Abstract

We show that guiding filters fundamentally alter the behavior of dispersion-managed soltions by making the pulse energy nearly independent of path-average dispersion D¯ in the neighborhood of D¯=0. This fact enables one to design maps permitting adequate pulse energy with narrow-bandwidth, temporally broad pulses for the attainment of high spectral efficiency and reduced nonlinear penalties in wavelength-division multiplexing.

© 1999 Optical Society of America

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References

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  1. L. F. Mollenauer, K. Smith, J. P. Gordon, and C. R. Menyuk, Opt. Lett. 14, 1219 (1989).
    [CrossRef] [PubMed]
  2. N. Robinson, G. Davis, and J. Fee, in Optical Fiber Communication Conference (OFC), Vol. 2 of 1998 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1998), postdeadline paper PD-19.
  3. J. H. B. Nijhof, N. J. Doran, W. Forysiak, and F. M. Knox, Electron. Lett. 33, 1726 (1997).
    [CrossRef]
  4. V. S. Grigoryan and C. R. Menyuk, Opt. Lett. 23, 609 (1998).
    [CrossRef]
  5. S. K. Turitsyn and E. G. Shapiro, Opt. Fiber Technol. 4, 151 (1998).
    [CrossRef]
  6. L. F. Mollenauer, J. P. Gordon, and P. V. Mamyshev, in Optical Fiber Telecommunications, I. P. Kaminov and T. L. Koch, eds. (Academic, Orlando, Fla., 1997), Vol. IIIA, Chap. 12, Sec. 3.2.
  7. M. Matsumoto and H. A. Haus, IEEE Photon. Technol. Lett. 9, 785 (1997).
    [CrossRef]
  8. T. Yu, E. A. Golovchenko, A. N. Pilipetskii, and C. R. Menyuk, Opt. Lett. 22, 793 (1997).
    [CrossRef] [PubMed]
  9. J. P. Gordon and L. F. Mollenauer, Opt. Lett. 24, 223 (1999).
    [CrossRef]

1999 (1)

1998 (2)

V. S. Grigoryan and C. R. Menyuk, Opt. Lett. 23, 609 (1998).
[CrossRef]

S. K. Turitsyn and E. G. Shapiro, Opt. Fiber Technol. 4, 151 (1998).
[CrossRef]

1997 (3)

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

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

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

1989 (1)

Davis, G.

N. Robinson, G. Davis, and J. Fee, in Optical Fiber Communication Conference (OFC), Vol. 2 of 1998 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1998), postdeadline paper PD-19.

Doran, N. J.

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

Fee, J.

N. Robinson, G. Davis, and J. Fee, in Optical Fiber Communication Conference (OFC), Vol. 2 of 1998 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1998), postdeadline paper PD-19.

Forysiak, W.

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

Golovchenko, E. A.

Gordon, J. P.

J. P. Gordon and L. F. Mollenauer, Opt. Lett. 24, 223 (1999).
[CrossRef]

L. F. Mollenauer, K. Smith, J. P. Gordon, and C. R. Menyuk, Opt. Lett. 14, 1219 (1989).
[CrossRef] [PubMed]

L. F. Mollenauer, J. P. Gordon, and P. V. Mamyshev, in Optical Fiber Telecommunications, I. P. Kaminov and T. L. Koch, eds. (Academic, Orlando, Fla., 1997), Vol. IIIA, Chap. 12, Sec. 3.2.

Grigoryan, V. S.

Haus, H. A.

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

Knox, F. M.

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

Mamyshev, P. V.

L. F. Mollenauer, J. P. Gordon, and P. V. Mamyshev, in Optical Fiber Telecommunications, I. P. Kaminov and T. L. Koch, eds. (Academic, Orlando, Fla., 1997), Vol. IIIA, Chap. 12, Sec. 3.2.

Matsumoto, M.

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

Menyuk, C. R.

Mollenauer, L. F.

J. P. Gordon and L. F. Mollenauer, Opt. Lett. 24, 223 (1999).
[CrossRef]

L. F. Mollenauer, K. Smith, J. P. Gordon, and C. R. Menyuk, Opt. Lett. 14, 1219 (1989).
[CrossRef] [PubMed]

L. F. Mollenauer, J. P. Gordon, and P. V. Mamyshev, in Optical Fiber Telecommunications, I. P. Kaminov and T. L. Koch, eds. (Academic, Orlando, Fla., 1997), Vol. IIIA, Chap. 12, Sec. 3.2.

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.

Robinson, N.

N. Robinson, G. Davis, and J. Fee, in Optical Fiber Communication Conference (OFC), Vol. 2 of 1998 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1998), postdeadline paper PD-19.

Shapiro, E. G.

S. K. Turitsyn and E. G. Shapiro, Opt. Fiber Technol. 4, 151 (1998).
[CrossRef]

Smith, K.

Turitsyn, S. K.

S. K. Turitsyn and E. G. Shapiro, Opt. Fiber Technol. 4, 151 (1998).
[CrossRef]

Yu, T.

Electron. Lett. (1)

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

IEEE Photon. Technol. Lett. (1)

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

Opt. Fiber Technol. (1)

S. K. Turitsyn and E. G. Shapiro, Opt. Fiber Technol. 4, 151 (1998).
[CrossRef]

Opt. Lett. (4)

Other (2)

L. F. Mollenauer, J. P. Gordon, and P. V. Mamyshev, in Optical Fiber Telecommunications, I. P. Kaminov and T. L. Koch, eds. (Academic, Orlando, Fla., 1997), Vol. IIIA, Chap. 12, Sec. 3.2.

N. Robinson, G. Davis, and J. Fee, in Optical Fiber Communication Conference (OFC), Vol. 2 of 1998 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1998), postdeadline paper PD-19.

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Figures (6)

Fig. 1
Fig. 1

The two maps studied here: a, map without a filter, b, map with a guiding filter (free spectral range, 75  GHz; R=0.055). Fiber properties are listed in Table  1.

Fig. 2
Fig. 2

Pulse width, bandwidth (BW), and chirp parameter (normalized) as functions of distance in the map of Fig.  1(a). τ0=20 ps; D¯=0.1 ps/nmkm.

Fig. 3
Fig. 3

Path-average pulse energy versus path-average dispersion for the map of Fig.  1(a). The number next to each curve indicates the unchirped (minimum) pulse width (ps) in the +D fiber. The dashed curve corresponds to ordinary solitons of τ=20 ps.

Fig. 4
Fig. 4

Pulse width, pulse bandwidth (BW), and chirp parameter (normalized) as functions of distance in the map of Fig.  1(b). τ0=25 ps; D¯=0.13 ps/nmkm.

Fig. 5
Fig. 5

Locus of the quantity q-iz-1 in the complex plane for the map of Fig.  1(b) when τ0=25 ps and D¯=0.13 ps/nmkm. The standard and DCF fiber segments are indicated by solid and dashed curves, respectively.

Fig. 6
Fig. 6

Path-average pulse energy versus path-average dispersion of the map of Fig.  1(b). The number next to each curve indicates the unchirped (minimum) pulse width (ps) in the +D fiber.

Tables (1)

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Table 1 Properties of Some Commercial Fibers

Equations (2)

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dqdz=i1-Kq2Re1/q3/2,
zc=14ln22πcλ2τ02D,

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