“…The possible applications encompass optical computing, optical information processing, ultrafast signal generation, optical pulse shaping, dark soliton detection, and Hermite-Gaussian waveforms generation. Recently, the fractional-order differentiator has been implemented with different methods, such as tilted FBG, 15 asymmetrical phase-shifted FBG, 16 silicon-on-isolator (SOI) microring resonator (MMR) with a multimode interferometer coupler, 17 electrically tuned SOI Mach-Zehnder interferometer, 18 and a silicon MMR based on inverse Raman scattering. Numerous techniques have been proposed to implement integer-order differentiators, including the use of a phase-shifted fiber Bragg grating (FBG), 5-7 silicon microring resonators, [8][9][10] integrated sidewall phase-shifted Bragg grating, 11,12 or a modulation in a semiconductor optical amplifier (SOA).…”