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

Applied Optics, Vol. 41, Issue 2, pp. 312-319 (2002)

http://dx.doi.org/10.1364/AO.41.000312

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### 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.

© 2002 Optical Society of America

**OCIS Codes**

(100.2000) Image processing : Digital image processing

(100.2650) Image processing : Fringe analysis

(100.3190) Image processing : Inverse problems

**Citation**

Sébastien Coëtmellec, Denis Lebrun, and Cafer Özkul, "Characterization of diffraction patterns directly from in-line holograms with the fractional Fourier transform," Appl. Opt. **41**, 312-319 (2002)

http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-41-2-312

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