Abstract

We analyze harmonic generation in a two-dimensional (2D) ${\chi }^{\left(2\right)}$ photonic crystal and demonstrate the possibility of multiple phase matching and multicolor parametric frequency conversion. We suggest a new type of photonic structure to achieve simultaneous generation of several harmonics; we also present both general analytical results and design parameters for 2D periodically poled ${\mathrm{LiNbO}}_3$ structures.

© 2000 Optical Society of America

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