A fractional-order silicon hybrid plasmonic temporal integrator with considerably wide full-width at half- maximum (FWHM) bandwidth of ∼1 THz, higher than the previously reported photonic temporal integrators, and noticeably compact footprint of ∼5 μm × 3 μm is proposed. The presented plasmonic temporal integrator is implemented based on a double-ring add-drop resonator structure with ring radii of 1.5 μm. The 3-D finite-difference time-domain (3D-FDTD) simulation results show that the fractional-order of the integrator is 0.64 and it is capable of processing the ultrashort pulses with the duration of 450 fs. The integration time window is estimated as 520 fs, while the achieved energy efficiency is as high as −1.92 dB. The compact size and wide bandwidth of the proposed integrator makes it suitable for ultrafast optical signal processing applications. As an example, the functionality of the designed integrator for solving ordinary differential equations (ODEs) is investigated.

中文翻译：

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用于超快光信号处理的小型化宽带硅混合等离子体时间积分器的设计

提出了一种分数阶硅混合等离子体时间积分器，其半高全宽 (FWHM) 带宽相当宽，约为 1 THz，高于先前报道的光子时间积分器，并且体积明显紧凑，约为 5 μm × 3 μm . 所提出的等离子体时间积分器是基于环半径为 1.5 μm 的双环分插谐振器结构实现的。3D有限差分时域(3D-FDTD)仿真结果表明，积分器的分数阶为0.64，能够处理持续时间为450 fs的超短脉冲。积分时间窗口估计为 520 fs，而实现的能量效率高达 -1.92 dB。所提出的积分器的紧凑尺寸和宽带宽使其适用于超快光信号处理应用。例如，研究了设计的积分器用于求解常微分方程 (ODE) 的功能。