OSA's Digital Library

Optics Letters

Optics Letters


  • Vol. 23, Iss. 5 — Mar. 1, 1998
  • pp: 346–348

Spatial solitary waves and patterns in type II second-harmonic generation

Stefano Longhi  »View Author Affiliations

Optics Letters, Vol. 23, Issue 5, pp. 346-348 (1998)

View Full Text Article

Acrobat PDF (262 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



The existence of Turing patterns and of spatial solitary waves that arise from a polarization instability of the fundamental field is predicted in type II second-harmonic generation in a quadratically nonlinear optical cavity. The analogy between these dissipative structures and those studied in absorptive optical bistability is pointed out.

© 1998 Optical Society of America

OCIS Codes
(190.3100) Nonlinear optics : Instabilities and chaos
(190.4410) Nonlinear optics : Nonlinear optics, parametric processes
(190.4420) Nonlinear optics : Nonlinear optics, transverse effects in

Stefano Longhi, "Spatial solitary waves and patterns in type II second-harmonic generation," Opt. Lett. 23, 346-348 (1998)

Sort:  Author  |  Year  |  Journal  |  Reset


  1. A. V. Buryak and Y. S. Kivshar, Opt. Lett. 19, 1612 (1994); 20, 834 (1995) ; L. Torner, C. R. Menyuk, W. E. Torruellas, G. I. Stegeman, Opt. Lett. 20, 13 (1995); A. V. Buryak, Y. S. Kivshar, V. V. Steblina, Phys. Rev. A 52, 1670 (1995).
  2. W. E. Torruellas, Z. Wang, D. J. Hagan, E. W. Van Stryland, G. I. Stegeman, L. Torner, and C. R. Menyuk, Phys. Rev. Lett. 74, 5036 (1995).
  3. R. A. Fuerst, D.-M. Baboiu, B. Lawrence, W. E. Torruellas, G. I. Stegeman, S. Trillo, and S. Wabnitz, Phys. Rev. Lett. 78, 2756 (1997).
  4. A. V. Buryak, Y. S. Kivshar, and S. Trillo, Phys. Rev. Lett. 77, 5210 (1996).
  5. G.-L. Oppo, M. Brambilla, and L. A. Lugiato, Phys. Rev. A 49, 2028 (1994); S. Longhi, Phys. Rev. A 53, 4488 (1996) ; S. Longhi A. Geraci, Phys. Rev. APLRAAN 54, 4581 (1996) ; G. J. De Valcarcel, K. Staliunas, E. Roldan, V. J. Sanchez-Morcillo, Phys. Rev. APLRAAN 54, 1609 (1996).
  6. S. Longhi, Opt. Lett. 20, 695 (1995); 21, 860 (1996); Phys. Scr. 56, 611 (1997).
  7. S. Trillo and M. Haelterman, Opt. Lett. 21, 1114 (1996).
  8. K. Staliunas and V. J. Sanchez-Morcillo, Opt. Commun. 139, 306 (1997).
  9. S. Trillo, M. Haelterman, and A. Sheppard, Opt. Lett. 22, 970 (1997).
  10. C. Etrich, U. Peschel, and F. Lederer, Phys. Rev. Lett. 79, 2454 (1997).
  11. M. Tlidi, M. Georgiou, and P. Mandel, Phys. Rev. A 48, 4605 (1993).
  12. M. Tlidi, P. Mandel, and R. Lefever, Phys. Rev. Lett. 73, 640 (1994).
  13. J. B. Geddes, J. V. Moloney, E. M. Wright, and W. J. Firth, Opt. Commun. 111, 623 (1994).
  14. Z. Y. Ou, Phys. Rev. A 49, 4902 (1994).
  15. C. B. Clausen, O. Bang, and Y. S. Kivshar, Phys. Rev. Lett. 78, 4749 (1997).
  16. In practice, one can achieve this by varying the polarization angle j of the driving field around π/4 [see Fig. 1(b)], keeping constant its amplitude E ; in this way, for small angle variations, the effect at leading order is to change E- but not E+.

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.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited