OSA's Digital Library

Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 18, Iss. 5 — Mar. 1, 2010
  • pp: 4012–4022

The role of ferroelectric domain structure in second harmonic generation in random quadratic media

V. Roppo, W. Wang, K. Kalinowski, Y. Kong, C. Cojocaru, J. Trull, R. Vilaseca, M. Scalora, W. Krolikowski, and Yu. Kivshar  »View Author Affiliations

Optics Express, Vol. 18, Issue 5, pp. 4012-4022 (2010)

View Full Text Article

Enhanced HTML    Acrobat PDF (393 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



We study theoretically and numerically the second harmonic generation in a nonlinear crystal with random distribution of ferroelectric domains. We show that the specific features of disordered domain structure greatly affect the emission pattern of the generated harmonics. This phenomena can be used to characterize the degree of disorder in nonlinear photonic structures.

© 2010 Optical Society of America

OCIS Codes
(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: December 18, 2009
Revised Manuscript: January 29, 2010
Manuscript Accepted: February 9, 2010
Published: February 16, 2010

Vito Roppo, W. Wang, K. Kalinowski, Y. Kong, C. Cojocaru, J. Trull, R. Vilaseca, M. Scalora, W. Krolikowski, and Yu. Kivshar, "The role of ferroelectric domain structure in second harmonic generation in random quadratic media," Opt. Express 18, 4012-4022 (2010)

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. P. A. Franken, and J. F. Ward, "Optical harmonics and nonlinear phenomena," Rev. Mod. Phys. 3523-39 (1963). [CrossRef]
  3. M. M. Fejer, G. A. Magel, D. H. Jundt, R. L. Byer, "Quasi-phase-matched 2nd harmonic-generation - tuning and tolerances," IEEE J. Quantum Electron. 28, 2631-2654 (1992). [CrossRef]
  4. S. Zhu, Y. Y. Zhu, N. B. Ming, "Quasi-phase-matched third-harmonic generation in a quasi-periodic optical superlattice," Science 278, 843-846 (1997). [CrossRef]
  5. U. K. Sapaev, G. Assanto, "Efficient high-harmonic generation in engineered quasi-phase matching gratings," Opt. Express 16, 1-6 (2008). [CrossRef] [PubMed]
  6. K. Terabe, S. Takekawa, M. Nakamura, K. Kitamura, S. Higuchi, Y. Gotoh, 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]
  7. M. O. Ramirez. D. Jaque, L. Ivleva, and L. E. Bausa, "Evaluation of ytterbium doped strontium barium niobate as a potential tunable laser crystal in the visible," J. Appl. Phys. 95, 6185-6191 (2004). [CrossRef]
  8. 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]
  9. R. V. Gainutdinov, T. R. Volk, O. A. Lysova, I. I. Razgonov, A. L. Tolstikhina, L. I. Ivleva, "Recording of domains and regular domain patterns in strontium barium niobate crystals in the field of atomic force microscope," Appl. Phys. B 95, 505-512 (2009). [CrossRef]
  10. M. Baudrier-Raybaut, R. Haidar, Ph. Kupecek, Ph. Lemasson, and E. Rosencher, "Random quasi-phase-matching in bulk polycrystalline isotropic nonlinear materials," Nature (London) 432, 374-376 (2004). [CrossRef] [PubMed]
  11. M. Horowitz, A. Bekker, B. Fischer, "Broad-band 2nd-harmonic generation in SrxBa1−xNb2O6 by spreadspectrum phase-matching with controllable domain gratings," Appl. Phys. Lett. 62, 2619-2621 (1993). [CrossRef]
  12. S. Kawai, T. Ogawa, H. S. Lee, R. C. DeMattei and R. S. Feigelson, "Second-harmonic generation from needlelike ferroelectric domains in Sr0.6Ba0.4Nb2O6 single crystals," Appl. Phys. Lett. 73, 768-770 (1998). [CrossRef]
  13. J. J. Romero, D. Jaque, J. Garc’ıaSol’e, and A. A. Kaminskii, "Simultaneous generation of coherent light in the three fundamental colors by quasicylindrical ferroelectric domains in Sr0.6Ba0.4(NbO3)2," Appl. Phys. Lett 81, 4106-4108 (2002). [CrossRef]
  14. J. J. Romero, C. Arag’o, J. A. Gonzalo, D. Jaque, and J. Garc’ıa Sol’e, "Spectral and thermal properties of quasiphase- matching second-harmonic generation in Nd3+:Sr0.6Ba0.4(NbO3)2 multi-self-frequency-converter nonlinear crystals," J. Appl. Phys. 93, 3111-3113 (2003). [CrossRef]
  15. A. R. Tunyagi, M. Ulex, and K. Betzler, "Noncollinear optical frequency doubling in strontium barium niobate," Phys. Rev. Lett. 90, 243901 (2003). [CrossRef] [PubMed]
  16. R. Fischer, D. N. Neshev, S. M. Saltiel,W. Krolikowski, and Yu. S. Kivshar, "Broadband femtosecond frequency doubling in random media," Appl. Phys. Lett. 89, 191105 (2006). [CrossRef]
  17. P. Molina, M. O. Ramirez, and L. E. Bausa, "Strontium Barium Niobate as a Multifunctional Two-Dimensional Nonlinear Photonic Glass," Adv. Funct. Mater. 18, 709-715 (2008). [CrossRef]
  18. W. Wang, V. Roppo, K. Kalinowski, Y. Kong, D. N. Neshev, C. Cojocaru, J. Trull, R. Vilaseca, K. Staliunas, W. Krolikowski, S. M. Saltiel and Yu. Kivshar "Third-harmonic generation via broadband cascading in disordered quadratic nonlinear media," Opt. Express 17, 20117-20123 (2009). [CrossRef] [PubMed]
  19. R. Fischer, D. N. Neshev, S. M. Saltiel, A. A. Sukhorukov, W. Krolikowski, and Yu. S. Kivshar, "Monitoring ultrashort pulses by the transverse frequency doubling of counterpropagating pulses in random media," Appl. Phys. Lett. 91, 031104 (2007). [CrossRef]
  20. V. Roppo, D. Dumay, J. Trull, C. Cojocaru, S. M. Saltiel, K. Staliunas, R. Vilaseca, D. N. Neshev,W. Krolikowski, and Yu. S. Kivshar, "Planar second-harmonic generation with noncollinear pumps in disordered media," Opt. Express 16, 14192-14199 (2008). [CrossRef] [PubMed]
  21. S. M. Saltiel, D. N. Neshev, R. Fischer, W. Krolikowski, and Yu. S. Kivshar, "Spatiotemporal toroidal waves from the transverse second-harmonic generation," Opt. Lett. 33, 527-529 (2008). [CrossRef] [PubMed]
  22. J. Trull, C. Cojocaru, R. Fischer, S. M. Saltiel, K. Staliunas, R. Herrero, R. Vilaseca, D. N. Neshev, W. Krolikowski, and Yu. S. Kivshar, "Second-harmonic parametric scattering in ferroelectric crystals with disordered nonlinear domain structures," Opt. Express 15, 15868-15877 (2007). [CrossRef] [PubMed]
  23. J. J. Romero, D. Jaque J. Garca Sol, "Diffuse multiself-frequency conversion processes in the blue and green by quasicylindrical ferroelectric domains in Nd3 + :Sr0.6Ba0.4(NbO3)2 laser crystal," Appl. Phys. Lett. 78, 1961-1963 (2001). [CrossRef]
  24. Y. Le Grand, D. Rouede, C. Odiu, R. Aubry, and S. Mattauch, "Second-harmonic scattering by domains in RbH2PO4 ferroelectric," Opt. Commun. 200, 249-260 (2001). [CrossRef]
  25. A. L. Aleksandrovskii, O. A. Gliko, I. I. Naumova, V. I. Pryalkin, "Linear and nonlinear diffraction gratings in lithium niobate single crystals with a periodic domain structure," Quantum Electron. 26, 641-643 (1996). [CrossRef]
  26. Th. Woike, T. Granzow, U. Dorfler, Ch. Poetsch, M. Wohlecke and R. Pankrath, "Refractive Indices of Congruently Melting Sr0:61Ba0:39Nb2O6," Phys. Stat. Solidi A 186, R13-R15 (2001). [CrossRef]
  27. Y. Q. Qin, C. Zhang, Y. Y. Zhu,  et al. "Wave-front engineering by Huygens-Fresnel principle for nonlinear optical interactions in domain engineered structures," Phys. Rev. Lett. 100, 063902 (2008). [CrossRef] [PubMed]
  28. T. Ellenbogen, N. Voloch-Bloch, A. Ganany-Padowicz and A. Arie "Nonlinear generation and manipulation of Airy beams," Nat. Photonics 3, 395-398 (2009). [CrossRef]
  29. G. Dolino, "Effects of domain shapes on second harmonic scattering in Triglycine Sulfate," Phys. Rev. B 6, 4025-4035 (1972). [CrossRef]
  30. E. Yu. Morozov, A. A. Kaminskii, 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]
  31. E. Yu. Morozov, A. S. Chirkin, "Stochastic quasi-phase matching in nonlinear-optical crystals with an irregular domain structure," Sov. J. Quantum Electron. 34, 227-232 (2004). [CrossRef]
  32. I. V. Shutov, I. A. Ozheredov, A. V. Shumitski, A. S. Chirkin, "Second harmonic generation by femtosecond laser pulses in the Laue scheme," Opt. Spectroscopy 105, 79-84 (2008). [CrossRef]
  33. X. Vidal and J. Martorell, "Generation of Light in Media with a Random Distribution of Nonlinear Domains," Phys. Rev. Lett. 97, 013902 (2006). [CrossRef] [PubMed]
  34. M. Centini, V. Roppo, E. Fazio, F. Pettazzi, C. Sibilia, J. W. Haus, J. V. Foreman, N. Akozbek, M. J. Bloemer and M. Scalora, "Inhibition of linear absorption in opaque materials using phase-locked harmonic generation," Phys. Rev. Lett. 101, 113905 (2008). [CrossRef] [PubMed]
  35. M. Scalora and M. E. Crenshaw, "A beam propagation method that handles reflections," Opt. Commun. 108, 191-196 (1994). [CrossRef]
  36. E. Soergel, "Visualization of ferroelectric domains in bulk single crystals," Appl. Phys. B 81, 729-752 (2005). [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.

Supplementary Material

» Media 1: MOV (106 KB)     
» Media 2: MOV (93 KB)     
» Media 3: MOV (136 KB)     
» Media 4: MOV (178 KB)     

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited