All-fiber temporal photonic fractional Hilbert transformer based on a directly designed fiber Bragg grating

Abstract

An all-fiber temporal photonic fractional Hilbert transform (FHT) based on a fiber Bragg grating (FBG) is proposed and investigated, for the first time to our knowledge. The photonic FHT is designed based on the discrete layer peeling method, which enables the FBG to have a strong strength. Numerical results show that the FBG can be used to efficiently and accurately implement broadband all-optical FHT for an arbitrary optical waveform with a bandwidth up to hundreds of gigahertz.