Wu Jiayang, Cao Pan, Hu Xiaofeng, Jiang Xinhong, Pan Ting, Yang Yuxing, Qiu Ciyuan, Tremblay Christine, Su Yikai
Opt Express. 2014 Oct 20;22(21):26254-64. doi: 10.1364/OE.22.026254.
We propose and experimentally demonstrate an all-optical temporal differential-equation solver that can be used to solve ordinary differential equations (ODEs) characterizing general linear time-invariant (LTI) systems. The photonic device implemented by an add-drop microring resonator (MRR) with two tunable interferometric couplers is monolithically integrated on a silicon-on-insulator (SOI) wafer with a compact footprint of ~60 μm × 120 μm. By thermally tuning the phase shifts along the bus arms of the two interferometric couplers, the proposed device is capable of solving first-order ODEs with two variable coefficients. The operation principle is theoretically analyzed, and system testing of solving ODE with tunable coefficients is carried out for 10-Gb/s optical Gaussian-like pulses. The experimental results verify the effectiveness of the fabricated device as a tunable photonic ODE solver.
我们提出并通过实验证明了一种全光时域微分方程求解器，它可用于求解表征一般线性时不变（LTI）系统的常微分方程（ODE）。由带有两个可调谐干涉耦合器的分插微环谐振器（MRR）实现的光子器件单片集成在绝缘体上硅（SOI）晶圆上，占地面积紧凑，约为60μm×120μm。通过热调谐两个干涉耦合器总线臂上的相移，所提出的器件能够求解具有两个可变系数的一阶ODE。从理论上分析了其工作原理，并针对10 Gb/s光学类高斯脉冲进行了具有可调系数的ODE求解系统测试。实验结果验证了所制造器件作为可调谐光子ODE求解器的有效性。
