Abstract

By adiabatic amplification of a periodically modulated cw signal in an optical fiber, a train of approximately independent solitons can be generated at a high repetition rate (up to the terahertz range). These pulse trains can be produced with fibers having slowly varying dispersion as well.

© 1989 Optical Society of America

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  1. E. M. Dianov, P. V. Mamyshev, A. M. Prokhorov, Kvantovaya Elektron. (Moscow) 15, 5 (1988) [Sov. J. Quantum Electron. 18, 1 (1988)].
  2. L. F. Mollenauer, R. H. Stolen, J. P. Gordon, Phys. Rev. Lett. 45, 1095 (1980).
    [Crossref]
  3. L. F. Mollenauer, R. H. Stolen, Opt. Lett. 9, 13 (1984).
    [Crossref] [PubMed]
  4. M. N. Islam, L. F. Mollenauer, R. H. Stolen, in Ultrafast Phenomena V, Vol. 46 of Springer Series in Chemical Physics, G. R. Fleming, A. E. Siegman, eds. (Springer-Verlag, Berlin, 1986), p. 46.
  5. B. Zysset, P. Beaud, W. Hodel, H. P. Weber, in Ultrafast Phenomena V, Vol. 46 of Springer Series in Chemical Physics, G. R. Fleming, A. E. Siegman, eds. (Springer-Verlag, Berlin, 1986), p. 54.
  6. J. D. Kafka, T. Baer, Opt. Lett. 12, 181 (1987).
    [Crossref] [PubMed]
  7. A. S. Gouveia-Neto, A. S. L. Gomes, J. R. Taylor, IEEE J. Quantum Electron. QE-24, 332 (1988).
    [Crossref]
  8. E. M. Dianov, A. Ya. Karasik, P. V. Mamyshev, A. M. Prokhorov, V. N. Serkin, M. F. Stelmakh, A. A. Formichev, Pis’ma Zh. Eksp. Teor. Fiz. 41, 242 (1985).
  9. B. Zysset, P. Beaud, W. Hodel, Appl. Phys. Lett. 50, 1027 (1987).
    [Crossref]
  10. A. B. Grudinin, E. M. Dianov, D. V. Korobkin, A. M. Prokhorov, D. V. Khaidarov, Pis’ma Zh. Eksp. Teor. Fiz. 45, 211 (1987).
  11. A. Hasegawa, Opt. Lett. 9, 288 (1984).
    [Crossref] [PubMed]
  12. K. Tai, A. Tomita, J. L. Jewell, A. Hasegawa, Appl. Phys. Lett. 49, 236 (1986).
    [Crossref]
  13. A. Hasegawa, Opt. Lett. 8, 650 (1983).
    [Crossref] [PubMed]
  14. L. F. Mollenauer, R. H. Stolen, M. N. Islam, Opt. Lett. 10, 229 (1985).
    [Crossref] [PubMed]
  15. B. S. Azimov, S. K. Isaev, S. N. Luzgin, D. V. Trukhov, Izv. Akad. Nauk Ser. Fiz. 50, 2268 (1986).
  16. K. J. Blow, N. J. Doran, D. Wood, J. Opt. Soc. Am. B 5, 381 (1988).
    [Crossref]
  17. K. Tajima, Opt. Lett. 12, 54 (1987).
    [Crossref] [PubMed]
  18. H. H. Kuehl, J. Opt. Soc. Am. B 5, 709 (1988).
    [Crossref]
  19. E. M. Dianov, L. M. Ivanov, P. V. Mamyshev, A. M. Prokhorov, in Digest of Topical Meeting on Nonlinear Guided Wave Phenomena: Physics and Applications (Optical Society of America, Washington, D.C., 1989), pp. 157–160.
  20. E. A. Golovchenko, E. M. Dianov, A. S. Kurkov, P. V. Mamyshev, A. M. Prokhorov, S. V. Chernikov, in Proceedings of the International Quantum Electronics Conference (Optical Society of America, Washington, D.C., 1988), paper PD-32, p. 70.
  21. G. P. Gordon, Opt. Lett. 8, 596 (1983).
    [Crossref] [PubMed]
  22. L. F. Mollenauer, J. P. Gordon, M. N. Islam, IEEE J. Quantum Electron. QE-22, 157 (1986).
    [Crossref]

1988 (4)

E. M. Dianov, P. V. Mamyshev, A. M. Prokhorov, Kvantovaya Elektron. (Moscow) 15, 5 (1988) [Sov. J. Quantum Electron. 18, 1 (1988)].

A. S. Gouveia-Neto, A. S. L. Gomes, J. R. Taylor, IEEE J. Quantum Electron. QE-24, 332 (1988).
[Crossref]

K. J. Blow, N. J. Doran, D. Wood, J. Opt. Soc. Am. B 5, 381 (1988).
[Crossref]

H. H. Kuehl, J. Opt. Soc. Am. B 5, 709 (1988).
[Crossref]

1987 (4)

K. Tajima, Opt. Lett. 12, 54 (1987).
[Crossref] [PubMed]

B. Zysset, P. Beaud, W. Hodel, Appl. Phys. Lett. 50, 1027 (1987).
[Crossref]

A. B. Grudinin, E. M. Dianov, D. V. Korobkin, A. M. Prokhorov, D. V. Khaidarov, Pis’ma Zh. Eksp. Teor. Fiz. 45, 211 (1987).

J. D. Kafka, T. Baer, Opt. Lett. 12, 181 (1987).
[Crossref] [PubMed]

1986 (3)

K. Tai, A. Tomita, J. L. Jewell, A. Hasegawa, Appl. Phys. Lett. 49, 236 (1986).
[Crossref]

B. S. Azimov, S. K. Isaev, S. N. Luzgin, D. V. Trukhov, Izv. Akad. Nauk Ser. Fiz. 50, 2268 (1986).

L. F. Mollenauer, J. P. Gordon, M. N. Islam, IEEE J. Quantum Electron. QE-22, 157 (1986).
[Crossref]

1985 (2)

L. F. Mollenauer, R. H. Stolen, M. N. Islam, Opt. Lett. 10, 229 (1985).
[Crossref] [PubMed]

E. M. Dianov, A. Ya. Karasik, P. V. Mamyshev, A. M. Prokhorov, V. N. Serkin, M. F. Stelmakh, A. A. Formichev, Pis’ma Zh. Eksp. Teor. Fiz. 41, 242 (1985).

1984 (2)

1983 (2)

1980 (1)

L. F. Mollenauer, R. H. Stolen, J. P. Gordon, Phys. Rev. Lett. 45, 1095 (1980).
[Crossref]

Azimov, B. S.

B. S. Azimov, S. K. Isaev, S. N. Luzgin, D. V. Trukhov, Izv. Akad. Nauk Ser. Fiz. 50, 2268 (1986).

Baer, T.

Beaud, P.

B. Zysset, P. Beaud, W. Hodel, Appl. Phys. Lett. 50, 1027 (1987).
[Crossref]

B. Zysset, P. Beaud, W. Hodel, H. P. Weber, in Ultrafast Phenomena V, Vol. 46 of Springer Series in Chemical Physics, G. R. Fleming, A. E. Siegman, eds. (Springer-Verlag, Berlin, 1986), p. 54.

Blow, K. J.

Chernikov, S. V.

E. A. Golovchenko, E. M. Dianov, A. S. Kurkov, P. V. Mamyshev, A. M. Prokhorov, S. V. Chernikov, in Proceedings of the International Quantum Electronics Conference (Optical Society of America, Washington, D.C., 1988), paper PD-32, p. 70.

Dianov, E. M.

E. M. Dianov, P. V. Mamyshev, A. M. Prokhorov, Kvantovaya Elektron. (Moscow) 15, 5 (1988) [Sov. J. Quantum Electron. 18, 1 (1988)].

A. B. Grudinin, E. M. Dianov, D. V. Korobkin, A. M. Prokhorov, D. V. Khaidarov, Pis’ma Zh. Eksp. Teor. Fiz. 45, 211 (1987).

E. M. Dianov, A. Ya. Karasik, P. V. Mamyshev, A. M. Prokhorov, V. N. Serkin, M. F. Stelmakh, A. A. Formichev, Pis’ma Zh. Eksp. Teor. Fiz. 41, 242 (1985).

E. M. Dianov, L. M. Ivanov, P. V. Mamyshev, A. M. Prokhorov, in Digest of Topical Meeting on Nonlinear Guided Wave Phenomena: Physics and Applications (Optical Society of America, Washington, D.C., 1989), pp. 157–160.

E. A. Golovchenko, E. M. Dianov, A. S. Kurkov, P. V. Mamyshev, A. M. Prokhorov, S. V. Chernikov, in Proceedings of the International Quantum Electronics Conference (Optical Society of America, Washington, D.C., 1988), paper PD-32, p. 70.

Doran, N. J.

Formichev, A. A.

E. M. Dianov, A. Ya. Karasik, P. V. Mamyshev, A. M. Prokhorov, V. N. Serkin, M. F. Stelmakh, A. A. Formichev, Pis’ma Zh. Eksp. Teor. Fiz. 41, 242 (1985).

Golovchenko, E. A.

E. A. Golovchenko, E. M. Dianov, A. S. Kurkov, P. V. Mamyshev, A. M. Prokhorov, S. V. Chernikov, in Proceedings of the International Quantum Electronics Conference (Optical Society of America, Washington, D.C., 1988), paper PD-32, p. 70.

Gomes, A. S. L.

A. S. Gouveia-Neto, A. S. L. Gomes, J. R. Taylor, IEEE J. Quantum Electron. QE-24, 332 (1988).
[Crossref]

Gordon, G. P.

Gordon, J. P.

L. F. Mollenauer, J. P. Gordon, M. N. Islam, IEEE J. Quantum Electron. QE-22, 157 (1986).
[Crossref]

L. F. Mollenauer, R. H. Stolen, J. P. Gordon, Phys. Rev. Lett. 45, 1095 (1980).
[Crossref]

Gouveia-Neto, A. S.

A. S. Gouveia-Neto, A. S. L. Gomes, J. R. Taylor, IEEE J. Quantum Electron. QE-24, 332 (1988).
[Crossref]

Grudinin, A. B.

A. B. Grudinin, E. M. Dianov, D. V. Korobkin, A. M. Prokhorov, D. V. Khaidarov, Pis’ma Zh. Eksp. Teor. Fiz. 45, 211 (1987).

Hasegawa, A.

Hodel, W.

B. Zysset, P. Beaud, W. Hodel, Appl. Phys. Lett. 50, 1027 (1987).
[Crossref]

B. Zysset, P. Beaud, W. Hodel, H. P. Weber, in Ultrafast Phenomena V, Vol. 46 of Springer Series in Chemical Physics, G. R. Fleming, A. E. Siegman, eds. (Springer-Verlag, Berlin, 1986), p. 54.

Isaev, S. K.

B. S. Azimov, S. K. Isaev, S. N. Luzgin, D. V. Trukhov, Izv. Akad. Nauk Ser. Fiz. 50, 2268 (1986).

Islam, M. N.

L. F. Mollenauer, J. P. Gordon, M. N. Islam, IEEE J. Quantum Electron. QE-22, 157 (1986).
[Crossref]

L. F. Mollenauer, R. H. Stolen, M. N. Islam, Opt. Lett. 10, 229 (1985).
[Crossref] [PubMed]

M. N. Islam, L. F. Mollenauer, R. H. Stolen, in Ultrafast Phenomena V, Vol. 46 of Springer Series in Chemical Physics, G. R. Fleming, A. E. Siegman, eds. (Springer-Verlag, Berlin, 1986), p. 46.

Ivanov, L. M.

E. M. Dianov, L. M. Ivanov, P. V. Mamyshev, A. M. Prokhorov, in Digest of Topical Meeting on Nonlinear Guided Wave Phenomena: Physics and Applications (Optical Society of America, Washington, D.C., 1989), pp. 157–160.

Jewell, J. L.

K. Tai, A. Tomita, J. L. Jewell, A. Hasegawa, Appl. Phys. Lett. 49, 236 (1986).
[Crossref]

Kafka, J. D.

Karasik, A. Ya.

E. M. Dianov, A. Ya. Karasik, P. V. Mamyshev, A. M. Prokhorov, V. N. Serkin, M. F. Stelmakh, A. A. Formichev, Pis’ma Zh. Eksp. Teor. Fiz. 41, 242 (1985).

Khaidarov, D. V.

A. B. Grudinin, E. M. Dianov, D. V. Korobkin, A. M. Prokhorov, D. V. Khaidarov, Pis’ma Zh. Eksp. Teor. Fiz. 45, 211 (1987).

Korobkin, D. V.

A. B. Grudinin, E. M. Dianov, D. V. Korobkin, A. M. Prokhorov, D. V. Khaidarov, Pis’ma Zh. Eksp. Teor. Fiz. 45, 211 (1987).

Kuehl, H. H.

Kurkov, A. S.

E. A. Golovchenko, E. M. Dianov, A. S. Kurkov, P. V. Mamyshev, A. M. Prokhorov, S. V. Chernikov, in Proceedings of the International Quantum Electronics Conference (Optical Society of America, Washington, D.C., 1988), paper PD-32, p. 70.

Luzgin, S. N.

B. S. Azimov, S. K. Isaev, S. N. Luzgin, D. V. Trukhov, Izv. Akad. Nauk Ser. Fiz. 50, 2268 (1986).

Mamyshev, P. V.

E. M. Dianov, P. V. Mamyshev, A. M. Prokhorov, Kvantovaya Elektron. (Moscow) 15, 5 (1988) [Sov. J. Quantum Electron. 18, 1 (1988)].

E. M. Dianov, A. Ya. Karasik, P. V. Mamyshev, A. M. Prokhorov, V. N. Serkin, M. F. Stelmakh, A. A. Formichev, Pis’ma Zh. Eksp. Teor. Fiz. 41, 242 (1985).

E. A. Golovchenko, E. M. Dianov, A. S. Kurkov, P. V. Mamyshev, A. M. Prokhorov, S. V. Chernikov, in Proceedings of the International Quantum Electronics Conference (Optical Society of America, Washington, D.C., 1988), paper PD-32, p. 70.

E. M. Dianov, L. M. Ivanov, P. V. Mamyshev, A. M. Prokhorov, in Digest of Topical Meeting on Nonlinear Guided Wave Phenomena: Physics and Applications (Optical Society of America, Washington, D.C., 1989), pp. 157–160.

Mollenauer, L. F.

L. F. Mollenauer, J. P. Gordon, M. N. Islam, IEEE J. Quantum Electron. QE-22, 157 (1986).
[Crossref]

L. F. Mollenauer, R. H. Stolen, M. N. Islam, Opt. Lett. 10, 229 (1985).
[Crossref] [PubMed]

L. F. Mollenauer, R. H. Stolen, Opt. Lett. 9, 13 (1984).
[Crossref] [PubMed]

L. F. Mollenauer, R. H. Stolen, J. P. Gordon, Phys. Rev. Lett. 45, 1095 (1980).
[Crossref]

M. N. Islam, L. F. Mollenauer, R. H. Stolen, in Ultrafast Phenomena V, Vol. 46 of Springer Series in Chemical Physics, G. R. Fleming, A. E. Siegman, eds. (Springer-Verlag, Berlin, 1986), p. 46.

Prokhorov, A. M.

E. M. Dianov, P. V. Mamyshev, A. M. Prokhorov, Kvantovaya Elektron. (Moscow) 15, 5 (1988) [Sov. J. Quantum Electron. 18, 1 (1988)].

A. B. Grudinin, E. M. Dianov, D. V. Korobkin, A. M. Prokhorov, D. V. Khaidarov, Pis’ma Zh. Eksp. Teor. Fiz. 45, 211 (1987).

E. M. Dianov, A. Ya. Karasik, P. V. Mamyshev, A. M. Prokhorov, V. N. Serkin, M. F. Stelmakh, A. A. Formichev, Pis’ma Zh. Eksp. Teor. Fiz. 41, 242 (1985).

E. M. Dianov, L. M. Ivanov, P. V. Mamyshev, A. M. Prokhorov, in Digest of Topical Meeting on Nonlinear Guided Wave Phenomena: Physics and Applications (Optical Society of America, Washington, D.C., 1989), pp. 157–160.

E. A. Golovchenko, E. M. Dianov, A. S. Kurkov, P. V. Mamyshev, A. M. Prokhorov, S. V. Chernikov, in Proceedings of the International Quantum Electronics Conference (Optical Society of America, Washington, D.C., 1988), paper PD-32, p. 70.

Serkin, V. N.

E. M. Dianov, A. Ya. Karasik, P. V. Mamyshev, A. M. Prokhorov, V. N. Serkin, M. F. Stelmakh, A. A. Formichev, Pis’ma Zh. Eksp. Teor. Fiz. 41, 242 (1985).

Stelmakh, M. F.

E. M. Dianov, A. Ya. Karasik, P. V. Mamyshev, A. M. Prokhorov, V. N. Serkin, M. F. Stelmakh, A. A. Formichev, Pis’ma Zh. Eksp. Teor. Fiz. 41, 242 (1985).

Stolen, R. H.

L. F. Mollenauer, R. H. Stolen, M. N. Islam, Opt. Lett. 10, 229 (1985).
[Crossref] [PubMed]

L. F. Mollenauer, R. H. Stolen, Opt. Lett. 9, 13 (1984).
[Crossref] [PubMed]

L. F. Mollenauer, R. H. Stolen, J. P. Gordon, Phys. Rev. Lett. 45, 1095 (1980).
[Crossref]

M. N. Islam, L. F. Mollenauer, R. H. Stolen, in Ultrafast Phenomena V, Vol. 46 of Springer Series in Chemical Physics, G. R. Fleming, A. E. Siegman, eds. (Springer-Verlag, Berlin, 1986), p. 46.

Tai, K.

K. Tai, A. Tomita, J. L. Jewell, A. Hasegawa, Appl. Phys. Lett. 49, 236 (1986).
[Crossref]

Tajima, K.

Taylor, J. R.

A. S. Gouveia-Neto, A. S. L. Gomes, J. R. Taylor, IEEE J. Quantum Electron. QE-24, 332 (1988).
[Crossref]

Tomita, A.

K. Tai, A. Tomita, J. L. Jewell, A. Hasegawa, Appl. Phys. Lett. 49, 236 (1986).
[Crossref]

Trukhov, D. V.

B. S. Azimov, S. K. Isaev, S. N. Luzgin, D. V. Trukhov, Izv. Akad. Nauk Ser. Fiz. 50, 2268 (1986).

Weber, H. P.

B. Zysset, P. Beaud, W. Hodel, H. P. Weber, in Ultrafast Phenomena V, Vol. 46 of Springer Series in Chemical Physics, G. R. Fleming, A. E. Siegman, eds. (Springer-Verlag, Berlin, 1986), p. 54.

Wood, D.

Zysset, B.

B. Zysset, P. Beaud, W. Hodel, Appl. Phys. Lett. 50, 1027 (1987).
[Crossref]

B. Zysset, P. Beaud, W. Hodel, H. P. Weber, in Ultrafast Phenomena V, Vol. 46 of Springer Series in Chemical Physics, G. R. Fleming, A. E. Siegman, eds. (Springer-Verlag, Berlin, 1986), p. 54.

Appl. Phys. Lett. (2)

B. Zysset, P. Beaud, W. Hodel, Appl. Phys. Lett. 50, 1027 (1987).
[Crossref]

K. Tai, A. Tomita, J. L. Jewell, A. Hasegawa, Appl. Phys. Lett. 49, 236 (1986).
[Crossref]

IEEE J. Quantum Electron. (2)

A. S. Gouveia-Neto, A. S. L. Gomes, J. R. Taylor, IEEE J. Quantum Electron. QE-24, 332 (1988).
[Crossref]

L. F. Mollenauer, J. P. Gordon, M. N. Islam, IEEE J. Quantum Electron. QE-22, 157 (1986).
[Crossref]

Izv. Akad. Nauk Ser. Fiz. (1)

B. S. Azimov, S. K. Isaev, S. N. Luzgin, D. V. Trukhov, Izv. Akad. Nauk Ser. Fiz. 50, 2268 (1986).

J. Opt. Soc. Am. B (2)

Kvantovaya Elektron. (Moscow) (1)

E. M. Dianov, P. V. Mamyshev, A. M. Prokhorov, Kvantovaya Elektron. (Moscow) 15, 5 (1988) [Sov. J. Quantum Electron. 18, 1 (1988)].

Opt. Lett. (7)

Phys. Rev. Lett. (1)

L. F. Mollenauer, R. H. Stolen, J. P. Gordon, Phys. Rev. Lett. 45, 1095 (1980).
[Crossref]

Pis’ma Zh. Eksp. Teor. Fiz. (2)

E. M. Dianov, A. Ya. Karasik, P. V. Mamyshev, A. M. Prokhorov, V. N. Serkin, M. F. Stelmakh, A. A. Formichev, Pis’ma Zh. Eksp. Teor. Fiz. 41, 242 (1985).

A. B. Grudinin, E. M. Dianov, D. V. Korobkin, A. M. Prokhorov, D. V. Khaidarov, Pis’ma Zh. Eksp. Teor. Fiz. 45, 211 (1987).

Other (4)

M. N. Islam, L. F. Mollenauer, R. H. Stolen, in Ultrafast Phenomena V, Vol. 46 of Springer Series in Chemical Physics, G. R. Fleming, A. E. Siegman, eds. (Springer-Verlag, Berlin, 1986), p. 46.

B. Zysset, P. Beaud, W. Hodel, H. P. Weber, in Ultrafast Phenomena V, Vol. 46 of Springer Series in Chemical Physics, G. R. Fleming, A. E. Siegman, eds. (Springer-Verlag, Berlin, 1986), p. 54.

E. M. Dianov, L. M. Ivanov, P. V. Mamyshev, A. M. Prokhorov, in Digest of Topical Meeting on Nonlinear Guided Wave Phenomena: Physics and Applications (Optical Society of America, Washington, D.C., 1989), pp. 157–160.

E. A. Golovchenko, E. M. Dianov, A. S. Kurkov, P. V. Mamyshev, A. M. Prokhorov, S. V. Chernikov, in Proceedings of the International Quantum Electronics Conference (Optical Society of America, Washington, D.C., 1988), paper PD-32, p. 70.

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Figures (3)

Fig. 1
Fig. 1

Train of fundamental solitons formed by amplification of a signal [Eq. (2)], where a = 1, T = 2, α = 0.4, L = 3.63.

Fig. 2
Fig. 2

Similar to Fig. 1 but with the intensity plotted logarithmically: solid curve, for those parameters shown in Fig. 1; dashed curve, a = 2, α = 0.6, L = 1.84.

Fig. 3
Fig. 3

Train of dark solitons formed by amplification of a signal [Eq. (2)] in the positive fiber group-velocity dispersion region. The parameters are a = 1, α = 0.4, L = 5.

Equations (9)

Equations on this page are rendered with MathJax. Learn more.

i ψ ξ = 1 2 [  sin  ( 2 k ω 2 ) ω 0 ] 2 χ τ 2 + | ψ | 2 ψ + iαψ ,
E ˜ ( z , t ) = E ( z , t ) exp  ( i ω 0 t ikz ) , ψ ( z , t ) = E ( z , t ) E 0 , ξ = z / z d , τ = t z / ν t 0 , ν = ( ω k ) ω 0 , z d = t 0 2 | ( 2 k ω 2 ) ω 0 | , E 0 2 = λ π n 2 t 0 2 | ( 2 k ω 2 ) ω 0 | ,
ψ ( 0 , τ ) = a sin  ( πτ / T ) .
τ p = 7 . 05 aT exp ( 2 αL ) .
τ p = 7 . 05 aT exp [ 2 0 4 α ( ξ ) d ξ ] .
i χ ξ = 1 2 β ( ξ ) 2 ψ τ 2 + | ψ | 2 ψ , β ( 0 ) = 1 ,
i V η = 1 2 2 V τ 2 + | V | 2 V i Γ ( η ) V ,
Γ ( η ) = 1 2 β η 1 β
ψ = β ( ξ ) V , η = 0 ξ β ( ξ ) d ξ .

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