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Optics Letters

Optics Letters


  • Vol. 28, Iss. 14 — Jul. 15, 2003
  • pp: 1251–1253

X waves generated at the second harmonic

Claudio Conti and Stefano Trillo  »View Author Affiliations

Optics Letters, Vol. 28, Issue 14, pp. 1251-1253 (2003)

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The process of optical frequency doubling in the undepleted regime can lead to the generation of an X-wave envelope with group velocity locked to the pump beam. Its parameters and its angular spectrum are directly related to the zeroth- and first-order dispersive features of the nonlinear process. This constitutes a novel mechanism for spatiotemporal localization of light.

© 2003 Optical Society of America

OCIS Codes
(190.4410) Nonlinear optics : Nonlinear optics, parametric processes
(190.4420) Nonlinear optics : Nonlinear optics, transverse effects in
(190.5530) Nonlinear optics : Pulse propagation and temporal solitons
(260.2110) Physical optics : Electromagnetic optics

Claudio Conti and Stefano Trillo, "X waves generated at the second harmonic," Opt. Lett. 28, 1251-1253 (2003)

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  1. J. A. Stratton, Electromagnetic Theory (McGraw-Hill, New York, 1941).
  2. E. Recami, Physica A 252, 586 (1998).
  3. J. Durnin, J. J. Miceli, and J. H. Eberly, Phys. Rev. Lett. 58, 1499 (1987).
  4. R. W. Ziolkowski, D. K. Lewis, and B. D. Cook, Phys. Rev. Lett. 62, 147 (1989).
  5. H. Sonajalg, M. Ratsep, and P. Saari, Opt. Lett. 22, 310 (1997).
  6. P. Saari and K. Reivelt, Phys. Rev. Lett. 79, 4135 (1997).
  7. D. Mugnai, A. Ranfagni, and R. Ruggeri, Phys. Rev. Lett. 84, 4830 (2000).
  8. R. W. Ziolkowski, I. M. Besieris, and A. M. Shaarawi, J. Opt. Soc. Am. A 10, 75 (1993).
  9. A. M. Shaarawi, J. Opt. Soc. Am. A 14, 1804 (1997).
  10. P. R. Stepanishen and J. Sun, J. Acoust. Soc. Am. 102, 3308 (1997).
  11. P. R. Stepanishen, J. Acoust. Soc. Am. 104, 1742 (1998).
  12. H. Sonajalg and P. Saari, Opt. Lett. 21, 1162 (1996).
  13. M. A. Porras, Opt. Lett. 26, 1364 (2001).
  14. M. Zamboni-Rached, E. Recami, and F. Fontana, Phys. Rev. E 64, 0666031 (2001).
  15. P. Saari, March 19, 2001, arXiv.org e-Print archive, preprint physics/0103054, http://arxiv.org.
  16. C. Conti, S. Trillo, P. D. Trapani, O. Jedrkiewicz, G. Valiulis, and J. Trull, Phys. Rev. Lett. 90, 170406 (2003).
  17. C. Conti, “X-wave mediated instability of plane waves in Kerr media,” Phys. Rev. E (to be published).
  18. S. Trillo, C. Conti, P. D. Trapani, O. Jedrkiewicz, J. Trull, G. Valiulis, and G. Bellanca, Opt. Lett. 27, 1451 (2002).
  19. P. Di Trapani, G. Valiulis, A. Piskarskas, O. Jedrkiewicz, J. Trull, C. Conti, and S. Trillo, “Spontaneously generated X-shaped light bullets,” Phys. Rev. Lett. (to be published).
  20. T. Levi-Civita, Caratteristiche dei Sistemi Differenziali e Propagazione Ondosa (Zanichelli, Bologna, Italy, 1931).
  21. J. T. Lunardi, Phys. Lett. A 291, 66 (2001).
  22. W. A. Rodrigues, D. S. Thober, and A. L. Xavier, Phys. Lett. A 284, 217 (2001).
  23. J. Salo and M. M. Salomaa, Acoust. Res. Lett. Online 2, 31 (2001).
  24. E. C. de Oliveira and W. A. Rodrigues, Phys. Lett. A 291, 367 (2001).
  25. M. Zamboni-Rached, E. Recami, and H. E. Harnandez-Figueroa, October 2, 2002, arXiv.org e-Print archive, preprint physics/0109062, http://arxiv.org.
  26. K. Reivelt and P. Saari, J. Opt. Soc. Am. A 17, 1785 (2000).
  27. M. Born and E. Wolf, Principles of Optics (Pergamon, New York, 1980).
  28. J. Salo, J. Fagerholm, A. T. Friberg, and M. M. Salomaa, Phys. Rev. E 62, 4261 (2000).

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