期刊
OPTICS EXPRESS
卷 20, 期 18, 页码 20043-20058出版社
OPTICAL SOC AMER
DOI: 10.1364/OE.20.020043
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资金
- National Natural Science Foundations of China [60977044, 11105049]
- Natural Science Foundation of Hubei Province [2011CDC010]
- Foundation for Youths of Hubei normal university [2010C22]
- Hubei Province Science Foundation for Youths [Q20112501]
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
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