Digital phase contrast with the fractional Fourier transform

Applied Optics

Volumn 48, Issue 3, 2009, Pages 579-583

  Brunel, Marc ^a   Coëtmellec, Sebastien ^a   Lebrun, Denis ^a   Ameur, Kamel Aït ^b  

^a UNIVERSITÉ DE ROUEN   (France)

^b Direction de la Recherche Fondamentale   (France)

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL TRANSFORMATIONS; PHASE SHIFT;

FOURIER RECONSTRUCTION; FRACTIONAL FOURIER TRANSFORMS; FRACTIONAL ORDER; GAUSSIANS; LINEAR CHIRP; PHASE CONTRASTS; PHASE OBJECT; PURE PHASE OBJECT;

FOURIER TRANSFORMS;

EID: 61349124228     PISSN: 1559128X     EISSN: 15394522     Source Type: Journal    
DOI: 10.1364/AO.48.000579     Document Type: Article

References (14)

1. A. C. McBride and F. H. Kerr, "On Namias's fractional Fourier transforms," IMA J. Appl. Math. 39, 159-175 (1987).
2. V. Namias, "The fractional order Fourier transform and its application to quantum mechanics," J. Inst. Math. Appl. 25, 241-265 (1980).
3. A. W. Lohmann, "Image rotation, Wigner rotation, and the fractional Fourier transform," J. Opt. Soc. Am. A 10, 2181-2186 (1993).
4. S. Coëtmellec, D. Lebrun, and C. Ozkul, "Characterization of diffraction patterns directly from in-line holograms with the fractional Fourier transform," Appl. Opt. 41, 312-319 (2002).
5. F. Nicolas, S. Coëtmellec, M. Brunel, D. Allano, D. Lebrun, and A. J. E. M. Janssen, "Application of the fractional Fourier transformation to digital holography recorded by an elliptical and astigmatic Gaussian beam," J. Opt. Soc. Am. A 22, 2569-2577 (2005).
6. N. Verrier, S. Coëtmellec, M. Brunel, D. Lebrun, and A. J. E. M. Janssen, "Digital in-line holography with an elliptical, astigmatic Gaussian beam: wide-angle reconstruction," J. Opt. Soc. Am. A 25, 1459-1466 (2008).
7. N. Verrier, S. Coëtmellec, M. Brunel, and D. Lebrun, "Digital in-line holography in thick optical systems: application to visualization in pipes," Appl. Opt. 47, 4147-4157 (2008).
8. E. Cuche, P. Marquet, and C. Depeursinge, "Simultaneous amplitude-contrast and quantitative phase-contrast microscopy by numerical reconstruction of Fresnel off-axis holograms," Appl. Opt. 38, 6994-7001 (1999).
9. E. Cuche, F. Bevilacqua, and C. Depeursinge, "Digital holography for quantitative phase-contrast imaging," Opt. Lett. 24, 291-293 (1999).
10. B. Kemper and G. von Bally, "Digital holographic microscopy for live cell applications and technical inspection," Appl. Opt. 47, A52-A61 (2008).
11. I. Yamaguchi, J. Kato, S. Ohta, and J. Mizuno, "Image formation in phase-shifting digital holography and applications to microscopy," Appl. Opt. 40, 6177-6186 (2001).
12. F. Dubois, C. Schockaert, N. Callens, and C. Yourassowsky, "Focus plane detection criteria in digital holography microscopy by amplitude analysis," Opt. Express 14, 5895-5908 (2006).
13. M. Brunel and S. Coëtmellec, "Generation of nondiffracting beams through an opaque disk," J. Opt. Soc. Am. A 24, 3753-3761 (2007).
14. D. Mas, J. Pérez, C. Hernández, C. Vázquez, J. J. Miret, and C. Illueca, "Fast numerical calculation of Fresnel patterns in convergent systems," Opt. Commun. 227, 245-258 (2003).