OSA's Digital Library

Optics Letters

Optics Letters


  • Vol. 21, Iss. 12 — Jun. 15, 1996
  • pp: 860–862

Dark solitons in degenerate optical parametric oscillators

Stefano Longhi  »View Author Affiliations

Optics Letters, Vol. 21, Issue 12, pp. 860-862 (1996)

View Full Text Article

Enhanced HTML    Acrobat PDF (257 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



It is shown theoretically that a degenerate optical parametric oscillator with a frequency limiter and continuous-wave pumping can generate stable dark solitons when it operates near antiresonance. These solitons are supported by the combined effect of pump depletion and spectral filtering, and their stability is ensured by the phase-dependent nature of the parametric gain.

© 1996 Optical Society of America

Original Manuscript: January 5, 1996
Published: June 15, 1996

Stefano Longhi, "Dark solitons in degenerate optical parametric oscillators," Opt. Lett. 21, 860-862 (1996)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. See, for instance, the feature on optical parametric oscillation and amplification, J. Opt. Soc. Am. B 10, 2147–2243 (1993), and the feature on optical parametric devices, J. Opt. Soc. Am. B 12, 2083–2320 (1995).
  2. L. Wu, H. J. Kimble, J. Hall, H. Wu, Phys. Rev. Lett. 57, 2520 (1986); A. Heidmann, R. J. Horowicz, S. Reynaud, E. Giacobino, C. Fabre, G. Camy, Phys. Rev. Lett. 59, 2555 (1987). [CrossRef] [PubMed]
  3. J. Falk, IEEE J. Quantum Electron. QE-7, 230 (1971). [CrossRef]
  4. L. A. Lugiato, C. Oldano, C. Fabre, E. Giacobino, R. J. Horowicz, Nuovo Cimento D 10, 959 (1988). [CrossRef]
  5. R. C. Eckardt, C. D. Nabors, W. J. Kozlovsky, R. L. Byer, J. Opt. Soc. Am. B 8, 646 (1991); T. Debuisschert, A. Sizmann, E. Giacobino, C. Fabre, J. Opt. Soc. Am. B 10, 1668 (1993); S. T. Yang, R. C. Eckardt, R. L. Byer, J. Opt. Soc. Am. B 10, 1684 (1993); D. Lee, N. C. Wang, J. Opt. Soc. Am. B 10, 1659 (1993). [CrossRef]
  6. C. Richy, K. I. Petsas, E. Giacobino, C. Fabre, L. Lugiato, J. Opt. Soc. Am. B 12, 456 (1995). [CrossRef]
  7. G-L. Oppo, M. Brambilla, L. A. Lugiato, Phys. Rev. A 49, 2028 (1994); K. Staliunas, J. Mod. Opt. 42, 1261 (1995). [CrossRef] [PubMed]
  8. S. Longhi, Opt. Lett. 20, 695 (1995); S. Longhi, A. Geraci, Appl. Phys. Lett. 67, 3060 (1995). [CrossRef] [PubMed]
  9. A. Mecozzi, W. L. Kath, P. Kumar, C. G. Goedde, Opt. Lett. 19, 2050 (1994). [CrossRef] [PubMed]
  10. For a review of dark solitons in nonlinear optics, see, for instance, Y. S. Kivshar, IEEE J. Quantum Electron. 29, 250 (1993); for recent developments on dark solitons in dispersive quadratic media, seeA. V. Buryak, Y. S. Kivshar, Opt. Lett. 20, 834 (1995), and references therein. [CrossRef] [PubMed]
  11. H. A. Haus, J. Appl. Phys. 46, 3049 (1975); H. A. Haus, J. G. Fujimoto, E. P. Ippen, J. Opt. Soc. Am. B 8, 2068 (1991). [CrossRef]
  12. S. Longhi, “Hydrodynamic equation model for degenerate optical parametric oscillators,”J. Mod. Opt. (to be published).
  13. M. C. Cross, P. C. Hohenberg, Rev. Mod. Phys. 65, 851 (1993). [CrossRef]
  14. L. N. Bulaevskii, V. L. Ginzburg, Sov. Phys. JETP 18, 530 (1964); S. Sarker, S. E. Trullinger, A. R. Bishop, Phys. Lett. A 59, 255 (1976). [CrossRef]
  15. G. Pöschl, E. Teller, Z. Phys. 83, 143 (1933); P. M. Morse, H. Feshbach, in Methods of Theoretical Physics, P. M. Morse, H. Feshbach, eds. (McGraw-Hill, New York, 1953), Vol. 2, p. 1650. [CrossRef]
  16. Strictly speaking, in the nonvariational case, i.e., for ν ≠ 0, the eigenvalue Λ1 should belong to the continuous spectrum because, although ξ2 vanishes at infinity, when Eq. (10a) is solved its solution ξ1 is not in general a bound state.

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


Fig. 1

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited