title: On the interrelations between an optical differentiator and an optical Hilbert transformer.
abstract: We show analytically and numerically that a practically realizable first-order optical Hilbert transformer (OHT) can simultaneously function as a negative/positive first-order temporal optical differentiator (OD) in the stopband and a broadband ±90° phase shifter in the passbands. An integrated-optic OHT based on a four-tap finite impulse response filter is designed using the Remez iteration algorithm and is numerically verified.
authors.affiliation: Photonics Research Centre, School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore, Singapore. eqnngo@ntu.edu.sg
authors.forename: Nam Quoc
authors.initials: NQ
authors.lastname: Ngo
authors.forename: Yufeng
authors.initials: Y
authors.lastname: Song