Abstract

We study theoretically and experimentally the switching dynamics of a nonlinear optical bistable system that exhibits modulational instability in the vicinity of its lower limit point. We show that modulational instability induces premature upswitching and, in this way, truncates the bistable cycle. The role of the modulation instability is identified experimentally through the observation of the transient pattern formation that precedes upswitching. Our experiment illustrates the importance of cooperative behavior in practical distributed bistable systems.

© 1999 Optical Society of America

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References

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  1. G. P. Agrawal, Nonlinear Fiber Optics, Optics and Photonics, 2nd ed. (Academic, San Diego, Calif., 1995).
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    [CrossRef] [PubMed]
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    [CrossRef]
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    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
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    [CrossRef]

1998 (1)

1997 (1)

S. Coen and M. Haelterman, Phys. Rev. Lett. 79, 4139 (1997).
[CrossRef]

1992 (2)

J. Nalik, L. M. Hoffer, G. L. Lippi, C. Vorgerd, and W. Lange, Phys. Rev. A 45, 4237 (1992).
[CrossRef] [PubMed]

M. Haelterman, S. Trillo, and S. Wabnitz, Opt. Lett. 17, 745 (1992).
[CrossRef] [PubMed]

1990 (1)

1988 (1)

M. Nakazawa, K. Suzuki, and H. A. Haus, Phys. Rev. A 38, 5193 (1988).
[CrossRef] [PubMed]

1987 (1)

L. A. Lugiato and R. Lefever, Phys. Rev. Lett. 58, 2209 (1987).
[CrossRef] [PubMed]

1985 (1)

D. W. McLaughlin, J. V. Moloney, and A. C. Newell, Phys. Rev. Lett. 54, 681 (1985).
[CrossRef] [PubMed]

Agrawal, G. P.

G. P. Agrawal, Nonlinear Fiber Optics, Optics and Photonics, 2nd ed. (Academic, San Diego, Calif., 1995).

Balzer, W.

Coen, S.

Delage, L.

Emplit, Ph.

Haelterman, M.

Haus, H. A.

M. Nakazawa, K. Suzuki, and H. A. Haus, Phys. Rev. A 38, 5193 (1988).
[CrossRef] [PubMed]

Hoffer, L. M.

J. Nalik, L. M. Hoffer, G. L. Lippi, C. Vorgerd, and W. Lange, Phys. Rev. A 45, 4237 (1992).
[CrossRef] [PubMed]

Kreuzer, M.

Lange, W.

J. Nalik, L. M. Hoffer, G. L. Lippi, C. Vorgerd, and W. Lange, Phys. Rev. A 45, 4237 (1992).
[CrossRef] [PubMed]

Lefever, R.

L. A. Lugiato and R. Lefever, Phys. Rev. Lett. 58, 2209 (1987).
[CrossRef] [PubMed]

Lippi, G. L.

J. Nalik, L. M. Hoffer, G. L. Lippi, C. Vorgerd, and W. Lange, Phys. Rev. A 45, 4237 (1992).
[CrossRef] [PubMed]

Lugiato, L. A.

L. A. Lugiato and R. Lefever, Phys. Rev. Lett. 58, 2209 (1987).
[CrossRef] [PubMed]

McLaughlin, D. W.

D. W. McLaughlin, J. V. Moloney, and A. C. Newell, Phys. Rev. Lett. 54, 681 (1985).
[CrossRef] [PubMed]

Moloney, J. V.

D. W. McLaughlin, J. V. Moloney, and A. C. Newell, Phys. Rev. Lett. 54, 681 (1985).
[CrossRef] [PubMed]

Nakazawa, M.

M. Nakazawa, K. Suzuki, and H. A. Haus, Phys. Rev. A 38, 5193 (1988).
[CrossRef] [PubMed]

Nalik, J.

J. Nalik, L. M. Hoffer, G. L. Lippi, C. Vorgerd, and W. Lange, Phys. Rev. A 45, 4237 (1992).
[CrossRef] [PubMed]

Newell, A. C.

D. W. McLaughlin, J. V. Moloney, and A. C. Newell, Phys. Rev. Lett. 54, 681 (1985).
[CrossRef] [PubMed]

Reynaud, F.

Simohamed, L. M.

Suzuki, K.

M. Nakazawa, K. Suzuki, and H. A. Haus, Phys. Rev. A 38, 5193 (1988).
[CrossRef] [PubMed]

Trillo, S.

Tschudi, T.

Vorgerd, C.

J. Nalik, L. M. Hoffer, G. L. Lippi, C. Vorgerd, and W. Lange, Phys. Rev. A 45, 4237 (1992).
[CrossRef] [PubMed]

Wabnitz, S.

Appl. Opt. (1)

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

Opt. Lett. (1)

Phys. Rev. A (2)

J. Nalik, L. M. Hoffer, G. L. Lippi, C. Vorgerd, and W. Lange, Phys. Rev. A 45, 4237 (1992).
[CrossRef] [PubMed]

M. Nakazawa, K. Suzuki, and H. A. Haus, Phys. Rev. A 38, 5193 (1988).
[CrossRef] [PubMed]

Phys. Rev. Lett. (3)

S. Coen and M. Haelterman, Phys. Rev. Lett. 79, 4139 (1997).
[CrossRef]

D. W. McLaughlin, J. V. Moloney, and A. C. Newell, Phys. Rev. Lett. 54, 681 (1985).
[CrossRef] [PubMed]

L. A. Lugiato and R. Lefever, Phys. Rev. Lett. 58, 2209 (1987).
[CrossRef] [PubMed]

Other (1)

G. P. Agrawal, Nonlinear Fiber Optics, Optics and Photonics, 2nd ed. (Academic, San Diego, Calif., 1995).

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Figures (4)

Fig. 1
Fig. 1

Experimental setup: HV, high-voltage; EOM, electro-optic modulator; PD, photodiode.

Fig. 2
Fig. 2

Evolution of the intensities of (a) the cw component A02 and (b) the MI sidebands A12 during the upswitching process with Δ=4. (c) The corresponding truncated bistable cycle.

Fig. 3
Fig. 3

Logarithmic contour plot (1-dB/line) showing the evolution of the cavity field spectrum during the upswitching process for δ=0.7π.

Fig. 4
Fig. 4

As in Fig.  2 but for the experimental data.

Equations (1)

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tE=-iττ2E+i(E2-Δ)E-E+Ei.

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