Theoretical study on second-harmonic generation in two-dimensional nonlinear photonic crystals

摘要

We theoretically study second-harmonic generation in two-dimensional nonlinear photonic crystals and obtain a unified expression that combines nonlinear Raman-Nath diffraction,. Cerenkov-type second-harmonic generation, and nonlinear Bragg diffraction. The analytical solution is deduced, and the theoretical result coincides well with the nonlinear Raman-Nath, nonlinear. Cerenkov, and nonlinear Bragg diffraction phase-matching conditions. This method has potential applications in second-harmonic generation of more complicated twodimensional and even three-dimensional nonlinear photonic crystals. (C) 2017 Optical Society of America