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Design of high-order all-optical temporal differentiators based on multiple-phase-shifted fiber Bragg gratings
Author(s) -
Mykola Kulishov,
José Azaña
Publication year - 2007
Publication title -
optics express
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/oe.15.006152
Subject(s) - fiber bragg grating , differentiator , optics , waveform , phase (matter) , optical fiber , reflection (computer programming) , materials science , physics , bandwidth (computing) , computer science , telecommunications , radar , quantum mechanics , programming language
A simple and general approach for designing practical all-optical (all-fiber) arbitrary-order time differentiators is introduced here for the first time. Specifically, we demonstrate that the Nth time derivative of an input optical waveform can be obtained by reflection of this waveform in a single uniform fiber Bragg grating (FBG) incorporating N &pi-phase shifts properly located along its grating profile. The general design procedure of an arbitrary-order optical time differentiator based on a multiple-phase-shifted FBG is described and numerically demonstrated for up to fourth-order time differentiation. Our simulations show that the proposed approach can provide optical operation bandwidths in the tens-of-GHz regime using readily feasible FBG structures.

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