title: Generalized fiber Fourier optics.
abstract: A twofold generalization of the optical schemes that perform the discrete Fourier transform (DFT) is given: new passive planar architectures are presented where the 2 × 2 3 dB couplers are replaced by M × M hybrids, reducing the number of required connections and phase shifters. Furthermore, the planar implementation of the discrete fractional Fourier transform (DFrFT) is also described, with a waveguide grating router (WGR) configuration and a properly modified slab coupler.
authors.affiliation: Department of Applied Electronics, University Roma Tre, via della Vasca Navale 84, I-00146 Rome, Italy. cincotti@uniroma3.it
authors.forename: Gabriella
authors.initials: G
authors.lastname: Cincotti