Abstract

We obtain the adiabatic compression of femtosecond solitons in fibers with slowly decreasing dispersion (FSDD’s) and discover the effect of soliton pulse-width stabilization in FSDD’s. A theoretical model for the description of femtosecond-pulse propagation in FSDD’s is presented. The model takes into account higher-order nonlinear and dispersive effects in fibers. We present numerical simulations of a generalized nonlinear Schrödinger equation and the adiabatic soliton approximation theory as well. Good quantitative agreement between the theory and the experiments is seen. The effect of soliton pulse-width stabilization in FSDD’s is described as a result of the combined action of the third-order dispersion and Raman self-scattering effects. We also show the possibility of obtaining high-quality pulses with less than a 15-fs pulse width in the 1.6-μm spectral region by soliton compression in FSDD’s.

© 1991 Optical Society of America

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1990 (1)

1989 (3)

E. M. Dianov, P. V. Mamyshev, A. M. Prokhorov, and S. V. Chernikov, Opt. Lett. 14, 1008 (1989).
[CrossRef] [PubMed]

E. A. Golovhenko, E. M. Dianov, A. Ya. Karasik, P. V. Mamyshev, A. N. Pilipetskii, and A. M. Prokhorov, Kvantovaya Electron. (Moscow) 16, 592 (1989) [Sov. J. Quantum Electron. 19, 391 (1989)].

K. J. Blow and D. Wood, IEEE J. Quantum Electron. 25, 2665 (1989).
[CrossRef]

1988 (5)

K. J. Blow, N. J. Doran, and D. Wood, J. Opt. Soc. Am. B 5, 1301 (1988).
[CrossRef]

E. E. Bordon and W. L. Anderson, IEEE J. Lightwave Technol. 7, 353 (1988).
[CrossRef]

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

P. K. A. Wai, C. R. Menyuk, Y. C. Lee, and H. H. Chen, IEEE J. Quantum Electron. 24, 373 (1988).
[CrossRef]

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

1986 (6)

1985 (1)

E. M. Dianov, A. Ya. Karasik, P. V. Mamyshev, A. M. Prokhorov, V. N. Serkin, M. F. Stel’makh, and A. A. Fomichev, Pis’ma Zh. Eksp. Teor. Fiz. 41, 242 (1985) [JETP. Lett. 41, 294 (1985)].

1983 (3)

V. A. Vysloukh, Kvantovaya Elektron. (Moscow) 10, 1688 (1983). [Sov. J. Quantum Electron. 13, 1113 (1983)].

K. J. Blow, N. J. Doran, and E. Commins, Opt. Commun. 48, 181 (1983).
[CrossRef]

A. Hasegawa, Opt. Lett. 8, 650 (1983).
[CrossRef] [PubMed]

1981 (1)

V. I. Karpman and V. V. Solov’ev, Physica 3D, 487 (1981).

1978 (1)

1973 (1)

A. Hasegawa and F. Tappert, Appl. Phys. Lett. 23, 142 (1973).
[CrossRef]

1971 (1)

R. W. Hellwarth, A. Owyoung, and N. George, Phys. Rev. A 4, 2342 (1971).
[CrossRef]

Agrawal, G. P.

G. P. Agrawal and M. J. Potasek, Phys. Rev. A 33, 1715 (1986).
[CrossRef]

Anderson, W. L.

E. E. Bordon and W. L. Anderson, IEEE J. Lightwave Technol. 7, 353 (1988).
[CrossRef]

Azimov, B. S.

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

Blow, K. J.

K. J. Blow and D. Wood, IEEE J. Quantum Electron. 25, 2665 (1989).
[CrossRef]

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

K. J. Blow, N. J. Doran, and D. Wood, J. Opt. Soc. Am. B 5, 1301 (1988).
[CrossRef]

K. J. Blow, N. J. Doran, and E. Commins, Opt. Commun. 48, 181 (1983).
[CrossRef]

Bogatyrev, V. A.

V. A. Bogatyrev, M. M. Bubnov, E. M. Dianov, A. S. Kurkov, P. V. Mamyshev, S. I. Miroshnichenko, S. D. Rumyantsev, V. A. Semeonov, S. L. Semeonov, A. A. Sysoliatin, and S. V. Chernikov, in Topical Meeting on Nonlinear Guided-Wave Phenomena: Physics and Applications, Vol. 2 of 1989 OSA Technical Digest Series, Optical Society of America, Washington, D.C., 1989), p. 300; P. V. Mamyshev, S.V. Chernicov, and E. M. Dianov, “Generation of fundamental soliton trains for high-bit-rate optical fiber communication lines,” IEEE J. Quantum Electron. (to be published).

Bordon, E. E.

E. E. Bordon and W. L. Anderson, IEEE J. Lightwave Technol. 7, 353 (1988).
[CrossRef]

Bubnov, M. M.

V. A. Bogatyrev, M. M. Bubnov, E. M. Dianov, A. S. Kurkov, P. V. Mamyshev, S. I. Miroshnichenko, S. D. Rumyantsev, V. A. Semeonov, S. L. Semeonov, A. A. Sysoliatin, and S. V. Chernikov, in Topical Meeting on Nonlinear Guided-Wave Phenomena: Physics and Applications, Vol. 2 of 1989 OSA Technical Digest Series, Optical Society of America, Washington, D.C., 1989), p. 300; P. V. Mamyshev, S.V. Chernicov, and E. M. Dianov, “Generation of fundamental soliton trains for high-bit-rate optical fiber communication lines,” IEEE J. Quantum Electron. (to be published).

Chen, H. H.

P. K. A. Wai, C. R. Menyuk, Y. C. Lee, and H. H. Chen, IEEE J. Quantum Electron. 24, 373 (1988).
[CrossRef]

P. K. A. Wai, C. R. Menyuk, Y. C. Lee, and H. H. Chen, Opt. Lett. 11, 464 (1986).
[CrossRef] [PubMed]

Chernikov, S. V.

P. V. Mamyshev and S. V. Chernikov, Opt. Lett. 15, 1076 (1990).
[CrossRef] [PubMed]

E. M. Dianov, P. V. Mamyshev, A. M. Prokhorov, and S. V. Chernikov, Opt. Lett. 14, 1008 (1989).
[CrossRef] [PubMed]

V. A. Bogatyrev, M. M. Bubnov, E. M. Dianov, A. S. Kurkov, P. V. Mamyshev, S. I. Miroshnichenko, S. D. Rumyantsev, V. A. Semeonov, S. L. Semeonov, A. A. Sysoliatin, and S. V. Chernikov, in Topical Meeting on Nonlinear Guided-Wave Phenomena: Physics and Applications, Vol. 2 of 1989 OSA Technical Digest Series, Optical Society of America, Washington, D.C., 1989), p. 300; P. V. Mamyshev, S.V. Chernicov, and E. M. Dianov, “Generation of fundamental soliton trains for high-bit-rate optical fiber communication lines,” IEEE J. Quantum Electron. (to be published).

Commins, E.

K. J. Blow, N. J. Doran, and E. Commins, Opt. Commun. 48, 181 (1983).
[CrossRef]

Devyatykh, G. G.

E. M. Dianov, A. S. Kurkov, P. V. Mamyshev, A. M. Prokhorov, A. A. Sysoliatin, A. N. Gurianov, G. G. Devyatykh, and S. I. Miroshnichenko, in Optical Fiber Communication Conference, Vol. 1 of 1990 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1990), p. 104; V. A. Bogatyrev, M. M. Bubnov, E. M. Dianov, A. S. Kurkov, P. V. Mamyshev, A. M. Prokhorov, S. D. Rumyantsev, V. A. Semenov, S. L. Semenov, A. A. Sysoliatin, S. V. Chernikov, A. N. Gurianov, G. G. Devyatykh, and S. I. Miroshnichenko, “The single mode fiber with chromatic dispersion varying along the length,” IEEE J. Lightwave Technol. 9, 561 (1991).
[CrossRef]

Dianov, E. M.

E. M. Dianov, P. V. Mamyshev, A. M. Prokhorov, and S. V. Chernikov, Opt. Lett. 14, 1008 (1989).
[CrossRef] [PubMed]

E. A. Golovhenko, E. M. Dianov, A. Ya. Karasik, P. V. Mamyshev, A. N. Pilipetskii, and A. M. Prokhorov, Kvantovaya Electron. (Moscow) 16, 592 (1989) [Sov. J. Quantum Electron. 19, 391 (1989)].

E. M. Dianov, A. Ya. Karasik, P. V. Mamyshev, A. M. Prokhorov, V. N. Serkin, M. F. Stel’makh, and A. A. Fomichev, Pis’ma Zh. Eksp. Teor. Fiz. 41, 242 (1985) [JETP. Lett. 41, 294 (1985)].

E. M. Dianov, A. S. Kurkov, P. V. Mamyshev, A. M. Prokhorov, A. A. Sysoliatin, A. N. Gurianov, G. G. Devyatykh, and S. I. Miroshnichenko, in Optical Fiber Communication Conference, Vol. 1 of 1990 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1990), p. 104; V. A. Bogatyrev, M. M. Bubnov, E. M. Dianov, A. S. Kurkov, P. V. Mamyshev, A. M. Prokhorov, S. D. Rumyantsev, V. A. Semenov, S. L. Semenov, A. A. Sysoliatin, S. V. Chernikov, A. N. Gurianov, G. G. Devyatykh, and S. I. Miroshnichenko, “The single mode fiber with chromatic dispersion varying along the length,” IEEE J. Lightwave Technol. 9, 561 (1991).
[CrossRef]

E. M. Dianov, L. M. Ivanov, P. V. Mamyshev, and A. M. Prokhorov, in Topical Meeting on Nonlinear Guided-Wave Phenomena: Physics and Applications, Vol. 2 of 1989 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1989), p. 157.

V. A. Bogatyrev, M. M. Bubnov, E. M. Dianov, A. S. Kurkov, P. V. Mamyshev, S. I. Miroshnichenko, S. D. Rumyantsev, V. A. Semeonov, S. L. Semeonov, A. A. Sysoliatin, and S. V. Chernikov, in Topical Meeting on Nonlinear Guided-Wave Phenomena: Physics and Applications, Vol. 2 of 1989 OSA Technical Digest Series, Optical Society of America, Washington, D.C., 1989), p. 300; P. V. Mamyshev, S.V. Chernicov, and E. M. Dianov, “Generation of fundamental soliton trains for high-bit-rate optical fiber communication lines,” IEEE J. Quantum Electron. (to be published).

Doran, N. J.

Fomichev, A. A.

E. M. Dianov, A. Ya. Karasik, P. V. Mamyshev, A. M. Prokhorov, V. N. Serkin, M. F. Stel’makh, and A. A. Fomichev, Pis’ma Zh. Eksp. Teor. Fiz. 41, 242 (1985) [JETP. Lett. 41, 294 (1985)].

George, N.

R. W. Hellwarth, A. Owyoung, and N. George, Phys. Rev. A 4, 2342 (1971).
[CrossRef]

Golovhenko, E. A.

E. A. Golovhenko, E. M. Dianov, A. Ya. Karasik, P. V. Mamyshev, A. N. Pilipetskii, and A. M. Prokhorov, Kvantovaya Electron. (Moscow) 16, 592 (1989) [Sov. J. Quantum Electron. 19, 391 (1989)].

Gordon, J. P.

Gurianov, A. N.

E. M. Dianov, A. S. Kurkov, P. V. Mamyshev, A. M. Prokhorov, A. A. Sysoliatin, A. N. Gurianov, G. G. Devyatykh, and S. I. Miroshnichenko, in Optical Fiber Communication Conference, Vol. 1 of 1990 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1990), p. 104; V. A. Bogatyrev, M. M. Bubnov, E. M. Dianov, A. S. Kurkov, P. V. Mamyshev, A. M. Prokhorov, S. D. Rumyantsev, V. A. Semenov, S. L. Semenov, A. A. Sysoliatin, S. V. Chernikov, A. N. Gurianov, G. G. Devyatykh, and S. I. Miroshnichenko, “The single mode fiber with chromatic dispersion varying along the length,” IEEE J. Lightwave Technol. 9, 561 (1991).
[CrossRef]

Hasegawa, A.

A. Hasegawa, Opt. Lett. 8, 650 (1983).
[CrossRef] [PubMed]

A. Hasegawa and F. Tappert, Appl. Phys. Lett. 23, 142 (1973).
[CrossRef]

Hawkins, R. J.

W. J. Tomlinson, R. H. Stolen, R. J. Hawkins, and A. M. Weiner, in Topical Meeting on Nonlinear Guided-Wave Phenomena: Physics and Applications, Vol. 2 of 1989 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1989), p. 132; R. H. Stolen, J. P. Gordon, W. J. Tomlinson, and H. A. Haus, J. Opt. Soc. Am. B 6, 1159 (1989).
[CrossRef]

Hellwarth, R. W.

R. W. Hellwarth, A. Owyoung, and N. George, Phys. Rev. A 4, 2342 (1971).
[CrossRef]

Isaev, S. K.

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

Ivanov, L. M.

E. M. Dianov, L. M. Ivanov, P. V. Mamyshev, and A. M. Prokhorov, in Topical Meeting on Nonlinear Guided-Wave Phenomena: Physics and Applications, Vol. 2 of 1989 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1989), p. 157.

Karasik, A. Ya.

E. A. Golovhenko, E. M. Dianov, A. Ya. Karasik, P. V. Mamyshev, A. N. Pilipetskii, and A. M. Prokhorov, Kvantovaya Electron. (Moscow) 16, 592 (1989) [Sov. J. Quantum Electron. 19, 391 (1989)].

E. M. Dianov, A. Ya. Karasik, P. V. Mamyshev, A. M. Prokhorov, V. N. Serkin, M. F. Stel’makh, and A. A. Fomichev, Pis’ma Zh. Eksp. Teor. Fiz. 41, 242 (1985) [JETP. Lett. 41, 294 (1985)].

Karpman, V. I.

V. I. Karpman and V. V. Solov’ev, Physica 3D, 487 (1981).

Kuehl, H. H.

Kurkov, A. S.

V. A. Bogatyrev, M. M. Bubnov, E. M. Dianov, A. S. Kurkov, P. V. Mamyshev, S. I. Miroshnichenko, S. D. Rumyantsev, V. A. Semeonov, S. L. Semeonov, A. A. Sysoliatin, and S. V. Chernikov, in Topical Meeting on Nonlinear Guided-Wave Phenomena: Physics and Applications, Vol. 2 of 1989 OSA Technical Digest Series, Optical Society of America, Washington, D.C., 1989), p. 300; P. V. Mamyshev, S.V. Chernicov, and E. M. Dianov, “Generation of fundamental soliton trains for high-bit-rate optical fiber communication lines,” IEEE J. Quantum Electron. (to be published).

E. M. Dianov, A. S. Kurkov, P. V. Mamyshev, A. M. Prokhorov, A. A. Sysoliatin, A. N. Gurianov, G. G. Devyatykh, and S. I. Miroshnichenko, in Optical Fiber Communication Conference, Vol. 1 of 1990 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1990), p. 104; V. A. Bogatyrev, M. M. Bubnov, E. M. Dianov, A. S. Kurkov, P. V. Mamyshev, A. M. Prokhorov, S. D. Rumyantsev, V. A. Semenov, S. L. Semenov, A. A. Sysoliatin, S. V. Chernikov, A. N. Gurianov, G. G. Devyatykh, and S. I. Miroshnichenko, “The single mode fiber with chromatic dispersion varying along the length,” IEEE J. Lightwave Technol. 9, 561 (1991).
[CrossRef]

Lee, Y. C.

P. K. A. Wai, C. R. Menyuk, Y. C. Lee, and H. H. Chen, IEEE J. Quantum Electron. 24, 373 (1988).
[CrossRef]

P. K. A. Wai, C. R. Menyuk, Y. C. Lee, and H. H. Chen, Opt. Lett. 11, 464 (1986).
[CrossRef] [PubMed]

Luzgin, S. N.

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

Mamyshev, P. V.

P. V. Mamyshev and S. V. Chernikov, Opt. Lett. 15, 1076 (1990).
[CrossRef] [PubMed]

E. M. Dianov, P. V. Mamyshev, A. M. Prokhorov, and S. V. Chernikov, Opt. Lett. 14, 1008 (1989).
[CrossRef] [PubMed]

E. A. Golovhenko, E. M. Dianov, A. Ya. Karasik, P. V. Mamyshev, A. N. Pilipetskii, and A. M. Prokhorov, Kvantovaya Electron. (Moscow) 16, 592 (1989) [Sov. J. Quantum Electron. 19, 391 (1989)].

E. M. Dianov, A. Ya. Karasik, P. V. Mamyshev, A. M. Prokhorov, V. N. Serkin, M. F. Stel’makh, and A. A. Fomichev, Pis’ma Zh. Eksp. Teor. Fiz. 41, 242 (1985) [JETP. Lett. 41, 294 (1985)].

E. M. Dianov, A. S. Kurkov, P. V. Mamyshev, A. M. Prokhorov, A. A. Sysoliatin, A. N. Gurianov, G. G. Devyatykh, and S. I. Miroshnichenko, in Optical Fiber Communication Conference, Vol. 1 of 1990 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1990), p. 104; V. A. Bogatyrev, M. M. Bubnov, E. M. Dianov, A. S. Kurkov, P. V. Mamyshev, A. M. Prokhorov, S. D. Rumyantsev, V. A. Semenov, S. L. Semenov, A. A. Sysoliatin, S. V. Chernikov, A. N. Gurianov, G. G. Devyatykh, and S. I. Miroshnichenko, “The single mode fiber with chromatic dispersion varying along the length,” IEEE J. Lightwave Technol. 9, 561 (1991).
[CrossRef]

V. A. Bogatyrev, M. M. Bubnov, E. M. Dianov, A. S. Kurkov, P. V. Mamyshev, S. I. Miroshnichenko, S. D. Rumyantsev, V. A. Semeonov, S. L. Semeonov, A. A. Sysoliatin, and S. V. Chernikov, in Topical Meeting on Nonlinear Guided-Wave Phenomena: Physics and Applications, Vol. 2 of 1989 OSA Technical Digest Series, Optical Society of America, Washington, D.C., 1989), p. 300; P. V. Mamyshev, S.V. Chernicov, and E. M. Dianov, “Generation of fundamental soliton trains for high-bit-rate optical fiber communication lines,” IEEE J. Quantum Electron. (to be published).

E. M. Dianov, L. M. Ivanov, P. V. Mamyshev, and A. M. Prokhorov, in Topical Meeting on Nonlinear Guided-Wave Phenomena: Physics and Applications, Vol. 2 of 1989 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1989), p. 157.

Marcuse, D.

Menyuk, C. R.

P. K. A. Wai, C. R. Menyuk, Y. C. Lee, and H. H. Chen, IEEE J. Quantum Electron. 24, 373 (1988).
[CrossRef]

P. K. A. Wai, C. R. Menyuk, Y. C. Lee, and H. H. Chen, Opt. Lett. 11, 464 (1986).
[CrossRef] [PubMed]

Miroshnichenko, S. I.

E. M. Dianov, A. S. Kurkov, P. V. Mamyshev, A. M. Prokhorov, A. A. Sysoliatin, A. N. Gurianov, G. G. Devyatykh, and S. I. Miroshnichenko, in Optical Fiber Communication Conference, Vol. 1 of 1990 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1990), p. 104; V. A. Bogatyrev, M. M. Bubnov, E. M. Dianov, A. S. Kurkov, P. V. Mamyshev, A. M. Prokhorov, S. D. Rumyantsev, V. A. Semenov, S. L. Semenov, A. A. Sysoliatin, S. V. Chernikov, A. N. Gurianov, G. G. Devyatykh, and S. I. Miroshnichenko, “The single mode fiber with chromatic dispersion varying along the length,” IEEE J. Lightwave Technol. 9, 561 (1991).
[CrossRef]

V. A. Bogatyrev, M. M. Bubnov, E. M. Dianov, A. S. Kurkov, P. V. Mamyshev, S. I. Miroshnichenko, S. D. Rumyantsev, V. A. Semeonov, S. L. Semeonov, A. A. Sysoliatin, and S. V. Chernikov, in Topical Meeting on Nonlinear Guided-Wave Phenomena: Physics and Applications, Vol. 2 of 1989 OSA Technical Digest Series, Optical Society of America, Washington, D.C., 1989), p. 300; P. V. Mamyshev, S.V. Chernicov, and E. M. Dianov, “Generation of fundamental soliton trains for high-bit-rate optical fiber communication lines,” IEEE J. Quantum Electron. (to be published).

Mitschke, F. M.

Mollenauer, L. F.

Owyoung, A.

R. W. Hellwarth, A. Owyoung, and N. George, Phys. Rev. A 4, 2342 (1971).
[CrossRef]

Pilipetskii, A. N.

E. A. Golovhenko, E. M. Dianov, A. Ya. Karasik, P. V. Mamyshev, A. N. Pilipetskii, and A. M. Prokhorov, Kvantovaya Electron. (Moscow) 16, 592 (1989) [Sov. J. Quantum Electron. 19, 391 (1989)].

Potasek, M. J.

G. P. Agrawal and M. J. Potasek, Phys. Rev. A 33, 1715 (1986).
[CrossRef]

Prokhorov, A. M.

E. M. Dianov, P. V. Mamyshev, A. M. Prokhorov, and S. V. Chernikov, Opt. Lett. 14, 1008 (1989).
[CrossRef] [PubMed]

E. A. Golovhenko, E. M. Dianov, A. Ya. Karasik, P. V. Mamyshev, A. N. Pilipetskii, and A. M. Prokhorov, Kvantovaya Electron. (Moscow) 16, 592 (1989) [Sov. J. Quantum Electron. 19, 391 (1989)].

E. M. Dianov, A. Ya. Karasik, P. V. Mamyshev, A. M. Prokhorov, V. N. Serkin, M. F. Stel’makh, and A. A. Fomichev, Pis’ma Zh. Eksp. Teor. Fiz. 41, 242 (1985) [JETP. Lett. 41, 294 (1985)].

E. M. Dianov, A. S. Kurkov, P. V. Mamyshev, A. M. Prokhorov, A. A. Sysoliatin, A. N. Gurianov, G. G. Devyatykh, and S. I. Miroshnichenko, in Optical Fiber Communication Conference, Vol. 1 of 1990 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1990), p. 104; V. A. Bogatyrev, M. M. Bubnov, E. M. Dianov, A. S. Kurkov, P. V. Mamyshev, A. M. Prokhorov, S. D. Rumyantsev, V. A. Semenov, S. L. Semenov, A. A. Sysoliatin, S. V. Chernikov, A. N. Gurianov, G. G. Devyatykh, and S. I. Miroshnichenko, “The single mode fiber with chromatic dispersion varying along the length,” IEEE J. Lightwave Technol. 9, 561 (1991).
[CrossRef]

E. M. Dianov, L. M. Ivanov, P. V. Mamyshev, and A. M. Prokhorov, in Topical Meeting on Nonlinear Guided-Wave Phenomena: Physics and Applications, Vol. 2 of 1989 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1989), p. 157.

Rumyantsev, S. D.

V. A. Bogatyrev, M. M. Bubnov, E. M. Dianov, A. S. Kurkov, P. V. Mamyshev, S. I. Miroshnichenko, S. D. Rumyantsev, V. A. Semeonov, S. L. Semeonov, A. A. Sysoliatin, and S. V. Chernikov, in Topical Meeting on Nonlinear Guided-Wave Phenomena: Physics and Applications, Vol. 2 of 1989 OSA Technical Digest Series, Optical Society of America, Washington, D.C., 1989), p. 300; P. V. Mamyshev, S.V. Chernicov, and E. M. Dianov, “Generation of fundamental soliton trains for high-bit-rate optical fiber communication lines,” IEEE J. Quantum Electron. (to be published).

Semeonov, S. L.

V. A. Bogatyrev, M. M. Bubnov, E. M. Dianov, A. S. Kurkov, P. V. Mamyshev, S. I. Miroshnichenko, S. D. Rumyantsev, V. A. Semeonov, S. L. Semeonov, A. A. Sysoliatin, and S. V. Chernikov, in Topical Meeting on Nonlinear Guided-Wave Phenomena: Physics and Applications, Vol. 2 of 1989 OSA Technical Digest Series, Optical Society of America, Washington, D.C., 1989), p. 300; P. V. Mamyshev, S.V. Chernicov, and E. M. Dianov, “Generation of fundamental soliton trains for high-bit-rate optical fiber communication lines,” IEEE J. Quantum Electron. (to be published).

Semeonov, V. A.

V. A. Bogatyrev, M. M. Bubnov, E. M. Dianov, A. S. Kurkov, P. V. Mamyshev, S. I. Miroshnichenko, S. D. Rumyantsev, V. A. Semeonov, S. L. Semeonov, A. A. Sysoliatin, and S. V. Chernikov, in Topical Meeting on Nonlinear Guided-Wave Phenomena: Physics and Applications, Vol. 2 of 1989 OSA Technical Digest Series, Optical Society of America, Washington, D.C., 1989), p. 300; P. V. Mamyshev, S.V. Chernicov, and E. M. Dianov, “Generation of fundamental soliton trains for high-bit-rate optical fiber communication lines,” IEEE J. Quantum Electron. (to be published).

Serkin, V. N.

E. M. Dianov, A. Ya. Karasik, P. V. Mamyshev, A. M. Prokhorov, V. N. Serkin, M. F. Stel’makh, and A. A. Fomichev, Pis’ma Zh. Eksp. Teor. Fiz. 41, 242 (1985) [JETP. Lett. 41, 294 (1985)].

Solov’ev, V. V.

V. I. Karpman and V. V. Solov’ev, Physica 3D, 487 (1981).

Stel’makh, M. F.

E. M. Dianov, A. Ya. Karasik, P. V. Mamyshev, A. M. Prokhorov, V. N. Serkin, M. F. Stel’makh, and A. A. Fomichev, Pis’ma Zh. Eksp. Teor. Fiz. 41, 242 (1985) [JETP. Lett. 41, 294 (1985)].

Stolen, R. H.

W. J. Tomlinson, R. H. Stolen, R. J. Hawkins, and A. M. Weiner, in Topical Meeting on Nonlinear Guided-Wave Phenomena: Physics and Applications, Vol. 2 of 1989 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1989), p. 132; R. H. Stolen, J. P. Gordon, W. J. Tomlinson, and H. A. Haus, J. Opt. Soc. Am. B 6, 1159 (1989).
[CrossRef]

W. J. Tomlinson and R. H. Stolen, in Seventh International Conference on Integrated Optics and Optical Fiber Communication (Institute of Electronics, Information, and Communication Engineers, Tokyo, 1989), Vol. 4, p. 72, paper 21C4-3.

Sysoliatin, A. A.

V. A. Bogatyrev, M. M. Bubnov, E. M. Dianov, A. S. Kurkov, P. V. Mamyshev, S. I. Miroshnichenko, S. D. Rumyantsev, V. A. Semeonov, S. L. Semeonov, A. A. Sysoliatin, and S. V. Chernikov, in Topical Meeting on Nonlinear Guided-Wave Phenomena: Physics and Applications, Vol. 2 of 1989 OSA Technical Digest Series, Optical Society of America, Washington, D.C., 1989), p. 300; P. V. Mamyshev, S.V. Chernicov, and E. M. Dianov, “Generation of fundamental soliton trains for high-bit-rate optical fiber communication lines,” IEEE J. Quantum Electron. (to be published).

E. M. Dianov, A. S. Kurkov, P. V. Mamyshev, A. M. Prokhorov, A. A. Sysoliatin, A. N. Gurianov, G. G. Devyatykh, and S. I. Miroshnichenko, in Optical Fiber Communication Conference, Vol. 1 of 1990 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1990), p. 104; V. A. Bogatyrev, M. M. Bubnov, E. M. Dianov, A. S. Kurkov, P. V. Mamyshev, A. M. Prokhorov, S. D. Rumyantsev, V. A. Semenov, S. L. Semenov, A. A. Sysoliatin, S. V. Chernikov, A. N. Gurianov, G. G. Devyatykh, and S. I. Miroshnichenko, “The single mode fiber with chromatic dispersion varying along the length,” IEEE J. Lightwave Technol. 9, 561 (1991).
[CrossRef]

Tajima, K.

Tappert, F.

A. Hasegawa and F. Tappert, Appl. Phys. Lett. 23, 142 (1973).
[CrossRef]

Tomlinson, W. J.

W. J. Tomlinson and R. H. Stolen, in Seventh International Conference on Integrated Optics and Optical Fiber Communication (Institute of Electronics, Information, and Communication Engineers, Tokyo, 1989), Vol. 4, p. 72, paper 21C4-3.

W. J. Tomlinson, R. H. Stolen, R. J. Hawkins, and A. M. Weiner, in Topical Meeting on Nonlinear Guided-Wave Phenomena: Physics and Applications, Vol. 2 of 1989 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1989), p. 132; R. H. Stolen, J. P. Gordon, W. J. Tomlinson, and H. A. Haus, J. Opt. Soc. Am. B 6, 1159 (1989).
[CrossRef]

Trukhov, D.V.

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

Vysloukh, V. A.

V. A. Vysloukh, Kvantovaya Elektron. (Moscow) 10, 1688 (1983). [Sov. J. Quantum Electron. 13, 1113 (1983)].

Wai, P. K. A.

P. K. A. Wai, C. R. Menyuk, Y. C. Lee, and H. H. Chen, IEEE J. Quantum Electron. 24, 373 (1988).
[CrossRef]

P. K. A. Wai, C. R. Menyuk, Y. C. Lee, and H. H. Chen, Opt. Lett. 11, 464 (1986).
[CrossRef] [PubMed]

Weiner, A. M.

W. J. Tomlinson, R. H. Stolen, R. J. Hawkins, and A. M. Weiner, in Topical Meeting on Nonlinear Guided-Wave Phenomena: Physics and Applications, Vol. 2 of 1989 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1989), p. 132; R. H. Stolen, J. P. Gordon, W. J. Tomlinson, and H. A. Haus, J. Opt. Soc. Am. B 6, 1159 (1989).
[CrossRef]

Wood, D.

Appl. Phys. Lett. (1)

A. Hasegawa and F. Tappert, Appl. Phys. Lett. 23, 142 (1973).
[CrossRef]

IEEE J. Lightwave Technol. (1)

E. E. Bordon and W. L. Anderson, IEEE J. Lightwave Technol. 7, 353 (1988).
[CrossRef]

IEEE J. Quantum Electron. (2)

P. K. A. Wai, C. R. Menyuk, Y. C. Lee, and H. H. Chen, IEEE J. Quantum Electron. 24, 373 (1988).
[CrossRef]

K. J. Blow and D. Wood, IEEE J. Quantum Electron. 25, 2665 (1989).
[CrossRef]

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

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

J. Opt. Soc. Am. (1)

J. Opt. Soc. Am. B (3)

Kvantovaya Electron. (Moscow) (1)

E. A. Golovhenko, E. M. Dianov, A. Ya. Karasik, P. V. Mamyshev, A. N. Pilipetskii, and A. M. Prokhorov, Kvantovaya Electron. (Moscow) 16, 592 (1989) [Sov. J. Quantum Electron. 19, 391 (1989)].

Kvantovaya Elektron. (Moscow) (1)

V. A. Vysloukh, Kvantovaya Elektron. (Moscow) 10, 1688 (1983). [Sov. J. Quantum Electron. 13, 1113 (1983)].

Opt. Commun. (1)

K. J. Blow, N. J. Doran, and E. Commins, Opt. Commun. 48, 181 (1983).
[CrossRef]

Opt. Lett. (7)

Phys. Rev. A (2)

R. W. Hellwarth, A. Owyoung, and N. George, Phys. Rev. A 4, 2342 (1971).
[CrossRef]

G. P. Agrawal and M. J. Potasek, Phys. Rev. A 33, 1715 (1986).
[CrossRef]

Physica (1)

V. I. Karpman and V. V. Solov’ev, Physica 3D, 487 (1981).

Pis’ma Zh. Eksp. Teor. Fiz. (1)

E. M. Dianov, A. Ya. Karasik, P. V. Mamyshev, A. M. Prokhorov, V. N. Serkin, M. F. Stel’makh, and A. A. Fomichev, Pis’ma Zh. Eksp. Teor. Fiz. 41, 242 (1985) [JETP. Lett. 41, 294 (1985)].

Other (5)

E. M. Dianov, A. S. Kurkov, P. V. Mamyshev, A. M. Prokhorov, A. A. Sysoliatin, A. N. Gurianov, G. G. Devyatykh, and S. I. Miroshnichenko, in Optical Fiber Communication Conference, Vol. 1 of 1990 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1990), p. 104; V. A. Bogatyrev, M. M. Bubnov, E. M. Dianov, A. S. Kurkov, P. V. Mamyshev, A. M. Prokhorov, S. D. Rumyantsev, V. A. Semenov, S. L. Semenov, A. A. Sysoliatin, S. V. Chernikov, A. N. Gurianov, G. G. Devyatykh, and S. I. Miroshnichenko, “The single mode fiber with chromatic dispersion varying along the length,” IEEE J. Lightwave Technol. 9, 561 (1991).
[CrossRef]

V. A. Bogatyrev, M. M. Bubnov, E. M. Dianov, A. S. Kurkov, P. V. Mamyshev, S. I. Miroshnichenko, S. D. Rumyantsev, V. A. Semeonov, S. L. Semeonov, A. A. Sysoliatin, and S. V. Chernikov, in Topical Meeting on Nonlinear Guided-Wave Phenomena: Physics and Applications, Vol. 2 of 1989 OSA Technical Digest Series, Optical Society of America, Washington, D.C., 1989), p. 300; P. V. Mamyshev, S.V. Chernicov, and E. M. Dianov, “Generation of fundamental soliton trains for high-bit-rate optical fiber communication lines,” IEEE J. Quantum Electron. (to be published).

E. M. Dianov, L. M. Ivanov, P. V. Mamyshev, and A. M. Prokhorov, in Topical Meeting on Nonlinear Guided-Wave Phenomena: Physics and Applications, Vol. 2 of 1989 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1989), p. 157.

W. J. Tomlinson and R. H. Stolen, in Seventh International Conference on Integrated Optics and Optical Fiber Communication (Institute of Electronics, Information, and Communication Engineers, Tokyo, 1989), Vol. 4, p. 72, paper 21C4-3.

W. J. Tomlinson, R. H. Stolen, R. J. Hawkins, and A. M. Weiner, in Topical Meeting on Nonlinear Guided-Wave Phenomena: Physics and Applications, Vol. 2 of 1989 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1989), p. 132; R. H. Stolen, J. P. Gordon, W. J. Tomlinson, and H. A. Haus, J. Opt. Soc. Am. B 6, 1159 (1989).
[CrossRef]

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Figures (9)

Fig. 1
Fig. 1

Evolution of the soliton pulse width in a typical optical fiber. Dashed curves show the solution of Eq. (19) for different initial soliton widths and for the case of Td = 2.85 fs, k3 = 10−42 s3/cm; solid curve 1 shows the numerical calculation for a FSDD of L = 4.4 m; solid curve 2 shows the numerical simulation of the effect of the soliton broadening suppression in a FSDD for the same k3.

Fig. 2
Fig. 2

Calculated under the adiabatic approximation [Eqs. (22) and (23)]: (a) the evolution of a soliton pulse width, (b) its mean spectral shift in a FSDD for various input soliton pulse widths. The parameters of the FSDD are L = 10 m, k3 = 1.06 × 10−42 s3/cm, Td = 3 fs.

Fig. 3
Fig. 3

Intensity autocorrelation traces of the soliton pulses at the input (dashed curve) and at the output (solid curve) of the FSDD (experiment).

Fig. 4
Fig. 4

Dynamics of a soliton pulse width under soliton compression in a FSDD: the experiment (asterisks), the adiabatic approximation, Eq. (22) (dashed curve), and the numerical simulation (solid curve). The data in the calculations are the same as in the experiment.

Fig. 5
Fig. 5

(a) Dynamics of the pulse width and peak intensity and (b) pulse mean frequency and area of a soliton with an initial pulse width of 130 fs at λ = 1.55 μm in a FSDD with a small value of the third-order dispersion, obtained in a numerical simulation of Eq. (24) (t0 = 73.7 fs) for curves 4, d2 = −1 + ξ/31, d3 = −1.73 × 10−3, σ = 0.07; curves 3, the same but σ = 0; curves 1, σ = d3 = 0. Curves 2 are for adiabatic approximation, Eq. (22). Curve 5 is the soliton area for the case of curves 4.

Fig. 6
Fig. 6

(a) Temporal and (b) spectral evolution of a soliton with an initial pulse width of 130 fs in a FSDD for case 4 of Fig. 5: curves 1, ξ = 0; 2, ξ = 19.6; 3, ξ = 23.6; 4, ξ = 28.3; 5, ξ = 31.3. For cases 3 and 4 only the spectra are shown. A temporal soliton shift from its initial position is not shown.

Fig. 7
Fig. 7

Evolution of the spectrum (a) in the vicinity of the zero point of the second-order dispersion for case 4 of Fig. 5 at curve 1, ξ = 31.3; 2, ξ = 32.6; 3, ξ = 33.9; and (b) the pulse shape on a logarithmic scale at ξ = 32.6.

Fig. 8
Fig. 8

(a) Pulse and (b) its spectrum, obtained by compression of a 65-fs soliton in a FSDD. The parameters are d2 = −1 + 5/20.2, d3 = −3.46 × 10−3, ξ = 18.1, t0 = 36.9 fs.

Fig. 9
Fig. 9

(a) Pulse and (b) its spectrum, obtained by compression of a 50-fs soliton in a FSDD. The parameters are d2 = −1 + ξ/9.3, d3 = −2.7 × 10−2, ξ = 6.62, t0 = 28.4 fs.

Equations (30)

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Δ τ p k / W ,             P p ~ W 2 / k .
E ˜ ( t , r ) = E ˜ ( ω , z ) U ( ω , r , z ) exp [ i 0 z k ( ω , z ) d z - i ω t ] d ω ,
[ z + 1 4 S ( ω , z ) S ( ω , z ) z ] E ( ω , z ) = i c 2 π ω n ( ω , z ) [ S ( ω , z ) ] 1 / 2 d ω d ω × [ E ( ω , z ) E ( ω , z ) E * ( ω + ω - ω , z ) × χ ( 3 ) ( ω - ω ) exp ( i 0 z Δ k ( z ) d z ) ] ,
F ( z ) = n ( ω , z ) S ( ω , z ) E ˜ ( ω , z ) 2 / ω d ω ,
W ( z ) = n ( ω , z ) S ( ω , z ) E ˜ ( ω , z ) 2 d ω .
d F / d z = 0.
d W ( z ) d z = - 4 π c 0 Δ ω Q ( Δ ω ) 2 Im [ χ ( 3 ) ( Δ ω ) ] d Δ ω ,
ω ¯ ( z ) = W ( z ) / F .
k ( ω , z ) = k 0 ( z ) + k 1 ( z ) Δ ω + ½ k 2 ( z ) ( Δ ω ) 2 ,
Δ ω = ω - ω ¯ ,             k p ( z ) = k p [ ω ¯ ( z ) , z ] = p k ( ω , z ) ω p | ω = ω ¯ ( z ) .
V ( ω , z ) E ( ω , z ) exp { i 0 z [ k ( ω , z ) - k 0 ( z ) - k 1 ( z ) Δ ω ] d z } / E 0
Ω = ω t 0 ,             ɛ ( 3 ) ( Ω ) = χ ( 3 ) ( Ω ) / χ ( 3 ) ( 0 ) ,             ξ = z / z d , z d = t 0 2 / k 2 ( 0 ) , β ( ξ ) = β ( ω ¯ , ξ ) = k 2 ( ω ¯ , ξ ) / k 2 ( ω ¯ ( 0 ) , 0 ) ,             k 2 < 0 , τ = t / t 0 , E 0 2 = ( c n 0 k 2 ( 0 ) / [ 2 π χ ( 3 ) ( 0 ) ω ¯ ( 0 ) ] ,             Ω ¯ = ω ¯ t 0 ,
i - v ξ + i 1 4 S ( ξ ) S ( ξ ) ξ V - 1 2 β ( ξ ) Δ Ω 2 V + Ω ¯ ( ξ ) n ( 0 ) Ω ¯ ( 0 ) n ( ξ ) [ S ( ξ ) ] 1 / 2 × V ( Ω ) V ( Ω ) V * ( Ω + Ω - Ω ) ɛ ( 3 ) ( Ω - Ω ) d Ω d Ω = 0 ,
Ψ = V { Ω ¯ ( ξ ) n ( 0 ) Ω ¯ ( 0 ) β ( ξ ) n ( ξ ) [ 1 S ( ξ ) ] 1 / 2 } 1 / 2 ,             η = 0 ξ β ( ξ ) d ξ
i - Ψ ( Ω ) η = ½ Δ Ω 2 Ψ ( Ω ) + i α ( ξ ) Ψ ( Ω ) + Ψ ( Ω ) Ψ ( Ω ) Ψ * ( Ω + Ω - Ω ) ɛ ( 3 ) ( Ω - Ω ) d Ω d Ω = 0 ,
α ( ξ ) = 1 2 ( 1 β d β d η - 1 Ω ¯ d Ω ¯ d η + 1 n d n d η + 1 S d S d η ) .
Ψ s ( Ω , η ) = 1 2 sech ( Ω - Ω ¯ ( η ) Δ Ω s ( η ) ) exp [ i 1 2 π 2 0 η Δ Ω s 2 ( η ) d η ] .
d Ω ¯ d ξ = - 8 τ R β ( ξ , ω ¯ ( ξ ) ) 15 Δ τ s 4 ( ξ ) h [ Δ τ s ( ξ ) ] ,
Δ τ s ( ξ ) [ Ω ¯ ( ξ ) ] 2 β ( ξ , Ω ¯ ( ξ ) ) n [ Ω ¯ ( ξ ) ] S ( Ω ¯ ( ξ ) , ξ ) = const .
h ( Δ τ s ) = 30 π 4 0 x 4 d x s h 2 x { Im [ ɛ ( 3 ) ( 2 x / ( π Δ τ s ) ) ] 2 x τ R / ( π Δ τ s ) } .
β ( Ω , ξ ) = k 2 ( ω , z ) / k 2 ( ω 0 , 0 ) = [ d 2 ( ξ ) + d 3 ( Ω - Ω 0 ) ] ,
d 2 ( z ) = 1 - z / L .
1 Δ τ s Δ τ s ω ¯ = 1 β β ω ¯ - 2 ω ¯ + 1 S S ω ¯ , 1 Δ τ s Δ τ s ω ¯ = 1 ω ¯ - ω d - 2 ω ¯ + 1 S S ω ¯ .
Δ τ s ( ξ ) β ( ξ , ω ¯ ( ξ ) ) = const .
Δ t s ( ξ ) = Δ t s ( 0 ) [ 1 + 32 T R k 3 z 15 Δ t s 4 ( 0 ) ] 1 / 4 .
d d 2 d z = - d 3 d ω ¯ d z
L = 15 Δ t s 4 ( 0 ) 8 k 3 T d
z = L ( Δ t s ( 0 ) / Δ t stab ) { f [ Δ t s ( z ) / Δ t stab ] - f [ Δ t s ( 0 ) / Δ t stab ] } ,
f ( θ ) = - θ - 1 3 ln | 1 - θ ( θ 2 + θ + 1 ) 1 / 2 | + 1 / 3 1 / 2 arctan [ 2 θ 3 1 / 2 ] , Δ t stab = [ - 8 T R k 3 k 2 ( ω 0 , 0 ) 15 Δ t s ( 0 ) ( d k 2 / d z ) ] 1 / 3 = 0.98 [ T R k 3 L Δ t p ( 0 ) ] 1 / 3 .
[ ξ + i d 2 ( ξ ) 2 2 τ 2 - d 3 3 τ 3 ] V ( τ , ξ ) = i V ( τ , ξ ) V ( τ - τ , ξ ) 2 × r ( τ ) d τ - σ τ [ V ( τ , ξ ) V ( τ - τ , ξ ) 2 r ( τ ) d τ ] ,

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