Modal theory of slow light enhanced third-order nonlinear effects in photonic crystal waveguides

被引：19
作者：
Chen, Tao [1 ,2 ]
Sun, Junqiang [1 ]
Li, Linsen [1 ]
机构：
[1] Huazhong Univ Sci & Technol, Sch Optoelect Sci & Engn, Wuhan Natl Lab Optoelect, Wuhan 430074, Hubei, Peoples R China
[2] Hubei Normal Univ, Sch Phys & Elect Sci, Huangshi 435002, Hubei, Peoples R China
来源：
OPTICS EXPRESS | 2012年 / 20卷 / 18期
关键词：
3RD-HARMONIC GENERATION; SILICON; DISPERSION;
D O I：
10.1364/OE.20.020043
中图分类号：
O43 [光学];
学科分类号：
070207 ; 0803 ;
摘要：
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. (C) 2012 Optical Society of America
引用
收藏
页码：20043 / 20058
页数：16
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