We propose a mean-field model to describe second-harmonic generation in a resonator made of a material with zinc-blende 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.
C. Mas Arabí, P. Parra-Rivas, C. Ciret, S. P. Gorza, and F. Leo, Phys. Rev. A 101, 043818 (2020). DOI