Analog photonic fractional signal processing

Abstract

Abstract: In this work, we provide an up to date overview on the subject of photonic fractional signalprocessing,includingboth,in-fiberandwaveguideon-chiptechnology.Thus,we discuss in detail fractional differentiation, fractional integration, fractional Hilbert transforms, and finally, fractional Fourier transforms. In each case, the underlying mathematical principles are explained for each operation, together with a short historical discussioninthecontextofclassicaloptics.Afterthat,thedifferentproposalstoperform these operations photonically on the complex field envelope of a given light pulse are presented, divided according to its working principle. Finally, current applications for these operators are also discussed, as well as some of its future possibilities are envisaged.