Applications of the Wigner distribution function in signal processing

D Dragoman - EURASIP Journal on Advances in Signal Processing, 2005 - Springer
We present a review of the applications of the Wigner distribution function in various areas of
signal processing: amplitude and phase retrieval, signal recognition, characterization of …

Beam spreading and wander of partially coherent Lommel–Gaussian beam in turbulent biological tissue

L Yu, Y Zhang - Journal of Quantitative Spectroscopy and Radiative …, 2018 - Elsevier
Aiming at the partially coherent Lommel–Gaussian beam, we investigate its propagation in
turbulent biological tissue. By use of Wigner distribution function, a theoretical model is …

Effects of Anisotropic Turbulent Ocean on Propagation of Asymmetric Bessel-Gaussian Beam

L Yu, Z Zhang, Y Zhang, L Hu - IEEE Photonics Journal, 2024 - ieeexplore.ieee.org
Aiming at the propagation of asymmetric vortex beam, we investigate the spreading and
wander characteristics of asymmetric Bessel-Gaussian beam in oceanic turbulence. Based …

Spatial coherence wavelets

R Castaneda, J Garcia-Sucerquia - Journal of Modern Optics, 2003 - Taylor & Francis
It is shown that the cross-spectral density at a plane in the Fresnel—Fraunhofer domain can
be expressed as a certain diffraction pattern, which is generated by the superposition of …

Spatial coherence wavelets: mathematical properties and physical features

R Castañeda, J García-Sucerquia - Journal of Modern Optics, 2003 - Taylor & Francis
This paper discusses a set of mathematical and physical properties regarding spatial
coherence wavelets, a concept recently developed by Castaiieda and Garcia-Sucerquia …

M2-factor and wander of Mathieu Gaussian-Schell beam in oceanic turbulence

H Yang, Q Liang, Y Zhang - Optics Frontiers Online 2020 …, 2020 - spiedigitallibrary.org
Consider the evolution of the wander and M2-factor of Mathieu Gaussian-Schell beam in
turbulent ocean. We develop models for wander and M2-factor of this beam based the …

The complex fractional Fourier transform, the complex Wigner transform and the entangled Wigner operator in EPR entangled state representation

N Zhou, L Hu, H Fan - Physica Scripta, 2008 - iopscience.iop.org
Abstract Based on the Einstein–Podolsky–Rosen (EPR) entangled state representation, we
show that the complex Wigner transform for the complex function ψ (η) turns out to be the …

Adaption of optical Fresnel transform to optical Wigner transform

C Lv, H Fan - Physica Scripta, 2010 - iopscience.iop.org
Enlightened by the algorithmic isomorphism between the rotation of the Wigner distribution
function (WDF) and the αth fractional Fourier transform, we show that the optical Fresnel …

Spatial coherence beams in critical illumination for optical microscopes

R Castaneda, J Bohórquez-Ballén - Optics communications, 2000 - Elsevier
We show experimental evidence of the propagation of spatial coherence beams between
the aperture stop plane of the critical illuminator and the object plane of optical microscopes …

Effects of the scattering coefficient on width estimates in a two-layer tissue

M Dishon, H Taitelbaum, GH Weiss - Journal of Modern Optics, 2003 - Taylor & Francis
We pose the problem of estimating the width of the upper layer of a two-stratum medium
using data from reflectance measurements made at the interface separating the medium …