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Appl Opt. 2002 Jan 10;41(2):312-9.

Characterization of diffraction patterns directly from in-line holograms with the fractional Fourier transform.

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1
G2O, Complexe de Recherche Interprofessionnel en Aéro-thermochimie, Unité Mixte de Recherche Technopĵle du Madrillet, Saint Etienne du Rouvray, France. coetmellec@coria.fr

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.

PMID:
11899270
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