title: Characterization of diffraction patterns directly from in-line holograms with the fractional Fourier transform.
abstract: We show that the fractional Fourier transform is a suitable mechanism with which to analyze the diffraction patterns produced by a one-dimensional object because its intensity distribution is partially described by a linear chirp function. The three-dimensional location and the diameter of a fiber can be determined, provided that the optimal fractional order is selected. The effect of compaction of the intensity distribution in the fractional Fourier domain is discussed. A few experimental results are presented.
authors.affiliation: G2O, Complexe de Recherche Interprofessionnel en Aéro-thermochimie, Unité Mixte de Recherche Technopĵle du Madrillet, Saint Etienne du Rouvray, France. coetmellec@coria.fr
authors.forename: Sébastien
authors.initials: S
authors.lastname: Coëtmellec
authors.forename: Denis
authors.initials: D
authors.lastname: Lebrun
authors.forename: Cafer
authors.initials: C
authors.lastname: Ozkul