OSA's Digital Library

Optics Letters

Optics Letters


  • Vol. 26, Iss. 13 — Jul. 1, 2001
  • pp: 1007–1009

Accurate switching intensities and length scales in quasi-phase-matched materials

Ole Bang, Torben Winther Graversen, and Joel F. Corney  »View Author Affiliations

Optics Letters, Vol. 26, Issue 13, pp. 1007-1009 (2001)

View Full Text Article

Acrobat PDF (99 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



We consider unseeded type I second-harmonic generation in quasi-phase-matched quadratic nonlinear materials and derive an accurate analytical expression for the evolution of the average intensity. The intensity-dependent nonlinear phase mismatch that is due to the cubic nonlinearity induced by quasi phase matching is found. The equivalent formula for the intensity of maximum conversion, the crossing of which changes the one-period nonlinear phase shift of the fundamental abruptly by π , corrects earlier estimates [Opt. Lett. 23, 506 (1998)] by a factor of 5.3. We find the crystal lengths that are necessary to obtain an optimal flat phase versus intensity response on either side of this separatrix intensity.

© 2001 Optical Society of America

OCIS Codes
(070.4340) Fourier optics and signal processing : Nonlinear optical signal processing
(190.4410) Nonlinear optics : Nonlinear optics, parametric processes
(190.5940) Nonlinear optics : Self-action effects

Ole Bang, Torben Winther Graversen, and Joel F. Corney, "Accurate switching intensities and length scales in quasi-phase-matched materials," Opt. Lett. 26, 1007-1009 (2001)

Sort:  Author  |  Year  |  Journal  |  Reset


  1. For a review, see G. Stegeman, D. J. Hagan, and L. Torner, Opt. Quantum Electron. 28, 1691 (1996).
  2. J. A. Armstrong, N. Bloembergen, J. Ducuing, and P. S. Pershan, Phys. Rev. 127, 1918 (1962).
  3. M. M. Fejer, in Beam Shaping and Control with Nonlinear Optics, F. Kajzar and R. Reinisch, eds. (Plenum, New York, 1998), pp. 375–406.
  4. A. Saher Helmy, D. C. Hutchings, T. C. Kleckner, J. H. Marsh, A. C. Bryce, J. M. Arnold, C. R. Stanley, J. S. Aitchison, C. T. A. Brown, K. Moutzouris, and M. Ebrahimzadeh, Opt. Lett. 25, 1370 (2000).
  5. C. Balslev Clausen, O. Bang, and Y. S. Kivshar, Phys. Rev. Lett. 78, 4749 (1997).
  6. J. F. Corney and O. Bang, “Solitons in quadratic nonlinear photonic crystals,” March 20, 2001, arXiv.org e-Print archive, Preprint nlin.PS/0007042, http://xxx.lanl.gov.
  7. O. Bang, C. Balslev Clausen, P. L. Christiansen, and L. Torner, Opt. Lett. 24, 1413 (1999).
  8. A. Kobyakov, F. Lederer, O. Bang, and Y. S. Kivshar, Opt. Lett. 23, 506 (1998).
  9. W. Choe, P. P. Banerjee, and F. C. Caimi, J. Opt. Soc. Am. B 8, 1013 (1991).
  10. L. S. Telegin and A. S. Chirkin, Kvant. Elektron. 9, 2086 (1982) Sov. J. Quantum Electron. 12, 1354 (1982).
  11. Y. Zhao, G. Town, and M. Sceats, Opt. Commun. 115, 129 (1995).
  12. C. R. Menyuk, R. Schiek, and L. Torner, J. Opt. Soc. Am. B 11, 2434 (1994).
  13. O. Bang, J. Opt. Soc. Am. B 14, 51 (1997).
  14. O. Bang, Y. S. Kivshar, A. V. Buryak, A. De Rossi, and S. Trillo, Phys. Rev. E 58, 5057 (1998).
  15. P. Di Trapani, A. Bramati, S. Minardi, W. Chinaglia, S. Trillo, C. Conti, J. Killius, and G. Valiulis, in Digest of Nonlinear Guided Waves and Their Applications (Optical Society of America, Washington, D.C., 2001), pp. 179–181.

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