  We propose a mean-field model to describe second harmonic generation in a
resonator made of a material with zincblende crystalline structure. The model
is obtained through an averaging of the propagation equations and boundary
conditions. It considers the phase-mismatched terms, which act as an effective
Kerr effect. We analyze the impact of the different terms on the steady state
solutions, highlighting the competition between nonlinearities.

Optics