Abstract

Optical bistability in a CO2 infrared laser containing SF6 as a saturable intracavity absorber has been studied under dynamic conditions as a function of a time-dependent laser control parameter. The width of the optical bistability region, the fluctuations in the bistability switching values, and the dependence on the initial conditions have been investigated in this transient optical bistability. A numerical solution of the laser rate equations provides a good interpretation of the experimental results, but some experimental observations cannot be completely explained.

© 1987 Optical Society of America

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References

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  1. P. Mandel and T. Erneux, “Stationary, harmonic and pulsed operations of an optically bistable laser with saturable absorber. I and II,” Phys. Rev. A 30, 1893–1901, 1902–1909 (1984).
    [Crossref]
  2. P. Mandel and T. Erneux, “Dynamic effects in optical bistability,” Phil. Trans. R. Soc. London Ser. A 313, 285–290 (1984).
    [Crossref]
  3. P. Mandel, “Laser Lorentz equations with a time-dependent parameter,” Phys. Rev. Lett. 53, 1818–1820 (1984).
    [Crossref]
  4. G. Broggi, A. Colombo, L. A. Lugiato, and P. Mandel, “Influence of white noise on delayed bifurcations,” Phys. Rev. A 33, 3635–3637 (1986).
    [Crossref] [PubMed]
  5. P. Glorieux and D. Dangoisse, “Dynamical behavior of a laser containing a saturable absorber,” IEEE J. Quantum Electron. QE-21, 1486–1490 (1985).
    [Crossref]
  6. E. Arimondo, C. Gabbanini, E. Menchi, D. Dangoisse, and P. Glorieux, “Transient bistability in laser containing saturable absorber,” in Optical Instabilites, R. W. Boyd, M. G. Raymer, and L. M. Narducci, eds. (Cambridge U. Press, Cambridge, 1986), pp. 277–280.
  7. E. Arimondo and E. Menchi, “Analysis of Q-switch in a CO2laser with saturable absorber,” Appl. Phys. B 37, 55–60 (1985).
    [Crossref]
  8. E. Arimondo, F. Casagrande, L. Lugiato, and P. Glorieux, “Repetitive passive Q-switching and bistability in lasers with saturable absorber,” Appl. Phys. B 30, 57–77 (1983).
    [Crossref]
  9. For a review of previous work see H. M. Gibbs, Optical Bistability: Controlling Light with Light (Academic, New York, 1985), Chap. 5; for semiconductor active and passive systems see M. J. Adams, “Time dependent analysis of active and passive optical bistability in semiconductors,” IEE Proc. 132J, 343–348 (1985).
  10. E. Arimondo and B. M. Dinelli, “Optical bistability of a CO2laser with intracavity saturable absorber: experiment and model,” Opt. Commun. 44, 277–282 (1982); E. Arimondo, B. M. Dinelli, and E. Menchi, “Precise measurements on optical bistability and passive Q-switching in a CO2laser with saturable absorber,” in Optical Bistability 2, C. M. Bowden, H. M. Gibbs, and S. L. McCall, eds. (Plenum, New York, 1984), pp. 317–324.
    [Crossref]
  11. M. Tachikawa, K. Tanii, M. Kajita, and T. Shimizu, “Undamped undulation superposed on the passive Q-switching pulse of a CO2laser,” Appl. Phys. B 39, 83–90 (1986).
    [Crossref]
  12. E. Arimondo, C. Gabbanini, A. Gozzini, I. Longo, F. Maccarrone, F. Mango, and E. Menchi, “Width of OB switching time distributions,” in Optical Bistability 3, H. M. Gibbs, P. Mandel, and S. D. Smith, eds. (Springer-Verlag, New York, 1986), pp. 256–259.
    [Crossref]
  13. E. Arimondo, D. Dangoisse, L. Fronzoni, O. Incani, and N. K. Rahman, “Optical bistability switching with external noise,” presented at the International Laser Science Conference, Seattle, Wash., October 19–24, 1986 [AIP Conf. Proc. (to be published)].
  14. F. T. Arecchi and A. Politi, “A new description of the decay of an unstable state,” Phys. Lett. 77A, 312–315 (1980); “Transient fluctuations in the decay of an unstable state,” Phys. Rev. Lett. 45, 1219–1222 (1980).
  15. E. Arimondo, P. Bootz, P. Glorieux, and E. Menchi, “Pulse shape and phase diagram in the passive Q switching of CO2lasers,” J. Opt. Soc. Am. B2, 193–201 (1985).
  16. E. Arimondo, C. Gabbanini, E. Menchi, and B. Zambon, “Infrared CO2laser with intracavity absorber: static and dynamic nonlinear behavior,” in Optical Chaos, J. Chrostowski and N. B. Abraham, eds., Proc. Soc. Photo-Opt. Instrum. Eng.667, 234–241 (1986).
    [Crossref]
  17. J. Dupré, F. Meyer, and C. Meyer, “Influence des phenomones de relaxation sur la forme des impulsions fournies par un laser CO2declaché par un absorbant saturable,” Rev. Phys. Appl. (Paris) 10, 285–293 (1975).
    [Crossref]

1986 (2)

G. Broggi, A. Colombo, L. A. Lugiato, and P. Mandel, “Influence of white noise on delayed bifurcations,” Phys. Rev. A 33, 3635–3637 (1986).
[Crossref] [PubMed]

M. Tachikawa, K. Tanii, M. Kajita, and T. Shimizu, “Undamped undulation superposed on the passive Q-switching pulse of a CO2laser,” Appl. Phys. B 39, 83–90 (1986).
[Crossref]

1985 (3)

P. Glorieux and D. Dangoisse, “Dynamical behavior of a laser containing a saturable absorber,” IEEE J. Quantum Electron. QE-21, 1486–1490 (1985).
[Crossref]

E. Arimondo and E. Menchi, “Analysis of Q-switch in a CO2laser with saturable absorber,” Appl. Phys. B 37, 55–60 (1985).
[Crossref]

E. Arimondo, P. Bootz, P. Glorieux, and E. Menchi, “Pulse shape and phase diagram in the passive Q switching of CO2lasers,” J. Opt. Soc. Am. B2, 193–201 (1985).

1984 (3)

P. Mandel and T. Erneux, “Stationary, harmonic and pulsed operations of an optically bistable laser with saturable absorber. I and II,” Phys. Rev. A 30, 1893–1901, 1902–1909 (1984).
[Crossref]

P. Mandel and T. Erneux, “Dynamic effects in optical bistability,” Phil. Trans. R. Soc. London Ser. A 313, 285–290 (1984).
[Crossref]

P. Mandel, “Laser Lorentz equations with a time-dependent parameter,” Phys. Rev. Lett. 53, 1818–1820 (1984).
[Crossref]

1983 (1)

E. Arimondo, F. Casagrande, L. Lugiato, and P. Glorieux, “Repetitive passive Q-switching and bistability in lasers with saturable absorber,” Appl. Phys. B 30, 57–77 (1983).
[Crossref]

1982 (1)

E. Arimondo and B. M. Dinelli, “Optical bistability of a CO2laser with intracavity saturable absorber: experiment and model,” Opt. Commun. 44, 277–282 (1982); E. Arimondo, B. M. Dinelli, and E. Menchi, “Precise measurements on optical bistability and passive Q-switching in a CO2laser with saturable absorber,” in Optical Bistability 2, C. M. Bowden, H. M. Gibbs, and S. L. McCall, eds. (Plenum, New York, 1984), pp. 317–324.
[Crossref]

1980 (1)

F. T. Arecchi and A. Politi, “A new description of the decay of an unstable state,” Phys. Lett. 77A, 312–315 (1980); “Transient fluctuations in the decay of an unstable state,” Phys. Rev. Lett. 45, 1219–1222 (1980).

1975 (1)

J. Dupré, F. Meyer, and C. Meyer, “Influence des phenomones de relaxation sur la forme des impulsions fournies par un laser CO2declaché par un absorbant saturable,” Rev. Phys. Appl. (Paris) 10, 285–293 (1975).
[Crossref]

Arecchi, F. T.

F. T. Arecchi and A. Politi, “A new description of the decay of an unstable state,” Phys. Lett. 77A, 312–315 (1980); “Transient fluctuations in the decay of an unstable state,” Phys. Rev. Lett. 45, 1219–1222 (1980).

Arimondo, E.

E. Arimondo, P. Bootz, P. Glorieux, and E. Menchi, “Pulse shape and phase diagram in the passive Q switching of CO2lasers,” J. Opt. Soc. Am. B2, 193–201 (1985).

E. Arimondo and E. Menchi, “Analysis of Q-switch in a CO2laser with saturable absorber,” Appl. Phys. B 37, 55–60 (1985).
[Crossref]

E. Arimondo, F. Casagrande, L. Lugiato, and P. Glorieux, “Repetitive passive Q-switching and bistability in lasers with saturable absorber,” Appl. Phys. B 30, 57–77 (1983).
[Crossref]

E. Arimondo and B. M. Dinelli, “Optical bistability of a CO2laser with intracavity saturable absorber: experiment and model,” Opt. Commun. 44, 277–282 (1982); E. Arimondo, B. M. Dinelli, and E. Menchi, “Precise measurements on optical bistability and passive Q-switching in a CO2laser with saturable absorber,” in Optical Bistability 2, C. M. Bowden, H. M. Gibbs, and S. L. McCall, eds. (Plenum, New York, 1984), pp. 317–324.
[Crossref]

E. Arimondo, C. Gabbanini, A. Gozzini, I. Longo, F. Maccarrone, F. Mango, and E. Menchi, “Width of OB switching time distributions,” in Optical Bistability 3, H. M. Gibbs, P. Mandel, and S. D. Smith, eds. (Springer-Verlag, New York, 1986), pp. 256–259.
[Crossref]

E. Arimondo, D. Dangoisse, L. Fronzoni, O. Incani, and N. K. Rahman, “Optical bistability switching with external noise,” presented at the International Laser Science Conference, Seattle, Wash., October 19–24, 1986 [AIP Conf. Proc. (to be published)].

E. Arimondo, C. Gabbanini, E. Menchi, D. Dangoisse, and P. Glorieux, “Transient bistability in laser containing saturable absorber,” in Optical Instabilites, R. W. Boyd, M. G. Raymer, and L. M. Narducci, eds. (Cambridge U. Press, Cambridge, 1986), pp. 277–280.

E. Arimondo, C. Gabbanini, E. Menchi, and B. Zambon, “Infrared CO2laser with intracavity absorber: static and dynamic nonlinear behavior,” in Optical Chaos, J. Chrostowski and N. B. Abraham, eds., Proc. Soc. Photo-Opt. Instrum. Eng.667, 234–241 (1986).
[Crossref]

Bootz, P.

E. Arimondo, P. Bootz, P. Glorieux, and E. Menchi, “Pulse shape and phase diagram in the passive Q switching of CO2lasers,” J. Opt. Soc. Am. B2, 193–201 (1985).

Broggi, G.

G. Broggi, A. Colombo, L. A. Lugiato, and P. Mandel, “Influence of white noise on delayed bifurcations,” Phys. Rev. A 33, 3635–3637 (1986).
[Crossref] [PubMed]

Casagrande, F.

E. Arimondo, F. Casagrande, L. Lugiato, and P. Glorieux, “Repetitive passive Q-switching and bistability in lasers with saturable absorber,” Appl. Phys. B 30, 57–77 (1983).
[Crossref]

Colombo, A.

G. Broggi, A. Colombo, L. A. Lugiato, and P. Mandel, “Influence of white noise on delayed bifurcations,” Phys. Rev. A 33, 3635–3637 (1986).
[Crossref] [PubMed]

Dangoisse, D.

P. Glorieux and D. Dangoisse, “Dynamical behavior of a laser containing a saturable absorber,” IEEE J. Quantum Electron. QE-21, 1486–1490 (1985).
[Crossref]

E. Arimondo, D. Dangoisse, L. Fronzoni, O. Incani, and N. K. Rahman, “Optical bistability switching with external noise,” presented at the International Laser Science Conference, Seattle, Wash., October 19–24, 1986 [AIP Conf. Proc. (to be published)].

E. Arimondo, C. Gabbanini, E. Menchi, D. Dangoisse, and P. Glorieux, “Transient bistability in laser containing saturable absorber,” in Optical Instabilites, R. W. Boyd, M. G. Raymer, and L. M. Narducci, eds. (Cambridge U. Press, Cambridge, 1986), pp. 277–280.

Dinelli, B. M.

E. Arimondo and B. M. Dinelli, “Optical bistability of a CO2laser with intracavity saturable absorber: experiment and model,” Opt. Commun. 44, 277–282 (1982); E. Arimondo, B. M. Dinelli, and E. Menchi, “Precise measurements on optical bistability and passive Q-switching in a CO2laser with saturable absorber,” in Optical Bistability 2, C. M. Bowden, H. M. Gibbs, and S. L. McCall, eds. (Plenum, New York, 1984), pp. 317–324.
[Crossref]

Dupré, J.

J. Dupré, F. Meyer, and C. Meyer, “Influence des phenomones de relaxation sur la forme des impulsions fournies par un laser CO2declaché par un absorbant saturable,” Rev. Phys. Appl. (Paris) 10, 285–293 (1975).
[Crossref]

Erneux, T.

P. Mandel and T. Erneux, “Stationary, harmonic and pulsed operations of an optically bistable laser with saturable absorber. I and II,” Phys. Rev. A 30, 1893–1901, 1902–1909 (1984).
[Crossref]

P. Mandel and T. Erneux, “Dynamic effects in optical bistability,” Phil. Trans. R. Soc. London Ser. A 313, 285–290 (1984).
[Crossref]

Fronzoni, L.

E. Arimondo, D. Dangoisse, L. Fronzoni, O. Incani, and N. K. Rahman, “Optical bistability switching with external noise,” presented at the International Laser Science Conference, Seattle, Wash., October 19–24, 1986 [AIP Conf. Proc. (to be published)].

Gabbanini, C.

E. Arimondo, C. Gabbanini, A. Gozzini, I. Longo, F. Maccarrone, F. Mango, and E. Menchi, “Width of OB switching time distributions,” in Optical Bistability 3, H. M. Gibbs, P. Mandel, and S. D. Smith, eds. (Springer-Verlag, New York, 1986), pp. 256–259.
[Crossref]

E. Arimondo, C. Gabbanini, E. Menchi, D. Dangoisse, and P. Glorieux, “Transient bistability in laser containing saturable absorber,” in Optical Instabilites, R. W. Boyd, M. G. Raymer, and L. M. Narducci, eds. (Cambridge U. Press, Cambridge, 1986), pp. 277–280.

E. Arimondo, C. Gabbanini, E. Menchi, and B. Zambon, “Infrared CO2laser with intracavity absorber: static and dynamic nonlinear behavior,” in Optical Chaos, J. Chrostowski and N. B. Abraham, eds., Proc. Soc. Photo-Opt. Instrum. Eng.667, 234–241 (1986).
[Crossref]

Gibbs, H. M.

For a review of previous work see H. M. Gibbs, Optical Bistability: Controlling Light with Light (Academic, New York, 1985), Chap. 5; for semiconductor active and passive systems see M. J. Adams, “Time dependent analysis of active and passive optical bistability in semiconductors,” IEE Proc. 132J, 343–348 (1985).

Glorieux, P.

E. Arimondo, P. Bootz, P. Glorieux, and E. Menchi, “Pulse shape and phase diagram in the passive Q switching of CO2lasers,” J. Opt. Soc. Am. B2, 193–201 (1985).

P. Glorieux and D. Dangoisse, “Dynamical behavior of a laser containing a saturable absorber,” IEEE J. Quantum Electron. QE-21, 1486–1490 (1985).
[Crossref]

E. Arimondo, F. Casagrande, L. Lugiato, and P. Glorieux, “Repetitive passive Q-switching and bistability in lasers with saturable absorber,” Appl. Phys. B 30, 57–77 (1983).
[Crossref]

E. Arimondo, C. Gabbanini, E. Menchi, D. Dangoisse, and P. Glorieux, “Transient bistability in laser containing saturable absorber,” in Optical Instabilites, R. W. Boyd, M. G. Raymer, and L. M. Narducci, eds. (Cambridge U. Press, Cambridge, 1986), pp. 277–280.

Gozzini, A.

E. Arimondo, C. Gabbanini, A. Gozzini, I. Longo, F. Maccarrone, F. Mango, and E. Menchi, “Width of OB switching time distributions,” in Optical Bistability 3, H. M. Gibbs, P. Mandel, and S. D. Smith, eds. (Springer-Verlag, New York, 1986), pp. 256–259.
[Crossref]

Incani, O.

E. Arimondo, D. Dangoisse, L. Fronzoni, O. Incani, and N. K. Rahman, “Optical bistability switching with external noise,” presented at the International Laser Science Conference, Seattle, Wash., October 19–24, 1986 [AIP Conf. Proc. (to be published)].

Kajita, M.

M. Tachikawa, K. Tanii, M. Kajita, and T. Shimizu, “Undamped undulation superposed on the passive Q-switching pulse of a CO2laser,” Appl. Phys. B 39, 83–90 (1986).
[Crossref]

Longo, I.

E. Arimondo, C. Gabbanini, A. Gozzini, I. Longo, F. Maccarrone, F. Mango, and E. Menchi, “Width of OB switching time distributions,” in Optical Bistability 3, H. M. Gibbs, P. Mandel, and S. D. Smith, eds. (Springer-Verlag, New York, 1986), pp. 256–259.
[Crossref]

Lugiato, L.

E. Arimondo, F. Casagrande, L. Lugiato, and P. Glorieux, “Repetitive passive Q-switching and bistability in lasers with saturable absorber,” Appl. Phys. B 30, 57–77 (1983).
[Crossref]

Lugiato, L. A.

G. Broggi, A. Colombo, L. A. Lugiato, and P. Mandel, “Influence of white noise on delayed bifurcations,” Phys. Rev. A 33, 3635–3637 (1986).
[Crossref] [PubMed]

Maccarrone, F.

E. Arimondo, C. Gabbanini, A. Gozzini, I. Longo, F. Maccarrone, F. Mango, and E. Menchi, “Width of OB switching time distributions,” in Optical Bistability 3, H. M. Gibbs, P. Mandel, and S. D. Smith, eds. (Springer-Verlag, New York, 1986), pp. 256–259.
[Crossref]

Mandel, P.

G. Broggi, A. Colombo, L. A. Lugiato, and P. Mandel, “Influence of white noise on delayed bifurcations,” Phys. Rev. A 33, 3635–3637 (1986).
[Crossref] [PubMed]

P. Mandel, “Laser Lorentz equations with a time-dependent parameter,” Phys. Rev. Lett. 53, 1818–1820 (1984).
[Crossref]

P. Mandel and T. Erneux, “Dynamic effects in optical bistability,” Phil. Trans. R. Soc. London Ser. A 313, 285–290 (1984).
[Crossref]

P. Mandel and T. Erneux, “Stationary, harmonic and pulsed operations of an optically bistable laser with saturable absorber. I and II,” Phys. Rev. A 30, 1893–1901, 1902–1909 (1984).
[Crossref]

Mango, F.

E. Arimondo, C. Gabbanini, A. Gozzini, I. Longo, F. Maccarrone, F. Mango, and E. Menchi, “Width of OB switching time distributions,” in Optical Bistability 3, H. M. Gibbs, P. Mandel, and S. D. Smith, eds. (Springer-Verlag, New York, 1986), pp. 256–259.
[Crossref]

Menchi, E.

E. Arimondo and E. Menchi, “Analysis of Q-switch in a CO2laser with saturable absorber,” Appl. Phys. B 37, 55–60 (1985).
[Crossref]

E. Arimondo, P. Bootz, P. Glorieux, and E. Menchi, “Pulse shape and phase diagram in the passive Q switching of CO2lasers,” J. Opt. Soc. Am. B2, 193–201 (1985).

E. Arimondo, C. Gabbanini, E. Menchi, and B. Zambon, “Infrared CO2laser with intracavity absorber: static and dynamic nonlinear behavior,” in Optical Chaos, J. Chrostowski and N. B. Abraham, eds., Proc. Soc. Photo-Opt. Instrum. Eng.667, 234–241 (1986).
[Crossref]

E. Arimondo, C. Gabbanini, E. Menchi, D. Dangoisse, and P. Glorieux, “Transient bistability in laser containing saturable absorber,” in Optical Instabilites, R. W. Boyd, M. G. Raymer, and L. M. Narducci, eds. (Cambridge U. Press, Cambridge, 1986), pp. 277–280.

E. Arimondo, C. Gabbanini, A. Gozzini, I. Longo, F. Maccarrone, F. Mango, and E. Menchi, “Width of OB switching time distributions,” in Optical Bistability 3, H. M. Gibbs, P. Mandel, and S. D. Smith, eds. (Springer-Verlag, New York, 1986), pp. 256–259.
[Crossref]

Meyer, C.

J. Dupré, F. Meyer, and C. Meyer, “Influence des phenomones de relaxation sur la forme des impulsions fournies par un laser CO2declaché par un absorbant saturable,” Rev. Phys. Appl. (Paris) 10, 285–293 (1975).
[Crossref]

Meyer, F.

J. Dupré, F. Meyer, and C. Meyer, “Influence des phenomones de relaxation sur la forme des impulsions fournies par un laser CO2declaché par un absorbant saturable,” Rev. Phys. Appl. (Paris) 10, 285–293 (1975).
[Crossref]

Politi, A.

F. T. Arecchi and A. Politi, “A new description of the decay of an unstable state,” Phys. Lett. 77A, 312–315 (1980); “Transient fluctuations in the decay of an unstable state,” Phys. Rev. Lett. 45, 1219–1222 (1980).

Rahman, N. K.

E. Arimondo, D. Dangoisse, L. Fronzoni, O. Incani, and N. K. Rahman, “Optical bistability switching with external noise,” presented at the International Laser Science Conference, Seattle, Wash., October 19–24, 1986 [AIP Conf. Proc. (to be published)].

Shimizu, T.

M. Tachikawa, K. Tanii, M. Kajita, and T. Shimizu, “Undamped undulation superposed on the passive Q-switching pulse of a CO2laser,” Appl. Phys. B 39, 83–90 (1986).
[Crossref]

Tachikawa, M.

M. Tachikawa, K. Tanii, M. Kajita, and T. Shimizu, “Undamped undulation superposed on the passive Q-switching pulse of a CO2laser,” Appl. Phys. B 39, 83–90 (1986).
[Crossref]

Tanii, K.

M. Tachikawa, K. Tanii, M. Kajita, and T. Shimizu, “Undamped undulation superposed on the passive Q-switching pulse of a CO2laser,” Appl. Phys. B 39, 83–90 (1986).
[Crossref]

Zambon, B.

E. Arimondo, C. Gabbanini, E. Menchi, and B. Zambon, “Infrared CO2laser with intracavity absorber: static and dynamic nonlinear behavior,” in Optical Chaos, J. Chrostowski and N. B. Abraham, eds., Proc. Soc. Photo-Opt. Instrum. Eng.667, 234–241 (1986).
[Crossref]

Appl. Phys. B (3)

E. Arimondo and E. Menchi, “Analysis of Q-switch in a CO2laser with saturable absorber,” Appl. Phys. B 37, 55–60 (1985).
[Crossref]

E. Arimondo, F. Casagrande, L. Lugiato, and P. Glorieux, “Repetitive passive Q-switching and bistability in lasers with saturable absorber,” Appl. Phys. B 30, 57–77 (1983).
[Crossref]

M. Tachikawa, K. Tanii, M. Kajita, and T. Shimizu, “Undamped undulation superposed on the passive Q-switching pulse of a CO2laser,” Appl. Phys. B 39, 83–90 (1986).
[Crossref]

IEEE J. Quantum Electron. (1)

P. Glorieux and D. Dangoisse, “Dynamical behavior of a laser containing a saturable absorber,” IEEE J. Quantum Electron. QE-21, 1486–1490 (1985).
[Crossref]

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

E. Arimondo, P. Bootz, P. Glorieux, and E. Menchi, “Pulse shape and phase diagram in the passive Q switching of CO2lasers,” J. Opt. Soc. Am. B2, 193–201 (1985).

Opt. Commun. (1)

E. Arimondo and B. M. Dinelli, “Optical bistability of a CO2laser with intracavity saturable absorber: experiment and model,” Opt. Commun. 44, 277–282 (1982); E. Arimondo, B. M. Dinelli, and E. Menchi, “Precise measurements on optical bistability and passive Q-switching in a CO2laser with saturable absorber,” in Optical Bistability 2, C. M. Bowden, H. M. Gibbs, and S. L. McCall, eds. (Plenum, New York, 1984), pp. 317–324.
[Crossref]

Phil. Trans. R. Soc. London Ser. A (1)

P. Mandel and T. Erneux, “Dynamic effects in optical bistability,” Phil. Trans. R. Soc. London Ser. A 313, 285–290 (1984).
[Crossref]

Phys. Lett. (1)

F. T. Arecchi and A. Politi, “A new description of the decay of an unstable state,” Phys. Lett. 77A, 312–315 (1980); “Transient fluctuations in the decay of an unstable state,” Phys. Rev. Lett. 45, 1219–1222 (1980).

Phys. Rev. A (2)

P. Mandel and T. Erneux, “Stationary, harmonic and pulsed operations of an optically bistable laser with saturable absorber. I and II,” Phys. Rev. A 30, 1893–1901, 1902–1909 (1984).
[Crossref]

G. Broggi, A. Colombo, L. A. Lugiato, and P. Mandel, “Influence of white noise on delayed bifurcations,” Phys. Rev. A 33, 3635–3637 (1986).
[Crossref] [PubMed]

Phys. Rev. Lett. (1)

P. Mandel, “Laser Lorentz equations with a time-dependent parameter,” Phys. Rev. Lett. 53, 1818–1820 (1984).
[Crossref]

Rev. Phys. Appl. (Paris) (1)

J. Dupré, F. Meyer, and C. Meyer, “Influence des phenomones de relaxation sur la forme des impulsions fournies par un laser CO2declaché par un absorbant saturable,” Rev. Phys. Appl. (Paris) 10, 285–293 (1975).
[Crossref]

Other (5)

E. Arimondo, C. Gabbanini, E. Menchi, and B. Zambon, “Infrared CO2laser with intracavity absorber: static and dynamic nonlinear behavior,” in Optical Chaos, J. Chrostowski and N. B. Abraham, eds., Proc. Soc. Photo-Opt. Instrum. Eng.667, 234–241 (1986).
[Crossref]

E. Arimondo, C. Gabbanini, A. Gozzini, I. Longo, F. Maccarrone, F. Mango, and E. Menchi, “Width of OB switching time distributions,” in Optical Bistability 3, H. M. Gibbs, P. Mandel, and S. D. Smith, eds. (Springer-Verlag, New York, 1986), pp. 256–259.
[Crossref]

E. Arimondo, D. Dangoisse, L. Fronzoni, O. Incani, and N. K. Rahman, “Optical bistability switching with external noise,” presented at the International Laser Science Conference, Seattle, Wash., October 19–24, 1986 [AIP Conf. Proc. (to be published)].

E. Arimondo, C. Gabbanini, E. Menchi, D. Dangoisse, and P. Glorieux, “Transient bistability in laser containing saturable absorber,” in Optical Instabilites, R. W. Boyd, M. G. Raymer, and L. M. Narducci, eds. (Cambridge U. Press, Cambridge, 1986), pp. 277–280.

For a review of previous work see H. M. Gibbs, Optical Bistability: Controlling Light with Light (Academic, New York, 1985), Chap. 5; for semiconductor active and passive systems see M. J. Adams, “Time dependent analysis of active and passive optical bistability in semiconductors,” IEE Proc. 132J, 343–348 (1985).

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Figures (7)

Fig. 1
Fig. 1

Bistability cycles of the LSA output power P (in arbitrary units) versus the control parameter A for different values of the sweep rate α: (a) α = 3 sec−1, (b) α = 30 sec−1, (c) α = 300 sec−1. CO2 laser operating on 10P(16) line with 12-mTorr-pressure SF6 gas absorber.

Fig. 2
Fig. 2

Experimental results for the switchup A and switchdown A values as a function of the sweep rate α (in inverse seconds) for different values of the intracavity iris. The CO2 laser contained 14-mTorr-pressure SF6 gas. ●, k = 2.5 × 107 sec−1; ■, k = 4 × 107 sec−1; ▲, k = 6 × 107 sec−1. The continuous lines do not represent a theoretical fit but have been drawn through the experimental points for the convenience of the reader.

Fig. 3
Fig. 3

Expanded view of switchoff in the laser output power P (in arbitrary units) for the LSA bistability cycle with α = 300 sec−1, 12-mTorr SF6 gas pressure, and different losses of the intracavity iris: (a) k = 4.7 × 107 sec−1; (b) k = 2.5 × 107 sec−1.

Fig. 4
Fig. 4

Experimental results for the dependence of the switchup value A on the initial value Ao for two different values of the sweep rate α (in inverse seconds) and 12-mTorr SF6 pressure.

Fig. 5
Fig. 5

Histograms of the switching A distribution in 10-mTorr-pressure SF6 absorber for different sweep rates: α = 70, 560, 2100, sec−1 in (a), (b), and (c), respectively.

Fig. 6
Fig. 6

Theoretical transient OB in the LSA for parameters reproducing the experimental conditions. In the lower part an expanded view of the switchdown, with oscillations on the amplifier population, is shown.

Fig. 7
Fig. 7

Relative modifications (as defined in the text) in the switching values of the transient OB versus the a sweep rates for the two sets of LSA parameters of Table 1.

Tables (1)

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Table 1 LSA Parameters

Equations (19)

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A = - 2 g 0 l / ln ( r G r M ) = g 0 l c / L k ,
A ¯ = - 2 a 0 l ¯ / ln ( r G r M ) = a 0 l ¯ c / L k ,
A = A 0 + α t ,
A - A o = A o - A 0 .
M ˙ J = - G I M J - γ R M J + γ R M ,
M ˙ = γ M - γ R M + γ R M J + γ P .
G = g 0 c γ R ( P γ R ) - 1 .
I ˙ = ( - 2 k + f G M J + f ¯ G ¯ M ¯ J ) I .
u = A M / P ,             u J = A M J / P ,
η = γ ( γ R + γ ) - 1 .
a = - G η γ R / ( G ¯ η γ ¯ R ) > 0.
( d d τ + 2 ) I = 2 I ( γ R γ R u J + γ ¯ R γ ¯ R u ¯ J ) ,
d d τ u = γ R k u J - γ R k u - γ k u + γ k A ,
d d τ u J = γ R k u - γ R k ( 1 + η I ) u J ,
d d τ u ¯ = γ ¯ R k u ¯ J - γ ¯ R k u ¯ - γ ¯ k u ¯ + γ ¯ k A ¯ ,
d d τ u ¯ J = γ ¯ R k u ¯ - γ ¯ R k ( 1 + η ¯ a I ) u ¯ J .
A o = 1 + A ¯ ,
A o = [ a + A ¯ - 1 + 2 A ( a - 1 ) ] / a .
Δ A % = ( A - A o ) / A o .

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