Abstract

By means of a dynamic Bragg grating obtained through cross-phase modulation with a beating wave in a highly birefringent fiber, we perform a detailed experimental study of Bragg modulational instability.

© 2001 Optical Society of America

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References

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  1. C. Martijn de Sterke and J. E. Sipe, in Progress in Optics XXXIII, E. Wolf, ed. (Elsevier, Amsterdam, 1994), Chap.  III, pp. 203–260.
    [CrossRef]
  2. B. J. Eggleton, R. E. Slusher, C. Martijn de Sterke, P. A. Krug, and J. E. Sipe, Phys. Rev. Lett. 76, 1627 (1998).
    [CrossRef]
  3. B. J. Eggleton, C. Martijn de Sterke, R. E. Slusher, and J. E. Sipe, Electron. Lett. 32, 2341 (1996).
    [CrossRef]
  4. B. J. Eggleton, C. Martijn de Sterke, A. B. Aceves, J. E. Sipe, T. A. Strasser, and R. E. Slusher, Opt. Commun. 194, 267 (1998).
    [CrossRef]
  5. C. Martijn de Sterke, J. Opt. Soc. Am. B 15, 2660 (1998).
    [CrossRef]
  6. P. Tchofo Dinda, G. Millot, E. Seve, and M. Haelterman, Opt. Lett. 21, 1640 (1996).
    [CrossRef] [PubMed]

1998 (3)

B. J. Eggleton, R. E. Slusher, C. Martijn de Sterke, P. A. Krug, and J. E. Sipe, Phys. Rev. Lett. 76, 1627 (1998).
[CrossRef]

B. J. Eggleton, C. Martijn de Sterke, A. B. Aceves, J. E. Sipe, T. A. Strasser, and R. E. Slusher, Opt. Commun. 194, 267 (1998).
[CrossRef]

C. Martijn de Sterke, J. Opt. Soc. Am. B 15, 2660 (1998).
[CrossRef]

1996 (2)

P. Tchofo Dinda, G. Millot, E. Seve, and M. Haelterman, Opt. Lett. 21, 1640 (1996).
[CrossRef] [PubMed]

B. J. Eggleton, C. Martijn de Sterke, R. E. Slusher, and J. E. Sipe, Electron. Lett. 32, 2341 (1996).
[CrossRef]

Aceves, A. B.

B. J. Eggleton, C. Martijn de Sterke, A. B. Aceves, J. E. Sipe, T. A. Strasser, and R. E. Slusher, Opt. Commun. 194, 267 (1998).
[CrossRef]

Eggleton, B. J.

B. J. Eggleton, C. Martijn de Sterke, A. B. Aceves, J. E. Sipe, T. A. Strasser, and R. E. Slusher, Opt. Commun. 194, 267 (1998).
[CrossRef]

B. J. Eggleton, R. E. Slusher, C. Martijn de Sterke, P. A. Krug, and J. E. Sipe, Phys. Rev. Lett. 76, 1627 (1998).
[CrossRef]

B. J. Eggleton, C. Martijn de Sterke, R. E. Slusher, and J. E. Sipe, Electron. Lett. 32, 2341 (1996).
[CrossRef]

Haelterman, M.

Krug, P. A.

B. J. Eggleton, R. E. Slusher, C. Martijn de Sterke, P. A. Krug, and J. E. Sipe, Phys. Rev. Lett. 76, 1627 (1998).
[CrossRef]

Martijn de Sterke, C.

B. J. Eggleton, C. Martijn de Sterke, A. B. Aceves, J. E. Sipe, T. A. Strasser, and R. E. Slusher, Opt. Commun. 194, 267 (1998).
[CrossRef]

B. J. Eggleton, R. E. Slusher, C. Martijn de Sterke, P. A. Krug, and J. E. Sipe, Phys. Rev. Lett. 76, 1627 (1998).
[CrossRef]

C. Martijn de Sterke, J. Opt. Soc. Am. B 15, 2660 (1998).
[CrossRef]

B. J. Eggleton, C. Martijn de Sterke, R. E. Slusher, and J. E. Sipe, Electron. Lett. 32, 2341 (1996).
[CrossRef]

C. Martijn de Sterke and J. E. Sipe, in Progress in Optics XXXIII, E. Wolf, ed. (Elsevier, Amsterdam, 1994), Chap.  III, pp. 203–260.
[CrossRef]

Millot, G.

Seve, E.

Sipe, J. E.

B. J. Eggleton, R. E. Slusher, C. Martijn de Sterke, P. A. Krug, and J. E. Sipe, Phys. Rev. Lett. 76, 1627 (1998).
[CrossRef]

B. J. Eggleton, C. Martijn de Sterke, A. B. Aceves, J. E. Sipe, T. A. Strasser, and R. E. Slusher, Opt. Commun. 194, 267 (1998).
[CrossRef]

B. J. Eggleton, C. Martijn de Sterke, R. E. Slusher, and J. E. Sipe, Electron. Lett. 32, 2341 (1996).
[CrossRef]

C. Martijn de Sterke and J. E. Sipe, in Progress in Optics XXXIII, E. Wolf, ed. (Elsevier, Amsterdam, 1994), Chap.  III, pp. 203–260.
[CrossRef]

Slusher, R. E.

B. J. Eggleton, R. E. Slusher, C. Martijn de Sterke, P. A. Krug, and J. E. Sipe, Phys. Rev. Lett. 76, 1627 (1998).
[CrossRef]

B. J. Eggleton, C. Martijn de Sterke, A. B. Aceves, J. E. Sipe, T. A. Strasser, and R. E. Slusher, Opt. Commun. 194, 267 (1998).
[CrossRef]

B. J. Eggleton, C. Martijn de Sterke, R. E. Slusher, and J. E. Sipe, Electron. Lett. 32, 2341 (1996).
[CrossRef]

Strasser, T. A.

B. J. Eggleton, C. Martijn de Sterke, A. B. Aceves, J. E. Sipe, T. A. Strasser, and R. E. Slusher, Opt. Commun. 194, 267 (1998).
[CrossRef]

Tchofo Dinda, P.

Electron. Lett. (1)

B. J. Eggleton, C. Martijn de Sterke, R. E. Slusher, and J. E. Sipe, Electron. Lett. 32, 2341 (1996).
[CrossRef]

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

Opt. Commun. (1)

B. J. Eggleton, C. Martijn de Sterke, A. B. Aceves, J. E. Sipe, T. A. Strasser, and R. E. Slusher, Opt. Commun. 194, 267 (1998).
[CrossRef]

Opt. Lett. (1)

Phys. Rev. Lett. (1)

B. J. Eggleton, R. E. Slusher, C. Martijn de Sterke, P. A. Krug, and J. E. Sipe, Phys. Rev. Lett. 76, 1627 (1998).
[CrossRef]

Other (1)

C. Martijn de Sterke and J. E. Sipe, in Progress in Optics XXXIII, E. Wolf, ed. (Elsevier, Amsterdam, 1994), Chap.  III, pp. 203–260.
[CrossRef]

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Figures (3)

Fig. 1
Fig. 1

Dispersion relation of the dynamic Bragg grating for the fiber and wave parameters given in the text. Solid curves, r1; dashed curves, r1.

Fig. 2
Fig. 2

Theoretical Bragg MI gain spectra for P=15 W and values of r shown.

Fig. 3
Fig. 3

(a) Experimental Bragg MI spectrum obtained for ω=-0.8 THz. (b) Optimal modulation frequency Ωopt versus frequency detuning ω. The solid curve was calculated from linear stability analysis, and the crosses are the experimental measurements.

Equations (9)

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Δnt=2/3n2a2/2cos2 Ωt,
Ez=-i2β22Et2+iγΔntE+iγE2E,
Ez,t=Fz,texpi-Ωt+Kz+Bz,texpiΩt+Kz,
Fz=-i2β22Ft2-Ωβ2Ft+iκB+iγF2+2B2F,
Bz=-i2β22Bt2+Ωβ2Bt+iκF+iγB2+2F2B,
Fz,t=A+expiβz-ωt,
Bz,t=A-expiβz-ωt,
β=12β2ω2+κ2r+1r+3γP2,
ω=κ2 Ωβ2r-1r+γP2 Ωβ2r2-1r2+1,

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