OSA's Digital Library

Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 19, Iss. 12 — Jun. 6, 2011
  • pp: 11340–11354

Second harmonic generation in multi-domain χ 2 media: from disorder to order

Mousa Ayoub, Jörg Imbrock, and Cornelia Denz  »View Author Affiliations

Optics Express, Vol. 19, Issue 12, pp. 11340-11354 (2011)

View Full Text Article

Enhanced HTML    Acrobat PDF (4484 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



We investigate systematically the evolution of second harmonic generation in strontium barium niobate with different degrees of disorder of its χ2 nonlinearity. These different degrees of disordered domain structures are achieved through electrically switching of the polarization at room temperature. The size and distribution of the domains change during the poling process and this in turn strongly affects the spatial distribution of the second harmonic signal. The degree of disorder can be determined by analyzing the angular distribution and wavelength dependence of the second harmonic emission patterns combined with measurements of the spontaneous polarization. We demonstrate evidence of the control of the second harmonic emission pattern by creating defined states of order, and successfully reproduce the resulting patterns theoretically.

© 2011 OSA

OCIS Codes
(160.2260) Materials : Ferroelectrics
(190.0190) Nonlinear optics : Nonlinear optics
(190.2620) Nonlinear optics : Harmonic generation and mixing
(190.4420) Nonlinear optics : Nonlinear optics, transverse effects in

ToC Category:
Nonlinear Optics

Original Manuscript: February 24, 2011
Revised Manuscript: April 29, 2011
Manuscript Accepted: May 1, 2011
Published: May 26, 2011

Mousa Ayoub, Jörg Imbrock, and Cornelia Denz, "Second harmonic generation in multi-domain χ2 media: from disorder to order," Opt. Express 19, 11340-11354 (2011)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. 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, 2631–2654 (1992). [CrossRef]
  2. V. Berger, “Nonlinear photonic crystals,” Phys. Rev. Lett. 81, 4136–4139 (1998). [CrossRef]
  3. I. Freund, “Nonlinear diffraction,” Phys. Rev. Lett. 21, 1404–1406 (1968). [CrossRef]
  4. G. Dolino, J. Lajzerowicz, and M. Vallade, “Second-harmonic light scattering by domains in ferroelectric triglycine sulfate,” Phys. Rev. B 2, 2194–2200 (1970). [CrossRef]
  5. M. Baudrier-Raybaut, R. Haidar, P. Kupecek, P. Lemasson, and E. Rosencher, “Random quasi-phase-matching in bulk polycrystalline isotropic nonlinear materials,” Nature 432, 374–376 (2004). [CrossRef] [PubMed]
  6. P. Molina, S. Álvarez García, M. O. Ramírez, J. García-Sole, L. E. Bausá, H. Zhang, W. Gao, J. Wang, and M. Jiang, “Nonlinear prism based on the natural ferroelectric domain structure in calcium barium niobate,” Appl. Phys. Lett. 94, 071111 (2009). [CrossRef]
  7. A. S. Aleksandrovsky, A. M. Vyunishev, I. E. Shakhura, A. I. Zaitsev, and A. V. Zamkov, “Random quasi-phase-matching in a nonlinear photonic crystal structure of strontium tetraborate,” Phys. Rev. A 78, 031802 (2008). [CrossRef]
  8. S. Kawai, T. Ogawa, H. S. Lee, R. C. DeMattei, and R. S. Feigelson, “Second-harmonic generation from needle-like ferroelectric domains in Sr0.6Ba0.4Nd2O6 single crystals,” Appl. Phys. Lett. 73, 768–770 (1998). [CrossRef]
  9. F. Sibbers, J. Imbrock, and C. Denz, “Sum-frequency generation in disordered quadratic nonlinear media,” Proc. SPIE 7728, 77280Y (2010). [CrossRef]
  10. R. Fischer, S. M. Saltiel, D. N. Neshev, W. Krolikowski, and Y. S. Kivshar, “Broadband femtosecond frequency doubling in random media,” Appl. Phys. Lett. 89, 191105 (2006). [CrossRef]
  11. P. Molina, M. de la O Ramírez, and L. E. Bausá, “Strontium barium niobate as a multifunctional two-dimensional nonlinear photonic glass,” Adv. Funct. Mater. 18, 709–715 (2008). [CrossRef]
  12. A. R. Tunyagi, M. Ulex, and K. Betzler, “Noncollinear optical frequency doubling in strontium barium niobate,” Phys. Rev. Lett. 90, 243901 (2003). [CrossRef] [PubMed]
  13. K. A. Kuznetsov, G. K. Kitaeva, A. V. Shevlyuga, L. I. Ivleva, and T. R. Volk, “Second harmonic generation in a strontium barium niobate crystal with a random domain structure,” JETP Lett. 87, 98–102 (2008). [CrossRef]
  14. S. M. Saltiel, D. N. Neshev, R. Fischer, W. Krolikowski, A. Arie, and Y. S. Kivshar, “Spatiotemporal toroidal waves from the transverse second-harmonic generation,” Opt. Lett. 33, 527–529 (2008). [CrossRef] [PubMed]
  15. R. Fischer, D. N. Neshev, S. M. Saltiel, A. A. Sukhorukov, W. Krolikowski, and Y. S. Kivshar, “Monitoring ultrashort pulses by transverse frequency doubling of counterpropagating pulses in random media,” Appl. Phys. Lett. 91, 031104 (2007). [CrossRef]
  16. J. Trull, S. Saltiel, V. Roppo, C. Cojocaru, D. Dumay, W. Krolikowski, D. Neshev, R. Vilaseca, K. Staliunas, and Y. Kivshar, “Characterization of femtosecond pulses via transverse second-harmonic generation in random nonlinear media,” Appl. Phys. B 95, 609–615 (2009). [CrossRef]
  17. D. Dumay, S. M. Saltiel, D. N. Neshev, W. Krolikowski, and Y. S. Kivshar, “Pulse measurements by randomly quasi phase matched second harmonic generation in the regime of total internal reflection,” J. Phys. B 42, 175403 (2009). [CrossRef]
  18. U. Voelker and K. Betzler, “Domain morphology from k-space spectroscopy of ferroelectric crystals,” Phys. Rev. B 74, 132104 (2006). [CrossRef]
  19. U. Voelker, U. Heine, C. Gödecker, and K. Betzler“Domain size effects in a uniaxial ferroelectric relaxor system: The case of SrxBa1–xNb2O6,” J. Appl. Phys. 102, 114112 (2007). [CrossRef]
  20. D. V. Isakov, M. S. Belsley, T. R. Volk, and L. I. Ivleva, “Diffuse second harmonic generation under the ferro-electric switching in Sr0.75Ba0.25Nb2O6 crystals,” Appl. Phys. Lett. 92, 032904 (2008). [CrossRef]
  21. D. V. Isakov, T. R. Volk, and L. I. Ivleva, “Investigation of ferroelectric properties of strontium barium niobate crystals by second harmonic generation technique,” Phys. Solid State 51, 2334–2341 (2009). [CrossRef]
  22. T. Volk, D. Isakov, M. S. Belsley, and L. Ivleva, “Switching kinetics of a relaxor ferroelectric Sr0.75Ba0.25Nb2O6 observed by the second harmonic generation method,” Phys. Status Solidi A 2, 321–325 (2009). [CrossRef]
  23. D. Viehland, Z. Xu, and W.-H. Huang, “Structure-property relationships in strontium barium niobate I. needle-like nanopolar domains and the metastably-locked incommensurate structure,” Philos. Mag. A 71, 205–217 (1995). [CrossRef]
  24. P. Lehnen, W. Kleemann, T. Woike, and R. Pankrath, “Ferroelectric nanodomains in the uniaxial relaxor system Sr0.61−x Ba0.39 Nb2 O6 :Cex3+,” Phys. Rev. B 64, 224109 (2001). [CrossRef]
  25. J. Dec, V. V. Shvartsman, and W. Kleemann, “Domainlike precursor clusters in the paraelectric phase of the uniaxial relaxor Sr0.61Ba0.39Nb2O6,” Appl. Phys. Lett. 89, 212901 (2006). [CrossRef]
  26. K. Terabe, S. Takekawa, M. Nakamura, K. Kitamura, S. Higuchi, Y. Gotoh, and A. Gruverman, “Imaging and engineering the nanoscale-domain structure of a Sr0.61Ba0.39Nb2O6 crystal using a scanning force microscope,” Appl. Phys. Lett. 81, 2044–2046 (2002). [CrossRef]
  27. V. V. Shvartsman, W. Kleemann, T. Lukasiewicz, and J. Dec, “Nanopolar structure in SrxBa1–xNb2O6 single crystals tuned by Sr/Ba ratio and investigated by piezoelectric force microscopy,” Phys. Rev. B 77, 054105 (2008). [CrossRef]
  28. V. Roppo, W. Wang, K. Kalinowski, Y. Kong, C. Cojocaru, J. Trull, R. Vilaseca, M. Scalora, W. Krolikowski, and Y. Kivshar, “The role of ferroelectric domain structure in second harmonic generation in random quadratic media,” Opt. Express 18, 4012–4022 (2010). [CrossRef] [PubMed]
  29. Y. Le Grand, D. Rouede, C. Odin, R. Aubry, and S. Mattauch, “Second-harmonic scattering by domains in RbH2PO4 ferroelectrics,” Opt. Commun. 200, 249–260 (2001). [CrossRef]
  30. A. Arie and N. Voloch, “Periodic, quasi-periodic, and random quadratic nonlinear photonic crystals,” Laser Photonics Rev. 4, 355–373 (2010). [CrossRef]
  31. S. Stivala, A. C. Busacca, A. Pasquazi, R. L. Oliveri, R. Morandotti, and G. Assanto, “Random quasi-phase-matched second-harmonic generation in periodically poled lithium tantalate,” Opt. Lett. 35, 363–365 (2010). [CrossRef] [PubMed]
  32. L. Tian, D. A. Scrymgeour, and V. Gopalan, “Real-time study of domain dynamics in ferroelectric Sr0.61Ba0.39Nb2O6,” J. Appl. Phys. 97, 114111 (2005). [CrossRef]
  33. Y. Sheng, J. Dou, B. Ma, B. Cheng, and D. Zhang, “Broadband efficient second harmonic generation in media with a short-range order,” Appl. Phys. Lett. 91, 011101 (2007). [CrossRef]
  34. K. Megumi, N. Nagatsuma, Y. Kashiwada, and Y. Furuhata, “The congruent melting composition of strontium barium niobate,” J. Mater. Sci. 11, 1583–1592 (1976). [CrossRef]

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