Modeling the optical Kerr effect in periodic structures by the linear Fourier modal method

摘要

We present a numerically feasible method for rigorous modeling of crossed diffraction gratings made of isotropic materials with third-order nonlinearity. The approach is based on an iterative solution of the crossed-grating problem with linear but anisotropic materials. We also discuss how the symmetries of the effective linear permittivity tensor can be exploited to speed up the computation when one considers normal incidence of light. Several numerical experiments are performed to demonstrate the accuracy as well as the versatility of this numerical technique.