Abstract

We present a numerical study of the wave breakup and soliton formation in a standard single-mode fiber pumped by variable pulse lengths in the range from 20 to 400 ps in the presence of noise. The average power and the standard deviation of the trailing soliton were calculated. We calculated also the average distance at which the soliton time delay reaches 1.5 times the pulse width. We found that for pulses longer than 100 ps the breakup starts from the amplification of the noisy modulation of the amplitude by the modulation instability mechanism even for very low noise power, while for pulses shorter than 20 ps the breakup starts from the pulse collapse. For intermediate durations, wave breakup starts from the pulse collapse at low noise power, while for higher noise power, modulation instability prevails.

© 2006 Optical Society of America

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2005 (4)

2004 (1)

2001 (1)

2000 (2)

1999 (1)

N. Nishizawa and T. Goto, "Compact system of wavelength-tunable femtosecond soliton pulse generation using optical fibers," IEEE Photon. Technol. Lett. 11, 325-327 (1999).
[CrossRef]

1991 (1)

1988 (2)

1987 (2)

W. Hodel and H. P. Weber, "Decay of femtosecond higher-order soliton in an optical fiber induced by Raman self-pumping," Opt. Lett. 12, 924-926 (1987).

P. Beaud, W. Hodel, B. Zysset, and H. P. Weber, "Ultrashort pulse propagation, pulse breakup, and fundamental soliton formation in a single-mode optical fiber," IEEE J. Quantum Electron. QE-23, 1938-1946 (1987).
[CrossRef]

1986 (1)

1985 (1)

E. M. Dianov, A. Ya. Karasik, P. V. Mamyshev, A. M. Prokhorov, V. N. Serkin, M. F. Stelmakh, and A. A. Fomichev, "Stimulated-Raman conversion of multisoliton pulses in quartz optical fibers," JETP Lett. 41, 294-297 (1985).
[CrossRef]

1983 (1)

Abeeluck, A. K.

Agrawal, G. P.

G. P. Agrawal, Nonlinear Fiber Optics, 3rd ed. (Academic, 2001).

Amans, D.

E. Brainis and D. Amans, "Scalar and vector modulation instability induced by vacuum fluctuations in fibers: numerical study," Phys. Rev. A 71, 023808 (2005).
[CrossRef]

Bandelow, U.

A. Demircan and U. Bandelow, "Supercontinuum generation by the modulation instability," Opt. Commun. 244, 181-185 (2005).

Beaud, P.

P. Beaud, W. Hodel, B. Zysset, and H. P. Weber, "Ultrashort pulse propagation, pulse breakup, and fundamental soliton formation in a single-mode optical fiber," IEEE J. Quantum Electron. QE-23, 1938-1946 (1987).
[CrossRef]

Betlej, A.

Birks, T. A.

Brainis, E.

E. Brainis and D. Amans, "Scalar and vector modulation instability induced by vacuum fluctuations in fibers: numerical study," Phys. Rev. A 71, 023808 (2005).
[CrossRef]

Chau, A. H. L.

Coen, S.

Demircan, A.

A. Demircan and U. Bandelow, "Supercontinuum generation by the modulation instability," Opt. Commun. 244, 181-185 (2005).

Dianov, E. M.

E. A. Golovchenko, P. V. Mamyshev, A. N. Pilipetskii, and E. M. Dianov, "Numerical analysis of the Raman spectrum evolution and soliton pulse generation in single-mode fibers," J. Opt. Soc. Am. B 8, 1626-1632 (1991).

E. M. Dianov, A. Ya. Karasik, P. V. Mamyshev, A. M. Prokhorov, V. N. Serkin, M. F. Stelmakh, and A. A. Fomichev, "Stimulated-Raman conversion of multisoliton pulses in quartz optical fibers," JETP Lett. 41, 294-297 (1985).
[CrossRef]

Faldon, M. E.

Fomichev, A. A.

E. M. Dianov, A. Ya. Karasik, P. V. Mamyshev, A. M. Prokhorov, V. N. Serkin, M. F. Stelmakh, and A. A. Fomichev, "Stimulated-Raman conversion of multisoliton pulses in quartz optical fibers," JETP Lett. 41, 294-297 (1985).
[CrossRef]

Goeddle, Ch. G.

Golovchenko, E. A.

Gordon, J. P.

Goto, T.

N. Nishizawa and T. Goto, "Compact system of wavelength-tunable femtosecond soliton pulse generation using optical fibers," IEEE Photon. Technol. Lett. 11, 325-327 (1999).
[CrossRef]

Gouveia-Neto, A. S.

Harvey, J. D.

Headley, C.

Hodel, W.

P. Beaud, W. Hodel, B. Zysset, and H. P. Weber, "Ultrashort pulse propagation, pulse breakup, and fundamental soliton formation in a single-mode optical fiber," IEEE J. Quantum Electron. QE-23, 1938-1946 (1987).
[CrossRef]

W. Hodel and H. P. Weber, "Decay of femtosecond higher-order soliton in an optical fiber induced by Raman self-pumping," Opt. Lett. 12, 924-926 (1987).

Karasik, A. Ya.

E. M. Dianov, A. Ya. Karasik, P. V. Mamyshev, A. M. Prokhorov, V. N. Serkin, M. F. Stelmakh, and A. A. Fomichev, "Stimulated-Raman conversion of multisoliton pulses in quartz optical fibers," JETP Lett. 41, 294-297 (1985).
[CrossRef]

Knight, J. C.

Lantz, E.

Leonhardt, R.

Mailotte, H.

Mamyshev, P. V.

E. A. Golovchenko, P. V. Mamyshev, A. N. Pilipetskii, and E. M. Dianov, "Numerical analysis of the Raman spectrum evolution and soliton pulse generation in single-mode fibers," J. Opt. Soc. Am. B 8, 1626-1632 (1991).

E. M. Dianov, A. Ya. Karasik, P. V. Mamyshev, A. M. Prokhorov, V. N. Serkin, M. F. Stelmakh, and A. A. Fomichev, "Stimulated-Raman conversion of multisoliton pulses in quartz optical fibers," JETP Lett. 41, 294-297 (1985).
[CrossRef]

Mitschke, F. M.

Mollenauer, L. F.

Mussot, A.

Nishizawa, N.

N. Nishizawa and T. Goto, "Compact system of wavelength-tunable femtosecond soliton pulse generation using optical fibers," IEEE Photon. Technol. Lett. 11, 325-327 (1999).
[CrossRef]

Pilipetskii, A. N.

Prokhorov, A. M.

E. M. Dianov, A. Ya. Karasik, P. V. Mamyshev, A. M. Prokhorov, V. N. Serkin, M. F. Stelmakh, and A. A. Fomichev, "Stimulated-Raman conversion of multisoliton pulses in quartz optical fibers," JETP Lett. 41, 294-297 (1985).
[CrossRef]

Ranka, J. R.

Russell, P. St. J.

Schmitt, P.

Serkin, V. N.

E. M. Dianov, A. Ya. Karasik, P. V. Mamyshev, A. M. Prokhorov, V. N. Serkin, M. F. Stelmakh, and A. A. Fomichev, "Stimulated-Raman conversion of multisoliton pulses in quartz optical fibers," JETP Lett. 41, 294-297 (1985).
[CrossRef]

Sidereas, P.

Stelmakh, M. F.

E. M. Dianov, A. Ya. Karasik, P. V. Mamyshev, A. M. Prokhorov, V. N. Serkin, M. F. Stelmakh, and A. A. Fomichev, "Stimulated-Raman conversion of multisoliton pulses in quartz optical fibers," JETP Lett. 41, 294-297 (1985).
[CrossRef]

Stentz, A. J.

Stolen, R. H.

Sylvestre, T.

Taylor, J. R.

Thompson, J. R.

Tomlinson, W. J.

Tracy, R.

Wadsworth, W. J.

Weber, H. P.

W. Hodel and H. P. Weber, "Decay of femtosecond higher-order soliton in an optical fiber induced by Raman self-pumping," Opt. Lett. 12, 924-926 (1987).

P. Beaud, W. Hodel, B. Zysset, and H. P. Weber, "Ultrashort pulse propagation, pulse breakup, and fundamental soliton formation in a single-mode optical fiber," IEEE J. Quantum Electron. QE-23, 1938-1946 (1987).
[CrossRef]

Windeler, R. S.

Zysset, B.

P. Beaud, W. Hodel, B. Zysset, and H. P. Weber, "Ultrashort pulse propagation, pulse breakup, and fundamental soliton formation in a single-mode optical fiber," IEEE J. Quantum Electron. QE-23, 1938-1946 (1987).
[CrossRef]

IEEE J. Quantum Electron. (1)

P. Beaud, W. Hodel, B. Zysset, and H. P. Weber, "Ultrashort pulse propagation, pulse breakup, and fundamental soliton formation in a single-mode optical fiber," IEEE J. Quantum Electron. QE-23, 1938-1946 (1987).
[CrossRef]

IEEE Photon. Technol. Lett. (1)

N. Nishizawa and T. Goto, "Compact system of wavelength-tunable femtosecond soliton pulse generation using optical fibers," IEEE Photon. Technol. Lett. 11, 325-327 (1999).
[CrossRef]

J. Opt. Soc. Am. B (1)

JETP Lett. (1)

E. M. Dianov, A. Ya. Karasik, P. V. Mamyshev, A. M. Prokhorov, V. N. Serkin, M. F. Stelmakh, and A. A. Fomichev, "Stimulated-Raman conversion of multisoliton pulses in quartz optical fibers," JETP Lett. 41, 294-297 (1985).
[CrossRef]

Opt. Commun. (1)

A. Demircan and U. Bandelow, "Supercontinuum generation by the modulation instability," Opt. Commun. 244, 181-185 (2005).

Opt. Express (2)

Opt. Lett. (9)

Phys. Rev. A (1)

E. Brainis and D. Amans, "Scalar and vector modulation instability induced by vacuum fluctuations in fibers: numerical study," Phys. Rev. A 71, 023808 (2005).
[CrossRef]

Other (1)

G. P. Agrawal, Nonlinear Fiber Optics, 3rd ed. (Academic, 2001).

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