title: Application of the fractional Fourier transformation to digital holography recorded by an elliptical, astigmatic Gaussian beam.
abstract: The authors have studied the diffraction pattern produced by a particle field illuminated by an elliptic and astigmatic Gaussian beam. They demonstrate that the bidimensional fractional Fourier transformation is a mathematically suitable tool to analyse the diffraction pattern generated not only by a collimated plane wave [J. Opt. Soc. Am A 19, 1537 (2002)], but also by an elliptic and astigmatic Gaussian beam when two different fractional orders are considered. Simulations and experimental results are presented.
authors.affiliation: Groupe d'Optique et d'Optoélectronique, UMR-6614 CORIA, Av. de l'Université, 76801 Saint-Etienne du Rouvray, France.
authors.forename: F
authors.initials: F
authors.lastname: Nicolas
authors.forename: S
authors.initials: S
authors.lastname: Coëtmellec
authors.forename: M
authors.initials: M
authors.lastname: Brunel
authors.forename: D
authors.initials: D
authors.lastname: Allano
authors.forename: D
authors.initials: D
authors.lastname: Lebrun
authors.forename: A J E M
authors.initials: AJ
authors.lastname: Janssen