Fourier modal method for the analysis of second-harmonic generation in two-dimensionally periodic structures containing anisotropic materials

The rigorous Fourier modal method for crossed anisotropic gratings is extended to the analysis of second-harmonic generation in two-dimensionally periodic structures. The method takes the undepleted-pump approximation that uncouples the calculations of the fundamental and the second-harmonic fields. The effectiveness of the method is verified by solving a one-dimensional problem, which has been analyzed by two previously developed methods, and by comparing the simulation results of the L-shaped gold nanoparticle arrays with the previous experimental measurements.

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