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Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE

All-optical set-reset flip-flop by nonlinear coupling of microring resonators

Amin Ghadi, Saeed Mirzanezhad, Farshad Sohbatzadeh

Published Apr 30, 2010• 1 citation
Publisher

Abstract

Here had been analyzed the coupling of microring resonators in the presence of Kerr effect. The effects of nonlinear coupling on optical bistability of microring resonators are investigated too. This result provides a technique to designing an "all-optical flip-flop circuit".
DOI
10.1117/12.845976

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In this work, we study the bistability of an active nonlinear microring resonator and design a flip-flop based on the active microring resonator. In the presence of nonlinear and linear loss, we use Er-doped gain medium in the microring to obtain gain to compensate for the loss of the resonator. Both analytical and numerical methods are used to solve the propagation in the microring with double couplers, and we obtain the hysteresis loops of the microring. The results obtained by the two methods reveal that, in the presence of nonlinearity in microring resonators, the system exhibits bistability, and the gain in the microring leads to a decrease of the bias power when the active microring is taken as a bistable switcher. Basing on the bistability of the microring, we realize a set-reset flip-flop by adding a positive or negative feedback onto the bias. We also find that the duration of the set and reset pulses must exceed the field buildup time of the microring if we want to achieve the switching of the bias signal. In our design, the duration time is about 2 ps.
The microring resonators have potential applications for the photonic integrated circuits. The dynamical phenomena of the two coupled microrings require a simple and efficient numerical formalism for solution of the system. We employ an analytical formula to calculate the optical tristability inside the two coupled microrings that takes into account Kerr nonlinearity and the effect of loss. We also compare the analytical results with the results from 3D finite-difference time-domain simulation. In addition, we show it is possible to obtain configurations which can tune the tristable region. This could be useful for designing optical logic applications.
We describe the optical bistability phenomenon in a silicon-on-insulator microring resonators device by using an analytical theory, which includes both linear and nonlinear effects such as two-photon absorption, Kerr effect, free carrier and thermo-optic effect (TOE). We show that the bistable switching threshold and the hysteresis loop width can be tuned by geometrical parameters of the device and by the nonlinear parameters. The accuracy of the analytical approach is verified by comparing the spectrum responds with the predicting data from a commercial finite-difference time-domain software tool, and a very close agreement is found between the two when TOE is incorporated in analytical theory. In addition, our analysis reveals that a new type of hysteresis loop occurs at low input intensity. The mode suppression of the designed device by Vernier effect for tunable filter applications is also briefly discussed.