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

Applied Optics
S CoëtmellecC Ozkul

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.

References

Jan 5, 2001·Journal of the Optical Society of America. A, Optics, Image Science, and Vision·D MendlovicH M Ozaktas
Jan 5, 2001·Journal of the Optical Society of America. A, Optics, Image Science, and Vision·I S YetikL Onural
May 15, 1948·Nature·D GABOR
Jun 1, 1993·Optics Letters·L Onural
Sep 15, 1994·Optics Letters·P Pellat-Finet
Apr 1, 1966·Applied Optics·J UpatnieksE Leith

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Citations

Jun 29, 2005·Optics Letters·Weidong YangRaymond A Shaw
Aug 3, 2002·Journal of the Optical Society of America. A, Optics, Image Science, and Vision·Sébastien CoëtmellecCafer Ozkul
Jan 20, 2009·Applied Optics·Marc BrunelKamel Aït Ameur
Nov 9, 2017·Scientific Reports·Anwar HussainXu Liu
Jun 3, 2008·Journal of the Optical Society of America. A, Optics, Image Science, and Vision·Nicolas VerrierAugustus J E M Janssen

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