## Application of the two-dimensional fractional-order Fourier transformation to particle field digital holography

JOSA A, Vol. 19, Issue 8, pp. 1537-1546 (2002)

http://dx.doi.org/10.1364/JOSAA.19.001537

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### Abstract

We demonstrate that the fractional-order Fourier transformation is a suitable method to analyze the diffraction patterns of particle field holograms. This method permits reconstruction of in-line digital holograms beyond the Fraunhofer condition (d<sup>2</sup>/λz≃10). We show that the diameter of spherical particles is measured with good accuracy. Simulation and experimental results are presented. © 2002 Optical Society of America

© 2002 Optical Society of America

**OCIS Codes**

(070.0070) Fourier optics and signal processing : Fourier optics and signal processing

(090.0090) Holography : Holography

(100.0100) Image processing : Image processing

**Citation**

Sébastien Coëtmellec, Denis Lebrun, and Cafer Özkul, "Application of the two-dimensional fractional-order Fourier transformation to particle field digital holography," J. Opt. Soc. Am. A **19**, 1537-1546 (2002)

http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-19-8-1537

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