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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 17, Iss. 15 — Jul. 20, 2009
  • pp: 12210–12216

Light generation at the anomalous dispersion high energy range of a nonlinear opal film

Muriel Botey, Marc Maymó, Alberto Molinos-Gómez, Luis Dorado, Ricardo A. Depine, Gabriel Lozano, Agustín Mihi, Hernán Míguez, and Jordi Martorell  »View Author Affiliations

Optics Express, Vol. 17, Issue 15, pp. 12210-12216 (2009)

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We study experimentally and theoretically light propagation and generation at the high energy range of a close-packed fcc photonic crystal of polystyrene spheres coated with a nonlinear material. We observe an enhancement of the second harmonic generation of light that may be explained on the basis of amplification effects arising from propagation at anomalous group velocities. Theoretical calculations are performed to support this assumption. The vector KKR method we use allows us to determine, from the linear response of the crystal, the behavior of the group velocity in our finite photonic structures when losses introduced by absorption or scattering by defects are taken into account assuming a nonzero imaginary part for the dielectric constant. In such structures, we predict large variations of the group velocity for wavelengths on the order or smaller than the lattice constant of the structure, where an anomalous group velocity behavior is associated with the flat bands of the photonic band structure. We find that a direct relation may be established between the group velocity reduction and the enhancement of a light generation processes such as the second harmonic generation we consider. However, frequencies for which the enhancement is found, in the finite photonic crystals we use, do not necessarily coincide with the frequencies of flat high energy bands.

© 2009 OSA

OCIS Codes
(190.0190) Nonlinear optics : Nonlinear optics
(190.4400) Nonlinear optics : Nonlinear optics, materials
(160.5293) Materials : Photonic bandgap materials
(050.5298) Diffraction and gratings : Photonic crystals

ToC Category:
Nonlinear Optics

Original Manuscript: March 30, 2009
Revised Manuscript: May 29, 2009
Manuscript Accepted: June 9, 2009
Published: July 6, 2009

Muriel Botey, Marc Maymó, Alberto Molinos-Gómez, Luis Dorado, Ricardo A. Depine, Gabriel Lozano, Agustín Mihi, Hernán Míguez, and Jordi Martorell, "Light generation at the anomalous dispersion high energy range of a nonlinear opal film," Opt. Express 17, 12210-12216 (2009)

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  1. K. Sakoda, “Optical properties of photonic crystals,” Springer-Verlag, Berlin (2005).
  2. M. Scharrer, A. Yamilov, X. Wu, H. Cao, and R. P. H. Chang, “Ultraviolet lasing in high-order bands of three-dimensional ZnO photonic crystals,” Appl. Phys. Lett. 88(20), 201103 (2006). [CrossRef]
  3. H. Noh, M. Scharrer, M. A. Anderson, R. P. H. Chang, and H. Cao, “Photoluminescence modification by a high-order photonic band with abnormal dispersion in ZnO inverse opal,” Phys. Rev. B 77(11), 115136 (2008). [CrossRef]
  4. J. F. Galisteo-López and C. López, “High-energy optical response of artificial opals,” Phys. Rev. B 70(3), 035108 (2004). [CrossRef]
  5. H. Míguez, V. Kitaev, and G. A. Ozin, “Band spectroscopy of colloidal photonic crystal films,” Appl. Phys. Lett. 84(8), 1239 (2004). [CrossRef]
  6. J. F. Galisteo-López, M. Galli, A. Balestreri, M. Patrini, L. C. Andreani, and C. López, “Slow to superluminal light waves in thin 3D photonic crystals,” Opt. Express 15(23), 15342–15350 (2007). [CrossRef] [PubMed]
  7. N. Stefanou, V. Karathanos, and A. Modinos, “Scattering of electromagnetic waves by periodic structures,” J. Phys. Condens. Matter 4(36), 7389–7400 (1992). [CrossRef]
  8. N. Stefanou, V. Yannopapas, and A. Modinos, “Heterostructures of photonic crystals: Frequency bands and transmission coefficients,” Comput. Phys. Commun. 113(1), 49–77 (1998). [CrossRef]
  9. K. Ohtaka, “Scattering theory of low-energy photon diffraction,” J. Phys. C: Solid State 13(4), 667–680 (1980). [CrossRef]
  10. A. Modinos, “Scattering of electromagnetic waves by a plane of spheres-formalism,” Physica A 141(2-3), 575–588 (1987). [CrossRef]
  11. L. A. Dorado, R. A. Depine, and H. Míguez, “Effect of extinction on the high-energy optical response of photonic crystals,” Phys. Rev. B 75(24), 241101 (2007). [CrossRef]
  12. L. A. Dorado, R. A. Depine, G. Lozano, and H. Míguez, “Physical origin of the high energy optical response of three dimensional photonic crystals,” Opt. Express 15(26), 17754–17760 (2007). [CrossRef] [PubMed]
  13. Y. A. Vlasov, M. O’Boyle, H. F. Hamann, and S. J. McNab, “Active control of slow light on a chip with photonic crystal waveguides,” Nature 438(7064), 65–69 (2005). [CrossRef] [PubMed]
  14. M. D. Settle, R. J. P. Engelen, M. Salib, A. Michaeli, L. Kuipers, and T. F. Krauss, “Flatband slow light in photonic crystals featuring spatial pulse compression and terahertz bandwidth,” Opt. Express 15(1), 219–226 (2007). [CrossRef] [PubMed]
  15. A. Mihi, M. Ocaña, and H. Míguez, “Oriented Colloidal-Crystal Thin Films by Spin-Coating Microspheres Dispersed in Volatile Media,” Adv. Mater. 18(17), 2244–2249 (2006). [CrossRef]
  16. B. H. Juárez, P. D. García, D. Golmayo, A. Blanco, and C. López, “ZnO Inverse Opals by Chemical Vapor Dposition,” Adv. Mater. 17(22), 2761–2765 (2005). [CrossRef]
  17. A. Molinos-Gómez, M. Maymó, X. Vidal, D. Velasco, J. Martorell, and F. López-Calahorra, “Synthesis of Colloidal Photonic Crystals with High Nonlinear Optical Performance: Towards Efficient Second-Harmonic Generation with Centrosymmetric Structures,” Adv. Mater. 19(22), 3814–3818 (2007). [CrossRef]
  18. M. Maymó, J. Martorell, A. Molinos-Gómez, and F. López-Calahorra, “Visible second-harmonic light generated from a self-organized centrosymmetric lattice of nanospheres,” Opt. Express 14(7), 2864–2872 (2006). [CrossRef] [PubMed]
  19. J. Martorell, R. Vilaseca, and R. Corbalán, “Second-harmonic generation in a photonic crystal,” Appl. Phys. Lett. 70(6), 702–704 (1997). [CrossRef]
  20. In preparation.
  21. M. Botey, J. Martorell, J. Trull, and R. Vilaseca, “Suppression of radiation in a momentum-nonconserving nonlinear interaction,” Opt. Lett. 25(16), 1177–1179 (2000). [CrossRef]
  22. A. A. Fedyanin, O. Aktsipetrov, D. A. Kurdyukov, V. G. Golubev, and M. Inoue, “Nonlinear diffraction and second-harmonic generation enhancement in silicon-opal photonic crystals,” Appl. Phys. Lett. 87(15), 151111 (2005). [CrossRef]

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