In this paper, we report a new design of an all-optical full-adder using two nonlinear resonators. The PhC-based full-adder consists of three input ports (A, B, and C for input bits), two nonlinear resonant cavities, several waveguides, and two output ports (for the SUM and CARRY). Eight silicon rods and a nonlinear rod composed of doped glass form each resonant cavity. The well-known plane wave expansion technique is used to calculate the photonic band structure. It shows a wide photonic bandgap in the wavelength range of 1365–2074 nm covering the C and L optical transmission bands. The finite-difference time-domain method is applied to study the light propagation inside the full-adder. Our numerical results demonstrate when the incoming light intensity increases, the nonlinear optical Kerr effect appears and controls the direction of light emitted inside the structure as desired. The maximum time delay and footprint of the proposed full-adder are about 3 ps and 758.5 μm², respectively. Therefore, due to the low time delay and small footprint, the presented design can be used as a basic mathematical operator in the all-optical arithmetic logic unit.

在本文中，我们报告了使用两个非线性谐振器的全光全加器的新设计。基于PhC的全加法器由三个输入端口（用于输入位的A，B和C），两个非线性谐振腔，几个波导和两个输出端口（用于SUM和CARRY）组成。八个硅棒和一个由掺杂玻璃组成的非线性棒形成每个谐振腔。众所周知的平面波扩展技术用于计算光子能带结构。它显示了在1365–2074 nm波长范围内的宽光子带隙，覆盖了C和L光传输带。应用时域有限差分法研究全加法器内部的光传播。我们的数值结果表明，当入射光强度增加时，出现非线性光学克尔效应，并根据需要控制结构内部发出的光的方向。建议的全加器的最大时间延迟和占位面积约为3 ps和758.5μm²，分别。因此，由于低时延和小占位面积，所提出的设计可以用作全光学算术逻辑单元中的基本数学运算符。