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Second harmonic conversion from 1550~nm to 775~nm with an efficiency of 400%W$^{-1}$ is demonstrated in a gallium phosphide (GaP) on oxide integratedphotonic platform. The platform consists of doubly-resonant, phase-matched ringresonators with quality factors $Q \sim 10^4$, low mode volumes $V \sim 30(\lambda/n)^3$, and high nonlinear mode overlaps. Measurements and simulationsindicate that conversion efficiencies can be increased by a factor of 20 byimproving the waveguide-cavity coupling to achieve critical coupling in currentdevices.

400%/W second harmonic conversion efficiency in $\mathrm{14 \mu m}$-diameter gallium phosphide-on-oxide resonators