Digital in-line holography with an elliptical, astigmatic Gaussian beam: Wide-angle reconstruction

Journal of the Optical Society of America A: Optics and Image Science, and Vision

Volumn 25, Issue 6, 2008, Pages 1459-1466

  Verrier, Nicolas ^a   Coëtmellec, Sébastien ^a   Brunel, Marc ^a   Lebrun, Denis ^a   Janssen, Augustus J E M ^b  

^a University of Rouen Normandy   (France)

^b PHILIPS RESEARCH LABORATORIES   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

DATA RECORDING; GAUSSIAN NOISE (ELECTRONIC); HOLOGRAPHIC INTERFEROMETRY; LASER RECORDING; PHOTONICS; TRELLIS CODES;

ASTIGMATIC GAUSSIAN BEAM; FRACTIONAL ORDERS; IN-LINE HOLOGRAPHY;

GAUSSIAN BEAMS;

EID: 50449087346     PISSN: 10847529     EISSN: 15208532     Source Type: Journal    
DOI: 10.1364/JOSAA.25.001459     Document Type: Article

References (22)

1. W. Xu, M. H. Jericho, H. J. Kreuzer, and I. A. Meinertzhagen, "Tracking particles in four dimensions with in-line holographic microscopy," Opt. Lett. 28, 164-166 (2003).
2. F. Dubois, L. Joannes, and J.-C. Legros, "Improved three-dimensional imaging with a digital holography microscope using a partial spatial coherent source," Appl. Opt. 38, 7085-7094 (1999).
3. B. Skarman, K. Wozniac, and J. Becker, "Simultaneous 3D-PIV and temperature measurement using a new CCD based holographic interferometer," Flow Meas. Instrum. 7, 1-6 (1996).
4. M. Sebesta and M. Gustafsson, "Object characterization with refractometric digital Fourier holography," Opt. Lett. 30, 471-473 (2005).
5. U. Schnars, "Direct phase determination in hologram interferometry with use of digitally recorded holograms," J. Opt. Soc. Am. A 11, 2011-2015 (1994).
6. G. Shen and R. Wei, "Digital holography particle image velocimetry for the measurement of 3Dt-3c flows," Opt. Lasers Eng. 43, 1039-1055 (2002).
7. L. Onural, "Diffraction from a wavelet point of view," Opt. Lett. 18, 846-848 (1993).
8. L. Onural and P. D. Scott, "Digital decoding of in-line holograms," Opt. Eng. (Bellingham) 26, 1124-1132 (1987).
9. E. Fogret and P. Pellat-Finet, "Agreement of fractional Fourier optics with the Huygens-Fresnel principle," Opt. Commun. 272, 281-288 (2007).
10. S. Coëtmellec, D. Lebrun, and C. Özkul, "Characterization of diffraction patterns directly from in-line holograms with the fractional Fourier transform," Appl. Opt. 41, 312-319 (2002).
11. F. Nicolas, S. Coëtmellec, M. Brunel, D. Allano, D. Lebrun, and A. J. Janssen, "Application of the fractional Fourier transformation to digital holography recorded by an elliptical, astigmatic Gaussian beam," J. Opt. Soc. Am. A 22, 2569-2577 (2005).
12. F. Nicolas, S. Coëtmellec, M. Brunel, and D. Lebrun, "Digital in-line holography with a sub-picosecond laser beam," Opt. Commun. 268, 27-33 (2006).
13. A. J. E. M. Janssen, J. J. M. Braat, and P. Dirksen, "On the computation of the Nijboer-Zernike aberration integrals at arbitrary defocus," J. Mod. Opt. 51, 687-703 (2004).
14. J. J. M. Braat, P. Dirksen, and A. J. E. M. Janssen, "Assessment of an extended Nijboer-Zernike approach for the computation of optical point-spread functions," J. Opt. Soc. Am. A 19, 858-870 (2002).
15. A. J. E. M. Janssen, "Extended Nijboer-Zernike approach for the computation of optical point-spread functions," J. Opt. Soc. Am. A 19, 849-857 (2002).
16. M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions (Dover, 1970).
17. W. Mecklenbräuker and F. Hlawatsch, The Wigner Distribution. Theory and Applications in Signal Processing (Elsevier, 1997), pp. 59-83.
18. A. C. McBride and F. H. Kerr, "On Namias's fractional Fourier transforms," IMA J. Appl. Math. 39, 159-175 (1987).
19. V. Namias, "The fractional order Fourier transform and its application to quantum mechanics," J. Inst. Math. Appl. 25, 241-265 (1980).
20. A. W. Lohmann, "Image rotation, Wigner rotation, and the fractional Fourier transform," J. Opt. Soc. Am. A 10, 2181-2186 (1993).
21. 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).
22. H. M. Ozaktas, Z. Zalevsky, and M. A. Kutay, The Fractional Fourier Transform: With Applications in Optics and Signal Processing (Wiley, 2001).