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Opt Lett. 2009 Feb 1;34(3):334-6.

All-optical Hilbert transformer based on a single phase-shifted fiber Bragg grating: design and analysis.

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  • 1Institut National de la Recherche Scientifique-Energie, Matériaux et Télécommunications, Montréal, Québec, Canada.


A simple all-fiber design for implementing an all-optical temporal Hilbert transformer is proposed and numerically demonstrated. We show that an all-optical Hilbert transformer can be implemented using a uniform-period fiber Bragg grating (FBG) with a properly designed amplitude-only grating apodization profile incorporating a single pi phase shift in the middle of the grating length. All-optical Hilbert transformers capable of processing arbitrary optical waveforms with bandwidths up to a few hundreds of gigahertz can be implemented using feasible FBGs.

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