Abstract

Combination of programmed chirp and dispersion profiles produced a solitonlike nonlinear pulse with a stationary structure (quasi-soliton). The quasi-soliton has more attractive properties than those of a soliton because of its reduced interaction and smaller peak power than a soliton and allows 100-Gbit/s transmission over a 125-dispersion distance with reasonable power.

© 1997 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. H. A. Haus, K. Tamura, L. E. Nelson, and E. P. Ippen, IEEE J. Quantum Electron. 31, 591 (1995).
    [CrossRef]
  3. I. Gabitov and S. K. Turitsyn, JETP Lett. 63, 863 (1996); Opt. Lett. 21, 327 (1996).
    [CrossRef]
  4. N. J. Smith, F. M. Knox, N. J. Doran, K. J. Blow, and I. Bennion, Electron. Lett. 32, 54 (1996).
    [CrossRef]
  5. M. Nakazawa and H. Kubota, Jpn. J. Appl. Phys. 34, L681 (1995).
    [CrossRef]
  6. T. Georges and B. Charbonnier, IEEE Photon. Technol. Lett. 9, 127 (1997).
    [CrossRef]
  7. A. Hasegawa, S. Kumar, and Y. Kodama, Opt. Lett. 21, 39 (1996).
    [CrossRef] [PubMed]
  8. W. Forysiak, F. M. Knox, and N. J. Doran, Opt. Lett. 19, 174 (1994).
    [CrossRef]
  9. J. D. Moores, Opt. Lett. 21, 555 (1996).
    [CrossRef] [PubMed]
  10. P. A. Belanger and N. Belanger, Opt. Commun. 117, 56 (1995).

1997 (1)

T. Georges and B. Charbonnier, IEEE Photon. Technol. Lett. 9, 127 (1997).
[CrossRef]

1996 (4)

A. Hasegawa, S. Kumar, and Y. Kodama, Opt. Lett. 21, 39 (1996).
[CrossRef] [PubMed]

J. D. Moores, Opt. Lett. 21, 555 (1996).
[CrossRef] [PubMed]

I. Gabitov and S. K. Turitsyn, JETP Lett. 63, 863 (1996); Opt. Lett. 21, 327 (1996).
[CrossRef]

N. J. Smith, F. M. Knox, N. J. Doran, K. J. Blow, and I. Bennion, Electron. Lett. 32, 54 (1996).
[CrossRef]

1995 (4)

M. Nakazawa and H. Kubota, Jpn. J. Appl. Phys. 34, L681 (1995).
[CrossRef]

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

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

P. A. Belanger and N. Belanger, Opt. Commun. 117, 56 (1995).

1994 (1)

Akiba, S.

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

Belanger, N.

P. A. Belanger and N. Belanger, Opt. Commun. 117, 56 (1995).

Belanger, P. A.

P. A. Belanger and N. Belanger, Opt. Commun. 117, 56 (1995).

Bennion, I.

N. J. Smith, F. M. Knox, N. J. Doran, K. J. Blow, and I. Bennion, Electron. Lett. 32, 54 (1996).
[CrossRef]

Blow, K. J.

N. J. Smith, F. M. Knox, N. J. Doran, K. J. Blow, and I. Bennion, Electron. Lett. 32, 54 (1996).
[CrossRef]

Charbonnier, B.

T. Georges and B. Charbonnier, IEEE Photon. Technol. Lett. 9, 127 (1997).
[CrossRef]

Doran, N. J.

N. J. Smith, F. M. Knox, N. J. Doran, K. J. Blow, and I. Bennion, Electron. Lett. 32, 54 (1996).
[CrossRef]

W. Forysiak, F. M. Knox, and N. J. Doran, Opt. Lett. 19, 174 (1994).
[CrossRef]

Edagawa, N.

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

Forysiak, W.

Gabitov, I.

I. Gabitov and S. K. Turitsyn, JETP Lett. 63, 863 (1996); Opt. Lett. 21, 327 (1996).
[CrossRef]

Georges, T.

T. Georges and B. Charbonnier, IEEE Photon. Technol. Lett. 9, 127 (1997).
[CrossRef]

Hasegawa, A.

Haus, H. A.

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

Ippen, E. P.

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

Knox, F. M.

N. J. Smith, F. M. Knox, N. J. Doran, K. J. Blow, and I. Bennion, Electron. Lett. 32, 54 (1996).
[CrossRef]

W. Forysiak, F. M. Knox, and N. J. Doran, Opt. Lett. 19, 174 (1994).
[CrossRef]

Kodama, Y.

Kubota, H.

M. Nakazawa and H. Kubota, Jpn. J. Appl. Phys. 34, L681 (1995).
[CrossRef]

Kumar, S.

Moores, J. D.

Morita, I.

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

Nakazawa, M.

M. Nakazawa and H. Kubota, Jpn. J. Appl. Phys. 34, L681 (1995).
[CrossRef]

Nelson, L. E.

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

Smith, N. J.

N. J. Smith, F. M. Knox, N. J. Doran, K. J. Blow, and I. Bennion, Electron. Lett. 32, 54 (1996).
[CrossRef]

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.

I. Gabitov and S. K. Turitsyn, JETP Lett. 63, 863 (1996); Opt. Lett. 21, 327 (1996).
[CrossRef]

Yamamoto, S.

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

Electron. Lett. (2)

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

N. J. Smith, F. M. Knox, N. J. Doran, K. J. Blow, and I. Bennion, Electron. Lett. 32, 54 (1996).
[CrossRef]

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. (1)

T. Georges and B. Charbonnier, IEEE Photon. Technol. Lett. 9, 127 (1997).
[CrossRef]

JETP Lett. (1)

I. Gabitov and S. K. Turitsyn, JETP Lett. 63, 863 (1996); Opt. Lett. 21, 327 (1996).
[CrossRef]

Jpn. J. Appl. Phys. (1)

M. Nakazawa and H. Kubota, Jpn. J. Appl. Phys. 34, L681 (1995).
[CrossRef]

Opt. Commun. (1)

P. A. Belanger and N. Belanger, Opt. Commun. 117, 56 (1995).

Opt. Lett. (3)

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Figures (4)

Fig. 1
Fig. 1

Plot of f(τ;α,K1) versus time τ (solid curve) with K1=1, K2=-0.15915, and α=0.5. The dashed curve shows the soliton solution of the same pulse width.

Fig. 2
Fig. 2

Dispersion profile for various C(0) and Γ with K1=1. Solid curve, profile with C(0)=-1.34, Γ=0.36; dashed curve, C(0)=-0.4, Γ=0.1; dotted curve, C(0)=-0.8, Γ=0.

Fig. 3
Fig. 3

Pulse width and chirp as a function of distance. Solid curve, theoretical results; squares, simulation results. The length of the grating is exaggerated to show the chirp changes clearly. Parameters: C(0)=-1.34, Γ=0.36, K1=1, Z1=4.15, α=0.5, g=0.835.

Fig. 4
Fig. 4

Quasi-soliton interaction over a length of 2000  km. Parameters: C(0)=-1.34, Z1Za=4.15, K1=1, α=0.5, g=0.835, Γ=0.36.

Equations (20)

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iuZ+de(Z)22uT2+α|u|2u=0, 0ZZ1,
Z=0Za2(Z)dZ, de(Z)=d(Z)/a2(Z),
u=p(Z)ν[p(Z)T,Z]exp[iC(Z)T2/2],
iνZ+K0τντ+dep222ντ2+αp|ν|2ν=K1τ2p2ν-iK02ν,
K0=p·+Cdepp, K1=C·+C2dep3.
iνZ+dep222ντ2+αp|ν|2ν=K1τ2p2ν.
dep=const(=1),
iνZ+122ντ2+α|ν|2-K1τ22ν=0,
ν=f(τ)exp(iK2Z)
12d2fdτ2+αf3-K2f-(K1/2)τ2f=0.
C=d·e/de2,
ded2dedZ2-ddedZ2=K1.
de(Z)=cosh(δZ)+C(0)δsinh(δZ),δ=[K1+C(0)2]1/2,
d(Z)=de(Z)exp(-2ΓZ).
q(T,Z)=exp(-ΓZ)[de(Z)]1/2f(T/de)exp[iC(Z)T2/2+iβ(Z)],
C(Z)=d·e/de2, β(Z)=K20Zp(s)ds,
q(T,Za)=-h(Ω)q˜(Ω,Z1)exp(iΩT)dΩ,
h(Ω)=exp(iΩ2g/2), g=Z1ZadN(Z)dZ
q(T,Za)exp(-ΓZa)wf(wT)×exp{iC2T2/2+iβ[Z(Z1)]},
d1(1-gC1)=±1, C1d1=±C(0).

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