OSA's Digital Library

Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 15, Iss. 12 — Jun. 11, 2007
  • pp: 7448–7457

Femtosecond pulse synthesis by efficient second-harmonic generation in engineered quasi phase matching gratings

Usman K. Sapaev and Gaetano Assanto  »View Author Affiliations

Optics Express, Vol. 15, Issue 12, pp. 7448-7457 (2007)

View Full Text Article

Enhanced HTML    Acrobat PDF (294 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



We numerically design quasi-phase matched crystals with domains of arbitrary sizes for second harmonic generation by femtosecond pulses, taking into account both group velocity mismatch and dispersion. An efficient simulated-annealing algorithm is developed to design quasi-phase matching gratings which can yield the desired amplitude and phase of second-harmonic pulses in the presence of pump depletion. The method is illustrated with reference to single, double-hump and chirped fs Gaussian pulses in a lithium niobate crystal.

© 2007 Optical Society of America

OCIS Codes
(190.2620) Nonlinear optics : Harmonic generation and mixing
(190.4410) Nonlinear optics : Nonlinear optics, parametric processes

ToC Category:
Nonlinear Optics

Original Manuscript: April 17, 2007
Revised Manuscript: May 26, 2007
Manuscript Accepted: May 27, 2007
Published: June 1, 2007

Usman K. Sapaev and Gaetano Assanto, "Femtosecond pulse synthesis by efficient second-harmonic generation in engineered quasi phase matching gratings," Opt. Express 15, 7448-7457 (2007)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. J. A. Armstrong, N. Bloembergen, J. Ducuing and P. S. Pershan, "Interactions between Light Waves in a Nonlinear Dielectric," Phys. Rev. 127, 1918-1939 (1962). [CrossRef]
  2. M. A. Arbore, O. Marco and M. M. Fejer, "Pulse compression during second-harmonic generation in aperiodic quasi-phase-matching gratings," Opt. Lett. 22, 865-867 (1997). [CrossRef] [PubMed]
  3. M. A. Arbore, A. Galvanauskas, D. Harter, M. H. Chou and M. M. Fejer, "Engineerable compression of ultra-short pulses by use of second-harmonic generation in chirped-period-poled lithium niobate," Opt. Lett. 22, 1341-1343 (1997). [CrossRef]
  4. D. Artigas, D. T. Reid, M. M. Fejer and L. Torner, "Pulse compression and gain enhancement in a degenerate optical parametric amplifier based on aperiodically poled crystals," Opt. Lett. 27, 442-444 (2002) [CrossRef]
  5. D. Artigas and D. T. Reid, "Efficient femtosecond optical parametric oscillators based on aperiodically poled nonlinear crystals," Opt. Lett. 27, 851-853 (2002). [CrossRef]
  6. M. M. Fejer, G. A. Magel, D. H. Jundt and R. L. Byer, "Quasi-phase-matched second harmonic generation - Tuning and tolerances," IEEE J. Quantum Electron. 28, 2631-2653 (1992). [CrossRef]
  7. P. Loza-Alvarez, D. T. Reid, P. Faller, M. Ebrahimzadeh and W. Sibbett, "Simultaneous second-harmonic generation and femtosecond-pulse compression in aperiodically poled KTiOPO4 with a RbTiOAsO4 -based optical parametric oscillator," J. Opt. Soc. Am. B 16, 1553-1560 (1999). [CrossRef]
  8. P. Loza-Alvarez, D. T. Reid, P. Faller, M. Ebrahimzadeh, W. Sibbett, H. Karlsson and F. Laurell, "Simultaneous femtosecond-pulse compression and second-harmonic generation in aperiodically poled KTiOPO4," Opt. Lett. 24, 1071-1073 (1999). [CrossRef]
  9. T. Beddard, M. Ebrahimzadeh, D. T. Reid and W. Sibbett, "Five-optical-cycle pulse generation in the mid infrared from an optical parametric oscillator based on aperiodically poled lithium niobate," Opt. Lett. 25, 1052- 1054 (2000). [CrossRef]
  10. G. Imeshev, M. A. Arbore, M. M. Fejer, A. Galvanauskas, M. Fermann and D. Harter, "Ultrashort-pulse second-harmonic generation with longitudinally nonuniform quasi-phase-matching gratings: pulse compression and shaping," J. Opt. Soc. Am. B 17, 304-318 (2000). [CrossRef]
  11. G. Imeshev, M. A. Arbore, S. Kasriel and M. M. Fejer, "Pulse shaping and compression by second-harmonic generation with quasi-phase-matching gratings in the presence of arbitrary dispersion," J. Opt. Soc. Am. B 17, 1420-1437 (2000). [CrossRef]
  12. R. Buffa, "Transient second-harmonic generation with spatially non-uniform nonlinear coefficients," Opt. Lett. 27, 1058-1060 (2002). [CrossRef]
  13. R. Buffa and S. Cavalieri, "Optimal control of type I second-harmonic generation with ultrashort laser pulses," J. Opt. Soc. Am. B 17, 1901-1905 (2000). [CrossRef]
  14. M. Conforti, F. Baronio and C. De Angelis, "From femtosecond infrared to picosecond visible pulses: temporal shaping with high efficiency conversion," Opt. Lett. (to appear). [PubMed]
  15. S. Helmfrid and G. Arvidsson, "Influence of randomly varying domain lengths and non-uniform effective index on second-harmonic generation in quasi-phase-matching waveguides," J. Opt. Soc. Am. B 8, 797-805 (1991). [CrossRef]
  16. D. T. Reid, "Engineered quasi-phase-matching for second-harmonic generation," J. Opt. A: Pure Appl. Opt. 5, S97-S102 (2003). [CrossRef]
  17. U. Sapaev and D. T. Reid, "General second-harmonic pulse shaping in grating-engineered quasi-phase-matched nonlinear crystals," Opt. Express 13, 3264-3276 (2005). http://www.opticsinfobase.org/abstract.cfm?URI=oe-13-9-3264> [CrossRef] [PubMed]
  18. U. Sapaev, "Optimum shaping of a spectral response of second harmonic generation process in the aperiodic quasi-phase matched nonlinear crystal," Opt. Spectrosc. 102, 1023-1027 (2007).
  19. E. A. Morozov, A. A. Kaminski, A. S. Chirkin and D. B. Yusupov, "Second optical harmonic generation in nonlinear crystals with a disordered domain structure," JETP Lett. 73, 647-650 (2001). [CrossRef]
  20. W. H. Press, S. A Teukolsky, W. T. Vetterling and B. P. Flannery "Numerical Recipes", 2nd end (Cambridge University Press).
  21. R. A. Fisher and W. K. Bischel, "Numerical studies of the interplay between self-phase modulation and dispersion for intense plane-wave laser pulses," J. Appl. Phys. 46, 4921-4934 (1975). [CrossRef]
  22. E Sidick, A Knoesen and A Dienes, "Ultrashort-pulse second-harmonic generation. I: Transform-limited fundamental pulses," J. Opt. Soc. Am. B 12, 1704-1712 (1995). [CrossRef]
  23. 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]
  24. Y. Zang and B-Y. Gu, "Optimal design of aperiodically poled lithium niobate crystals for multiple wavelengths parametric amplification," Opt. Commun. 192, 417-425 (2001). [CrossRef]
  25. V. G. Dmitriev G. G. Gurzadyan, and D. N. Nikogosyan, Handbook of Nonlinear Optical Crystals, Springer, Berlin (1999).

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