Digital in-line holography in thick optical systems: Application to visualization in pipes

Applied Optics

Volumn 47, Issue 22, 2008, Pages 4147-4157

  Verrier, Nicolas ^a   Coëtmellec, Sébastien ^a   Brunel, Marc ^a   Lebrun, Denis ^a  

^a Unité Mixte de Recherche   (France)

Author keywords

[No Author keywords available]

Indexed keywords

HOLOGRAPHY;

ANALYTICAL EXPRESSIONS; CCD SENSORS; DIGITAL IN-LINE HOLOGRAPHIES; FRACTIONAL FOURIER TRANSFORMS; FRESNEL TRANSFORM; IN-PIPE; INTENSITY DISTRIBUTION; OPAQUE OBJECTS;

HOLOGRAMS;

DATA RECORDING; HOLOGRAPHY; INTERFEROMETRY; LASERS; LITHOGRAPHY; OPTICAL INSTRUMENTS; PIPING; SENSORS;

EID: 54149106524     PISSN: 1559128X     EISSN: 15394522     Source Type: Journal    
DOI: 10.1364/AO.47.004147     Document Type: Article

References (33)

1. G. Pan and H. Meng, "Digital holography of particle fields: reconstruction by use of complex amplitude," Appl. Opt. 42 ,827-833 (2003).
2. M. Malek, D. Allano, S. Coëtmellec, C. Özkul, and D. Lebrun, "Digital in-line holography for three-dimensional-two-components particle tracking velocimetry," Meas. Sci. Technol. 15, 699-705 (2004).
3. E. Malkiel, J. Sheng, J. Katz, and J. Strickler, "The three-dimensional flow field generated by a feeding calanoid copepod measured using digital holography," J. Exp. Biol. 206, 3657-3666 (2003).
4. J. Garcia-Sucerquia, W. Xu, S. Jericho, P. Klages, M. Jericho, and H. Kreuzer, "Digital in-line holographic microscopy," Appl. Opt. 45, 836-850 (2006).
5. C. S. Vikram, "Particle field holography," in Cambridge Studies in Modern Optics (Cambridge U. Press, 1992).
6. S. De Nicola, P. Ferraro, A. Finizio, and G. Pierattini, "Correct-image reconstruction in the presence of severe anamorphism by means of digital holography," Opt. Lett. 26, 974-976 (2001).
7. S. Grilli, P. Ferraro, S. De Nicola, A. Finizio, G. Pierattini, and R. Meucci, "Whole optical wavefields reconstruction by digital holography," Opt. Express 9, 294-302 (2001).
8. S. De Nicola, P. Ferraro, A. Finizio, and G. Pierattini, "Wave front reconstruction of Fresnel off-axis holograms with compensation of aberrations by means of phase-shifting digital holography," Opt. Lasers Eng. 37, 331-340 (2002).
9. J. S. Crane, P. Dunn, B. J. Thompson, J. Z. Knapp, and J. Zeiss, "Far-field holography of ampule contaminants," Appl. Opt. 21, 2548-2553 (1982).
10. 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).
11. L. Onural and P. Scott, "Digital decoding of in-line holograms," Opt. Eng. 26, 1124-1132 (1987).
12. L. Onural, "Diffraction from a wavelet point of view," Opt. Lett. 18, 846-848 (1993).
13. 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).
14. C. Palma and V. Bagini, "Extension of the Fresnel transform to ABCD systems," J. Opt. Soc. Am. A 14, 1774-1779 (1997).
15. A. J. Lambert and D. Fraser, "Linear systems approach to simulation of optical diffraction," Appl. Opt. 37, 7933-7939 (1998).
16. H. T. Yura and S. G. Hanson, "Optical beam wave propagation through complex optical systems," J. Opt. Soc. Am. A 4, 1931-1948 (1987).
17. H. M. Ozaktas, Z. Zalevsky, and M. A. Kutay, The Fractional Fourier Transform: with Applications in Optics and Signal Processing (Wiley, 2001).
18. J. W Goodman, Introduction to Fourier Optics, 3rd ed. (Roberts and Company, 2005).
19. A. E. Siegman, Lasers (University Science Books, 1986).
20. J. J. Wen and M. Breazeale, "Gaussian beam functions as a base function set for acoustical field calculations," Proc. IEEE Ultrason. Symp. 1137-1140 (1987).
21. J. J. Wen and M. Breazeale, "A diffraction beam expressed as the superposition of Gaussian beams," J. Acoust. Soc. Am. 83, 1752-1756 (1988).
22. C. Zheng, D. Zhao, and X. Du, "Analytical expression of elliptical Gaussian beams through nonsymmetric systems with an elliptical aperture," Optik (Jena) 117, 296-298 (2006).
23. X. Du and D. Zhao, "Propagation of decentered elliptical Gaussian beams in apertured and nonsymmetrical optical systems," J. Opt. Soc. Am. A 23, 625-631 (2006).
24. X. Du and D. Zhao, "Propagation of elliptical Gaussian beams in apertured and misaligned optical systems," J. Opt. Soc. Am. A 23, 1946-1950 (2006).
25. X. Du and D. Zhao, "Propagation of elliptical Gaussian beams modulated by an elliptical annular aperture," J. Opt. Soc. Am. A 24, 444-450 (2007).
26. F. Slimani, G. Grehan, G. Gouesbet, and D. Allano, "Near-field Lorenz-Mie theory and its application to microholography," Appl. Opt. 23, 4140-4148 (1984).
27. A. C. McBride and F. H. Kerr, "On Namias's fractional Fourier transforms," IMA J. Appl. Math. 39, 159-175 (1987).
28. V. Namias, "The fractional order Fourier transform and its application to quantum mechanics," J. Inst. Math. Appl. 25, 241-265 (1980).
29. A. W Lohmann, "Image rotation, Wigner rotation, and the fractional Fourier transform," J. Opt. Soc. Am. A 10, 2181-2186 (1993).
30. 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).
31. S.-C. Pei, M.-H. Yeh, and C.-C. Tseng, "Discrete fractional Fourier transform based on orthogonal projections," IEEE Trans. Signal Process. 47, 1335-1348 (1999).
32. 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).
33. D. Gabor, "Microscopy by reconstructed wave-fronts," Proc. R. Soc. London Ser. A 197, 454-487 (1949).