title: Optical illustration of a varied fractional Fourier-transform order and the Radon-Wigner display.
abstract: Based on an all-optical system, a display of a fractional Fourier transform with many fractional orders is proposed. Because digital image-processing terminology is used, this display is known as the Radon-Wigner transform. It enables new aspects for signal analysis that are related to time- and spatial-frequency analyses. The given approach for producing this display starts with a one-dimensional input signal although the output signal contains two dimensions. The optical setup for obtaining the fractional Fourier transform was adapted to include only fixed free-space propagation distances and variable lenses. With a set of two multifacet composite holograms, the Radon-Wigner display has been demonstrated experimentally.
authors.forename: D
authors.initials: D
authors.lastname: Mendlovic
authors.forename: R G
authors.initials: RG
authors.lastname: Dorsch
authors.forename: A W
authors.initials: AW
authors.lastname: Lohmann
authors.forename: Z
authors.initials: Z
authors.lastname: Zalevsky
authors.forename: C
authors.initials: C
authors.lastname: Ferreira