We modeled nonlinear behavior in a silica toroid microcavity using coupling mode theory and the finite element method, and obtained Kerr bistability that did not suffer from the thermo-optic effect by optimizing the fiber-cavity coupling.
We quantitatively analyze the performance of optical memories based on Kerr bistability in microcavites. We model a silicon nitride microring and a silica toroid microcavity, and examine the performances of these cavities in an actual situation where there is a thermo-optic effect. Numerical simulations based on coupled mode theory and the thermal diffusion equation reveal that an input power of 1.8 W is necessary to achieve a Kerr bistable memory in a silicon nitride microring, while that of only 1.7 mW is necessary in a silica toroid microcavity. This result shows that the use of silica toroid microcavity is advantageous when we want to demonstrate a Kerr bistable memory operation with a reasonably low input power. In addition, we quantitatively investigate the trade-off between the required input power and the response speed of the device.
The shift of optical cavity modes oscillates due to the time-varying refractive index under Kerr nonlinearity. To reveal its impact on bistability, we present a time-average approach that includes this dynamic shift characteristic in the expression of nonlinear transmission. It predicts the monotonous decrease of the maximum transmission with the increase of the frequency detuning. Also, the frequency detuning to start bistability should be corrected as about 2. Our analyses are supported by the simulations based on the finite-difference time-domain technique.
Optical bistable responses in AlGaAs-based photonic crystal cavities with Al fractions of 0.16 and 0.27 under a stationary condition are studied. An analysis of the experimental results with a one-dimensional etalon model indicates that the bistable response is primarily driven by optical nonlinearities that stem from a heat generation in two-photon absorption and in free-carrier absorption. A free-carrier plasma effect is not influential, which is a major difference from the case of Si photonic crystal cavities. The accumulation of heat enables the phase or index to significantly change. An estimate indicates that a highQ-factor is advantageous for driving bistability exclusively by the Kerr effect.