Abstract

We investigate modulational instability in normally dispersive highly birefringent fibers. By means of a technique based on a two-frequency pump field we are able to provide evidence for strong nonlinear dependence of the modulational instability spectra. This dependence manifests itself by the appearance of a nonlinear spectral gap in which modulational instability vanishes.

© 1996 Optical Society of America

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References

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  1. K. Tai, A. Hasegawa, A. Tomita, Phys. Rev. Lett. 56, 135 (1986).
    [CrossRef] [PubMed]
  2. A. L. Berkhoer, V. E. Zakharov, Sov. Phys. JETP 31, 486 (1970).
  3. G. P. Agrawal, Phys. Rev. Lett. 59, 880 (1987).
    [CrossRef] [PubMed]
  4. P. L. Baldeck, R. R. Alfano, G. P. Agrawal, Ultrafast Phenomena VI (Springer-Verlag, Berlin, 1988), pp. 53–55.
    [CrossRef]
  5. J. E. Rothenberg, Phys. Rev. A 42, 682 (1990).
    [CrossRef] [PubMed]
  6. P. D. Drummond, T. A. B. Kennedy, J. M. Dudley, R. Leonhardt, J. D. Harvey, Opt. Commun. 78, 137 (1990).
    [CrossRef]
  7. R. H. Stolen, IEEE J. Quantum Electron. QE-11, 100 (1975).
    [CrossRef]
  8. A. S. Gouveia-Neto, M. E. Faldon, A. S. B. Sombra, P. G. J. Wigley, J. R. Taylor, Opt. Lett. 13, 901 (1988).
    [CrossRef] [PubMed]
  9. H. G. Park, J. D. Park, S. S. Lee, Appl. Opt. 26, 2974 (1987).
    [CrossRef] [PubMed]
  10. E. Seve, P. Tchofo Dinda, G. Millot, M. Remoissenet, J. M. Bibault, M. Haelterman, “Modulation instability and critical regime in a highly birefringent fiber,” (submitted to Phys. Rev. A).

1990 (2)

J. E. Rothenberg, Phys. Rev. A 42, 682 (1990).
[CrossRef] [PubMed]

P. D. Drummond, T. A. B. Kennedy, J. M. Dudley, R. Leonhardt, J. D. Harvey, Opt. Commun. 78, 137 (1990).
[CrossRef]

1988 (1)

1987 (2)

1986 (1)

K. Tai, A. Hasegawa, A. Tomita, Phys. Rev. Lett. 56, 135 (1986).
[CrossRef] [PubMed]

1975 (1)

R. H. Stolen, IEEE J. Quantum Electron. QE-11, 100 (1975).
[CrossRef]

1970 (1)

A. L. Berkhoer, V. E. Zakharov, Sov. Phys. JETP 31, 486 (1970).

Agrawal, G. P.

G. P. Agrawal, Phys. Rev. Lett. 59, 880 (1987).
[CrossRef] [PubMed]

P. L. Baldeck, R. R. Alfano, G. P. Agrawal, Ultrafast Phenomena VI (Springer-Verlag, Berlin, 1988), pp. 53–55.
[CrossRef]

Alfano, R. R.

P. L. Baldeck, R. R. Alfano, G. P. Agrawal, Ultrafast Phenomena VI (Springer-Verlag, Berlin, 1988), pp. 53–55.
[CrossRef]

Baldeck, P. L.

P. L. Baldeck, R. R. Alfano, G. P. Agrawal, Ultrafast Phenomena VI (Springer-Verlag, Berlin, 1988), pp. 53–55.
[CrossRef]

Berkhoer, A. L.

A. L. Berkhoer, V. E. Zakharov, Sov. Phys. JETP 31, 486 (1970).

Bibault, J. M.

E. Seve, P. Tchofo Dinda, G. Millot, M. Remoissenet, J. M. Bibault, M. Haelterman, “Modulation instability and critical regime in a highly birefringent fiber,” (submitted to Phys. Rev. A).

Drummond, P. D.

P. D. Drummond, T. A. B. Kennedy, J. M. Dudley, R. Leonhardt, J. D. Harvey, Opt. Commun. 78, 137 (1990).
[CrossRef]

Dudley, J. M.

P. D. Drummond, T. A. B. Kennedy, J. M. Dudley, R. Leonhardt, J. D. Harvey, Opt. Commun. 78, 137 (1990).
[CrossRef]

Faldon, M. E.

Gouveia-Neto, A. S.

Haelterman, M.

E. Seve, P. Tchofo Dinda, G. Millot, M. Remoissenet, J. M. Bibault, M. Haelterman, “Modulation instability and critical regime in a highly birefringent fiber,” (submitted to Phys. Rev. A).

Harvey, J. D.

P. D. Drummond, T. A. B. Kennedy, J. M. Dudley, R. Leonhardt, J. D. Harvey, Opt. Commun. 78, 137 (1990).
[CrossRef]

Hasegawa, A.

K. Tai, A. Hasegawa, A. Tomita, Phys. Rev. Lett. 56, 135 (1986).
[CrossRef] [PubMed]

Kennedy, T. A. B.

P. D. Drummond, T. A. B. Kennedy, J. M. Dudley, R. Leonhardt, J. D. Harvey, Opt. Commun. 78, 137 (1990).
[CrossRef]

Lee, S. S.

Leonhardt, R.

P. D. Drummond, T. A. B. Kennedy, J. M. Dudley, R. Leonhardt, J. D. Harvey, Opt. Commun. 78, 137 (1990).
[CrossRef]

Millot, G.

E. Seve, P. Tchofo Dinda, G. Millot, M. Remoissenet, J. M. Bibault, M. Haelterman, “Modulation instability and critical regime in a highly birefringent fiber,” (submitted to Phys. Rev. A).

Park, H. G.

Park, J. D.

Remoissenet, M.

E. Seve, P. Tchofo Dinda, G. Millot, M. Remoissenet, J. M. Bibault, M. Haelterman, “Modulation instability and critical regime in a highly birefringent fiber,” (submitted to Phys. Rev. A).

Rothenberg, J. E.

J. E. Rothenberg, Phys. Rev. A 42, 682 (1990).
[CrossRef] [PubMed]

Seve, E.

E. Seve, P. Tchofo Dinda, G. Millot, M. Remoissenet, J. M. Bibault, M. Haelterman, “Modulation instability and critical regime in a highly birefringent fiber,” (submitted to Phys. Rev. A).

Sombra, A. S. B.

Stolen, R. H.

R. H. Stolen, IEEE J. Quantum Electron. QE-11, 100 (1975).
[CrossRef]

Tai, K.

K. Tai, A. Hasegawa, A. Tomita, Phys. Rev. Lett. 56, 135 (1986).
[CrossRef] [PubMed]

Taylor, J. R.

Tchofo Dinda, P.

E. Seve, P. Tchofo Dinda, G. Millot, M. Remoissenet, J. M. Bibault, M. Haelterman, “Modulation instability and critical regime in a highly birefringent fiber,” (submitted to Phys. Rev. A).

Tomita, A.

K. Tai, A. Hasegawa, A. Tomita, Phys. Rev. Lett. 56, 135 (1986).
[CrossRef] [PubMed]

Wigley, P. G. J.

Zakharov, V. E.

A. L. Berkhoer, V. E. Zakharov, Sov. Phys. JETP 31, 486 (1970).

Appl. Opt. (1)

IEEE J. Quantum Electron. (1)

R. H. Stolen, IEEE J. Quantum Electron. QE-11, 100 (1975).
[CrossRef]

Opt. Commun. (1)

P. D. Drummond, T. A. B. Kennedy, J. M. Dudley, R. Leonhardt, J. D. Harvey, Opt. Commun. 78, 137 (1990).
[CrossRef]

Opt. Lett. (1)

Phys. Rev. A (1)

J. E. Rothenberg, Phys. Rev. A 42, 682 (1990).
[CrossRef] [PubMed]

Phys. Rev. Lett. (2)

K. Tai, A. Hasegawa, A. Tomita, Phys. Rev. Lett. 56, 135 (1986).
[CrossRef] [PubMed]

G. P. Agrawal, Phys. Rev. Lett. 59, 880 (1987).
[CrossRef] [PubMed]

Sov. Phys. JETP (1)

A. L. Berkhoer, V. E. Zakharov, Sov. Phys. JETP 31, 486 (1970).

Other (2)

P. L. Baldeck, R. R. Alfano, G. P. Agrawal, Ultrafast Phenomena VI (Springer-Verlag, Berlin, 1988), pp. 53–55.
[CrossRef]

E. Seve, P. Tchofo Dinda, G. Millot, M. Remoissenet, J. M. Bibault, M. Haelterman, “Modulation instability and critical regime in a highly birefringent fiber,” (submitted to Phys. Rev. A).

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Figures (2)

Fig. 1
Fig. 1

Optimum MI gain Gopt) as a function (a) of the input power P in the single-frequency configuration, λ1 = λ2 = 574.745 nm, and (b) of the frequency separation Δν = (ω1ω2)/2π for a given power level of 22 W in the two-frequency configuration.

Fig. 2
Fig. 2

(a) MI frequency Ωopt versus frequency separation Δν = (ω1ω2)/2π as given by the phase-matching conditions in the linear limit (dotted–dashed line) and when nonlinearity is included (solid curves). The dotted curve is obtained from linear stability analysis, and the crosses show the experimental results. (b), (c) Examples of MI spectra measured outside and within the nonlinear gap, respectively.

Equations (2)

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z E j + ( 1 ) j 2 δ t E j + i 1 2 β j tt 2 E j i γ j ( | E j | 2 + 2 3 | E 3 j | 2 ) E j = 0 , j = 1 , 2 ,
δ = δ 0 + ( ω 2 ω 1 ) β ,

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