Abstract: We analyze harmonic generation in a two-dimensional ({2D}) $\chi^{(2)}$ 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 {{LiNbO}$_3$} structures.

Keywords: multistep

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