Open AccessModal theory of slow light enhanced third-order nonlinear effects in photonic crystal waveguides
Author(s) -
Tao Chen,
Junqiang Sun,
Linsen Li
Publication year - 2012
Publication title -
optics express
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/oe.20.020043
Subject(s) - four wave mixing , optics , photonic crystal , dispersion (optics) , slow light , nonlinear optics , cross phase modulation , nonlinear system , wavelength , modulation (music) , physics , coupled mode theory , photonics , waveguide , self phase modulation , nonlinear photonic crystal , photonic crystal fiber , phase modulation , refractive index , phase noise , quantum mechanics , laser , acoustics
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.