OSA's Digital Library

Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Vol. 15, Iss. 2 — Feb. 1, 1998
  • pp: 625–627

Solitary-wave vortices in quadratic nonlinear media

Juan P. Torres, J. M. Soto-Crespo, Lluis Torner, and Dmitri V. Petrov  »View Author Affiliations


JOSA B, Vol. 15, Issue 2, pp. 625-627 (1998)
http://dx.doi.org/10.1364/JOSAB.15.000625


View Full Text Article

Enhanced HTML    Acrobat PDF (213 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

We find families of vortex solitary waves in bulk quadratic nonlinear media under conditions for second-harmonic generation. We show that the vortex solitary waves are azimuthally unstable and that they decay into sets of stable spatial solitons. We calculate the growth rates of the azimuthal perturbations and show how those affect the pattern of output light.

© 1998 Optical Society of America

OCIS Codes
(160.4330) Materials : Nonlinear optical materials
(190.0190) Nonlinear optics : Nonlinear optics
(190.5530) Nonlinear optics : Pulse propagation and temporal solitons

Citation
Juan P. Torres, J. M. Soto-Crespo, Lluis Torner, and Dmitri V. Petrov, "Solitary-wave vortices in quadratic nonlinear media," J. Opt. Soc. Am. B 15, 625-627 (1998)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-15-2-625


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. J. F. Nye and M. V. Berry, Proc. R. Soc. London, Ser. A 336, 165 (1974). [CrossRef]
  2. G. Indebetouw, J. Mod. Opt. 40, 73 (1993); F. S. Roux, J. Opt. Soc. Am. B 12, 1215 (1995). [CrossRef]
  3. V. I. Kruglov and R. A. Vlasov, Phys. Lett. A 111, 401 (1985); I. V. Basistiy, V. Yu. Bazhenov, M. S. Soskin, and M. V. Vasnetsov, Opt. Commun. 103, 422 (1993); N. N. Rosanov, in Progress in Optics, E. Wolf, ed. (Elsevier, Amsterdam, 1996), Vol. 35. [CrossRef]
  4. G. A. Swartzlander and C. T. Law, Phys. Rev. Lett. 69, 2503 (1992); V. Tikhonenko, J. Christou, and B. Luther-Davies, J. Opt. Soc. Am. B 12, 2046 (1995). [CrossRef] [PubMed]
  5. A. V. Mamaev, M. Saffman, and A. A. Zozulya, Phys. Rev. Lett. 78, 2108 (1997); Z. Chen, M. Segev, D. W. Wilson, R. E. Muller, and P. D. Maker, Phys. Rev. Lett. 78, 2948 (1997). [CrossRef]
  6. L. Torner and D. V. Petrov, Electron. Lett. 33, 608 (1997). [CrossRef]
  7. C. R. Menyuk, R. Schiek, and L. Torner, J. Opt. Soc. Am. B 11, 2434 (1994). [CrossRef]
  8. A. V. Buryak, Y. S. Kivshar, and V. V. Steblina, Phys. Rev. A 52, 1670 (1995); L. Torner, D. Mihalache, D. Mazilu, E. W. Wright, W. E. Torruellas, and G. I. Stegeman, Opt. Commun. 121, 149 (1995). [CrossRef] [PubMed]
  9. 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). [CrossRef] [PubMed]
  10. A. A. Kanashov and A. M. Rubenchik, Physica D 4, 122 (1981); S. Trillo and P. Ferro, Opt. Lett. 20, 438 (1995). [CrossRef] [PubMed]
  11. N. N. Akhmediev, V. I. Korneev, and Yu. V. Kuz’menko, Sov. Phys. JETP 61, 62 (1985); J. M. Soto-Crespo, D. R. Heatley, E. M. Wright, and N. N. Akhmediev, Phys. Rev. A 44, 636 (1991). [CrossRef] [PubMed]

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.

Figures

Fig. 1 Fig. 2 Fig. 3
 
Fig. 4
 

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited