Abstract

Soliton propagation in a cascaded dispersion-managed optical amplifier system with zero net dispersion is examined. We present a qualitative physical explanation for the recently discovered fact that a soliton with finite energy can propagate down a fiber line with zero or normal average dispersion. We describe a specific practical system for the main properties of such a soliton, namely, the dependence of the soliton power on the pulse width at chirp-free points and the soliton average energy and width at chirp-free points as functions of the dispersion-allocation (strength of the map) parameter.

© 1998 Optical Society of America

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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
  14. L. F. Mollenauer, P. V. Mamyshev, and M. J. Neubelt, in Optical Fiber Communication Conference, Vol. 2 of 1996 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1996), postdeadline paper PD22-1.

1998 (2)

1997 (6)

D. Breuer, F. Kueppers, A. Mattheus, E. G. Shapiro, I. Gabitov, and S. K. Turitsyn, Opt. Lett. 22, 546 (1997).
[CrossRef]

T. Yu, E. A. Golovchenko, A. N. Pilipetskii, and C. R. Menyuk, Opt. Lett. 22, 793 (1997).
[CrossRef] [PubMed]

A. Sahara, H. Kubota, and M. Nakazawa, IEEE Photon. Technol. Lett. 9, 1179 (1997).
[CrossRef]

J. H. B. Nijhof, N. J. Doran, W. Forysiak, and F. M. Knox, Electron. Lett. 33, 1726 (1997).
[CrossRef]

M. Matsumoto and H. A. Haus, IEEE Photon. Technol. Lett. 9, 785 (1997).
[CrossRef]

S. K. Turitsyn, JETP Lett. 65, 845 (1997); E. Shapiro and S. K. Turitsyn, Opt. Lett. 22, 1544 (1997); Phys. Rev. E 56, (1997).
[CrossRef]

1996 (2)

I. Gabitov and S. K. Turitsyn, Opt. Lett. 21, 327 (1996); JETP Lett. 63, 861 (1996).
[CrossRef]

N. Smith, F. M. Knox, N. J. Doran, K. J. Blow, and I. Bennion, Electron. Lett. 32, 55 (1996); N. J. Smith, N. J. Doran, F. M. Knox, and W. Forysiak, Opt. Lett. 21, 1981 (1996).
[CrossRef] [PubMed]

1995 (2)

H. A. Haus, K. Tamura, L. E. Nelson, and E. P. Ippen, IEEE J. Quantum Electron. 31, 591 (1995).
[CrossRef]

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

1986 (1)

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); N. J. Smith, N. J. Doran, F. M. Knox, and W. Forysiak, Opt. Lett. 21, 1981 (1996).
[CrossRef] [PubMed]

Blow, K. J.

N. Smith, F. M. Knox, N. J. Doran, K. J. Blow, and I. Bennion, Electron. Lett. 32, 55 (1996); N. J. Smith, N. J. Doran, F. M. Knox, and W. Forysiak, Opt. Lett. 21, 1981 (1996).
[CrossRef] [PubMed]

Breuer, D.

Doran, N. J.

J. H. B. Nijhof, N. J. Doran, W. Forysiak, and F. M. Knox, Electron. Lett. 33, 1726 (1997).
[CrossRef]

N. Smith, F. M. Knox, N. J. Doran, K. J. Blow, and I. Bennion, Electron. Lett. 32, 55 (1996); N. J. Smith, N. J. Doran, F. M. Knox, and W. Forysiak, Opt. Lett. 21, 1981 (1996).
[CrossRef] [PubMed]

Edagawa, N.

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

Evangelides, S. G.

Forysiak, W.

J. H. B. Nijhof, N. J. Doran, W. Forysiak, and F. M. Knox, Electron. Lett. 33, 1726 (1997).
[CrossRef]

Gabitov, I.

Golovchenko, E. A.

Gordon, J. P.

Haus, H. A.

M. Matsumoto and H. A. Haus, IEEE Photon. Technol. Lett. 9, 785 (1997).
[CrossRef]

H. A. Haus, K. Tamura, L. E. Nelson, and E. P. Ippen, IEEE J. Quantum Electron. 31, 591 (1995).
[CrossRef]

J. P. Gordon and H. A. Haus, Opt. Lett. 11, 665 (1986).
[CrossRef] [PubMed]

Holmes, P.

Ippen, E. P.

H. A. Haus, K. Tamura, L. E. Nelson, and E. P. Ippen, IEEE J. Quantum Electron. 31, 591 (1995).
[CrossRef]

Kath, W. L.

Knox, F. M.

J. H. B. Nijhof, N. J. Doran, W. Forysiak, and F. M. Knox, Electron. Lett. 33, 1726 (1997).
[CrossRef]

N. Smith, F. M. Knox, N. J. Doran, K. J. Blow, and I. Bennion, Electron. Lett. 32, 55 (1996); N. J. Smith, N. J. Doran, F. M. Knox, and W. Forysiak, Opt. Lett. 21, 1981 (1996).
[CrossRef] [PubMed]

Kubota, H.

A. Sahara, H. Kubota, and M. Nakazawa, IEEE Photon. Technol. Lett. 9, 1179 (1997).
[CrossRef]

Kueppers, F.

Kutz, J. N.

Mamyshev, P. V.

L. F. Mollenauer, P. V. Mamyshev, and M. J. Neubelt, in Optical Fiber Communication Conference, Vol. 2 of 1996 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1996), postdeadline paper PD22-1.

Matsumoto, M.

M. Matsumoto and H. A. Haus, IEEE Photon. Technol. Lett. 9, 785 (1997).
[CrossRef]

Mattheus, A.

Menyuk, C. R.

Mollenauer, L. F.

L. F. Mollenauer, P. V. Mamyshev, and M. J. Neubelt, in Optical Fiber Communication Conference, Vol. 2 of 1996 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1996), postdeadline paper PD22-1.

Morita, I.

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

Nakazawa, M.

A. Sahara, H. Kubota, and M. Nakazawa, IEEE Photon. Technol. Lett. 9, 1179 (1997).
[CrossRef]

Nelson, L. E.

H. A. Haus, K. Tamura, L. E. Nelson, and E. P. Ippen, IEEE J. Quantum Electron. 31, 591 (1995).
[CrossRef]

Neubelt, M. J.

L. F. Mollenauer, P. V. Mamyshev, and M. J. Neubelt, in Optical Fiber Communication Conference, Vol. 2 of 1996 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1996), postdeadline paper PD22-1.

Nijhof, J. H. B.

J. H. B. Nijhof, N. J. Doran, W. Forysiak, and F. M. Knox, Electron. Lett. 33, 1726 (1997).
[CrossRef]

Pilipetskii, A. N.

Sahara, A.

A. Sahara, H. Kubota, and M. Nakazawa, IEEE Photon. Technol. Lett. 9, 1179 (1997).
[CrossRef]

Shapiro, E. G.

Smith, N.

N. Smith, F. M. Knox, N. J. Doran, K. J. Blow, and I. Bennion, Electron. Lett. 32, 55 (1996); N. J. Smith, N. J. Doran, F. M. Knox, and W. Forysiak, Opt. Lett. 21, 1981 (1996).
[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]

Tamura, K.

H. A. Haus, K. Tamura, L. E. Nelson, and E. P. Ippen, IEEE J. Quantum Electron. 31, 591 (1995).
[CrossRef]

Turitsyn, S. K.

Yamamoto, S.

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

Yang, T. S.

Yu, T.

Electron. Lett. (3)

J. H. B. Nijhof, N. J. Doran, W. Forysiak, and F. M. Knox, Electron. Lett. 33, 1726 (1997).
[CrossRef]

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); N. J. Smith, N. J. Doran, F. M. Knox, and W. Forysiak, Opt. Lett. 21, 1981 (1996).
[CrossRef] [PubMed]

IEEE J. Quantum Electron. (1)

H. A. Haus, K. Tamura, L. E. Nelson, and E. P. Ippen, IEEE J. Quantum Electron. 31, 591 (1995).
[CrossRef]

IEEE Photon. Technol. Lett. (2)

A. Sahara, H. Kubota, and M. Nakazawa, IEEE Photon. Technol. Lett. 9, 1179 (1997).
[CrossRef]

M. Matsumoto and H. A. Haus, IEEE Photon. Technol. Lett. 9, 785 (1997).
[CrossRef]

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

JETP Lett. (1)

S. K. Turitsyn, JETP Lett. 65, 845 (1997); E. Shapiro and S. K. Turitsyn, Opt. Lett. 22, 1544 (1997); Phys. Rev. E 56, (1997).
[CrossRef]

Opt. Lett. (5)

Other (1)

L. F. Mollenauer, P. V. Mamyshev, and M. J. Neubelt, in Optical Fiber Communication Conference, Vol. 2 of 1996 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1996), postdeadline paper PD22-1.

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Figures (4)

Fig. 1
Fig. 1

Evolution over one compensation period of the pulse width [solid curve, direct numerical simulations; filled circles, Eqs.  (2)] and the peak power (dashed curve) of the DM soliton in the optical amplifier system with zero average dispersion. The two minima correspond to the chirp-free points that are optimal for launching of the transform-limited pulse into the system.

Fig. 2
Fig. 2

Soliton peak power as a function of soliton width at two chirp-free points.

Fig. 3
Fig. 3

Average soliton energy versus the dispersion-allocation parameter.

Fig. 4
Fig. 4

Pulse widths taken at two chirp-free points as functions of the dispersion-allocation parameter. Solid curve, first fiber; dashed curve, second fiber.

Equations (2)

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Ψz, t=Ψexpiϕ,   Ψz, t2=Qx2Tzϕt=2MztTz,
dTdz=λ2DzLπclt02M,   dMdz=λ2DzL4πclt02C1T3-czC2T2cz=P0Lσ1, 2exp-2Lγ1, 2z.

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