title: White-light optical implementation of the fractional fourier transform with adjustable order control.
abstract: An optical implementation of the fractional Fourier transform (FRT) with broadband illumination is proposed by use of a single imaging element, namely, a blazed diffractive lens. The setup displays an achromatized version of the FRT of order P of any two-dimensional input function. This fractional order can be tuned continuously by shifting of the input along the optical axis. Our compact and flexible configuration is tested with a chirplike input signal, and the good experimental results obtained support the theory.
authors.affiliation: Departamento de Ciencias Experimentales, Universitat Jaume I, E-12080 Castelló, Spain.
authors.forename: E
authors.initials: E
authors.lastname: Tajahuerce
authors.forename: G
authors.initials: G
authors.lastname: Saavedra
authors.forename: W D
authors.initials: WD
authors.lastname: Furlan
authors.forename: E E
authors.initials: EE
authors.lastname: Sicre
authors.forename: P
authors.initials: P
authors.lastname: Andrés