Wang Xiangnan, Zhao Xiaohui, Zheng Yuanlin, Chen Xianfeng
Appl Opt. 2017 Jan 20;56(3):750-754. doi: 10.1364/AO.56.000750.
We theoretically study second-harmonic generation in two-dimensional nonlinear photonic crystals and obtain a unified expression that combines nonlinear Raman-Nath diffraction, Čerenkov-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 Čerenkov, and nonlinear Bragg diffraction phase-matching conditions. This method has potential applications in second-harmonic generation of more complicated two-dimensional and even three-dimensional nonlinear photonic crystals.
我们从理论上研究了二维非线性光子晶体中的二次谐波产生，并得到了一个统一的表达式，该表达式结合了非线性拉曼-纳特衍射、切伦科夫型二次谐波产生和非线性布拉格衍射。推导了该解析解，理论结果与非线性拉曼-纳特、非线性切伦科夫和非线性布拉格衍射的相位匹配条件吻合良好。该方法在更复杂的二维甚至三维非线性光子晶体的二次谐波产生中具有潜在应用。
