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We report on nonlinear frequency conversion from the telecom range via secondharmonic generation (SHG) and third harmonic generation (THG) in suspendedgallium nitride slab photonic crystal (PhC) cavities on silicon, undercontinuous-wave resonant excitation. Optimized two-dimensional PhC cavitieswith augmented far-field coupling have been characterized with quality factorsas high as 4.4$\times10^{4}$, approaching the computed theoretical values. Thestrong enhancement in light confinement has enabled efficient SHG, achievingnormalized conversion efficiency of 2.4$\times10^{-3}$ $W^{-1}$, as well assimultaneous THG. SHG emission power of up to 0.74 nW has been detected withoutsaturation. The results herein validate the suitability of gallium nitride forintegrated nonlinear optical processing.

Efficient continuous-wave nonlinear frequency conversion in high-Q Gallium Nitride photonic crystal cavities on Silicon