Abstract

We investigate the nonlinear dynamic behavior of stimulated Brillouin scattering (SBS) near threshold in the absence of feedback. When a cw Nd:YAG laser is injected into a single-mode optical fiber, the SBS signal exhibits intermittently appearing irregular self-pulsations near the threshold. By examining the time series of the SBS signals, we verify that the irregular SBS signal is one of the chaotic phenomena appearing near the bifurcation point.

© 2006 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. R. G. Harrison, J. S. Uppal, A. Johnstone, and J. V. Moloney, Phys. Rev. Lett. 65, 167 (1990).
    [CrossRef] [PubMed]
  2. A. L. Gaeta and R. W. Boyd, Phys. Rev. A 44, 3205 (1991).
    [CrossRef] [PubMed]
  3. M. Dämmig, G. Zinner, F. Mitschke, and H. Welling, Phys. Rev. A 48, 3301 (1993).
    [CrossRef] [PubMed]
  4. D. Yu, W. Lu, and R. G. Harrison, Phys. Rev. A 51, 669 (1995).
    [CrossRef] [PubMed]
  5. R. G. Harrison, P. M. Ripley, and W. Lu, Phys. Rev. A 49, R24 (1994).
    [CrossRef] [PubMed]
  6. G. P. Agrawal, Nonlinear Fiber Optics, 2nd ed. (Academic, 1995).
  7. D. Marcuse and J. Stone, J. Lightwave Technol. 4, 377 (1986).
    [CrossRef]
  8. N. Platt, E. A. Spiegel, and C. Tresser, Phys. Rev. Lett. 70, 279 (1993).
    [CrossRef] [PubMed]
  9. N. Platt, S. M. Hammel, and J. F. Heagy, Phys. Rev. Lett. 72, 3498 (1994).
    [CrossRef] [PubMed]
  10. P. W. Hammel, N. Platt, S. M. Hammel, J. F. Heagy, and B. D. Lee, Phys. Rev. Lett. 73, 1095 (1994).
    [CrossRef] [PubMed]

1995 (1)

D. Yu, W. Lu, and R. G. Harrison, Phys. Rev. A 51, 669 (1995).
[CrossRef] [PubMed]

1994 (3)

R. G. Harrison, P. M. Ripley, and W. Lu, Phys. Rev. A 49, R24 (1994).
[CrossRef] [PubMed]

N. Platt, S. M. Hammel, and J. F. Heagy, Phys. Rev. Lett. 72, 3498 (1994).
[CrossRef] [PubMed]

P. W. Hammel, N. Platt, S. M. Hammel, J. F. Heagy, and B. D. Lee, Phys. Rev. Lett. 73, 1095 (1994).
[CrossRef] [PubMed]

1993 (2)

M. Dämmig, G. Zinner, F. Mitschke, and H. Welling, Phys. Rev. A 48, 3301 (1993).
[CrossRef] [PubMed]

N. Platt, E. A. Spiegel, and C. Tresser, Phys. Rev. Lett. 70, 279 (1993).
[CrossRef] [PubMed]

1991 (1)

A. L. Gaeta and R. W. Boyd, Phys. Rev. A 44, 3205 (1991).
[CrossRef] [PubMed]

1990 (1)

R. G. Harrison, J. S. Uppal, A. Johnstone, and J. V. Moloney, Phys. Rev. Lett. 65, 167 (1990).
[CrossRef] [PubMed]

1986 (1)

D. Marcuse and J. Stone, J. Lightwave Technol. 4, 377 (1986).
[CrossRef]

Agrawal, G. P.

G. P. Agrawal, Nonlinear Fiber Optics, 2nd ed. (Academic, 1995).

Boyd, R. W.

A. L. Gaeta and R. W. Boyd, Phys. Rev. A 44, 3205 (1991).
[CrossRef] [PubMed]

Dämmig, M.

M. Dämmig, G. Zinner, F. Mitschke, and H. Welling, Phys. Rev. A 48, 3301 (1993).
[CrossRef] [PubMed]

Gaeta, A. L.

A. L. Gaeta and R. W. Boyd, Phys. Rev. A 44, 3205 (1991).
[CrossRef] [PubMed]

Hammel, P. W.

P. W. Hammel, N. Platt, S. M. Hammel, J. F. Heagy, and B. D. Lee, Phys. Rev. Lett. 73, 1095 (1994).
[CrossRef] [PubMed]

Hammel, S. M.

P. W. Hammel, N. Platt, S. M. Hammel, J. F. Heagy, and B. D. Lee, Phys. Rev. Lett. 73, 1095 (1994).
[CrossRef] [PubMed]

N. Platt, S. M. Hammel, and J. F. Heagy, Phys. Rev. Lett. 72, 3498 (1994).
[CrossRef] [PubMed]

Harrison, R. G.

D. Yu, W. Lu, and R. G. Harrison, Phys. Rev. A 51, 669 (1995).
[CrossRef] [PubMed]

R. G. Harrison, P. M. Ripley, and W. Lu, Phys. Rev. A 49, R24 (1994).
[CrossRef] [PubMed]

R. G. Harrison, J. S. Uppal, A. Johnstone, and J. V. Moloney, Phys. Rev. Lett. 65, 167 (1990).
[CrossRef] [PubMed]

Heagy, J. F.

P. W. Hammel, N. Platt, S. M. Hammel, J. F. Heagy, and B. D. Lee, Phys. Rev. Lett. 73, 1095 (1994).
[CrossRef] [PubMed]

N. Platt, S. M. Hammel, and J. F. Heagy, Phys. Rev. Lett. 72, 3498 (1994).
[CrossRef] [PubMed]

Johnstone, A.

R. G. Harrison, J. S. Uppal, A. Johnstone, and J. V. Moloney, Phys. Rev. Lett. 65, 167 (1990).
[CrossRef] [PubMed]

Lee, B. D.

P. W. Hammel, N. Platt, S. M. Hammel, J. F. Heagy, and B. D. Lee, Phys. Rev. Lett. 73, 1095 (1994).
[CrossRef] [PubMed]

Lu, W.

D. Yu, W. Lu, and R. G. Harrison, Phys. Rev. A 51, 669 (1995).
[CrossRef] [PubMed]

R. G. Harrison, P. M. Ripley, and W. Lu, Phys. Rev. A 49, R24 (1994).
[CrossRef] [PubMed]

Marcuse, D.

D. Marcuse and J. Stone, J. Lightwave Technol. 4, 377 (1986).
[CrossRef]

Mitschke, F.

M. Dämmig, G. Zinner, F. Mitschke, and H. Welling, Phys. Rev. A 48, 3301 (1993).
[CrossRef] [PubMed]

Moloney, J. V.

R. G. Harrison, J. S. Uppal, A. Johnstone, and J. V. Moloney, Phys. Rev. Lett. 65, 167 (1990).
[CrossRef] [PubMed]

Platt, N.

P. W. Hammel, N. Platt, S. M. Hammel, J. F. Heagy, and B. D. Lee, Phys. Rev. Lett. 73, 1095 (1994).
[CrossRef] [PubMed]

N. Platt, S. M. Hammel, and J. F. Heagy, Phys. Rev. Lett. 72, 3498 (1994).
[CrossRef] [PubMed]

N. Platt, E. A. Spiegel, and C. Tresser, Phys. Rev. Lett. 70, 279 (1993).
[CrossRef] [PubMed]

Ripley, P. M.

R. G. Harrison, P. M. Ripley, and W. Lu, Phys. Rev. A 49, R24 (1994).
[CrossRef] [PubMed]

Spiegel, E. A.

N. Platt, E. A. Spiegel, and C. Tresser, Phys. Rev. Lett. 70, 279 (1993).
[CrossRef] [PubMed]

Stone, J.

D. Marcuse and J. Stone, J. Lightwave Technol. 4, 377 (1986).
[CrossRef]

Tresser, C.

N. Platt, E. A. Spiegel, and C. Tresser, Phys. Rev. Lett. 70, 279 (1993).
[CrossRef] [PubMed]

Uppal, J. S.

R. G. Harrison, J. S. Uppal, A. Johnstone, and J. V. Moloney, Phys. Rev. Lett. 65, 167 (1990).
[CrossRef] [PubMed]

Welling, H.

M. Dämmig, G. Zinner, F. Mitschke, and H. Welling, Phys. Rev. A 48, 3301 (1993).
[CrossRef] [PubMed]

Yu, D.

D. Yu, W. Lu, and R. G. Harrison, Phys. Rev. A 51, 669 (1995).
[CrossRef] [PubMed]

Zinner, G.

M. Dämmig, G. Zinner, F. Mitschke, and H. Welling, Phys. Rev. A 48, 3301 (1993).
[CrossRef] [PubMed]

J. Lightwave Technol. (1)

D. Marcuse and J. Stone, J. Lightwave Technol. 4, 377 (1986).
[CrossRef]

Phys. Rev. A (4)

A. L. Gaeta and R. W. Boyd, Phys. Rev. A 44, 3205 (1991).
[CrossRef] [PubMed]

M. Dämmig, G. Zinner, F. Mitschke, and H. Welling, Phys. Rev. A 48, 3301 (1993).
[CrossRef] [PubMed]

D. Yu, W. Lu, and R. G. Harrison, Phys. Rev. A 51, 669 (1995).
[CrossRef] [PubMed]

R. G. Harrison, P. M. Ripley, and W. Lu, Phys. Rev. A 49, R24 (1994).
[CrossRef] [PubMed]

Phys. Rev. Lett. (4)

N. Platt, E. A. Spiegel, and C. Tresser, Phys. Rev. Lett. 70, 279 (1993).
[CrossRef] [PubMed]

N. Platt, S. M. Hammel, and J. F. Heagy, Phys. Rev. Lett. 72, 3498 (1994).
[CrossRef] [PubMed]

P. W. Hammel, N. Platt, S. M. Hammel, J. F. Heagy, and B. D. Lee, Phys. Rev. Lett. 73, 1095 (1994).
[CrossRef] [PubMed]

R. G. Harrison, J. S. Uppal, A. Johnstone, and J. V. Moloney, Phys. Rev. Lett. 65, 167 (1990).
[CrossRef] [PubMed]

Other (1)

G. P. Agrawal, Nonlinear Fiber Optics, 2nd ed. (Academic, 1995).

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 (4)

Fig. 1
Fig. 1

Schematic diagram of the experimental setup. F.I., Faraday isolator; N.D., neutral-density filter; D1, D2, D3, photodetectors; B.S., beam splitter; L1, L2, L4, L5, focusing lenses; L3, 10 × microscope lens.

Fig. 2
Fig. 2

Experimentally obtained time series of SBS near the threshold, depending on the pump power: (a), (b), and (c) are the SBS signals for input powers of 37.0, 32.2, and 29.1 mW , respectively; (d) is the enlarged time series of the small dotted box in (c); (e) is the signal of the pump beam corresponding to (d).

Fig. 3
Fig. 3

Time-delayed phase portraits of the backscattered SBS signals for τ = 2.0 μ s ; average pump power of (a) 29.1 and (b) 37.0 mW .

Fig. 4
Fig. 4

Probability distribution of laminar phases versus laminar length. Circles, experimental results; solid line, slope of 3 2 .

Metrics