Abstract

We show that, owing to the generation of soliton bound states, the interaction between optical fiber solitons can be fully suppressed by means of narrow-band Butterworth-type filters with flat-topped transmission characteristics.

© 1996 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, H. Hasegawa, Opt. Lett. 17, 31 (1992).
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  2. Y. Kodama, S. Wabnitz, Opt. Lett. 18, 1311 (1993); Y. Kodama, M. Romagnoli, S. Wabnitz, Electron. Lett. 28, 1981 (1992).
    [CrossRef] [PubMed]
  3. L. F. Mollenauer, J. P. Gordon, S. J. Evangelides, Opt. Lett. 17, 1575 (1992).
    [CrossRef] [PubMed]
  4. M. Suzuki, N. Edagawa, H. Taga, H. Tanaka, S. Yamamoto, Y. Takahashi, S. Akiba, Inst. Electron. Information Commun. Eng. Trans. Electron. E78-C, 12 (1995).
  5. A. Mecozzi, Opt. Lett. 20, 1859 (1995).
  6. Y. Kodama, M. Romagnoli, M. Midrio, S. Wabnitz, Opt. Lett. 19, 165 (1994).
    [CrossRef] [PubMed]
  7. B. A. Malomed, Phys. Rev. A 44, 6954 (1991); Phys. Rev. E 47, 2874 (1993).
    [CrossRef] [PubMed]
  8. I. M. Uzunov, R. Muschall, M. Gölles, F. Lederer, S. Wabnitz, Opt. Lett. 118, 577 (1995).
  9. G. Boffetta, A. R. Osborne, J. Comp. Phys. 102, 252 (1992).
    [CrossRef]

1995

M. Suzuki, N. Edagawa, H. Taga, H. Tanaka, S. Yamamoto, Y. Takahashi, S. Akiba, Inst. Electron. Information Commun. Eng. Trans. Electron. E78-C, 12 (1995).

I. M. Uzunov, R. Muschall, M. Gölles, F. Lederer, S. Wabnitz, Opt. Lett. 118, 577 (1995).

A. Mecozzi, Opt. Lett. 20, 1859 (1995).

1994

1993

1992

1991

Akiba, S.

M. Suzuki, N. Edagawa, H. Taga, H. Tanaka, S. Yamamoto, Y. Takahashi, S. Akiba, Inst. Electron. Information Commun. Eng. Trans. Electron. E78-C, 12 (1995).

Boffetta, G.

G. Boffetta, A. R. Osborne, J. Comp. Phys. 102, 252 (1992).
[CrossRef]

Edagawa, N.

M. Suzuki, N. Edagawa, H. Taga, H. Tanaka, S. Yamamoto, Y. Takahashi, S. Akiba, Inst. Electron. Information Commun. Eng. Trans. Electron. E78-C, 12 (1995).

Evangelides, S. J.

Gölles, M.

I. M. Uzunov, R. Muschall, M. Gölles, F. Lederer, S. Wabnitz, Opt. Lett. 118, 577 (1995).

Gordon, J. P.

Haus, H. A.

Kodama, Y.

Lai, Y.

Lederer, F.

I. M. Uzunov, R. Muschall, M. Gölles, F. Lederer, S. Wabnitz, Opt. Lett. 118, 577 (1995).

Malomed, B. A.

B. A. Malomed, Phys. Rev. A 44, 6954 (1991); Phys. Rev. E 47, 2874 (1993).
[CrossRef] [PubMed]

Mecozzi, A.

Midrio, M.

Mollenauer, L. F.

Moores, J. D.

Muschall, R.

I. M. Uzunov, R. Muschall, M. Gölles, F. Lederer, S. Wabnitz, Opt. Lett. 118, 577 (1995).

Osborne, A. R.

G. Boffetta, A. R. Osborne, J. Comp. Phys. 102, 252 (1992).
[CrossRef]

Romagnoli, M.

Suzuki, M.

M. Suzuki, N. Edagawa, H. Taga, H. Tanaka, S. Yamamoto, Y. Takahashi, S. Akiba, Inst. Electron. Information Commun. Eng. Trans. Electron. E78-C, 12 (1995).

Taga, H.

M. Suzuki, N. Edagawa, H. Taga, H. Tanaka, S. Yamamoto, Y. Takahashi, S. Akiba, Inst. Electron. Information Commun. Eng. Trans. Electron. E78-C, 12 (1995).

Takahashi, Y.

M. Suzuki, N. Edagawa, H. Taga, H. Tanaka, S. Yamamoto, Y. Takahashi, S. Akiba, Inst. Electron. Information Commun. Eng. Trans. Electron. E78-C, 12 (1995).

Tanaka, H.

M. Suzuki, N. Edagawa, H. Taga, H. Tanaka, S. Yamamoto, Y. Takahashi, S. Akiba, Inst. Electron. Information Commun. Eng. Trans. Electron. E78-C, 12 (1995).

Uzunov, I. M.

I. M. Uzunov, R. Muschall, M. Gölles, F. Lederer, S. Wabnitz, Opt. Lett. 118, 577 (1995).

Wabnitz, S.

Yamamoto, S.

M. Suzuki, N. Edagawa, H. Taga, H. Tanaka, S. Yamamoto, Y. Takahashi, S. Akiba, Inst. Electron. Information Commun. Eng. Trans. Electron. E78-C, 12 (1995).

Inst. Electron. Information Commun. Eng. Trans. Electron.

M. Suzuki, N. Edagawa, H. Taga, H. Tanaka, S. Yamamoto, Y. Takahashi, S. Akiba, Inst. Electron. Information Commun. Eng. Trans. Electron. E78-C, 12 (1995).

J. Comp. Phys.

G. Boffetta, A. R. Osborne, J. Comp. Phys. 102, 252 (1992).
[CrossRef]

Opt. Lett.

Phys. Rev. A

B. A. Malomed, Phys. Rev. A 44, 6954 (1991); Phys. Rev. E 47, 2874 (1993).
[CrossRef] [PubMed]

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Figures (7)

Fig. 1
Fig. 1

Soliton spectrum and transmission of filters with the same bandwidth and different orders N.

Fig. 2
Fig. 2

Interactions of in-phase solitons with N = 5 filtering: (a) collision for Δ = 7.6, (b) attraction to the bound state for Δ = 7.7.

Fig. 3
Fig. 3

Same as Fig. 2 but with (a) Δ = 10, (b) Δ = 11.

Fig. 4
Fig. 4

Same as Fig. 3 but with π out-of-phase solitons and (a) Δ = 8.4, (b) Δ = 9.

Fig. 5
Fig. 5

(a) Real part κ and (b) imaginary part η of two-soliton eigenvalues for Fig. 2(b).

Fig. 6
Fig. 6

Same as Fig. 5 but with r = 1.01.

Fig. 7
Fig. 7

Suppression of interactions with lumped N = 2 BF’s: (a) two solitons, Δ = 7.7; (b) three solitons, Δ = 8.

Equations (4)

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u Z i 2 u T T i | u | 2 u = δ u β ( i δ T ) 2 N u ,
u ( T , Z = 0 ) u 0 = sech ( T Δ / 2 ) + r exp ( i ϕ ) sech ( T + Δ / 2 ) .
P N ( x ) = i β ( 1 ) N ( η + i x ) 2 N x 2 + 2 i η x i δ .
sin ( ϕ ) = 0 , cos ( k Δ ) + ( k / η ) sin ( k Δ ) = 0 ,

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