semiconductor laser subjected to external injection," IEEE J. Quantum Electron. 34, 2350 (1998).
[CrossRef]

J. Sel. Top. Q. Electron. (1)

S. Zhang, Y. Liu, D. Lenstra, M.T. Hill, H. Ju, G.D. Khoe, H.J.S. Dorre, "Ring-laser optical flip-flop memory with single active element," J. Sel. Top. Q. Electron. 10, 1093 (2004).
[CrossRef]

Nature (1)

M. T. Hill, H. J. S. Dorren, T. de Vries, X. J. M. Leijtens, J. H. den Besten, B. Smalbrugge,Y. S Oei, H. Binsma, G. D. Khoe, M. K. Smit, "A fast low-power optical memory based on coupled micro-ring lasers," Nature 432, 206 (2004).
[CrossRef] [PubMed]

Opt. Lett (1)

Q. L. Williams, and R. Roy, "Fast polarization dynamics of an erbium-doped fiber ring laser," Opt. Lett,  21, 1478 (1996).
[CrossRef] [PubMed]

Opt. Lett. (3)

Phys. Rev. Lett (2)

H. Nakatsuka, S. Asaka, H. Itoh, K. Ikeda, and M. Matsuoka, "Observation of bifurcation to chaos in an all-optical bistable system, " Phys. Rev. Lett,  50, 109 (1983)
[CrossRef]

E. J. D’Angelo, E. Izaguirre, G. B. Mindlin, L. Gil, and J. R. Tredicce, "Spatiotemporal dynamics of lasers in the presence of an imperfect O(2) symmetry," Phys. Rev. Lett,  68, 3702 (1992).
[CrossRef] [PubMed]

Quantum Semiclass. Opt. (1)

G. H. M. van Tartwijk, D. Lenstra, "Semiconductor lasers with optical injection and feedback," Quantum Semiclass. Opt. 7, 87 (1995).
[CrossRef]

Rev. Mod. Phys. (1)

W. W. Chow, J. Gea-Banacloche, L. M. Pedrotti, V. E. Sanders, W. Schleich and M. O. Scully, "The ring laser gyro," Rev. Mod. Phys. 5761 (1985).
[CrossRef]

Other (2)

C. O. Weiss and R. Vilaseca, "Dynamics of lasers," Weinheim, New York (1991), and refs therein.

M. San Miguel, R. Toral, "Stochastic Effects in Physical Systems," Instabilities and Nonequilibrium Structures V, edited by Tirapegui E., Martinez J., and Tiermann R., Netherlands: Kluwer Academic Publishers, (1999).

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (5)

Fig. 1.
Fig. 1.

Geometry of the SRL device and the injection scheme.

Fig. 2.
Fig. 2.

Bifurcation diagram for the field intensities Q 2 1,2(t). Symbols indicate the extrema of the field intensities in the oscillatory regime: open circle (square) represent the maxima (minima) of both Q 2 1(t) and Q 2 2(t). The stable steady states are denoted by thick black lines, and unstable steady states by grey dashed lines.

Fig. 3.
Fig. 3.

Time traces of the dynamic variables under pulsed optical injection operation conditions. Upper panel: dimensionless trigger amplitude |F 1(t)| (blue), and |F 2(t)| (red). Middle panel: dimensionless SRL modal amplitudes |E 1(t)| (blue), and |E 2(t)| (red). Lower panel: carrier. The trigger characteristics: A = 0.1, t= 0.1, τ = 0.1T,T = 10 ns. μ = 3.0, corresponding to C ~ 0.85.

Fig. 4.
Fig. 4.

Cross-correlation function X(T), given by Eq. (6), versus the dimensionless trigger amplitude A and the pulse decay time τ normalized to the pulse repetition rate T = 10 ns. Parameters as in Fig. 3. Colorbar indicates values of the cross-correlation function.

Fig. 5.
Fig. 5.

Statistics of the response time tR vs dimensionless trigger pulse amplitude A. dots: mean value < tR >; error bars σ R = < t R 2 > < t R > 2 for different τ/T. Parameters as in Fig. 3.

Equations (7)

Equations on this page are rendered with MathJax. Learn more.

E ˙ 1,2 = ( 1 + i α ) 2 [ N ( 1 s E 1,2 2 c E 2,1 2 1 ) ] E 1,2
( k d + i k c ) E 2,1 + τ p τ in F 1,2 ( t ) + β τ p N ζ 1,2 ( t )
N ˙ = γ [ μ N N ( 1 s E 1 2 c E 2 2 ) E 1 2 N ( 1 s E 2 2 c E 1 2 ) E 2 2 ]
E ˙ 1,2 = ( 1 + i α ) 2 [ N ( 1 s E 1,2 2 c E 2,1 2 ) 1 ] E 1,2 ( k d + i k c ) E 2,1
Q 2 = N 1 + k d ( c + s ) N
N = μ 1 + 2 Q 2 2 ( c + s ) Q 4
X ( T ) = 1 P 1 P 2 1 T max 0 T max P 1 ( t ) P 2 ( t T ) dt

Metrics