Open AccessEquifrequency surfaces in a two-dimensional GaN-based photonic crystal
Author(s) -
Dominique Coquillat,
J. Torres,
D. Peyrade,
R. Legros,
J. P. Lascaray,
M. Le Vassor d’Yerville,
Emmanuel Centeno,
D. Cassagne,
J. P. Albert,
Y. Chen,
R.M. De La Rue
Publication year - 2004
Publication title -
optics express
Language(s) - Uncategorized
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/opex.12.001097
Subject(s) - optics , sapphire , second harmonic generation , photonic crystal , scattering , anisotropy , materials science , azimuth , phase (matter) , quasi phase matching , physics , optoelectronics , laser , quantum mechanics
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.