Application of the fractional Fourier transformation to digital holography recorded by an elliptical, astigmatic Gaussian beam.
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.
Nicolas
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F
Groupe d'Optique et d'Optoélectronique, UMR-6614 CORIA, Av. de l'Université, 76801 Saint-Etienne du Rouvray, France.
Coëtmellec
S
S
Brunel
M
M
Allano
D
D
Lebrun
D
D
Janssen
A J E M
AJ