Nonlinear photonic crystal with two-dimensional dodecagonal superlattice

The LiNbO 3 nonlinear photonic crystal with two-dimensional dodecagonal superlattice was proposed for the first time. The distribution of reciprocal vectors in this quasiperiodic structure was analyzed in detail. By quasi-phase matching technique, red, green, blue and yellow harmonic beams were obtained simultaneously in one quasiperiodically poled crystal. And the similar results can be accomplished by rotating around z axis by integrals of 30°.