Abstract

The phase-sensitive nature of polarization modulation instability has been demonstrated in optical fibers whose birefringence has been manipulated to generate phase mismatches. Quasi-phase-matched modulation instability has been demonstrated, and the gain of the quasi-phase-matched sidebands has been investigated. The results are in good agreement with experiment.

© 1997 Optical Society of America

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References

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  1. K. Tai, A. Hasegawa, and A. Tomita, Phys. Rev. Lett. 56, 135 (1986).
    [CrossRef] [PubMed]
  2. J. E. Rothenburg, Phys. Rev. A 42, 682 (1990).
    [CrossRef]
  3. P. Drummond, T. A. B. Kennedy, J. M. Dudley, R. Leonhardt, and J. D. Harvey, Opt. Commun. 78, 137 (1990).
    [CrossRef]
  4. S. Wabnitz, Phys. Rev. A 38, 2018 (1988).
    [CrossRef] [PubMed]
  5. S. G. Murdoch, R. Leonhardt, and J. D. Harvey, Opt. Lett. 20, 866 (1995).
    [CrossRef] [PubMed]
  6. J. D. Bierlein, D. B. Laubacher, J. B. Brown, and C. J. van der Poel, Appl. Phys. Lett. 56, 1725 (1990).
    [CrossRef]
  7. S. G. Murdoch, R. Leonhardt, and J. D. Harvey, “Quasi-phase matching in an optical fiber with periodic birefringence,” J. Opt. Soc. Am. B (to be published).
  8. G. Cappellini and S. Trillo, Opt. Lett. 16, 895 (1991).
    [CrossRef] [PubMed]
  9. S. G. Murdoch, R. Leonhardt, and J. D. Harvey, Opt. Commun. 130, 25 (1995).
    [CrossRef]

1995 (2)

S. G. Murdoch, R. Leonhardt, and J. D. Harvey, Opt. Commun. 130, 25 (1995).
[CrossRef]

S. G. Murdoch, R. Leonhardt, and J. D. Harvey, Opt. Lett. 20, 866 (1995).
[CrossRef] [PubMed]

1991 (1)

1990 (3)

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

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

J. D. Bierlein, D. B. Laubacher, J. B. Brown, and C. J. van der Poel, Appl. Phys. Lett. 56, 1725 (1990).
[CrossRef]

1988 (1)

S. Wabnitz, Phys. Rev. A 38, 2018 (1988).
[CrossRef] [PubMed]

1986 (1)

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

Bierlein, J. D.

J. D. Bierlein, D. B. Laubacher, J. B. Brown, and C. J. van der Poel, Appl. Phys. Lett. 56, 1725 (1990).
[CrossRef]

Brown, J. B.

J. D. Bierlein, D. B. Laubacher, J. B. Brown, and C. J. van der Poel, Appl. Phys. Lett. 56, 1725 (1990).
[CrossRef]

Cappellini, G.

Drummond, P.

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

Dudley, J. M.

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

Harvey, J. D.

S. G. Murdoch, R. Leonhardt, and J. D. Harvey, Opt. Lett. 20, 866 (1995).
[CrossRef] [PubMed]

S. G. Murdoch, R. Leonhardt, and J. D. Harvey, Opt. Commun. 130, 25 (1995).
[CrossRef]

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

S. G. Murdoch, R. Leonhardt, and J. D. Harvey, “Quasi-phase matching in an optical fiber with periodic birefringence,” J. Opt. Soc. Am. B (to be published).

Hasegawa, A.

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

Kennedy, T. A. B.

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

Laubacher, D. B.

J. D. Bierlein, D. B. Laubacher, J. B. Brown, and C. J. van der Poel, Appl. Phys. Lett. 56, 1725 (1990).
[CrossRef]

Leonhardt, R.

S. G. Murdoch, R. Leonhardt, and J. D. Harvey, Opt. Commun. 130, 25 (1995).
[CrossRef]

S. G. Murdoch, R. Leonhardt, and J. D. Harvey, Opt. Lett. 20, 866 (1995).
[CrossRef] [PubMed]

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

S. G. Murdoch, R. Leonhardt, and J. D. Harvey, “Quasi-phase matching in an optical fiber with periodic birefringence,” J. Opt. Soc. Am. B (to be published).

Murdoch, S. G.

S. G. Murdoch, R. Leonhardt, and J. D. Harvey, Opt. Lett. 20, 866 (1995).
[CrossRef] [PubMed]

S. G. Murdoch, R. Leonhardt, and J. D. Harvey, Opt. Commun. 130, 25 (1995).
[CrossRef]

S. G. Murdoch, R. Leonhardt, and J. D. Harvey, “Quasi-phase matching in an optical fiber with periodic birefringence,” J. Opt. Soc. Am. B (to be published).

Rothenburg, J. E.

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

Tai, K.

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

Tomita, A.

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

Trillo, S.

van der Poel, C. J.

J. D. Bierlein, D. B. Laubacher, J. B. Brown, and C. J. van der Poel, Appl. Phys. Lett. 56, 1725 (1990).
[CrossRef]

Wabnitz, S.

S. Wabnitz, Phys. Rev. A 38, 2018 (1988).
[CrossRef] [PubMed]

Appl. Phys. Lett. (1)

J. D. Bierlein, D. B. Laubacher, J. B. Brown, and C. J. van der Poel, Appl. Phys. Lett. 56, 1725 (1990).
[CrossRef]

Opt. Commun. (2)

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

S. G. Murdoch, R. Leonhardt, and J. D. Harvey, Opt. Commun. 130, 25 (1995).
[CrossRef]

Opt. Lett. (2)

Phys. Rev. A (2)

S. Wabnitz, Phys. Rev. A 38, 2018 (1988).
[CrossRef] [PubMed]

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

Phys. Rev. Lett. (1)

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

Other (1)

S. G. Murdoch, R. Leonhardt, and J. D. Harvey, “Quasi-phase matching in an optical fiber with periodic birefringence,” J. Opt. Soc. Am. B (to be published).

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Figures (3)

Fig. 1
Fig. 1

Fiber winding geometries.

Fig. 2
Fig. 2

Sideband power as a function of the straight length L. The input power was 540  W on the slow axis of the fiber. The diameters of the two spools were (a) 2.5  cm and (b) 1.6  cm.

Fig. 3
Fig. 3

Spectra of light exiting 5  m of fiber wound in the configuration shown in Fig.  1(A) for a range of straight lengths l1. The spool diameter was 16.1  mm, and the input power was 700  W on the slow axis of the fiber. On the right of each spectrum is the predicted phase evolution for the n=0 sideband for that case.

Equations (4)

Equations on this page are rendered with MathJax. Learn more.

Ωn=[1β22δβl2l1+l2+2nπl1+l2+23RP]1/2,
gz=2/3RP sinϕ,
dϕdz=β2ω2-2δβz-RP+RP cosϕ.
T1Γ1+T2Γ2tan2ϕ02+Γ1Γ2-Γ2Γ1T1T2×tanϕ02+Γ1T1+Γ2T2=0,

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