A novel design of all-optical high speed and ultra-compact photonic crystal AND logic gate based on the Kerr effect

In this study, we have designed and simulated a photonic crystal (PhC) nonlinear AND logic gate. First, a suitable photonic crystal ring resonator (PhCRR) structure is designed and simulated that can be used for obtaining the switching power intensity after applying the nonlinear Kerr effect. In this structure, GaAs dielectric rods have been used in the air. The plane wave expansion (PWE) method is used to obtain the guided modes in the proposed structure and the two-dimensional finite-difference time-domain (2D-FDTD) method is also employed to simulate the structure. According to the results obtained from the numerical calculations, the minimum switching power intensity for the structure is equal to 800 W/mu m(2). Using the designed PhCRR and the obtained switching power intensity, an optimal compact photonic crystal AND logic gate based on the Kerr effect is designed and simulated which exhibits a good performance. The minimum contrast ratio, the response time, and the total area of the structure are 11.04 dB, 1.8 ps, and 194.56 mu m(2), respectively.