Instantaneous frequency measurement by in-fiber 0.5th order fractional differentiation

We experimentally demonstrate the possibility to retrieve the instantaneous frequency profile of a given temporal light pulse by in-fiber fractional order differentiation of 0.5th-order. The signal's temporal instantaneous frequency profile is obtained by simple dividing two temporal intensity profiles, namely the intensities of the input and output pulses of a spectrally-shifted fractional order differentiation. The results are supported by the experimental measurement of the instantaneous frequency profile of a mode-locked laser.Fil: Poveda-Wong, L.. Universidad de Valencia; EspañaFil: Carrascosa, A.. Universidad de Valencia; EspañaFil: Cuadrado Laborde, Christian Ariel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario. Instituto de Física de Rosario. Universidad Nacional de Rosario. Instituto de Física de Rosario; Argentina. Universidad Catolica Argentina; ArgentinaFil: Cruz, J. L.. Universidad de Valencia; EspañaFil: Díez, A.. Universidad de Valencia; EspañaFil: Andrés, M. V.. Universidad de Valencia; Españ