Abstract

We study both experimentally and theoretically soliton interaction in the presence of a weak nonsoliton component and show that the existence of a frequency-shifted cw wave results in a temporal shift of the soliton.

© 1994 Optical Society of America

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References

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  1. V. I. Karpman, E. M. Maslow, Sov. Phys. JETP 46, 281 (1977).
  2. J. P. Gordon, H. A. Haus, Opt. Lett. 11, 665 (1986).
    [CrossRef] [PubMed]
  3. J. P. Gordon, Opt. Lett. 8, 596 (1983).
    [CrossRef] [PubMed]
  4. E. M. Dianov, A. V. Luchnikov, A. N. Pilipetskii, A. N. Starodumov, Sov. Lightwave Commun. 1, 37 (1991).
  5. S. M. J. Kelly, Electron. Lett. 28, 806 (1992).
    [CrossRef]
  6. J. T. Ong, R. Takahashi, M. Tsuchia, S.-H. Wong, R. T. Sahara, Y. Ogawa, T. Kamiya, IEEE J. Quantum Electron 29, 1701 (1993).
    [CrossRef]
  7. M. Suzuki, Y. Noda, H. Tanaka, S. Akiba, Y. Kushiro, H. Isshiki, J. Lightwave Technol. LT-5, 1277 (1987).
    [CrossRef]
  8. A. B. Grudinin, D. J. Richardson, D. N. Payne, Electron. Lett. 29, 1860 (1993).
    [CrossRef]
  9. F. M. Mitschke, L. F. Mollenauer, Opt. Lett. 12, 355 (1987).
    [CrossRef] [PubMed]
  10. C. Desem, P. L. Chu, in Optical Solitons—Theory and Experiment, J. R. Taylor, ed., Vol. 10 of Cambridge Studies of Modern Optics (Cambridge U. Press, Cambridge, 1992), Chap. 5.
  11. P. K. A. Wai, C. R. Menyuk, H. H. Chen, Y. C. Lee, Opt. Lett. 12, 628 (1987).
    [CrossRef] [PubMed]

1993 (2)

J. T. Ong, R. Takahashi, M. Tsuchia, S.-H. Wong, R. T. Sahara, Y. Ogawa, T. Kamiya, IEEE J. Quantum Electron 29, 1701 (1993).
[CrossRef]

A. B. Grudinin, D. J. Richardson, D. N. Payne, Electron. Lett. 29, 1860 (1993).
[CrossRef]

1992 (1)

S. M. J. Kelly, Electron. Lett. 28, 806 (1992).
[CrossRef]

1991 (1)

E. M. Dianov, A. V. Luchnikov, A. N. Pilipetskii, A. N. Starodumov, Sov. Lightwave Commun. 1, 37 (1991).

1987 (3)

1986 (1)

1983 (1)

1977 (1)

V. I. Karpman, E. M. Maslow, Sov. Phys. JETP 46, 281 (1977).

Akiba, S.

M. Suzuki, Y. Noda, H. Tanaka, S. Akiba, Y. Kushiro, H. Isshiki, J. Lightwave Technol. LT-5, 1277 (1987).
[CrossRef]

Chen, H. H.

Chu, P. L.

C. Desem, P. L. Chu, in Optical Solitons—Theory and Experiment, J. R. Taylor, ed., Vol. 10 of Cambridge Studies of Modern Optics (Cambridge U. Press, Cambridge, 1992), Chap. 5.

Desem, C.

C. Desem, P. L. Chu, in Optical Solitons—Theory and Experiment, J. R. Taylor, ed., Vol. 10 of Cambridge Studies of Modern Optics (Cambridge U. Press, Cambridge, 1992), Chap. 5.

Dianov, E. M.

E. M. Dianov, A. V. Luchnikov, A. N. Pilipetskii, A. N. Starodumov, Sov. Lightwave Commun. 1, 37 (1991).

Gordon, J. P.

Grudinin, A. B.

A. B. Grudinin, D. J. Richardson, D. N. Payne, Electron. Lett. 29, 1860 (1993).
[CrossRef]

Haus, H. A.

Isshiki, H.

M. Suzuki, Y. Noda, H. Tanaka, S. Akiba, Y. Kushiro, H. Isshiki, J. Lightwave Technol. LT-5, 1277 (1987).
[CrossRef]

Kamiya, T.

J. T. Ong, R. Takahashi, M. Tsuchia, S.-H. Wong, R. T. Sahara, Y. Ogawa, T. Kamiya, IEEE J. Quantum Electron 29, 1701 (1993).
[CrossRef]

Karpman, V. I.

V. I. Karpman, E. M. Maslow, Sov. Phys. JETP 46, 281 (1977).

Kelly, S. M. J.

S. M. J. Kelly, Electron. Lett. 28, 806 (1992).
[CrossRef]

Kushiro, Y.

M. Suzuki, Y. Noda, H. Tanaka, S. Akiba, Y. Kushiro, H. Isshiki, J. Lightwave Technol. LT-5, 1277 (1987).
[CrossRef]

Lee, Y. C.

Luchnikov, A. V.

E. M. Dianov, A. V. Luchnikov, A. N. Pilipetskii, A. N. Starodumov, Sov. Lightwave Commun. 1, 37 (1991).

Maslow, E. M.

V. I. Karpman, E. M. Maslow, Sov. Phys. JETP 46, 281 (1977).

Menyuk, C. R.

Mitschke, F. M.

Mollenauer, L. F.

Noda, Y.

M. Suzuki, Y. Noda, H. Tanaka, S. Akiba, Y. Kushiro, H. Isshiki, J. Lightwave Technol. LT-5, 1277 (1987).
[CrossRef]

Ogawa, Y.

J. T. Ong, R. Takahashi, M. Tsuchia, S.-H. Wong, R. T. Sahara, Y. Ogawa, T. Kamiya, IEEE J. Quantum Electron 29, 1701 (1993).
[CrossRef]

Ong, J. T.

J. T. Ong, R. Takahashi, M. Tsuchia, S.-H. Wong, R. T. Sahara, Y. Ogawa, T. Kamiya, IEEE J. Quantum Electron 29, 1701 (1993).
[CrossRef]

Payne, D. N.

A. B. Grudinin, D. J. Richardson, D. N. Payne, Electron. Lett. 29, 1860 (1993).
[CrossRef]

Pilipetskii, A. N.

E. M. Dianov, A. V. Luchnikov, A. N. Pilipetskii, A. N. Starodumov, Sov. Lightwave Commun. 1, 37 (1991).

Richardson, D. J.

A. B. Grudinin, D. J. Richardson, D. N. Payne, Electron. Lett. 29, 1860 (1993).
[CrossRef]

Sahara, R. T.

J. T. Ong, R. Takahashi, M. Tsuchia, S.-H. Wong, R. T. Sahara, Y. Ogawa, T. Kamiya, IEEE J. Quantum Electron 29, 1701 (1993).
[CrossRef]

Starodumov, A. N.

E. M. Dianov, A. V. Luchnikov, A. N. Pilipetskii, A. N. Starodumov, Sov. Lightwave Commun. 1, 37 (1991).

Suzuki, M.

M. Suzuki, Y. Noda, H. Tanaka, S. Akiba, Y. Kushiro, H. Isshiki, J. Lightwave Technol. LT-5, 1277 (1987).
[CrossRef]

Takahashi, R.

J. T. Ong, R. Takahashi, M. Tsuchia, S.-H. Wong, R. T. Sahara, Y. Ogawa, T. Kamiya, IEEE J. Quantum Electron 29, 1701 (1993).
[CrossRef]

Tanaka, H.

M. Suzuki, Y. Noda, H. Tanaka, S. Akiba, Y. Kushiro, H. Isshiki, J. Lightwave Technol. LT-5, 1277 (1987).
[CrossRef]

Tsuchia, M.

J. T. Ong, R. Takahashi, M. Tsuchia, S.-H. Wong, R. T. Sahara, Y. Ogawa, T. Kamiya, IEEE J. Quantum Electron 29, 1701 (1993).
[CrossRef]

Wai, P. K. A.

Wong, S.-H.

J. T. Ong, R. Takahashi, M. Tsuchia, S.-H. Wong, R. T. Sahara, Y. Ogawa, T. Kamiya, IEEE J. Quantum Electron 29, 1701 (1993).
[CrossRef]

Electron. Lett. (2)

S. M. J. Kelly, Electron. Lett. 28, 806 (1992).
[CrossRef]

A. B. Grudinin, D. J. Richardson, D. N. Payne, Electron. Lett. 29, 1860 (1993).
[CrossRef]

IEEE J. Quantum Electron (1)

J. T. Ong, R. Takahashi, M. Tsuchia, S.-H. Wong, R. T. Sahara, Y. Ogawa, T. Kamiya, IEEE J. Quantum Electron 29, 1701 (1993).
[CrossRef]

J. Lightwave Technol. (1)

M. Suzuki, Y. Noda, H. Tanaka, S. Akiba, Y. Kushiro, H. Isshiki, J. Lightwave Technol. LT-5, 1277 (1987).
[CrossRef]

Opt. Lett. (4)

Sov. Lightwave Commun. (1)

E. M. Dianov, A. V. Luchnikov, A. N. Pilipetskii, A. N. Starodumov, Sov. Lightwave Commun. 1, 37 (1991).

Sov. Phys. JETP (1)

V. I. Karpman, E. M. Maslow, Sov. Phys. JETP 46, 281 (1977).

Other (1)

C. Desem, P. L. Chu, in Optical Solitons—Theory and Experiment, J. R. Taylor, ed., Vol. 10 of Cambridge Studies of Modern Optics (Cambridge U. Press, Cambridge, 1992), Chap. 5.

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Figures (4)

Fig. 1
Fig. 1

Experimental configuration: WDM’s, wavelength-division multiplexers; STF, standard telecommunication fiber; PC’s, polarization controllers.

Fig. 2
Fig. 2

Pulse separation at the output versus that at the input of a 2-km fiber when interacting solitons are in phase (open circles) and in opposite phase (filled circles). The solid curve is theoretical prediction based on Eq. (1) of Ref. 9. The fraction of the nonsoliton component is less than 1%.

Fig. 3
Fig. 3

Same as Fig. 2 but with the fraction of the nonsoliton component increased to 10%.

Fig. 4
Fig. 4

Same as Fig. 2 but with the fraction of the nonsoliton component increased to 20%.

Equations (5)

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ψ 0 ( t ) = ψ S ( t ) + δ ψ ( t ) ,
δ ψ ( t , τ in ) = A exp j ϕ { exp j Ω t + exp [ j Ω ( t - τ in ) - θ ] } ,
δ η ( τ in , Ω ) = A π sech ( π Ω ) 2 [ cos ϕ + cos ( Ω τ in - ϕ + θ ) ] ,
δ V ( τ in , Ω ) = Ω δ η ( τ in , Ω ) ,
τ out ( τ in ) = τ in + z [ δ V ( 0 ) - δ V ( τ in ) ] = τ in ± A z Ω π sech ( π Ω ) 2 sin ( Ω τ in )

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