Abstract

The influence of the significantly nonstationary Raman contribution to nonlinear susceptibility on the dynamics of femtosecond optical solitons interaction and decay is theoretically analyzed. The theoretical results are in good quantitative agreement with the recent experiments of Mitschke and Mollenauer [Opt. Lett. 11, 659 (1986); 12, 355 (1987)].

© 1990 Optical Society of America

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References

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  1. F. M. Mitschke, L. F. Mollenauer, Opt. Lett. 11, 659 (1986).
    [Crossref] [PubMed]
  2. F. M. Mitschke, L. F. Mollenauer, Opt. Lett. 12, 355 (1987).
    [Crossref] [PubMed]
  3. E. M. Dianov, A. Ya. Karasik, P. V. Mamyshev, A. M. Prokhorov, V. N. Serkin, M. F. Stel’makh, A. A. Fomichev, JETP Lett. 41, 221 (1985).
  4. A. S. Gouveia-Neto, A. S. L. Gomes, J. R. Taylor, IEEE J. Quantum Electron. 24, 322 (1988).
    [Crossref]
  5. P. Beaud, W. Hodel, B. Sysset, H. P. Weber, IEEE J. Quantum Electron. QE-23, 1938 (1987).
    [Crossref]
  6. J. P. Gordon, Opt. Lett. 11, 622 (1986).
  7. Y. Kodama, A. Hasegawa, IEEE J. Quantum Electron. QE-23, 510 (1987).
    [Crossref]
  8. W. J. Tomlinson, R. H. Stolen, R. J. Hawkins, A. M. Weiner, in Digest of Conference on Nonlinear Guided-Wave Phenomena: Physics and Applications (Optical Society of America, Washington, D.C., 1989), paper THD5-1.
  9. R. H. Stolen, J. P. Gordon, W. J. Tomlinson, H. A. Haus, J. Opt. Soc. Am. B 6, 1159 (1989).
    [Crossref]
  10. Y. Kodama, K. Nozaki, Opt. Lett. 12, 1038 (1987).
    [Crossref] [PubMed]
  11. M. N. Islam, G. Sucha, I. Bar-Joseph, M. Wegener, J. P. Gordon, D. S. Chemla, Opt. Lett. 14, 370 (1989).
    [Crossref] [PubMed]

1989 (2)

1988 (1)

A. S. Gouveia-Neto, A. S. L. Gomes, J. R. Taylor, IEEE J. Quantum Electron. 24, 322 (1988).
[Crossref]

1987 (4)

P. Beaud, W. Hodel, B. Sysset, H. P. Weber, IEEE J. Quantum Electron. QE-23, 1938 (1987).
[Crossref]

Y. Kodama, A. Hasegawa, IEEE J. Quantum Electron. QE-23, 510 (1987).
[Crossref]

F. M. Mitschke, L. F. Mollenauer, Opt. Lett. 12, 355 (1987).
[Crossref] [PubMed]

Y. Kodama, K. Nozaki, Opt. Lett. 12, 1038 (1987).
[Crossref] [PubMed]

1986 (2)

1985 (1)

E. M. Dianov, A. Ya. Karasik, P. V. Mamyshev, A. M. Prokhorov, V. N. Serkin, M. F. Stel’makh, A. A. Fomichev, JETP Lett. 41, 221 (1985).

Bar-Joseph, I.

Beaud, P.

P. Beaud, W. Hodel, B. Sysset, H. P. Weber, IEEE J. Quantum Electron. QE-23, 1938 (1987).
[Crossref]

Chemla, D. S.

Dianov, E. M.

E. M. Dianov, A. Ya. Karasik, P. V. Mamyshev, A. M. Prokhorov, V. N. Serkin, M. F. Stel’makh, A. A. Fomichev, JETP Lett. 41, 221 (1985).

Fomichev, A. A.

E. M. Dianov, A. Ya. Karasik, P. V. Mamyshev, A. M. Prokhorov, V. N. Serkin, M. F. Stel’makh, A. A. Fomichev, JETP Lett. 41, 221 (1985).

Gomes, A. S. L.

A. S. Gouveia-Neto, A. S. L. Gomes, J. R. Taylor, IEEE J. Quantum Electron. 24, 322 (1988).
[Crossref]

Gordon, J. P.

Gouveia-Neto, A. S.

A. S. Gouveia-Neto, A. S. L. Gomes, J. R. Taylor, IEEE J. Quantum Electron. 24, 322 (1988).
[Crossref]

Hasegawa, A.

Y. Kodama, A. Hasegawa, IEEE J. Quantum Electron. QE-23, 510 (1987).
[Crossref]

Haus, H. A.

Hawkins, R. J.

W. J. Tomlinson, R. H. Stolen, R. J. Hawkins, A. M. Weiner, in Digest of Conference on Nonlinear Guided-Wave Phenomena: Physics and Applications (Optical Society of America, Washington, D.C., 1989), paper THD5-1.

Hodel, W.

P. Beaud, W. Hodel, B. Sysset, H. P. Weber, IEEE J. Quantum Electron. QE-23, 1938 (1987).
[Crossref]

Islam, M. N.

Karasik, A. Ya.

E. M. Dianov, A. Ya. Karasik, P. V. Mamyshev, A. M. Prokhorov, V. N. Serkin, M. F. Stel’makh, A. A. Fomichev, JETP Lett. 41, 221 (1985).

Kodama, Y.

Y. Kodama, K. Nozaki, Opt. Lett. 12, 1038 (1987).
[Crossref] [PubMed]

Y. Kodama, A. Hasegawa, IEEE J. Quantum Electron. QE-23, 510 (1987).
[Crossref]

Mamyshev, P. V.

E. M. Dianov, A. Ya. Karasik, P. V. Mamyshev, A. M. Prokhorov, V. N. Serkin, M. F. Stel’makh, A. A. Fomichev, JETP Lett. 41, 221 (1985).

Mitschke, F. M.

Mollenauer, L. F.

Nozaki, K.

Prokhorov, A. M.

E. M. Dianov, A. Ya. Karasik, P. V. Mamyshev, A. M. Prokhorov, V. N. Serkin, M. F. Stel’makh, A. A. Fomichev, JETP Lett. 41, 221 (1985).

Serkin, V. N.

E. M. Dianov, A. Ya. Karasik, P. V. Mamyshev, A. M. Prokhorov, V. N. Serkin, M. F. Stel’makh, A. A. Fomichev, JETP Lett. 41, 221 (1985).

Stel’makh, M. F.

E. M. Dianov, A. Ya. Karasik, P. V. Mamyshev, A. M. Prokhorov, V. N. Serkin, M. F. Stel’makh, A. A. Fomichev, JETP Lett. 41, 221 (1985).

Stolen, R. H.

R. H. Stolen, J. P. Gordon, W. J. Tomlinson, H. A. Haus, J. Opt. Soc. Am. B 6, 1159 (1989).
[Crossref]

W. J. Tomlinson, R. H. Stolen, R. J. Hawkins, A. M. Weiner, in Digest of Conference on Nonlinear Guided-Wave Phenomena: Physics and Applications (Optical Society of America, Washington, D.C., 1989), paper THD5-1.

Sucha, G.

Sysset, B.

P. Beaud, W. Hodel, B. Sysset, H. P. Weber, IEEE J. Quantum Electron. QE-23, 1938 (1987).
[Crossref]

Taylor, J. R.

A. S. Gouveia-Neto, A. S. L. Gomes, J. R. Taylor, IEEE J. Quantum Electron. 24, 322 (1988).
[Crossref]

Tomlinson, W. J.

R. H. Stolen, J. P. Gordon, W. J. Tomlinson, H. A. Haus, J. Opt. Soc. Am. B 6, 1159 (1989).
[Crossref]

W. J. Tomlinson, R. H. Stolen, R. J. Hawkins, A. M. Weiner, in Digest of Conference on Nonlinear Guided-Wave Phenomena: Physics and Applications (Optical Society of America, Washington, D.C., 1989), paper THD5-1.

Weber, H. P.

P. Beaud, W. Hodel, B. Sysset, H. P. Weber, IEEE J. Quantum Electron. QE-23, 1938 (1987).
[Crossref]

Wegener, M.

Weiner, A. M.

W. J. Tomlinson, R. H. Stolen, R. J. Hawkins, A. M. Weiner, in Digest of Conference on Nonlinear Guided-Wave Phenomena: Physics and Applications (Optical Society of America, Washington, D.C., 1989), paper THD5-1.

IEEE J. Quantum Electron. (3)

A. S. Gouveia-Neto, A. S. L. Gomes, J. R. Taylor, IEEE J. Quantum Electron. 24, 322 (1988).
[Crossref]

P. Beaud, W. Hodel, B. Sysset, H. P. Weber, IEEE J. Quantum Electron. QE-23, 1938 (1987).
[Crossref]

Y. Kodama, A. Hasegawa, IEEE J. Quantum Electron. QE-23, 510 (1987).
[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. Stel’makh, A. A. Fomichev, JETP Lett. 41, 221 (1985).

Opt. Lett. (5)

Other (1)

W. J. Tomlinson, R. H. Stolen, R. J. Hawkins, A. M. Weiner, in Digest of Conference on Nonlinear Guided-Wave Phenomena: Physics and Applications (Optical Society of America, Washington, D.C., 1989), paper THD5-1.

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Figures (4)

Fig. 1
Fig. 1

Calculations of the 3 . 1 sech pulse decay and its spectrum at z = 6π (T0 = 475 fsec, τ0 = T0/1.76).

Fig. 2
Fig. 2

(a) Soliton pair propagation (T0 = 200 fsec, Δ = 4). (b) Energy redistribution between the pulses E1/E2 as a function of pulse duration T0.

Fig. 3
Fig. 3

Pulse separation at output σout versus the pulse separation at input σin at z = 15zdisp. The points indicate the experiment2; the solid curves, numerical modeling (T0 = 1.17 psec).

Fig. 4
Fig. 4

(a) Dynamics of Raman soliton generation, with R = 225 and τ0 = 750 fsec. (b) The spectrum at z = 0.06.

Equations (8)

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2 E z 2 1 c 2 2 E t 2 = 4 π c 2 2 P lin t 2 + 4 π c 2 2 P Kerr t 2 + 4 π c 2 N α Q 2 ( QE ) t 2 ,
2 Q t 2 + 2 T 2 Q t + Ω R 2 Q = 1 2 M α Q n E 2 ,
n t + n 1 T 1 = 1 2 h Ω R α Q E 2 Q t .
i ψ z = 1 2 2 ψ τ 2 + R | ψ | 2 ψ + βRQψ + O ( T 0 / τ 0 ) ,
μ 2 2 Q τ 2 + 2 μγ Q τ + Q = | ψ | 2 .
O ( T 0 / τ 0 ) = T 0 π τ 0 [ 3 ψ τ 3 iR τ ( | ψ | 2 ψ ) 1 2 2 ψ z τ ] ,
Q ( t ) = 0 H ( τ ) | ψ ( t τ ) | 2 d τ ,
H ( τ ) = 1 ω 1 exp ( γ μ τ ) sin ( ω 1 τ ) , ω 1 = ( 1 γ 2 ) 1 / 2 / μ .

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