title: Chromatic compensation of broadband light diffraction: ABCD-matrix approach.
abstract: Compensation of chromatic dispersion for the optical implementation of mathematical transformations has proved to be an important tool in the design of new optical methods for full-color signal processing. A novel approach for designing dispersion-compensated, broadband optical transformers, both Fourier and Fresnel, based on the collimated Fresnel number is introduced. In a second stage, the above framework is fully exploited to achieve the optical implementation of the fractional Fourier transform (FRT) of any diffracting screen with broadband illumination. Moreover, we demonstrate that the amount of shift variance of the dispersion-compensated FRT can be tuned continuously from the spatial domain, which is totally space variant, to the spectral domain, which is totally space invariant, with the chromatic correction remaining unaltered.
authors.affiliation: Departament de Ciències Experimentals, Universitat Jaume I, 12080 Castelló, Spain. lancis@exp.uji.es
authors.forename: Jésus
authors.initials: J
authors.lastname: Lancis
authors.forename: Gladys
authors.initials: G
authors.lastname: Mínguez-Vega
authors.forename: Enrique
authors.initials: E
authors.lastname: Tajahuerce
authors.forename: Vicent
authors.initials: V
authors.lastname: Climent
authors.forename: Pedro
authors.initials: P
authors.lastname: Andrés
authors.forename: José
authors.initials: J
authors.lastname: Caraquitena