Abstract

We demonstrate that the use of fiber gratings to reverse periodically the pulse chirp in transmission links allows us to produce stable chirped optical solitons with fast-decaying tails. The interaction between neighboring pulses is reduced from that of the usual soliton system as a result of pulse chirping and strong confinement, making possible dense information packing. Such a pulse is an attractive candidate for use as an information carrier in optical transmission systems with ultralarge capacities of approximately 100 Gbits/s.

© 1998 Optical Society of America

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  1. M. Suzuki, I. Morita, N. Edagawa, S. Yamamoto, H. Taga, and S. Akiba, Electron. Lett. 31, 2027 (1995).
    [CrossRef]
  2. N. Smith, F. M. Knox, N. J. Doran, K. J. Blow, and I. Bennion, Electron. Lett. 32, 55 (1996); I. Gabitov and S. K. Turitsyn, Opt. Lett. 21, 327 (1996); T. Georges and B. Charbonnier, IEEE Photon. Technol. Lett. 9, 127 (1997); M. Matsumoto and H. A. Haus, IEEE Photon. Technol. Lett. 9, 785 (1997); E. A. Golovchenko, A. N. Pilipetskii, and C. R. Menyuk, Opt. Lett. 22, 793 (1997); T.-S. Yang and W. L. Kath, Opt. Lett. 22, 985 (1997).
    [CrossRef] [PubMed]
  3. S. K. Turitsyn, JETP Lett. 65, 845 (1997); E. Shapiro and S. K. Turitsyn, Opt. Lett. 22, 1544 (1997).
    [CrossRef]
  4. A. Hasegawa, Y. Kodama, and A. Maruta, Opt. Fiber Technol. 3, 197 (1997).
    [CrossRef]
  5. S. Kumar and A. Hasegawa, Opt. Lett. 22, 372 (1997).
    [CrossRef] [PubMed]
  6. R. Kashyap, Opt. Fiber Technol. 1, 17 (1994); R. Kashyap, S. V. Chernikov, P. F. McKee, and J. R. Taylor, Electron. Lett. 30, 1078 (1994).
    [CrossRef]
  7. A. B. Grudinin and I. A. Goncharenko, Electron. Lett. 32, 1602 (1996).
    [CrossRef]
  8. M. J. Cole, H. Geiger, R. I. Laming, S. Y. Set, M. N. Zervas, W. H. Loh, and V. Gusmeroli, Electron. Lett. 33, 70 (1997).
    [CrossRef]

1997 (4)

S. K. Turitsyn, JETP Lett. 65, 845 (1997); E. Shapiro and S. K. Turitsyn, Opt. Lett. 22, 1544 (1997).
[CrossRef]

A. Hasegawa, Y. Kodama, and A. Maruta, Opt. Fiber Technol. 3, 197 (1997).
[CrossRef]

S. Kumar and A. Hasegawa, Opt. Lett. 22, 372 (1997).
[CrossRef] [PubMed]

M. J. Cole, H. Geiger, R. I. Laming, S. Y. Set, M. N. Zervas, W. H. Loh, and V. Gusmeroli, Electron. Lett. 33, 70 (1997).
[CrossRef]

1996 (2)

A. B. Grudinin and I. A. Goncharenko, Electron. Lett. 32, 1602 (1996).
[CrossRef]

N. Smith, F. M. Knox, N. J. Doran, K. J. Blow, and I. Bennion, Electron. Lett. 32, 55 (1996); I. Gabitov and S. K. Turitsyn, Opt. Lett. 21, 327 (1996); T. Georges and B. Charbonnier, IEEE Photon. Technol. Lett. 9, 127 (1997); M. Matsumoto and H. A. Haus, IEEE Photon. Technol. Lett. 9, 785 (1997); E. A. Golovchenko, A. N. Pilipetskii, and C. R. Menyuk, Opt. Lett. 22, 793 (1997); T.-S. Yang and W. L. Kath, Opt. Lett. 22, 985 (1997).
[CrossRef] [PubMed]

1995 (1)

M. Suzuki, I. Morita, N. Edagawa, S. Yamamoto, H. Taga, and S. Akiba, Electron. Lett. 31, 2027 (1995).
[CrossRef]

1994 (1)

R. Kashyap, Opt. Fiber Technol. 1, 17 (1994); R. Kashyap, S. V. Chernikov, P. F. McKee, and J. R. Taylor, Electron. Lett. 30, 1078 (1994).
[CrossRef]

Akiba, S.

M. Suzuki, I. Morita, N. Edagawa, S. Yamamoto, H. Taga, and S. Akiba, Electron. Lett. 31, 2027 (1995).
[CrossRef]

Bennion, I.

N. Smith, F. M. Knox, N. J. Doran, K. J. Blow, and I. Bennion, Electron. Lett. 32, 55 (1996); I. Gabitov and S. K. Turitsyn, Opt. Lett. 21, 327 (1996); T. Georges and B. Charbonnier, IEEE Photon. Technol. Lett. 9, 127 (1997); M. Matsumoto and H. A. Haus, IEEE Photon. Technol. Lett. 9, 785 (1997); E. A. Golovchenko, A. N. Pilipetskii, and C. R. Menyuk, Opt. Lett. 22, 793 (1997); T.-S. Yang and W. L. Kath, Opt. Lett. 22, 985 (1997).
[CrossRef] [PubMed]

Blow, K. J.

N. Smith, F. M. Knox, N. J. Doran, K. J. Blow, and I. Bennion, Electron. Lett. 32, 55 (1996); I. Gabitov and S. K. Turitsyn, Opt. Lett. 21, 327 (1996); T. Georges and B. Charbonnier, IEEE Photon. Technol. Lett. 9, 127 (1997); M. Matsumoto and H. A. Haus, IEEE Photon. Technol. Lett. 9, 785 (1997); E. A. Golovchenko, A. N. Pilipetskii, and C. R. Menyuk, Opt. Lett. 22, 793 (1997); T.-S. Yang and W. L. Kath, Opt. Lett. 22, 985 (1997).
[CrossRef] [PubMed]

Cole, M. J.

M. J. Cole, H. Geiger, R. I. Laming, S. Y. Set, M. N. Zervas, W. H. Loh, and V. Gusmeroli, Electron. Lett. 33, 70 (1997).
[CrossRef]

Doran, N. J.

N. Smith, F. M. Knox, N. J. Doran, K. J. Blow, and I. Bennion, Electron. Lett. 32, 55 (1996); I. Gabitov and S. K. Turitsyn, Opt. Lett. 21, 327 (1996); T. Georges and B. Charbonnier, IEEE Photon. Technol. Lett. 9, 127 (1997); M. Matsumoto and H. A. Haus, IEEE Photon. Technol. Lett. 9, 785 (1997); E. A. Golovchenko, A. N. Pilipetskii, and C. R. Menyuk, Opt. Lett. 22, 793 (1997); T.-S. Yang and W. L. Kath, Opt. Lett. 22, 985 (1997).
[CrossRef] [PubMed]

Edagawa, N.

M. Suzuki, I. Morita, N. Edagawa, S. Yamamoto, H. Taga, and S. Akiba, Electron. Lett. 31, 2027 (1995).
[CrossRef]

Geiger, H.

M. J. Cole, H. Geiger, R. I. Laming, S. Y. Set, M. N. Zervas, W. H. Loh, and V. Gusmeroli, Electron. Lett. 33, 70 (1997).
[CrossRef]

Goncharenko, I. A.

A. B. Grudinin and I. A. Goncharenko, Electron. Lett. 32, 1602 (1996).
[CrossRef]

Grudinin, A. B.

A. B. Grudinin and I. A. Goncharenko, Electron. Lett. 32, 1602 (1996).
[CrossRef]

Gusmeroli, V.

M. J. Cole, H. Geiger, R. I. Laming, S. Y. Set, M. N. Zervas, W. H. Loh, and V. Gusmeroli, Electron. Lett. 33, 70 (1997).
[CrossRef]

Hasegawa, A.

A. Hasegawa, Y. Kodama, and A. Maruta, Opt. Fiber Technol. 3, 197 (1997).
[CrossRef]

S. Kumar and A. Hasegawa, Opt. Lett. 22, 372 (1997).
[CrossRef] [PubMed]

Kashyap, R.

R. Kashyap, Opt. Fiber Technol. 1, 17 (1994); R. Kashyap, S. V. Chernikov, P. F. McKee, and J. R. Taylor, Electron. Lett. 30, 1078 (1994).
[CrossRef]

Knox, F. M.

N. Smith, F. M. Knox, N. J. Doran, K. J. Blow, and I. Bennion, Electron. Lett. 32, 55 (1996); I. Gabitov and S. K. Turitsyn, Opt. Lett. 21, 327 (1996); T. Georges and B. Charbonnier, IEEE Photon. Technol. Lett. 9, 127 (1997); M. Matsumoto and H. A. Haus, IEEE Photon. Technol. Lett. 9, 785 (1997); E. A. Golovchenko, A. N. Pilipetskii, and C. R. Menyuk, Opt. Lett. 22, 793 (1997); T.-S. Yang and W. L. Kath, Opt. Lett. 22, 985 (1997).
[CrossRef] [PubMed]

Kodama, Y.

A. Hasegawa, Y. Kodama, and A. Maruta, Opt. Fiber Technol. 3, 197 (1997).
[CrossRef]

Kumar, S.

Laming, R. I.

M. J. Cole, H. Geiger, R. I. Laming, S. Y. Set, M. N. Zervas, W. H. Loh, and V. Gusmeroli, Electron. Lett. 33, 70 (1997).
[CrossRef]

Loh, W. H.

M. J. Cole, H. Geiger, R. I. Laming, S. Y. Set, M. N. Zervas, W. H. Loh, and V. Gusmeroli, Electron. Lett. 33, 70 (1997).
[CrossRef]

Maruta, A.

A. Hasegawa, Y. Kodama, and A. Maruta, Opt. Fiber Technol. 3, 197 (1997).
[CrossRef]

Morita, I.

M. Suzuki, I. Morita, N. Edagawa, S. Yamamoto, H. Taga, and S. Akiba, Electron. Lett. 31, 2027 (1995).
[CrossRef]

Set, S. Y.

M. J. Cole, H. Geiger, R. I. Laming, S. Y. Set, M. N. Zervas, W. H. Loh, and V. Gusmeroli, Electron. Lett. 33, 70 (1997).
[CrossRef]

Smith, N.

N. Smith, F. M. Knox, N. J. Doran, K. J. Blow, and I. Bennion, Electron. Lett. 32, 55 (1996); I. Gabitov and S. K. Turitsyn, Opt. Lett. 21, 327 (1996); T. Georges and B. Charbonnier, IEEE Photon. Technol. Lett. 9, 127 (1997); M. Matsumoto and H. A. Haus, IEEE Photon. Technol. Lett. 9, 785 (1997); E. A. Golovchenko, A. N. Pilipetskii, and C. R. Menyuk, Opt. Lett. 22, 793 (1997); T.-S. Yang and W. L. Kath, Opt. Lett. 22, 985 (1997).
[CrossRef] [PubMed]

Suzuki, M.

M. Suzuki, I. Morita, N. Edagawa, S. Yamamoto, H. Taga, and S. Akiba, Electron. Lett. 31, 2027 (1995).
[CrossRef]

Taga, H.

M. Suzuki, I. Morita, N. Edagawa, S. Yamamoto, H. Taga, and S. Akiba, Electron. Lett. 31, 2027 (1995).
[CrossRef]

Turitsyn, S. K.

S. K. Turitsyn, JETP Lett. 65, 845 (1997); E. Shapiro and S. K. Turitsyn, Opt. Lett. 22, 1544 (1997).
[CrossRef]

Yamamoto, S.

M. Suzuki, I. Morita, N. Edagawa, S. Yamamoto, H. Taga, and S. Akiba, Electron. Lett. 31, 2027 (1995).
[CrossRef]

Zervas, M. N.

M. J. Cole, H. Geiger, R. I. Laming, S. Y. Set, M. N. Zervas, W. H. Loh, and V. Gusmeroli, Electron. Lett. 33, 70 (1997).
[CrossRef]

Electron. Lett. (4)

M. Suzuki, I. Morita, N. Edagawa, S. Yamamoto, H. Taga, and S. Akiba, Electron. Lett. 31, 2027 (1995).
[CrossRef]

N. Smith, F. M. Knox, N. J. Doran, K. J. Blow, and I. Bennion, Electron. Lett. 32, 55 (1996); I. Gabitov and S. K. Turitsyn, Opt. Lett. 21, 327 (1996); T. Georges and B. Charbonnier, IEEE Photon. Technol. Lett. 9, 127 (1997); M. Matsumoto and H. A. Haus, IEEE Photon. Technol. Lett. 9, 785 (1997); E. A. Golovchenko, A. N. Pilipetskii, and C. R. Menyuk, Opt. Lett. 22, 793 (1997); T.-S. Yang and W. L. Kath, Opt. Lett. 22, 985 (1997).
[CrossRef] [PubMed]

A. B. Grudinin and I. A. Goncharenko, Electron. Lett. 32, 1602 (1996).
[CrossRef]

M. J. Cole, H. Geiger, R. I. Laming, S. Y. Set, M. N. Zervas, W. H. Loh, and V. Gusmeroli, Electron. Lett. 33, 70 (1997).
[CrossRef]

JETP Lett. (1)

S. K. Turitsyn, JETP Lett. 65, 845 (1997); E. Shapiro and S. K. Turitsyn, Opt. Lett. 22, 1544 (1997).
[CrossRef]

Opt. Fiber Technol. (2)

A. Hasegawa, Y. Kodama, and A. Maruta, Opt. Fiber Technol. 3, 197 (1997).
[CrossRef]

R. Kashyap, Opt. Fiber Technol. 1, 17 (1994); R. Kashyap, S. V. Chernikov, P. F. McKee, and J. R. Taylor, Electron. Lett. 30, 1078 (1994).
[CrossRef]

Opt. Lett. (1)

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Figures (4)

Fig. 1
Fig. 1

Comparison of the evolution of (top) the soliton chirp and (bottom) the pulse width found by direct simu-lation of the partial differential equation (PDE) and by solution of ordinary differential equation  (1).

Fig. 2
Fig. 2

Evolution of the chirped soliton during one compensation period.

Fig. 3
Fig. 3

Shape of the asymptotic chirped pulse (shown on a logarithmic scale by a solid curve) formed in a system with gratings, compared with sech solitons with the same peak power (short-dashed curve) and with the same pulse width (long-dashed curve). Right-hand inset, solitons on the conventional scale. Left-hand inset, the power enhancement plotted for the chirped pulse and the sech soliton with the same width and the same path-average dispersion.

Fig. 4
Fig. 4

Interaction of two chirped solitons with Gaussian decay in a system with gratings. The initial separation is 2.5 soliton widths.

Equations (1)

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Ψ z ,   t = Q t / T T exp i M T t 2 + i λ ,   d T d z = 4 d z M ,   d M d z = C 1 d T 3 - c z C 2 T 2 ,

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