为了克服电子计算的速率瓶颈,采用全光计算可以有效释放光子的巨大带宽资源,同时全光计算在全光通信网络中有着举足轻重的作用,集成光波导器件以其尺寸小、质量轻、功率代价小等优势已经成为最受关注的光子计算芯片资源之一。光子微积分运算是指在光域中直接对输入信号进行微积分数学运算。本文回顾了几种常见的硅基光波导器件用于光子微积分运算的实现方案,包括高阶光子微分运算、分数阶微分运算、高阶常系数微分方程求解、可重构的一阶常系数微分方程求解,分别采用的硅基集成光子器件包括级联马赫增德尔干涉仪、掺杂型马赫增德尔干涉仪、级联微环谐振器和掺杂型微环谐振器。本文指出利用集成光波导器件来实现光子微积分器势必会成为光子微积分运算的重要发展方向。
Photonic computing can offer huge bandwidth to overcome the electronic bottleneck of electronic circuits,and it also plays important roles in all optical networks.Integrated photonic waveguide is becoming one of the most promising resources to implement photonic computing due to the compact size,light weight,and low power consumption.Photonic differentiator and integrator based on integrated photonic waveguide attract more and more attentions in recent years.In this paper,we review several schemes of ultrafast photonic differentiator and differential equation solver employing integrated silicon cascaded or doped microring and MechZehnder interferometer to realize high-order photonic differentiator,tunable fractional-order differentiator,high-order all-optical differential equation solver and all-optical constant-coefficient tunable differential equation solver.And they are one of the most important development directions of the optical differential and integral.