Digital holography is applied to the reconstruction of small particles in a plane whose orientation is arbitrary as specified by the user. The diffraction pattern produced by the particles is directly recorded by a conventional CCD camera. The digital recorded image enables the recovery of particle-images in several parallel planes of the probe volume. Afterwards, an interrogation slice corresponding to a thin layer around a theoretical arbitrary tilted plane is fixed. The pixels whose 3D coordinates belong to this slice are selected and juxtaposed to rebuild the particle images. The feasibility is demonstrated on a fiber tilted with respect to the camera plane. A second example is given on an experimental particle field. These results let us predict future applications such as the characterization of particle fields in planes other than those parallel with the camera plane.

© 2003 Optical Society of America

1. T.M. Kreis, W.P.O. Jüptner, "Suppression of the dc term in digital holography," Opt. Eng. 36, 2357-2360 (1997). [CrossRef]
2. M.K. Kim, "Tomographic three-dimensional imaging of a biological specimen using wavelength-scanning digital interference holography," Opt. Express 7, 305-310, (2000) <a href="http://www.opticsexpress.org/abstract.cfm?URI=OPEX-7-9-305">http://www.opticsexpress.org/abstract.cfm?URI=OPEX-7-9-305</a>. [CrossRef] [PubMed]
3. O. Schnars and W. Juptner, �??Direct recording of holograms by a CCD target and numerical reconstruction,�?? Appl. Opt. 33, 179-181 (1994). [CrossRef] [PubMed]
4. Yamaguchi and T. Zhang, �??Phase-shifting digital holography,�?? Opt. Lett. 22, 1268-1270, (1997) [CrossRef] [PubMed]
5. S. Belaïd, D. Lebrun and C. �?zkul, "Application of two dimensional wavelet transform to hologram analysis: visualization of glass fibers in a turbulent flame," Opt. Eng. 36, 1947-1951 (1997). [CrossRef]
6. C. Buraga-Lefebvre, S. Coëtmellec, D. Lebrun and C. �?zkul, "Application of wavelet transform to hologram analysis : three-dimensional location of particles," Opt. Lasers Eng. 33, 409-421 (2000). [CrossRef]
7. L. Onural, "Diffraction from a wavelet point of view," Opt. Lett. 18, 846-848, (1993). [CrossRef] [PubMed]
8. S. Coëtmellec, D. Lebrun and C. �?zkul, "Characterization of diffraction patterns directly from in-line holograms with the fractional Fourier Transform," Appl. Opt. 41, 312-319 (2002). [CrossRef]
9. S. Coëtmellec, C. Buraga-Lefebvre, D. Lebrun and C. �?zkul, "Application of in-line digital holography to multiple plane velocimetry," Meas. Sci. Tech. 12, 1392-1397 (2001). [CrossRef]
10. S. Coëtmellec, D. Lebrun and C. �?zkul, "Application of two-dimensional fractional-order Fourier transformation to particle field digital holography," J. Opt. Soc. Am. A. 19, 1537-1546 (2002). [CrossRef]
11. L. Yu, Y. An and L. Cai, �??Numerical reconstruction of digital holograms with variable viewing angles,�?? Opt. Express 10, 1250-1257, (2002) <a href="http://www.opticsexpress.org/abstract.cfm?URI=OPEX-10-22-1250">http://www.opticsexpress.org/abstract.cfm?URI=OPEX-10-22-1250</a>. [CrossRef] [PubMed]

Appl. Opt.

• O. Schnars and W. Juptner, �??Direct recording of holograms by a CCD target and numerical reconstruction,�?? Appl. Opt. 33, 179-181 (1994). [CrossRef] [PubMed]
• S. Coëtmellec, D. Lebrun and C. �?zkul, "Characterization of diffraction patterns directly from in-line holograms with the fractional Fourier Transform," Appl. Opt. 41, 312-319 (2002). [CrossRef]

J. Opt. Soc. Am. A.

• S. Coëtmellec, D. Lebrun and C. �?zkul, "Application of two-dimensional fractional-order Fourier transformation to particle field digital holography," J. Opt. Soc. Am. A. 19, 1537-1546 (2002). [CrossRef]

Meas. Sci. Tech.

• S. Coëtmellec, C. Buraga-Lefebvre, D. Lebrun and C. �?zkul, "Application of in-line digital holography to multiple plane velocimetry," Meas. Sci. Tech. 12, 1392-1397 (2001). [CrossRef]

Opt. Eng.

• S. Belaïd, D. Lebrun and C. �?zkul, "Application of two dimensional wavelet transform to hologram analysis: visualization of glass fibers in a turbulent flame," Opt. Eng. 36, 1947-1951 (1997). [CrossRef]
• T.M. Kreis, W.P.O. Jüptner, "Suppression of the dc term in digital holography," Opt. Eng. 36, 2357-2360 (1997). [CrossRef]

Opt. Express

• M.K. Kim, "Tomographic three-dimensional imaging of a biological specimen using wavelength-scanning digital interference holography," Opt. Express 7, 305-310, (2000) <a href="http://www.opticsexpress.org/abstract.cfm?URI=OPEX-7-9-305">http://www.opticsexpress.org/abstract.cfm?URI=OPEX-7-9-305</a>. [CrossRef] [PubMed]
• L. Yu, Y. An and L. Cai, �??Numerical reconstruction of digital holograms with variable viewing angles,�?? Opt. Express 10, 1250-1257, (2002) <a href="http://www.opticsexpress.org/abstract.cfm?URI=OPEX-10-22-1250">http://www.opticsexpress.org/abstract.cfm?URI=OPEX-10-22-1250</a>. [CrossRef] [PubMed]

Opt. Lasers Eng.

• C. Buraga-Lefebvre, S. Coëtmellec, D. Lebrun and C. �?zkul, "Application of wavelet transform to hologram analysis : three-dimensional location of particles," Opt. Lasers Eng. 33, 409-421 (2000). [CrossRef]

Opt. Lett.

• L. Onural, "Diffraction from a wavelet point of view," Opt. Lett. 18, 846-848, (1993). [CrossRef] [PubMed]
• Yamaguchi and T. Zhang, �??Phase-shifting digital holography,�?? Opt. Lett. 22, 1268-1270, (1997) [CrossRef] [PubMed]

Click here to see a list of articles that cite this paper

Related Journal Articles

• Locally Linearized Synthetic Near-Field Holograms (AO)
• Digital in-line holography: influence of the shadow density on particle field extraction (OE)
• Influence of virtual images on the signal-to-noise ratio in digital in-line particle holography (OE)
• Suppression of the Moiré effect in sub-picosecond digital in-line holography (OE)
• Single-shot digital holography
by use of the fractional Talbot effect (OE)

Related Conference Papers

• Acquisition of Information-Rich Images Using Synthetic-Aperture Digital Holography
• Two-Wavelength Digital Holography
• Three-dimensional holographic imaging
• Hologram Synthesis from Defocused Images Captured under Incoherent Illumination
• Computer Generated Hologram for 3-D Visual System Using Rendering Technology in Computer Graphics