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Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Editor: G. I. Stegeman
  • Vol. 23, Iss. 1 — Jan. 1, 2006
  • pp: 51–55

Induced group-velocity dispersion in phase-mismatched second-harmonic generation

Wenhua Su, Liejia Qian, Hang Luo, Xiquan Fu, Heyuan Zhu, Tao Wang, Kale Beckwitt, Yifan Chen, and Frank Wise  »View Author Affiliations

JOSA B, Vol. 23, Issue 1, pp. 51-55 (2006)

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We show theoretically and experimentally that, in phase-mismatched second-harmonic generation, an effective group-velocity dispersion is induced at the second-harmonic frequency. Experimental results agree quite well with the theoretical predictions. Although large phase mismatch is required to induce appreciable group-velocity dispersion in birefringent nonlinear crystals, similar effects can be observed in quasi-phase-matched structures at much lower phase mismatch. Some implications of the induced dispersion for pulse propagation in quadratic media are discussed.

© 2006 Optical Society of America

OCIS Codes
(190.2620) Nonlinear optics : Harmonic generation and mixing
(190.7110) Nonlinear optics : Ultrafast nonlinear optics
(320.7120) Ultrafast optics : Ultrafast phenomena

ToC Category:
Nonlinear Optics

Wenhua Su, Liejia Qian, Hang Luo, Xiquan Fu, Heyuan Zhu, Tao Wang, Kale Beckwitt, Yifan Chen, and Frank Wise, "Induced group-velocity dispersion in phase-mismatched second-harmonic generation," J. Opt. Soc. Am. B 23, 51-55 (2006)

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  1. H. Y. Zhu, T. Wang, W. G. Zheng, P. Yuan, L. J. Qian, and D. Y. Fan, "Efficient second harmonic generation of femtosecond laser at 1 µm," Opt. Express 12, 2150-2155 (2004). [CrossRef] [PubMed]
  2. H. J. Bakker, P. C. M. Planken, L. Kuipers, and A. Lagendijk, "Phase modulation in second-order nonlinear optical processes," Phys. Rev. A 42, 4085-4101 (1990). [CrossRef] [PubMed]
  3. R. DeSalvo, D. J. Hagan, M. Sheik-Bahae, G. Stegeman, E. W. Van Stryland, and H. Vanherzeele, "Self-focusing and self-defocusing by cascaded second-order effects in KTP," Opt. Lett. 17, 28-30 (1992). [CrossRef] [PubMed]
  4. S. Trillo and P. Ferro, "Modulational instability in second-harmonic generation," Opt. Lett. 20, 438-440 (1995). [CrossRef] [PubMed]
  5. R. Schiek, H. Fang, R. Malendevich, and G. I. Stegeman, "Measurement of modulational instability gain of second-order nonlinear optical eigenmodes in a one-dimensional system," Phys. Rev. Lett. 86, 4528-4531 (2001). [CrossRef] [PubMed]
  6. D. Mihalache, D. Mazilu, L. C. Crasovan, L. Torner, B. A. Malomed, and F. Lederer, "Three-dimensional walking spatiotemporal solitons in quadratic media," Phys. Rev. E 62, 7340-7347 (2000). [CrossRef]
  7. X. Liu, L. J. Qian, and F. W. Wise, "Generation of optical spatiotemporal solitons," Phys. Rev. Lett. 82, 4631-4634 (1999). [CrossRef]
  8. X. Liu, K. Beckwitt, and F. W. Wise, "Two-dimensional optical spatiotemporal solitons in quadratic media," Phys. Rev. E 62, 1328-1340 (2000). [CrossRef]
  9. C. Conti, S. Trillo, P. Di Trapani, G. Valiulis, A. Piskarskas, O. Jedrkiewicz, and J. Trull, "Nonlinear electromagnetic X waves," Phys. Rev. Lett. 90, 170406 (2003). [CrossRef] [PubMed]
  10. 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. 91, 093904 (2003). [CrossRef] [PubMed]
  11. S. Trillo, C. Conti, P. Di Trapani, O. Jedrkiewicz, J. Trull, G. Valiulis, and G. Bellanca, "Colored conical emission by means of second-harmonic generation," Opt. Lett. 27, 1451-1453 (2002). [CrossRef]
  12. R. Trebino, "Second-harmonic-generation rings and refractive-index measurement in uniaxial crystals," Appl. Opt. 20, 2090-2096 (1981). [CrossRef] [PubMed]
  13. P. Xu, S. H. Ji, S. N. Zhu, X. Q. Yu, J. Sun, H. T. Wang, J. L. He, Y. Y. Zhu, and N. B. Ming, "Conical second harmonic generation in a two-dimensional chi(2) photonic crystal: a hexagonally poled LiTaO3 crystal," Phys. Rev. Lett. 93, 133904 (2004). [CrossRef] [PubMed]
  14. A. D. Boardman, K. Marinov, D. I. Pushkarov, and A. Shivarova, "Wave-beam coupling in quadratic nonlinear optical waveguides: effects of nonlinearly induced diffraction," Phys. Rev. E 62, 2871-2877 (2000). [CrossRef]
  15. J. T. Manassah, "Effects of velocity dispersion on a generated second harmonic signal," Appl. Opt. 27, 4365-4367 (1988). [CrossRef] [PubMed]
  16. L. D. Noordam, H. J. Bakker, M. P. de Boer, and H. B. V. Vandenheuvell, "Second-harmonic generation of femtosecond pulses: observation of phase-mismatch effects," Opt. Lett. 15, 1464-1466 (1990). [CrossRef] [PubMed]
  17. M. A. Arbore, A. Galvanauskas, D. Harter, M. H. Chou, and M. M. Fejer, "Engineerable compression of ultrashort pulses by use of second-harmonic generation in chirped-period-poled lithium niobate," Opt. Lett. 22, 1341-1343 (1997). [CrossRef]
  18. T. Wang, L. J. Qian, H. Y. Zhu, Z. J. Hou, and F. M. Li, "Beam-quality improved efficient second-harmonic generation in aperiodic quasi-phase-matching gratings," Opt. Commun. 188, 213-217 (2001). [CrossRef]
  19. N. C. Kothari and X. Carlotti, "Transient second-harmonic generation: influence of effective group-velocity dispersion," J. Opt. Soc. Am. B 5, 756-764 (1988). [CrossRef]
  20. R. M. Rassoul, A. Ivanov, E. Freysz, A. Ducasse, and F. Hache, "Second-harmonic generation under phase-velocity and group-velocity mismatch: influence of cascading self-phase and cross-phase modulation," Opt. Lett. 22, 268-270 (1997). [CrossRef] [PubMed]
  21. B. A. Malomed, P. Drummond, H. He, A. Berntson, A. Anderson, and M. Lisak, "Spatiotemporal solitons in multidimensional optical media with a quadratic nonlinearity," Phys. Rev. E 56, 4725-4735 (1997). [CrossRef]
  22. I. N. Towers, B. A. Malomed, and F. W. Wise, "Light bullets in quadratic media with normal dispersion at the second harmonic," Phys. Rev. Lett. 90, 123902 (2003). [CrossRef] [PubMed]

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