Abstract

By perturbation theory and simulations I analyze the stability of optical solitons that propagate in a periodically amplified fiber link with lumped semiconductor amplifiers, bandpass filters, and acousto-optic frequency shifters. I obtain the conditions for suppressing the effects of semiconductor gain and index saturation.

© 1995 Optical Society of America

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References

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  1. A. Mecozzi, J. D. Moores, H. A. Haus, Y. Lai, Opt. Lett. 16, 1841 (1991); Y. Kodama, A. Hasegawa, Opt. Lett. 17, 31 (1992).
    [Crossref] [PubMed]
  2. L. F. Mollenauer, J. P. Gordon, S. G. Evangelides, Opt. Lett. 17, 1575 (1992); L. F. Mollenauer, E. Lichtman, M. J. Neubelt, G. T. Harvey, Electron. Lett. 29, 910 (1993).
    [Crossref] [PubMed]
  3. C. T. H. F. Liedenbaum, J. J. E. Reid, L. F. Tiemeijer, A. J. Boot, P. I. Kuindersma, I. Gabitov, A. Mattheus, in Digest of European Conference on Optical Communications (Istituto Internazionale delle Comunicazioni, Genova, Italy, 1994), Vol. 1, p. 233–236; J. J. E. Reid, C. T. H. F. Liedenbaum, L. F. Tiemeijer, P. I. Kuindersma, in Digest of European Conference on Optical Communications (Istituto Internazionale delle Comunicazioni, Genova, Italy, 1994), Vol. 4, p. 61–64.
  4. N. A. Olsson, G. P. Agrawal, Appl. Phys. Lett. 55, 13 (1989).
    [Crossref]
  5. A. Mecozzi, Opt. Lett. 20, 1616 (1995).
    [Crossref] [PubMed]
  6. Y. Kodama, M. Romagnoli, S. Wabnitz, Electron. Lett. 30, 261 (1994).
    [Crossref]
  7. Y. Kodama, S. Wabnitz, Opt. Lett. 18, 1311 (1993); Y. Kodama, S. Wabnitz, Opt. Lett. 19, 162 (1994).
    [Crossref] [PubMed]
  8. V. I. Karpman, E. M. Maslov, Zh. Eksp. Teor. Fiz. 73, 537 (1977) [Sov. Phys. JETP 46, 281 (1977)].
  9. L. Gagnon, P. A. Belanger, Phys. Rev. A 43, 6187 (1991).
    [Crossref] [PubMed]
  10. A. Mattheus, Telekom FTZ, Am Kavalleriesand 3, D-64295 Darmstadt, Germany (personal communication, 1995).
  11. Y. Kodama, M. Romagnoli, S. Wabnitz, M. Midrio, Opt. Lett. 19, 165 (1994); E. A. Golovchenko, A. N. Pilipetskii, C. R. Menyuk, J. P. Gordon, L. F. Mollenauer, Opt. Lett. 20, 539 (1995).
    [Crossref] [PubMed]

1995 (1)

1994 (2)

1993 (1)

1992 (1)

1991 (2)

1989 (1)

N. A. Olsson, G. P. Agrawal, Appl. Phys. Lett. 55, 13 (1989).
[Crossref]

1977 (1)

V. I. Karpman, E. M. Maslov, Zh. Eksp. Teor. Fiz. 73, 537 (1977) [Sov. Phys. JETP 46, 281 (1977)].

Agrawal, G. P.

N. A. Olsson, G. P. Agrawal, Appl. Phys. Lett. 55, 13 (1989).
[Crossref]

Belanger, P. A.

L. Gagnon, P. A. Belanger, Phys. Rev. A 43, 6187 (1991).
[Crossref] [PubMed]

Boot, A. J.

C. T. H. F. Liedenbaum, J. J. E. Reid, L. F. Tiemeijer, A. J. Boot, P. I. Kuindersma, I. Gabitov, A. Mattheus, in Digest of European Conference on Optical Communications (Istituto Internazionale delle Comunicazioni, Genova, Italy, 1994), Vol. 1, p. 233–236; J. J. E. Reid, C. T. H. F. Liedenbaum, L. F. Tiemeijer, P. I. Kuindersma, in Digest of European Conference on Optical Communications (Istituto Internazionale delle Comunicazioni, Genova, Italy, 1994), Vol. 4, p. 61–64.

Evangelides, S. G.

Gabitov, I.

C. T. H. F. Liedenbaum, J. J. E. Reid, L. F. Tiemeijer, A. J. Boot, P. I. Kuindersma, I. Gabitov, A. Mattheus, in Digest of European Conference on Optical Communications (Istituto Internazionale delle Comunicazioni, Genova, Italy, 1994), Vol. 1, p. 233–236; J. J. E. Reid, C. T. H. F. Liedenbaum, L. F. Tiemeijer, P. I. Kuindersma, in Digest of European Conference on Optical Communications (Istituto Internazionale delle Comunicazioni, Genova, Italy, 1994), Vol. 4, p. 61–64.

Gagnon, L.

L. Gagnon, P. A. Belanger, Phys. Rev. A 43, 6187 (1991).
[Crossref] [PubMed]

Gordon, J. P.

Haus, H. A.

Karpman, V. I.

V. I. Karpman, E. M. Maslov, Zh. Eksp. Teor. Fiz. 73, 537 (1977) [Sov. Phys. JETP 46, 281 (1977)].

Kodama, Y.

Kuindersma, P. I.

C. T. H. F. Liedenbaum, J. J. E. Reid, L. F. Tiemeijer, A. J. Boot, P. I. Kuindersma, I. Gabitov, A. Mattheus, in Digest of European Conference on Optical Communications (Istituto Internazionale delle Comunicazioni, Genova, Italy, 1994), Vol. 1, p. 233–236; J. J. E. Reid, C. T. H. F. Liedenbaum, L. F. Tiemeijer, P. I. Kuindersma, in Digest of European Conference on Optical Communications (Istituto Internazionale delle Comunicazioni, Genova, Italy, 1994), Vol. 4, p. 61–64.

Lai, Y.

Liedenbaum, C. T. H. F.

C. T. H. F. Liedenbaum, J. J. E. Reid, L. F. Tiemeijer, A. J. Boot, P. I. Kuindersma, I. Gabitov, A. Mattheus, in Digest of European Conference on Optical Communications (Istituto Internazionale delle Comunicazioni, Genova, Italy, 1994), Vol. 1, p. 233–236; J. J. E. Reid, C. T. H. F. Liedenbaum, L. F. Tiemeijer, P. I. Kuindersma, in Digest of European Conference on Optical Communications (Istituto Internazionale delle Comunicazioni, Genova, Italy, 1994), Vol. 4, p. 61–64.

Maslov, E. M.

V. I. Karpman, E. M. Maslov, Zh. Eksp. Teor. Fiz. 73, 537 (1977) [Sov. Phys. JETP 46, 281 (1977)].

Mattheus, A.

A. Mattheus, Telekom FTZ, Am Kavalleriesand 3, D-64295 Darmstadt, Germany (personal communication, 1995).

C. T. H. F. Liedenbaum, J. J. E. Reid, L. F. Tiemeijer, A. J. Boot, P. I. Kuindersma, I. Gabitov, A. Mattheus, in Digest of European Conference on Optical Communications (Istituto Internazionale delle Comunicazioni, Genova, Italy, 1994), Vol. 1, p. 233–236; J. J. E. Reid, C. T. H. F. Liedenbaum, L. F. Tiemeijer, P. I. Kuindersma, in Digest of European Conference on Optical Communications (Istituto Internazionale delle Comunicazioni, Genova, Italy, 1994), Vol. 4, p. 61–64.

Mecozzi, A.

Midrio, M.

Mollenauer, L. F.

Moores, J. D.

Olsson, N. A.

N. A. Olsson, G. P. Agrawal, Appl. Phys. Lett. 55, 13 (1989).
[Crossref]

Reid, J. J. E.

C. T. H. F. Liedenbaum, J. J. E. Reid, L. F. Tiemeijer, A. J. Boot, P. I. Kuindersma, I. Gabitov, A. Mattheus, in Digest of European Conference on Optical Communications (Istituto Internazionale delle Comunicazioni, Genova, Italy, 1994), Vol. 1, p. 233–236; J. J. E. Reid, C. T. H. F. Liedenbaum, L. F. Tiemeijer, P. I. Kuindersma, in Digest of European Conference on Optical Communications (Istituto Internazionale delle Comunicazioni, Genova, Italy, 1994), Vol. 4, p. 61–64.

Romagnoli, M.

Tiemeijer, L. F.

C. T. H. F. Liedenbaum, J. J. E. Reid, L. F. Tiemeijer, A. J. Boot, P. I. Kuindersma, I. Gabitov, A. Mattheus, in Digest of European Conference on Optical Communications (Istituto Internazionale delle Comunicazioni, Genova, Italy, 1994), Vol. 1, p. 233–236; J. J. E. Reid, C. T. H. F. Liedenbaum, L. F. Tiemeijer, P. I. Kuindersma, in Digest of European Conference on Optical Communications (Istituto Internazionale delle Comunicazioni, Genova, Italy, 1994), Vol. 4, p. 61–64.

Wabnitz, S.

Appl. Phys. Lett. (1)

N. A. Olsson, G. P. Agrawal, Appl. Phys. Lett. 55, 13 (1989).
[Crossref]

Electron. Lett. (1)

Y. Kodama, M. Romagnoli, S. Wabnitz, Electron. Lett. 30, 261 (1994).
[Crossref]

Opt. Lett. (5)

Phys. Rev. A (1)

L. Gagnon, P. A. Belanger, Phys. Rev. A 43, 6187 (1991).
[Crossref] [PubMed]

Zh. Eksp. Teor. Fiz. (1)

V. I. Karpman, E. M. Maslov, Zh. Eksp. Teor. Fiz. 73, 537 (1977) [Sov. Phys. JETP 46, 281 (1977)].

Other (2)

A. Mattheus, Telekom FTZ, Am Kavalleriesand 3, D-64295 Darmstadt, Germany (personal communication, 1995).

C. T. H. F. Liedenbaum, J. J. E. Reid, L. F. Tiemeijer, A. J. Boot, P. I. Kuindersma, I. Gabitov, A. Mattheus, in Digest of European Conference on Optical Communications (Istituto Internazionale delle Comunicazioni, Genova, Italy, 1994), Vol. 1, p. 233–236; J. J. E. Reid, C. T. H. F. Liedenbaum, L. F. Tiemeijer, P. I. Kuindersma, in Digest of European Conference on Optical Communications (Istituto Internazionale delle Comunicazioni, Genova, Italy, 1994), Vol. 4, p. 61–64.

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Figures (4)

Fig. 1
Fig. 1

Output (for Z = 30, or 10,800 km) temporal profile and spectrum [F = κ/2π; here the quantity 10 log10|q(F)| is shown, where q(F) denotes the Fourier transform of q(T)] with a single soliton input: (a) without filtering, (b) with filtering and frequency shifting.

Fig. 2
Fig. 2

Contour plot of soliton intensity over 10,800 km (a) without and (b) with sliding frequency and filtering.

Fig. 3
Fig. 3

Evolution of the energy and mean frequency 〈κ〉 of the pulse in Fig. 2(b).

Fig. 4
Fig. 4

Two-soliton interactions at 10 Gbits/s with filtering and acousto-optic frequency shifting for (a) α0 = α2 and (b) α0 = α3.

Equations (5)

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q z = 1 - i α 2 g q ,             g T = - g - g 0 T c - g q 2 E sat ,
i Q z + 1 2 Q T T + Q 2 Q = i δ Q + i β Q T T + α 0 T Q - ρ ( α + i ) Q U ( Q , T ) .
Q ( T , Z ) = η sech { η ( T - T 0 ) × exp [ - i κ ( T - T 0 ) ] + i ψ ( Z ) } .
d κ d Z = α 0 - 4 3 β η 2 κ - 2 3 α ρ η 2 , d η d Z = 2 η [ δ - β ( η 2 3 + κ 2 ) - ρ η ] .
κ e = 3 4 β ( α 0 η e 2 - 2 3 α ρ ) , δ = β ( η e 2 3 + κ e 2 ) + ρ η e .

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