Digital phase contrast with the fractional Fourier transform.

Appl Opt

CORIA UMR 6614, Université de Rouen, Avenue de l'université BP 12, 76801 Saint Etienne du Rouvray Cedex, France.

Published: January 2009

AI Article Synopsis

  • A new digital phase contrast method using fractional-order Fourier reconstruction is introduced, focusing on pure phase objects.
  • The diffraction patterns from these phase objects display linear chirp functions, which can be effectively analyzed with the fractional Fourier transform.
  • The technique helps determine the phase object's location, diameter, and phase shift, supported by simulations and experimental results under Gaussian illumination.

Article Abstract

A new method of digital phase contrast based on fractional-order Fourier reconstruction is proposed. We show that the diffraction patterns produced by pure phase objects exhibit linear chirp functions that can be advantageously processed using the fractional Fourier transform. The optimal fractional orders lead to the longitudinal location of the phase object, while the analysis of the reconstructed pattern leads to its diameter and to the value of the phase shift. Simulations and experimental results are given. The configuration tested in this paper is a very general Gaussian illumination.

Download full-text PDF

Source
http://dx.doi.org/10.1364/ao.48.000579DOI Listing

Publication Analysis

Top Keywords

digital phase
8
phase contrast
8
fractional fourier
8
fourier transform
8
contrast fractional
4
transform method
4
method digital
4
phase
4
contrast based
4
based fractional-order
4

Similar Publications

Want AI Summaries of new PubMed Abstracts delivered to your In-box?

Enter search terms and have AI summaries delivered each week - change queries or unsubscribe any time!