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/μm². 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 μm², respectively.

在这项研究中，我们设计并模拟了一个光子晶体（PhC）非线性AND逻辑门。首先，设计并仿真了合适的光子晶体环形谐振器（PhCRR）结构，该结构可用于在应用非线性Kerr效应后获得开关功率强度。在这种结构中，GaAs介电棒已被用于空气中。利用平面波扩展法（PWE）获得了所提出结构的导模，并采用了二维时域有限差分法（2D-FDTD）对结构进行了仿真。根据从数值计算获得的结果，对于结构的最小开关功率强度等于800 W /微米²。利用设计的PhCRR和所获得的开关功率强度，设计并仿真了基于克尔效应的最优紧凑型光子晶体与逻辑门，并表现出良好的性能。的最小对比度，响应时间，和该结构的总面积是11.04分贝，1.8皮秒和194.56微米²分别。