Abstract

A new type of optical solitary wave is shown to exist in W-type single-mode fibers. These solitary waves consist of localized structures separating two uniform fields of different frequencies. Their application to optical communications is considered. We show that their topology is adapted to the nonreturn-to-zero modulation format and that their fundamental features offer important advantages with respect to the usual soliton transmission scheme.

© 1995 Optical Society of America

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References

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  1. A. Hasegawa, Optical Solitons in Fibers (Springer- Verlag, Berlin, 1989), pp. 41–47.
  2. G. P. Agrawal, Fiber-Optic Communication Systems (Wiley, New York, 1992), pp. 391–428.
  3. N. S. Bergano, C. R. Davidson, B. M. Nyman, S. G. Evangelides, J. M. Darcie, J. D. Evankow, P. C. Corbett, M. A. Mills, G. A. Ferguson, J. A. Nagal, J. L. Zyskind, J. W. Sulhoff, A. J. Lucero, A. A. Klein, in Optical Fiber Communication Conference, Vol. 15 of 1994 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1995), postdeadline paper PD19.
  4. L. B. Jeunhomme, Single-Mode Fiber Optics (Dekker, New York, 1983), pp. 126–132.
  5. G. P. Agrawal, Nonlinear Fiber Optics (Academic, London, 1989), pp. 172–217.
  6. M. Badolo, Ph. Emplit, Opt. Commun. 105, 171 (1994).
    [Crossref]
  7. M. Haelterman, A. P. Sheppard, Opt. Lett. 19, 96 (1994).
    [Crossref] [PubMed]
  8. J. P. Hamaide, Ph. Emplit, M. Haelterman, Opt. Lett. 16, 1578 (1991).
    [Crossref] [PubMed]

1994 (2)

1991 (1)

Agrawal, G. P.

G. P. Agrawal, Fiber-Optic Communication Systems (Wiley, New York, 1992), pp. 391–428.

G. P. Agrawal, Nonlinear Fiber Optics (Academic, London, 1989), pp. 172–217.

Badolo, M.

M. Badolo, Ph. Emplit, Opt. Commun. 105, 171 (1994).
[Crossref]

Bergano, N. S.

N. S. Bergano, C. R. Davidson, B. M. Nyman, S. G. Evangelides, J. M. Darcie, J. D. Evankow, P. C. Corbett, M. A. Mills, G. A. Ferguson, J. A. Nagal, J. L. Zyskind, J. W. Sulhoff, A. J. Lucero, A. A. Klein, in Optical Fiber Communication Conference, Vol. 15 of 1994 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1995), postdeadline paper PD19.

Corbett, P. C.

N. S. Bergano, C. R. Davidson, B. M. Nyman, S. G. Evangelides, J. M. Darcie, J. D. Evankow, P. C. Corbett, M. A. Mills, G. A. Ferguson, J. A. Nagal, J. L. Zyskind, J. W. Sulhoff, A. J. Lucero, A. A. Klein, in Optical Fiber Communication Conference, Vol. 15 of 1994 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1995), postdeadline paper PD19.

Darcie, J. M.

N. S. Bergano, C. R. Davidson, B. M. Nyman, S. G. Evangelides, J. M. Darcie, J. D. Evankow, P. C. Corbett, M. A. Mills, G. A. Ferguson, J. A. Nagal, J. L. Zyskind, J. W. Sulhoff, A. J. Lucero, A. A. Klein, in Optical Fiber Communication Conference, Vol. 15 of 1994 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1995), postdeadline paper PD19.

Davidson, C. R.

N. S. Bergano, C. R. Davidson, B. M. Nyman, S. G. Evangelides, J. M. Darcie, J. D. Evankow, P. C. Corbett, M. A. Mills, G. A. Ferguson, J. A. Nagal, J. L. Zyskind, J. W. Sulhoff, A. J. Lucero, A. A. Klein, in Optical Fiber Communication Conference, Vol. 15 of 1994 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1995), postdeadline paper PD19.

Emplit, Ph.

Evangelides, S. G.

N. S. Bergano, C. R. Davidson, B. M. Nyman, S. G. Evangelides, J. M. Darcie, J. D. Evankow, P. C. Corbett, M. A. Mills, G. A. Ferguson, J. A. Nagal, J. L. Zyskind, J. W. Sulhoff, A. J. Lucero, A. A. Klein, in Optical Fiber Communication Conference, Vol. 15 of 1994 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1995), postdeadline paper PD19.

Evankow, J. D.

N. S. Bergano, C. R. Davidson, B. M. Nyman, S. G. Evangelides, J. M. Darcie, J. D. Evankow, P. C. Corbett, M. A. Mills, G. A. Ferguson, J. A. Nagal, J. L. Zyskind, J. W. Sulhoff, A. J. Lucero, A. A. Klein, in Optical Fiber Communication Conference, Vol. 15 of 1994 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1995), postdeadline paper PD19.

Ferguson, G. A.

N. S. Bergano, C. R. Davidson, B. M. Nyman, S. G. Evangelides, J. M. Darcie, J. D. Evankow, P. C. Corbett, M. A. Mills, G. A. Ferguson, J. A. Nagal, J. L. Zyskind, J. W. Sulhoff, A. J. Lucero, A. A. Klein, in Optical Fiber Communication Conference, Vol. 15 of 1994 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1995), postdeadline paper PD19.

Haelterman, M.

Hamaide, J. P.

Hasegawa, A.

A. Hasegawa, Optical Solitons in Fibers (Springer- Verlag, Berlin, 1989), pp. 41–47.

Jeunhomme, L. B.

L. B. Jeunhomme, Single-Mode Fiber Optics (Dekker, New York, 1983), pp. 126–132.

Klein, A. A.

N. S. Bergano, C. R. Davidson, B. M. Nyman, S. G. Evangelides, J. M. Darcie, J. D. Evankow, P. C. Corbett, M. A. Mills, G. A. Ferguson, J. A. Nagal, J. L. Zyskind, J. W. Sulhoff, A. J. Lucero, A. A. Klein, in Optical Fiber Communication Conference, Vol. 15 of 1994 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1995), postdeadline paper PD19.

Lucero, A. J.

N. S. Bergano, C. R. Davidson, B. M. Nyman, S. G. Evangelides, J. M. Darcie, J. D. Evankow, P. C. Corbett, M. A. Mills, G. A. Ferguson, J. A. Nagal, J. L. Zyskind, J. W. Sulhoff, A. J. Lucero, A. A. Klein, in Optical Fiber Communication Conference, Vol. 15 of 1994 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1995), postdeadline paper PD19.

Mills, M. A.

N. S. Bergano, C. R. Davidson, B. M. Nyman, S. G. Evangelides, J. M. Darcie, J. D. Evankow, P. C. Corbett, M. A. Mills, G. A. Ferguson, J. A. Nagal, J. L. Zyskind, J. W. Sulhoff, A. J. Lucero, A. A. Klein, in Optical Fiber Communication Conference, Vol. 15 of 1994 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1995), postdeadline paper PD19.

Nagal, J. A.

N. S. Bergano, C. R. Davidson, B. M. Nyman, S. G. Evangelides, J. M. Darcie, J. D. Evankow, P. C. Corbett, M. A. Mills, G. A. Ferguson, J. A. Nagal, J. L. Zyskind, J. W. Sulhoff, A. J. Lucero, A. A. Klein, in Optical Fiber Communication Conference, Vol. 15 of 1994 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1995), postdeadline paper PD19.

Nyman, B. M.

N. S. Bergano, C. R. Davidson, B. M. Nyman, S. G. Evangelides, J. M. Darcie, J. D. Evankow, P. C. Corbett, M. A. Mills, G. A. Ferguson, J. A. Nagal, J. L. Zyskind, J. W. Sulhoff, A. J. Lucero, A. A. Klein, in Optical Fiber Communication Conference, Vol. 15 of 1994 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1995), postdeadline paper PD19.

Sheppard, A. P.

Sulhoff, J. W.

N. S. Bergano, C. R. Davidson, B. M. Nyman, S. G. Evangelides, J. M. Darcie, J. D. Evankow, P. C. Corbett, M. A. Mills, G. A. Ferguson, J. A. Nagal, J. L. Zyskind, J. W. Sulhoff, A. J. Lucero, A. A. Klein, in Optical Fiber Communication Conference, Vol. 15 of 1994 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1995), postdeadline paper PD19.

Zyskind, J. L.

N. S. Bergano, C. R. Davidson, B. M. Nyman, S. G. Evangelides, J. M. Darcie, J. D. Evankow, P. C. Corbett, M. A. Mills, G. A. Ferguson, J. A. Nagal, J. L. Zyskind, J. W. Sulhoff, A. J. Lucero, A. A. Klein, in Optical Fiber Communication Conference, Vol. 15 of 1994 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1995), postdeadline paper PD19.

Opt. Commun. (1)

M. Badolo, Ph. Emplit, Opt. Commun. 105, 171 (1994).
[Crossref]

Opt. Lett. (2)

Other (5)

A. Hasegawa, Optical Solitons in Fibers (Springer- Verlag, Berlin, 1989), pp. 41–47.

G. P. Agrawal, Fiber-Optic Communication Systems (Wiley, New York, 1992), pp. 391–428.

N. S. Bergano, C. R. Davidson, B. M. Nyman, S. G. Evangelides, J. M. Darcie, J. D. Evankow, P. C. Corbett, M. A. Mills, G. A. Ferguson, J. A. Nagal, J. L. Zyskind, J. W. Sulhoff, A. J. Lucero, A. A. Klein, in Optical Fiber Communication Conference, Vol. 15 of 1994 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1995), postdeadline paper PD19.

L. B. Jeunhomme, Single-Mode Fiber Optics (Dekker, New York, 1983), pp. 126–132.

G. P. Agrawal, Nonlinear Fiber Optics (Academic, London, 1989), pp. 172–217.

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Figures (3)

Fig. 1
Fig. 1

Wavelength dependence of (a) the dispersion coefficient β′′ and (b) the inverse group velocity β′ for the fiber considered in the text. The wavelengths λ1 and λ2 correspond to identical group velocities Vg = 1/β′(λ1) = 1/β′(λ2) = 2.019 × 108 m/s. Note that the relative difference between the two extrema of β′ is as small as 0.8 × 10−6.

Fig. 2
Fig. 2

(a) Contour lines and separatrix trajectory of the potential V and (b) the corresponding domain-wall soliton envelopes x(τ), y(τ) for the fiber parameters considered in the text (β = κ = 0.947, η = 1).

Fig. 3
Fig. 3

(a) Power profiles of two adjacent domain walls given in real units corresponding to the fiber of Fig. 1. (b) The same domain-wall solitons after propagation over 6000 km in an amplified fiber link (the relevant parameters are given in the text).

Equations (7)

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i z E 1 - 1 / 2 β 1 t t 2 E 1 + γ 1 ( E 1 2 + 2 η 1 E 2 2 ) E 1 = 0 ,
i z E 2 + i ρ t E 2 - 1 / 2 β 2 t t 2 E 2 + γ 2 ( E 2 2 + 2 η 2 E 1 2 ) E 2 = 0 ,
A = ϕ 1 2 d S ϕ 2 2 d S / ϕ 1 2 ϕ 2 2 d S ,
1 2 β 1 d 2 e 1 d t 2 = - β 1 e 1 + γ 1 e 1 3 + 2 η 1 γ 1 e 1 e 2 2 ,
1 2 β 2 d 2 e 2 d t 2 = - β 2 e 2 + γ 2 e 2 3 + 2 η 2 γ 2 e 2 e 1 2 .
x ¨ = - 2 x + 2 x 3 + 4 η κ x y 2 ,
y ¨ = - 2 β y + 2 κ 2 y 3 + 4 η κ x 2 y ,

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