title: Ultrafast all-optical Nth-order differentiator and simultaneous repetition-rate multiplier of periodic pulse train.
abstract: The letter presents a technique for Nth-order differentiation of periodic pulse train, which can simultaneously multiply the input repetition rate. This approach uses a single linearly chirped apodized fiber Bragg grating, which grating profile is designed to map the spectral response of the Nth-order differentiator, and the chirp introduces a dispersion that, besides space-to-frequency mapping, it also causes a temporal Talbot effect.
authors: Miguel A
authors: MA
authors: Preciado
authors: Miguel A
authors: MA
authors: Muriel