Abstract

We present the experimental observation of generation of vector dark-soliton pulse trains with terahertz repetition rates in the normal dispersion regime of an optical fiber. The polarization solitons build up from induced cross-phase modulation instability of two orthogonal pumps in a highly birefringent fiber.

© 1998 Optical Society of America

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References

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  1. G. P. Agrawal, Nonlinear Fiber Optics, 2nd ed. (Academic, New York, 1995), Chap. 7.
  2. V. I. Bespalov and V. I. Talanov, Pis’ma Zh. Eksp. Teor. Fiz. 3, 471 (1966) [JETP Lett. 3, 307 (1966)].
  3. K. Tai, A. Hasegawa, and A. Tomita, Phys. Rev. Lett. 56, 135 (1986).
    [CrossRef] [PubMed]
  4. A. Hasegawa, Opt. Lett. 9, 288 (1994).
    [CrossRef]
  5. K. Tai, A. Tomita, J. L. Jewell, and A. Hasegawa, Appl. Phys. Lett. 49, 236 (1986).
    [CrossRef]
  6. A. L. Berkhoer and V. E. Zakharov, Zh. Eksp. Teor. Fiz. 58, 903 (1970) [Sov. Phys. JETP 31, 486 (1970)].
  7. G. P. Agrawal, Phys. Rev. Lett. 59, 880 (1987).
    [CrossRef] [PubMed]
  8. S. Wabnitz, Phys. Rev. A 38, 2018 (1988); S. G. Murdoch, R. Leonhardt, and J. D. Harvey, Opt. Lett. 20, 866 (1995).
    [CrossRef] [PubMed]
  9. J. E. Rothenberg, Phys. Rev. Lett. 64, 813 (1990); Phys. Rev. A 42, 682 (1990); P. D. Drummond, T. A. B. Kennedy, J. M. Dudley, R. Leonhardt, and D. J. Harvey, Opt. Commun. 78, 137 (1990); E. Seve, P. Tchofo-Dinda, G. Millot, M. Remoissenet, J. M. Bilbault, and M. Haelterman, Phys. Rev. A 54, 3519 (1996); E. Lantz, D. Gindre, H. Maillotte, and J. Monneret, J. Opt. Soc. Am. B 14, 116 (1997).
    [CrossRef] [PubMed]
  10. J. E. Rothenberg, Opt. Lett. 16, 18 (1991).
    [CrossRef] [PubMed]
  11. S. Trillo and S. Wabnitz, J. Opt. Soc. Am. B 6, 238 (1989).
    [CrossRef]
  12. Yu. S. Kivshar and B. Luther Davies, Phys. Rep. 298, 81 (1998).
    [CrossRef]
  13. G. Millot, E. Seve, and S. Wabnitz, Phys. Rev. Lett. 79, 661 (1997).
    [CrossRef]
  14. G. Millot, E. Seve, S. Wabnitz, and M. Haelterman, Opt. Lett. 23, 511 (1998); J. Opt. Soc. Am. B 15, 1266 (1998).
    [CrossRef]
  15. Note that terahertz repetition-rate dark-soliton trains can also be generated by injection of dual-pulse or dual-frequency pumps on the same axis of the fiber; see J. E. Rothenberg and H. K. Heinrich, Opt. Lett. 17, 261 (1992); D. L. Hart, A. F. Judy, R. Roy, and J. W. Beletic, Phys. Rev. E 57, 4757 (1998).
    [CrossRef] [PubMed]
  16. Y. S. Kivshar and S. K. Turitsyn, Opt. Lett. 18, 337 (1993).
    [CrossRef] [PubMed]

1998

1997

G. Millot, E. Seve, and S. Wabnitz, Phys. Rev. Lett. 79, 661 (1997).
[CrossRef]

1994

1993

1992

1991

1990

J. E. Rothenberg, Phys. Rev. Lett. 64, 813 (1990); Phys. Rev. A 42, 682 (1990); P. D. Drummond, T. A. B. Kennedy, J. M. Dudley, R. Leonhardt, and D. J. Harvey, Opt. Commun. 78, 137 (1990); E. Seve, P. Tchofo-Dinda, G. Millot, M. Remoissenet, J. M. Bilbault, and M. Haelterman, Phys. Rev. A 54, 3519 (1996); E. Lantz, D. Gindre, H. Maillotte, and J. Monneret, J. Opt. Soc. Am. B 14, 116 (1997).
[CrossRef] [PubMed]

1989

1988

S. Wabnitz, Phys. Rev. A 38, 2018 (1988); S. G. Murdoch, R. Leonhardt, and J. D. Harvey, Opt. Lett. 20, 866 (1995).
[CrossRef] [PubMed]

1987

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

1986

K. Tai, A. Tomita, J. L. Jewell, and A. Hasegawa, Appl. Phys. Lett. 49, 236 (1986).
[CrossRef]

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

1970

A. L. Berkhoer and V. E. Zakharov, Zh. Eksp. Teor. Fiz. 58, 903 (1970) [Sov. Phys. JETP 31, 486 (1970)].

1966

V. I. Bespalov and V. I. Talanov, Pis’ma Zh. Eksp. Teor. Fiz. 3, 471 (1966) [JETP Lett. 3, 307 (1966)].

Agrawal, G. P.

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

G. P. Agrawal, Nonlinear Fiber Optics, 2nd ed. (Academic, New York, 1995), Chap. 7.

Berkhoer, A. L.

A. L. Berkhoer and V. E. Zakharov, Zh. Eksp. Teor. Fiz. 58, 903 (1970) [Sov. Phys. JETP 31, 486 (1970)].

Bespalov, V. I.

V. I. Bespalov and V. I. Talanov, Pis’ma Zh. Eksp. Teor. Fiz. 3, 471 (1966) [JETP Lett. 3, 307 (1966)].

Haelterman, M.

Hasegawa, A.

A. Hasegawa, Opt. Lett. 9, 288 (1994).
[CrossRef]

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

K. Tai, A. Tomita, J. L. Jewell, and A. Hasegawa, Appl. Phys. Lett. 49, 236 (1986).
[CrossRef]

Heinrich, H. K.

Jewell, J. L.

K. Tai, A. Tomita, J. L. Jewell, and A. Hasegawa, Appl. Phys. Lett. 49, 236 (1986).
[CrossRef]

Kivshar, Y. S.

Kivshar, Yu. S.

Yu. S. Kivshar and B. Luther Davies, Phys. Rep. 298, 81 (1998).
[CrossRef]

Luther Davies, B.

Yu. S. Kivshar and B. Luther Davies, Phys. Rep. 298, 81 (1998).
[CrossRef]

Millot, G.

Rothenberg, J. E.

Note that terahertz repetition-rate dark-soliton trains can also be generated by injection of dual-pulse or dual-frequency pumps on the same axis of the fiber; see J. E. Rothenberg and H. K. Heinrich, Opt. Lett. 17, 261 (1992); D. L. Hart, A. F. Judy, R. Roy, and J. W. Beletic, Phys. Rev. E 57, 4757 (1998).
[CrossRef] [PubMed]

J. E. Rothenberg, Opt. Lett. 16, 18 (1991).
[CrossRef] [PubMed]

J. E. Rothenberg, Phys. Rev. Lett. 64, 813 (1990); Phys. Rev. A 42, 682 (1990); P. D. Drummond, T. A. B. Kennedy, J. M. Dudley, R. Leonhardt, and D. J. Harvey, Opt. Commun. 78, 137 (1990); E. Seve, P. Tchofo-Dinda, G. Millot, M. Remoissenet, J. M. Bilbault, and M. Haelterman, Phys. Rev. A 54, 3519 (1996); E. Lantz, D. Gindre, H. Maillotte, and J. Monneret, J. Opt. Soc. Am. B 14, 116 (1997).
[CrossRef] [PubMed]

Seve, E.

Tai, K.

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

K. Tai, A. Tomita, J. L. Jewell, and A. Hasegawa, Appl. Phys. Lett. 49, 236 (1986).
[CrossRef]

Talanov, V. I.

V. I. Bespalov and V. I. Talanov, Pis’ma Zh. Eksp. Teor. Fiz. 3, 471 (1966) [JETP Lett. 3, 307 (1966)].

Tomita, A.

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

K. Tai, A. Tomita, J. L. Jewell, and A. Hasegawa, Appl. Phys. Lett. 49, 236 (1986).
[CrossRef]

Trillo, S.

Turitsyn, S. K.

Wabnitz, S.

G. Millot, E. Seve, S. Wabnitz, and M. Haelterman, Opt. Lett. 23, 511 (1998); J. Opt. Soc. Am. B 15, 1266 (1998).
[CrossRef]

G. Millot, E. Seve, and S. Wabnitz, Phys. Rev. Lett. 79, 661 (1997).
[CrossRef]

S. Trillo and S. Wabnitz, J. Opt. Soc. Am. B 6, 238 (1989).
[CrossRef]

S. Wabnitz, Phys. Rev. A 38, 2018 (1988); S. G. Murdoch, R. Leonhardt, and J. D. Harvey, Opt. Lett. 20, 866 (1995).
[CrossRef] [PubMed]

Zakharov, V. E.

A. L. Berkhoer and V. E. Zakharov, Zh. Eksp. Teor. Fiz. 58, 903 (1970) [Sov. Phys. JETP 31, 486 (1970)].

Appl. Phys. Lett.

K. Tai, A. Tomita, J. L. Jewell, and A. Hasegawa, Appl. Phys. Lett. 49, 236 (1986).
[CrossRef]

J. Opt. Soc. Am. B

Opt. Lett.

Phys. Rep.

Yu. S. Kivshar and B. Luther Davies, Phys. Rep. 298, 81 (1998).
[CrossRef]

Phys. Rev. A

S. Wabnitz, Phys. Rev. A 38, 2018 (1988); S. G. Murdoch, R. Leonhardt, and J. D. Harvey, Opt. Lett. 20, 866 (1995).
[CrossRef] [PubMed]

Phys. Rev. Lett.

J. E. Rothenberg, Phys. Rev. Lett. 64, 813 (1990); Phys. Rev. A 42, 682 (1990); P. D. Drummond, T. A. B. Kennedy, J. M. Dudley, R. Leonhardt, and D. J. Harvey, Opt. Commun. 78, 137 (1990); E. Seve, P. Tchofo-Dinda, G. Millot, M. Remoissenet, J. M. Bilbault, and M. Haelterman, Phys. Rev. A 54, 3519 (1996); E. Lantz, D. Gindre, H. Maillotte, and J. Monneret, J. Opt. Soc. Am. B 14, 116 (1997).
[CrossRef] [PubMed]

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

G. Millot, E. Seve, and S. Wabnitz, Phys. Rev. Lett. 79, 661 (1997).
[CrossRef]

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

Pis’ma Zh. Eksp. Teor. Fiz.

V. I. Bespalov and V. I. Talanov, Pis’ma Zh. Eksp. Teor. Fiz. 3, 471 (1966) [JETP Lett. 3, 307 (1966)].

Zh. Eksp. Teor. Fiz.

A. L. Berkhoer and V. E. Zakharov, Zh. Eksp. Teor. Fiz. 58, 903 (1970) [Sov. Phys. JETP 31, 486 (1970)].

Other

G. P. Agrawal, Nonlinear Fiber Optics, 2nd ed. (Academic, New York, 1995), Chap. 7.

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Figures (3)

Fig. 1
Fig. 1

Theoretical time dependence of output powers (solid curves) and phases (dashed curves) of cw dark-soliton trains in the slow and the fast fiber axes.

Fig. 2
Fig. 2

(a), (b) Theoretical pulse (averaged) and (c), (d) experimental spectra from the slow and the fast axes, with a pump power of 56 W on each axis.

Fig. 3
Fig. 3

(a), (b) Theoretical and (c), (d) experimental autocorrelation traces from the slow and fast fiber axes, with the same input conditions as in Fig. 2.

Equations (2)

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iuz+iδ2ut-k22ut2+Ru2+σv2u=0,  ivz-iδ2vt-k22vt2+Rv2+σu2v=0.
u,v=U,Vexp±iδt2k-iδ2z8k,

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