Modal theory of slow light enhanced third-order nonlinear effects in photonic crystal waveguides.
Modal theory of slow light enhanced third-order nonlinear effects in photonic crystal waveguides.
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DOI：
10.1364/oe.20.020043
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发表时间：
2012-08
期刊：
影响因子：
3.8
通讯作者：
Tao Chen;Junqiang Sun;Linsen Li
中科院分区：
文献类型：
--
作者：
Tao Chen;Junqiang Sun;Linsen Li
本文利用模式理论推导了光子晶体波导中三阶非线性效应的耦合模方程。这些非线性相互作用包括自相位调制、交叉相位调制和简并四波混频。与非线性光纤光学中的方程类似的方程可以推广应用于其他周期波导中的三阶非线性过程。在此基础上，系统地分析了慢光工程硅光子晶体波导的群速度色散、光传输损耗、有效相互作用面积、慢光增强因子和相位失配。在考虑双光子和自由载流子耦合效应的情况下，利用有限差分法对两个低色散区的波长转换效率进行了数值模拟。最后，我们研究了慢光增强多重四波混频过程对转换效率的影响。
In this paper, we derive the couple-mode equations for third-order nonlinear effects in photonic crystal waveguides by employing the modal theory. These nonlinear interactions include self-phase modulation, cross-phase modulation and degenerate four-wave mixing. The equations similar to that in nonlinear fiber optics could be expanded and applied for third-order nonlinear processes in other periodic waveguides. Based on the equations, we systematically analyze the group-velocity dispersion, optical propagation loss, effective interaction area, slow light enhanced factor and phase mismatch for a slow light engineered silicon photonic crystal waveguide. Considering the two-photon and free-carrier absorptions, the wavelength conversion efficiencies in two low-dispersion regions are numerically simulated by utilizing finite difference method. Finally, we investigate the influence of slow light enhanced multiple four-wave-mixing process on the conversion efficiency.