Proposal and Design of a Photonic In-Fiber Fractional Hilbert Transformer

We numerically demonstrate that an asymmetrical fiber Bragg grating of uniform-period operated in reflection can provide the required spectral response for implementing an all-optical fractional Hilbert transformer. The device shows a good accuracy calculating the fractional Hilbert transform of the complex field of some typical input optical waveforms. The sensibility of the proposed device under different conditions was also analyzed.