Journal
OPTICS LETTERS
Volume 35, Issue 1, Pages 55-57Publisher
OPTICAL SOC AMER
DOI: 10.1364/OL.35.000055
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Funding
- Australian Research Council [DP0877232]
- National Science Foundation (NSF) [ECCS-0801772]
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We analyze theoretically the nonlinear phenomenon of optical bistability inside a ring resonator formed with a silicon-waveguide nanowire and derive an exact parametric relation connecting the output intensity to the input intensity. Our input-output relation accounts for linear losses, the Kerr nonlinearity, two-photon absorption, free-carrier-induced absorption and dispersion, and thermo-optic effects within the resonator. Based on our study, we generalize the standard definition of effective length to allow for all possible losses within a silicon ring resonator. We also present a simplified version of the bistable phenomenon valid for resonators operating in a regime in which losses resulting from two-photon absorption are relatively small. Our analytical results provide clear insight into the physics behind optical bistability and may be useful for designing silicon-based optical memories. (C) 2009 Optical Society of America
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