We derive an equation that describes the nonlinear operation of a Fabry–Perot resonator with a large group index waveguide. Specifically, a silicon photonic crystal microcavity with two-photon-excited free carrier nonlinearity and Kerr nonlinearity is assumed. The equation clearly explains the bistability of the device and the reduction of the required pump energy for a specific nonlinear phase shift at an appropriate phase detuning from the resonance. We present a simple procedure to predict the required optical pump energy for the modulation and the resulting modulation depth by use of the equation and the device parameters.
© 2006 Optical Society of America
Original Manuscript: July 13, 2006
Revised Manuscript: September 8, 2006
Manuscript Accepted: September 8, 2006
Published: November 9, 2006
Kazuhiro Ikeda and Yeshaiahu Fainman, "Nonlinear Fabry-Perot resonator with a silicon photonic crystal waveguide," Opt. Lett. 31, 3486-3488 (2006)