Abstract

Solitary-pulse generation in a degenerate optical parametric oscillator subjected to continuous-wave pumping is investigated theoretically. As with solitary lasers, pulse shaping is a phase effect induced by the interplay between self-phase modulation and group-delay dispersion, but pulse stability is ensured by the parametric gain itself and does not require any fast saturable absorber action.

© 1995 Optical Society of America

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References

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  1. See, for instance, the special issue on ultrashort-pulse generation, Appl. Phys. B 58, 157 (1994).
  2. D. E. Spence, P. N. Kean, W. Sibbett, Opt. Lett. 16, 42 (1991).
    [CrossRef] [PubMed]
  3. H. A. Haus, J. G. Fujimoto, E. P. Ippen, J. Opt. Soc. Am. B 8, 2068 (1991).
    [CrossRef]
  4. H. A. Haus, J. G. Fujimoto, P. E. Ippen, IEEE J. Quantum Electron. 28, 2086 (1992).
    [CrossRef]
  5. T. Brabec, Ch. Spielmann, F. Krausz, Opt. Lett. 16, 1961 (1991).
    [CrossRef] [PubMed]
  6. F. Krausz, M. E. Fermann, T. Brabec, P. F. Curley, M. Hofer, M. H. Ober, C. Spielmann, E. Wintner, A. J. Schmidt, IEEE J. Quantum Electron. 28, 2097 (1992).
    [CrossRef]
  7. C. J. Chen, P. K. A. Wai, C. R. Menyuk, Opt. Lett. 19, 198 (1994).
    [CrossRef] [PubMed]
  8. H. A. Haus, J. D. Moores, L. E. Nelson, Opt. Lett. 18, 51 (1993).
    [CrossRef] [PubMed]
  9. J. D. Moores, Opt. Commun. 96, 65 (1993).
    [CrossRef]
  10. See, for instance, the feature on optical parametric oscillation and amplification, J. Opt. Soc. Am. B 10, 2147 (1993).
  11. J. W. Miles, J. Fluid Mech. 148, 451 (1984).
    [CrossRef]
  12. S. Fauve, O. Thual, Phys. Rev. Lett. 64, 282 (1990).
    [CrossRef] [PubMed]
  13. R. DeSalvo, D. J. Hagan, H. Sheik-Bahae, G. Stegeman, E. W. Van Stryland, H. Vanherzeele, Opt. Lett. 17, 28 (1992).
    [CrossRef] [PubMed]

1994 (2)

See, for instance, the special issue on ultrashort-pulse generation, Appl. Phys. B 58, 157 (1994).

C. J. Chen, P. K. A. Wai, C. R. Menyuk, Opt. Lett. 19, 198 (1994).
[CrossRef] [PubMed]

1993 (3)

H. A. Haus, J. D. Moores, L. E. Nelson, Opt. Lett. 18, 51 (1993).
[CrossRef] [PubMed]

J. D. Moores, Opt. Commun. 96, 65 (1993).
[CrossRef]

See, for instance, the feature on optical parametric oscillation and amplification, J. Opt. Soc. Am. B 10, 2147 (1993).

1992 (3)

H. A. Haus, J. G. Fujimoto, P. E. Ippen, IEEE J. Quantum Electron. 28, 2086 (1992).
[CrossRef]

F. Krausz, M. E. Fermann, T. Brabec, P. F. Curley, M. Hofer, M. H. Ober, C. Spielmann, E. Wintner, A. J. Schmidt, IEEE J. Quantum Electron. 28, 2097 (1992).
[CrossRef]

R. DeSalvo, D. J. Hagan, H. Sheik-Bahae, G. Stegeman, E. W. Van Stryland, H. Vanherzeele, Opt. Lett. 17, 28 (1992).
[CrossRef] [PubMed]

1991 (3)

1990 (1)

S. Fauve, O. Thual, Phys. Rev. Lett. 64, 282 (1990).
[CrossRef] [PubMed]

1984 (1)

J. W. Miles, J. Fluid Mech. 148, 451 (1984).
[CrossRef]

Brabec, T.

F. Krausz, M. E. Fermann, T. Brabec, P. F. Curley, M. Hofer, M. H. Ober, C. Spielmann, E. Wintner, A. J. Schmidt, IEEE J. Quantum Electron. 28, 2097 (1992).
[CrossRef]

T. Brabec, Ch. Spielmann, F. Krausz, Opt. Lett. 16, 1961 (1991).
[CrossRef] [PubMed]

Chen, C. J.

Curley, P. F.

F. Krausz, M. E. Fermann, T. Brabec, P. F. Curley, M. Hofer, M. H. Ober, C. Spielmann, E. Wintner, A. J. Schmidt, IEEE J. Quantum Electron. 28, 2097 (1992).
[CrossRef]

DeSalvo, R.

Fauve, S.

S. Fauve, O. Thual, Phys. Rev. Lett. 64, 282 (1990).
[CrossRef] [PubMed]

Fermann, M. E.

F. Krausz, M. E. Fermann, T. Brabec, P. F. Curley, M. Hofer, M. H. Ober, C. Spielmann, E. Wintner, A. J. Schmidt, IEEE J. Quantum Electron. 28, 2097 (1992).
[CrossRef]

Fujimoto, J. G.

H. A. Haus, J. G. Fujimoto, P. E. Ippen, IEEE J. Quantum Electron. 28, 2086 (1992).
[CrossRef]

H. A. Haus, J. G. Fujimoto, E. P. Ippen, J. Opt. Soc. Am. B 8, 2068 (1991).
[CrossRef]

Hagan, D. J.

Haus, H. A.

Hofer, M.

F. Krausz, M. E. Fermann, T. Brabec, P. F. Curley, M. Hofer, M. H. Ober, C. Spielmann, E. Wintner, A. J. Schmidt, IEEE J. Quantum Electron. 28, 2097 (1992).
[CrossRef]

Ippen, E. P.

Ippen, P. E.

H. A. Haus, J. G. Fujimoto, P. E. Ippen, IEEE J. Quantum Electron. 28, 2086 (1992).
[CrossRef]

Kean, P. N.

Krausz, F.

F. Krausz, M. E. Fermann, T. Brabec, P. F. Curley, M. Hofer, M. H. Ober, C. Spielmann, E. Wintner, A. J. Schmidt, IEEE J. Quantum Electron. 28, 2097 (1992).
[CrossRef]

T. Brabec, Ch. Spielmann, F. Krausz, Opt. Lett. 16, 1961 (1991).
[CrossRef] [PubMed]

Menyuk, C. R.

Miles, J. W.

J. W. Miles, J. Fluid Mech. 148, 451 (1984).
[CrossRef]

Moores, J. D.

Nelson, L. E.

Ober, M. H.

F. Krausz, M. E. Fermann, T. Brabec, P. F. Curley, M. Hofer, M. H. Ober, C. Spielmann, E. Wintner, A. J. Schmidt, IEEE J. Quantum Electron. 28, 2097 (1992).
[CrossRef]

Schmidt, A. J.

F. Krausz, M. E. Fermann, T. Brabec, P. F. Curley, M. Hofer, M. H. Ober, C. Spielmann, E. Wintner, A. J. Schmidt, IEEE J. Quantum Electron. 28, 2097 (1992).
[CrossRef]

Sheik-Bahae, H.

Sibbett, W.

Spence, D. E.

Spielmann, C.

F. Krausz, M. E. Fermann, T. Brabec, P. F. Curley, M. Hofer, M. H. Ober, C. Spielmann, E. Wintner, A. J. Schmidt, IEEE J. Quantum Electron. 28, 2097 (1992).
[CrossRef]

Spielmann, Ch.

Stegeman, G.

Thual, O.

S. Fauve, O. Thual, Phys. Rev. Lett. 64, 282 (1990).
[CrossRef] [PubMed]

Van Stryland, E. W.

Vanherzeele, H.

Wai, P. K. A.

Wintner, E.

F. Krausz, M. E. Fermann, T. Brabec, P. F. Curley, M. Hofer, M. H. Ober, C. Spielmann, E. Wintner, A. J. Schmidt, IEEE J. Quantum Electron. 28, 2097 (1992).
[CrossRef]

Appl. Phys. B (1)

See, for instance, the special issue on ultrashort-pulse generation, Appl. Phys. B 58, 157 (1994).

IEEE J. Quantum Electron. (2)

H. A. Haus, J. G. Fujimoto, P. E. Ippen, IEEE J. Quantum Electron. 28, 2086 (1992).
[CrossRef]

F. Krausz, M. E. Fermann, T. Brabec, P. F. Curley, M. Hofer, M. H. Ober, C. Spielmann, E. Wintner, A. J. Schmidt, IEEE J. Quantum Electron. 28, 2097 (1992).
[CrossRef]

J. Fluid Mech. (1)

J. W. Miles, J. Fluid Mech. 148, 451 (1984).
[CrossRef]

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

See, for instance, the feature on optical parametric oscillation and amplification, J. Opt. Soc. Am. B 10, 2147 (1993).

H. A. Haus, J. G. Fujimoto, E. P. Ippen, J. Opt. Soc. Am. B 8, 2068 (1991).
[CrossRef]

Opt. Commun. (1)

J. D. Moores, Opt. Commun. 96, 65 (1993).
[CrossRef]

Opt. Lett. (5)

Phys. Rev. Lett. (1)

S. Fauve, O. Thual, Phys. Rev. Lett. 64, 282 (1990).
[CrossRef] [PubMed]

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Figures (1)

Fig. 1
Fig. 1

Eigenvalues of the linearized Eqs. (5) in the complex plane (a) for sin 2φ > 0 and (b) for sin 2φ < 0. The values of the other parameters are ϑ = −0.2, l = 0.1, and g = 0.15. The solid lines correspond to radiation modes.

Equations (8)

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T R T F = ( l + i ϑ ) F + g F * + i D t 2 F + i κ | F | 2 F .
F ( t ) = 2 / κ β sech ( β t / D ) exp ( i φ ) ,
cos 2 φ = l / g ,
β 2 = ϑ + g sin 2 φ .
T R T β = 2 β ( l + g cos 2 φ ) ,
T R T φ = ϑ g sin 2 φ + β 2 .
Λ u = ( l + i ϑ ) u + g ν + i ξ 2 u + 2 i × [ β 2 exp ( 2 i φ ) sech 2 ( β ξ ) ν + 2 β 2 sech 2 ( β ξ ) u ] ,
Λ ν = ( l i ϑ ) ν + g u i ξ 2 ν 2 i × [ β 2 exp ( 2 i φ ) sech 2 ( β ξ ) u + 2 β 2 sech 2 ( β ξ ) ν ] ,

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