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Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Vol. 15, Iss. 10 — Oct. 1, 1998
  • pp: 2581–2585

Angular dependence of phase-matched second-harmonic generation in a photonic crystal

J. Trull, Jordi Martorell, and R. Vilaseca  »View Author Affiliations


JOSA B, Vol. 15, Issue 10, pp. 2581-2585 (1998)
http://dx.doi.org/10.1364/JOSAB.15.002581


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Abstract

Experimental measurements of the second-harmonic-generation intensity in centrosymmetric photonic crystals indicate that the efficiency of this quadratic nonlinear process increases as the angle subtended by a reciprocal lattice vector and the second-harmonic field wave vector also increases. This behavior is explained by the use of a simple theoretical model based on second-harmonic generation from a lattice of nonlinear bilayers that confirms the surface character of this nonlinear process in this type of material.

© 1998 Optical Society of America

OCIS Codes
(190.0190) Nonlinear optics : Nonlinear optics
(190.2620) Nonlinear optics : Harmonic generation and mixing
(190.4350) Nonlinear optics : Nonlinear optics at surfaces

Citation
J. Trull, Jordi Martorell, and R. Vilaseca, "Angular dependence of phase-matched second-harmonic generation in a photonic crystal," J. Opt. Soc. Am. B 15, 2581-2585 (1998)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-15-10-2581


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References

  1. J. Martorell, R. Vilaseca, and R. Corbalán, “Scattering of second-harmonic light from small spherical particles ordered in a crystalline lattice,” Appl. Phys. Lett. 70, 702 (1997).
  2. J. Martorell, R. Vilaseca, and R. Corbalán, “Second harmonic generation in a photonic crystal,” Phys. Rev. A 55, 4520 (1997).
  3. R. W. J. Hollering and W. J. O. V. Tesselink, “Angular dependence of optical second-harmonic generation in molecular monolayers,” Opt. Commun. 79, 224 (1990).
  4. N. Bloembergen and A. J. Sievers, “Nonlinear optical properties of periodic laminar structures,” Appl. Phys. Lett. 17, 483 (1970).
  5. J. Martorell and R. Corbalán, “Enhancement of second harmonic generation in a periodic structure with a defect,” Opt. Commun. 108, 319 (1994).
  6. Y. R. Shen, The Principles of Nonlinear Optics (Wiley, New York, 1984), Chap. 25, p. 480.
  7. The coupling coefficient or the directly related Bragg bandwidth in the case of an fcc lattice of spherical particles was derived by R. J. Spry and D. J. Kosan, “Theoretical analysis of the crystalline colloidal array filter,” Appl. Spectrosc. 40, 782 (1986).
  8. T. F. Heinz, in Nonlinear Surface Electromagnetic Phenomena, H.-E. Ponath and G. I. Stegeman, eds. (North-Holland, Amsterdam, 1991), Chap. 5.

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