Pulsed dynamics are rigorously studied in coupled silicon photonic crystal cavity-waveguide nanostructures by developing a computational model based on coupled-mode theory, which describes cavity-waveguide coupling effects, key nonlinear interactions, such as the Kerr effect, two-photon-absorption, free-carrier (FC) dispersion and FC absorption, as well as waveguide dispersion effects. Propagation of optical pulses in a photonic system consisting of two photonic crystal cavities coupled to a photonic crystal waveguide operating in the slow-light regime is analyzed. Moreover, the influence of different parameters on pulse dynamics is investigated, including the separation between cavities, the distance between the cavities and the waveguide, and the input pulse width.
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