Slab waveguides with a two-dimensional periodic distribution of the refractive index are proposed and investigated as optical microcavities for efficient parametric oscillations through four-wave mixing in isotropic materials. We carry out a case study based on the complete solution of three-dimensional Maxwell equations, including material dispersion and cubic nonlinear response.
Conti, C., Di Falco, A., Assanto, G. (2004). Parametric oscillations in photonic crystal slabs 3-D time-domain analysis. IEEE PHOTONICS TECHNOLOGY LETTERS, 16(6), 1495-1497 [10.1109/LPT.2004.826771].