Application of the fractional Fourier transformation to digital holography recorded by an elliptical, astigmatic Gaussian beam

F. Nicolas, S. Coëtmellec, M. Brunel, D. Allano, D. Lebrun, A.J.E.M. Janssen

Research output: Contribution to journalArticleAcademicpeer-review

30 Citations (Scopus)

Abstract

The authors have studied the diffraction pattern produced by a particle field illuminated by an elliptic and astigmatic Gaussian beam. They demonstrate that the bidimensional fractional Fourier transformation is a mathematically suitable tool to analyse the diffraction pattern generated not only by a collimated plane wave [J. Opt. Soc. Am A 19, 1537 (2002)], but also by an elliptic and astigmatic Gaussian beam when two different fractional orders are considered. Simulations and experimental results are presented.
Original languageEnglish
Pages (from-to)2569-2577
Number of pages9
JournalJournal of the Optical Society of America A, Optics, Image Science and Vision
Volume22
Issue number11
DOIs
Publication statusPublished - 2005

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