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Optics Express

Optics Express

  • Editor: Michael Duncan
  • Vol. 12, Iss. 6 — Mar. 22, 2004
  • pp: 1097–1108

Equifrequency surfaces in a two-dimensional GaN-based photonic crystal

D. Coquillat, J. Torres, D. Peyrade, R. Legros, J.P. Lascaray, M. Le Vassor d’Yerville, E. Centeno, D. Cassagne, J.P. Albert, Y. Chen, and R.M. De La Rue  »View Author Affiliations


Optics Express, Vol. 12, Issue 6, pp. 1097-1108 (2004)
http://dx.doi.org/10.1364/OPEX.12.001097


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Abstract

We established the angular conditions that maintain the quasi-phase matching conditions for enhanced second-harmonic generation. To do that, we investigated the equifrequency surfaces of the resonant Bloch modes of a two-dimensional periodic, hole-array photonic crystal etched into a GaN/sapphire epitaxial structure. The equifrequency surfaces exhibit remarkable shapes, in contrast to the simpler surfaces of a one-dimensional structure. The observed anisotropy agrees well with the surfaces calculated by a scattering matrix method. The equifrequency surfaces at fundamental and second-harmonic frequencies provide the values of polar and azimuthal angles that maintain quasi-phase matching conditions for enhanced second-harmonic generation over an extended tuning range. The predicted values for quasi phase-matching conditions show that frequency tuning for the two-dimensional case covers an about two times larger fractional bandwidth relative to the one-dimensional case.

© 2004 Optical Society of America

OCIS Codes
(130.5990) Integrated optics : Semiconductors
(160.4330) Materials : Nonlinear optical materials
(190.2620) Nonlinear optics : Harmonic generation and mixing

ToC Category:
Research Papers

History
Original Manuscript: February 6, 2004
Revised Manuscript: March 9, 2004
Published: March 22, 2004

Citation
D. Coquillat, J. Torres, D. Peyrade, R. Legros, J. Lascaray, M. Le Vassor d'Yerville, E. Centeno, D. Cassagne, J. Albert, Y. Chen, and R. De La Rue, "Equifrequency surfaces in a two-dimensional GaN-based photonic crystal," Opt. Express 12, 1097-1108 (2004)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-12-6-1097


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