Multiply resonant silicon photonic devices based on three coupled nanobeam cavities are proposed engineer third order nonlinearities at wavelengths around λ=1.55μm. We show that varying the geometrical parameters allows a flexible tuning of linear properties of the system, especially the deviations between the cavity resonance wavelengths. Based on the linear regime results, the nonlinear properties of the system are studied using coupled mode expressions of the supermodes given by the Tight-Binding method for the calculation of the nonlinear integrals controlling the intensity of the third-order nonlinear effects of the photonic molecules. We geometrically control the self-phase modulation (SPM), the cross-phase modulation (XPM), and the degenerate four-wave mixing (DFWM) nonlinear coefficients of the three coupled nanobeam cavities and identify general trends for nonlinear applications such as optical switching and frequency conversion devices.
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