Abstract

We propose parallel three-step phase-shifting digital holography as a technique capable of noiseless instantaneous measurement of three-dimensional objects based on phase-shifting interferometry. The proposed digital holography carries out three-step phase shifting at the same time by using a phase-shifting array device located in the reference beam. The array device has a periodic three-step phase distribution, and its configuration is simplified compared with that required for conventional parallel phase-shifting digital holography. Therefore the optical system of the proposed parallel phase-shifting digital holography is more suitable for the realization of the proposed holography. We conduct both a numerical simulation and a preliminary experiment. The results of the simulation and experiment agree well with those of the conventional phase-shifting method and are superior to the results obtained by conventional digital holography by using the Fresnel transform alone. Thus the effectiveness of the proposed technique is verified.

© 2006 Optical Society of America

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    [CrossRef]
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  44. Y. Takaki, H. Kawai, and H. Ohzu, "Hybrid-holographic microscopy free of conjugate and zero-order images," Appl. Opt. 38, 4990-4996 (1999).
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    [CrossRef]
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    [CrossRef]
  48. Y. Awatsuji, M. Sasada, A. Fujii, and T. Kubota, "Scheme to improve the reconstructed image in parallel quasi-phase-shifting digital holography," Appl. Opt. 45, 968-974 (2006).
    [CrossRef]
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    [CrossRef]

2006 (1)

2005 (1)

Y. Morimoto, T. Nomura, M. Fujigaki, S. Yoneyama, and I. Takahashi, "Deformation measurement by phase-shifting digital holography," Exp. Mech. 45, 65-70 (2005).
[CrossRef]

2004 (6)

2003 (6)

2002 (6)

2001 (7)

2000 (8)

1999 (3)

1998 (2)

1997 (2)

I. Yamaguchi and T. Zhang, "Phase-shifting digital holography," Opt. Lett. 22, 1268-1270 (1997).

T. M. Kreis and W. P. O. Jüptner, "Suppression of the dc term in digital holography," Opt. Eng. 36, 2357-2360 (1997).
[CrossRef]

1994 (2)

1987 (1)

L. Onural and P. D. Scott, "Digital decording of in-line holograms," Opt. Eng. 26, 1124-1132 (1987).

1972 (1)

M. A. Kronrod, N. S. Merzlyakov, and L. P. Yaroslavskii, "Reconstruction of a hologram with a computer," Sov. Phys. Tech. Phys. 17, 333-334 (1972).

1964 (1)

1948 (1)

D. Gabor, "A new microscopic principle," Nature (London) 161, 777-778 (1948).

Asundi, A. K.

Awatsuji, Y.

Benkouider, A. M.

Bertaux, N.

Castro, M.

Coëtmellec, S.

Coppola, G.

Cuche, E.

De Nicola, S.

Depeursinge, C.

Devaney, A. J.

Dubois, F.

Ferraro, P.

Fessler, H.

Finizio, A.

Frauel, Y.

Froning, P.

Fujigaki, M.

Y. Morimoto, T. Nomura, M. Fujigaki, S. Yoneyama, and I. Takahashi, "Deformation measurement by phase-shifting digital holography," Exp. Mech. 45, 65-70 (2005).
[CrossRef]

Fujii, A.

Gabor, D.

D. Gabor, "A new microscopic principle," Nature (London) 161, 777-778 (1948).

Ge, B.

Y. Zhang, Q. Lu, and B. Ge, "Elimination of zero-order diffraction in digital off-axis holography," Opt. Commun. 240, 261-267 (2004).
[CrossRef]

Grilli, S.

Guo, P.

Gustafsson, M.

Indebetouw, G.

G. Indebetouw and P. Klysubun, "Imaging through scattering media with depth resolution by use of low-coherence gating in spatiotemporal digital holography," Opt. Lett. 25, 212-214 (2000).

G. Indebetouw and P. Klysubun, "Space-time digital holography: a three-dimensional microscopic imaging scheme with an arbitrary degree of spatial coherence," Appl. Phys. Lett. 75, 2017-2019 (1999).
[CrossRef]

Javidi, B.

Y. Frauel, E. Tajahuerce, O. Matoba, M. Castro, and B. Javidi, "Comparison of passive ranging integral imaging and active imaging digital holography for three-dimensional object recognition," Appl. Opt. 43, 452-462 (2004).
[CrossRef]

S. Kishk and B. Javidi, "3D object watermarking by a 3D hidden object," Opt. Express 11, 874-888 (2003).

S. Kishk and B. Javidi, "Watermarking of three-dimensional objects by digital holography," Opt. Lett. 28, 167-169 (2003).

O. Matoba and B. Javidi, "Optical retrieval of encrypted digital holograms for secure real-time display," Opt. Lett. 27, 321-323 (2002).

T. J. Naughton, Y. Frauel, B. Javidi, and E. Tajahuerce, "Compression of digital holograms for three-dimensional object reconstruction and recognition," Appl. Opt. 41, 4124-4132 (2002).

O. Matoba, T. Naughton, Y. Frauel, N. Bertaux, and B. Javidi, "Real-time three-dimensional object reconstruction by use of a phase-encoded digital hologram," Appl. Opt. 41, 6187-6192 (2002).

Y. Frauel, E. Tajahuerce, M. Castro, and B. Javidi, "Distortion-tolerant three-dimensional object recognition with digital holography," Appl. Opt. 40, 3887-3893 (2001).

Y. Frauel and B. Javidi, "Neural network for three-dimensional object recognition based on digital holography," Opt. Lett. 26, 1478-1480 (2001).

E. Tajahuerce, O. Matoba, and B. Javidi, "Shift-invariant three-dimensional object recognition by means of digital holography," Appl. Opt. 40, 3877-3886 (2001).

E. Tajahuerce and B. Javidi, "Encrypting three-dimensional information with digital holography," Appl. Opt. 39, 6595-6601 (2000).

B. Javidi and T. Nomura, "Securing information by use of digital holography," Opt. Lett. 25, 28-30 (2000).

B. Javidi and E. Tajahuerce, "Three-dimensional object recognition by use of digital holography," Opt. Lett. 25, 610-612 (2000).

Jericho, M. H.

W. Xu, M. H. Jericho, I. A. Meinertzhagen, and H. J. Kreuzer, "Digital in-line holography for biological applications," Proc. Natl. Acad. Sci. USA 98, 11301-11305 (2001).
[CrossRef]

Joannes, L.

Jüptner, W.

Jüptner, W. P. O.

T. M. Kreis and W. P. O. Jüptner, "Suppression of the dc term in digital holography," Opt. Eng. 36, 2357-2360 (1997).
[CrossRef]

Kato, J.

I. Yamaguchi, S. Ohta, and J. Kato, "Image formation in phase-shifting digital holography and applications to microscopy," Appl. Opt. 40, 6177-6186 (2001).

I. Yamaguchi, J. Kato, and S. Ohta, "Surface shape measurement by phase-shifting digital holography," Opt. Rev. 8, 85-89 (2001).
[CrossRef]

Kawai, H.

Kishk, S.

Klysubun, P.

G. Indebetouw and P. Klysubun, "Imaging through scattering media with depth resolution by use of low-coherence gating in spatiotemporal digital holography," Opt. Lett. 25, 212-214 (2000).

G. Indebetouw and P. Klysubun, "Space-time digital holography: a three-dimensional microscopic imaging scheme with an arbitrary degree of spatial coherence," Appl. Phys. Lett. 75, 2017-2019 (1999).
[CrossRef]

Kreis, T. M.

T. M. Kreis and W. P. O. Jüptner, "Suppression of the dc term in digital holography," Opt. Eng. 36, 2357-2360 (1997).
[CrossRef]

Kreuzer, H. J.

W. Xu, M. H. Jericho, I. A. Meinertzhagen, and H. J. Kreuzer, "Digital in-line holography for biological applications," Proc. Natl. Acad. Sci. USA 98, 11301-11305 (2001).
[CrossRef]

Kronrod, M. A.

M. A. Kronrod, N. S. Merzlyakov, and L. P. Yaroslavskii, "Reconstruction of a hologram with a computer," Sov. Phys. Tech. Phys. 17, 333-334 (1972).

Kubota, T.

Lai, S.

S. Lai and M. A. Neifeld, "Digital wavefront reconstruction and its application to image encryption," Opt. Commun. 178, 283-289 (2000).
[CrossRef]

Lebrun, D.

Legros, J.-C.

Leith, E. N.

Liu, Z.

Z. Liu, G. J. Steckman, and D. Psaltis, "Holographic recording of fast phenomena," Appl. Phys. Lett. 80, 731-733 (2002).
[CrossRef]

Lu, Q.

Y. Zhang, Q. Lu, and B. Ge, "Elimination of zero-order diffraction in digital off-axis holography," Opt. Commun. 240, 261-267 (2004).
[CrossRef]

Magro, C.

Malek, M.

Marquet, P.

Massig, J. H.

Matoba, O.

Meinertzhagen, I. A.

W. Xu, M. H. Jericho, I. A. Meinertzhagen, and H. J. Kreuzer, "Digital in-line holography for biological applications," Proc. Natl. Acad. Sci. USA 98, 11301-11305 (2001).
[CrossRef]

Meng, H.

Merzlyakov, N. S.

M. A. Kronrod, N. S. Merzlyakov, and L. P. Yaroslavskii, "Reconstruction of a hologram with a computer," Sov. Phys. Tech. Phys. 17, 333-334 (1972).

Miao, J.

Morimoto, Y.

Y. Morimoto, T. Nomura, M. Fujigaki, S. Yoneyama, and I. Takahashi, "Deformation measurement by phase-shifting digital holography," Exp. Mech. 45, 65-70 (2005).
[CrossRef]

Murata, S.

S. Murata and N. Yasuda, "Potential of digital holography in particle measurement," Opt. Laser Technol. 32, 567-574 (2000).
[CrossRef]

Naughton, T.

Naughton, T. J.

Neifeld, M. A.

S. Lai and M. A. Neifeld, "Digital wavefront reconstruction and its application to image encryption," Opt. Commun. 178, 283-289 (2000).
[CrossRef]

Nomura, T.

Y. Morimoto, T. Nomura, M. Fujigaki, S. Yoneyama, and I. Takahashi, "Deformation measurement by phase-shifting digital holography," Exp. Mech. 45, 65-70 (2005).
[CrossRef]

B. Javidi and T. Nomura, "Securing information by use of digital holography," Opt. Lett. 25, 28-30 (2000).

Ohta, S.

I. Yamaguchi, S. Ohta, and J. Kato, "Image formation in phase-shifting digital holography and applications to microscopy," Appl. Opt. 40, 6177-6186 (2001).

I. Yamaguchi, J. Kato, and S. Ohta, "Surface shape measurement by phase-shifting digital holography," Opt. Rev. 8, 85-89 (2001).
[CrossRef]

Ohzu, H.

Onural, L.

L. Onural and P. D. Scott, "Digital decording of in-line holograms," Opt. Eng. 26, 1124-1132 (1987).

Özkul, C.

Pan, G.

Pedrini, G.

Peng, X.

Piano, E.

Pierattini, G.

Plerattini, G.

Pontiggia, C.

Psaltis, D.

Z. Liu, G. J. Steckman, and D. Psaltis, "Holographic recording of fast phenomena," Appl. Phys. Lett. 80, 731-733 (2002).
[CrossRef]

Repetto, L.

Sasada, M.

Schnars, U.

Scott, P. D.

L. Onural and P. D. Scott, "Digital decording of in-line holograms," Opt. Eng. 26, 1124-1132 (1987).

Sebesta, M.

Stadelmaier, A.

Steckman, G. J.

Z. Liu, G. J. Steckman, and D. Psaltis, "Holographic recording of fast phenomena," Appl. Phys. Lett. 80, 731-733 (2002).
[CrossRef]

Tajahuerce, E.

Takahashi, I.

Y. Morimoto, T. Nomura, M. Fujigaki, S. Yoneyama, and I. Takahashi, "Deformation measurement by phase-shifting digital holography," Exp. Mech. 45, 65-70 (2005).
[CrossRef]

Takaki, Y.

Tiziani, H. J.

Upatnieks, J.

Xu, L.

Xu, W.

W. Xu, M. H. Jericho, I. A. Meinertzhagen, and H. J. Kreuzer, "Digital in-line holography for biological applications," Proc. Natl. Acad. Sci. USA 98, 11301-11305 (2001).
[CrossRef]

Yamaguchi, I.

Yaroslavskii, L. P.

M. A. Kronrod, N. S. Merzlyakov, and L. P. Yaroslavskii, "Reconstruction of a hologram with a computer," Sov. Phys. Tech. Phys. 17, 333-334 (1972).

Yasuda, N.

S. Murata and N. Yasuda, "Potential of digital holography in particle measurement," Opt. Laser Technol. 32, 567-574 (2000).
[CrossRef]

Yoneyama, S.

Y. Morimoto, T. Nomura, M. Fujigaki, S. Yoneyama, and I. Takahashi, "Deformation measurement by phase-shifting digital holography," Exp. Mech. 45, 65-70 (2005).
[CrossRef]

Zhang, T.

Zhang, Y.

Y. Zhang, Q. Lu, and B. Ge, "Elimination of zero-order diffraction in digital off-axis holography," Opt. Commun. 240, 261-267 (2004).
[CrossRef]

Appl. Opt. (18)

U. Schnars and W. Jüptner, "Direct recording of holograms by a CCD target and numerical reconstruction," Appl. Opt. 33, 179-181 (1994).

G. Pedrini, P. Froning, H. Fessler, and H. J. Tiziani, "In-line digital holographic interferometry," Appl. Opt. 37, 6262-6269 (1998).

F. Dubois, L. Joannes, and J.-C. Legros, "Improved three-dimensional imaging with a digital holography microscope with a source of partial spatial coherence," Appl. Opt. 38, 7085-7094 (1999).

Y. Takaki, H. Kawai, and H. Ohzu, "Hybrid-holographic microscopy free of conjugate and zero-order images," Appl. Opt. 38, 4990-4996 (1999).

E. Cuche, P. Marquet, and C. Depeursinge, "Spatial filtering for zero-order and twin-image elimination in digital off-axis holography," Appl. Opt. 39, 4070-4075 (2000).

E. Tajahuerce and B. Javidi, "Encrypting three-dimensional information with digital holography," Appl. Opt. 39, 6595-6601 (2000).

E. Tajahuerce, O. Matoba, and B. Javidi, "Shift-invariant three-dimensional object recognition by means of digital holography," Appl. Opt. 40, 3877-3886 (2001).

Y. Frauel, E. Tajahuerce, M. Castro, and B. Javidi, "Distortion-tolerant three-dimensional object recognition with digital holography," Appl. Opt. 40, 3887-3893 (2001).

L. Xu, X. Peng, J. Miao, and A. K. Asundi, "Studies of digital microscopic holography with applications to microstructure testing," Appl. Opt. 40, 5046-5051 (2001).

I. Yamaguchi, S. Ohta, and J. Kato, "Image formation in phase-shifting digital holography and applications to microscopy," Appl. Opt. 40, 6177-6186 (2001).

T. J. Naughton, Y. Frauel, B. Javidi, and E. Tajahuerce, "Compression of digital holograms for three-dimensional object reconstruction and recognition," Appl. Opt. 41, 4124-4132 (2002).

G. Pedrini and H. J. Tiziani, "Short-coherence digital microscopy by use of a lensless holographic imaging system," Appl. Opt. 41, 4489-4496 (2002).

O. Matoba, T. Naughton, Y. Frauel, N. Bertaux, and B. Javidi, "Real-time three-dimensional object reconstruction by use of a phase-encoded digital hologram," Appl. Opt. 41, 6187-6192 (2002).

G. Pan and H. Meng, "Digital holography of particle fields: reconstruction by use of complex amplitude," Appl. Opt. 42, 827-833 (2003).

P. Ferraro, S. De Nicola, A. Finizio, G. Coppola, S. Grilli, C. Magro, and G. Plerattini, "Compensation of the inherent wave front curvature in digital holographic coherent microscopy for quantitative phase-contrast imaging," Appl. Opt. 42, 1938-1946 (2003).

Y. Frauel, E. Tajahuerce, O. Matoba, M. Castro, and B. Javidi, "Comparison of passive ranging integral imaging and active imaging digital holography for three-dimensional object recognition," Appl. Opt. 43, 452-462 (2004).
[CrossRef]

M. Gustafsson and M. Sebesta, "Refractometry of microscopic objects with digital holography," Appl. Opt. 43, 4796-4801 (2004).
[CrossRef]

Y. Awatsuji, M. Sasada, A. Fujii, and T. Kubota, "Scheme to improve the reconstructed image in parallel quasi-phase-shifting digital holography," Appl. Opt. 45, 968-974 (2006).
[CrossRef]

Appl. Phys. Lett. (3)

Z. Liu, G. J. Steckman, and D. Psaltis, "Holographic recording of fast phenomena," Appl. Phys. Lett. 80, 731-733 (2002).
[CrossRef]

G. Indebetouw and P. Klysubun, "Space-time digital holography: a three-dimensional microscopic imaging scheme with an arbitrary degree of spatial coherence," Appl. Phys. Lett. 75, 2017-2019 (1999).
[CrossRef]

Y. Awatsuji, M. Sasada, and T. Kubota, "Parallel quasi-phase-shifting digital holography," Appl. Phys. Lett. 85, 1069-1071 (2004).
[CrossRef]

Exp. Mech. (1)

Y. Morimoto, T. Nomura, M. Fujigaki, S. Yoneyama, and I. Takahashi, "Deformation measurement by phase-shifting digital holography," Exp. Mech. 45, 65-70 (2005).
[CrossRef]

J. Opt. Soc. Am. (1)

J. Opt. Soc. Am. A (2)

Nature (1)

D. Gabor, "A new microscopic principle," Nature (London) 161, 777-778 (1948).

Opt. Commun. (2)

S. Lai and M. A. Neifeld, "Digital wavefront reconstruction and its application to image encryption," Opt. Commun. 178, 283-289 (2000).
[CrossRef]

Y. Zhang, Q. Lu, and B. Ge, "Elimination of zero-order diffraction in digital off-axis holography," Opt. Commun. 240, 261-267 (2004).
[CrossRef]

Opt. Eng. (2)

L. Onural and P. D. Scott, "Digital decording of in-line holograms," Opt. Eng. 26, 1124-1132 (1987).

T. M. Kreis and W. P. O. Jüptner, "Suppression of the dc term in digital holography," Opt. Eng. 36, 2357-2360 (1997).
[CrossRef]

Opt. Express (2)

Opt. Laser Technol. (1)

S. Murata and N. Yasuda, "Potential of digital holography in particle measurement," Opt. Laser Technol. 32, 567-574 (2000).
[CrossRef]

Opt. Lett. (12)

B. Javidi and T. Nomura, "Securing information by use of digital holography," Opt. Lett. 25, 28-30 (2000).

G. Indebetouw and P. Klysubun, "Imaging through scattering media with depth resolution by use of low-coherence gating in spatiotemporal digital holography," Opt. Lett. 25, 212-214 (2000).

B. Javidi and E. Tajahuerce, "Three-dimensional object recognition by use of digital holography," Opt. Lett. 25, 610-612 (2000).

O. Matoba and B. Javidi, "Optical retrieval of encrypted digital holograms for secure real-time display," Opt. Lett. 27, 321-323 (2002).

Y. Frauel and B. Javidi, "Neural network for three-dimensional object recognition based on digital holography," Opt. Lett. 26, 1478-1480 (2001).

I. Yamaguchi and T. Zhang, "Phase-shifting digital holography," Opt. Lett. 22, 1268-1270 (1997).

T. Zhang and I. Yamaguchi, "Three-dimensional microscopy with phase-shifting digital holography," Opt. Lett. 23, 1221-1223 (1998).

A. Stadelmaier and J. H. Massig, "Compensation of lens aberrations in digital holography," Opt. Lett. 25, 1630-1632 (2000).

S. Kishk and B. Javidi, "Watermarking of three-dimensional objects by digital holography," Opt. Lett. 28, 167-169 (2003).

P. Ferraro, G. Coppola, S. De Nicola, A. Finizio, and G. Pierattini, "Digital holographic microscope with automatic focus tracking by detecting sample displacement in real time," Opt. Lett. 28, 1257-1259 (2003).

P. Guo and A. J. Devaney, "Digital microscopy using phase-shifting digital holography with two reference waves," Opt. Lett. 29, 857-859 (2004).
[CrossRef]

L. Repetto, E. Piano, and C. Pontiggia, "Lensless digital holographic microscope with diode illumination," Opt. Lett. 29, 1132-1134 (2004).
[CrossRef]

Opt. Rev. (1)

I. Yamaguchi, J. Kato, and S. Ohta, "Surface shape measurement by phase-shifting digital holography," Opt. Rev. 8, 85-89 (2001).
[CrossRef]

Proc. Natl. Acad. Sci. USA (1)

W. Xu, M. H. Jericho, I. A. Meinertzhagen, and H. J. Kreuzer, "Digital in-line holography for biological applications," Proc. Natl. Acad. Sci. USA 98, 11301-11305 (2001).
[CrossRef]

Sov. Phys. Tech. Phys. (1)

M. A. Kronrod, N. S. Merzlyakov, and L. P. Yaroslavskii, "Reconstruction of a hologram with a computer," Sov. Phys. Tech. Phys. 17, 333-334 (1972).

Other (2)

See, for example, J. W. Goodman, Introduction to Fourier Optics, 2nd ed. (McGraw-Hill, 1996).

B.Javidi and F.Okano, eds., Three-Dimensional Television, Video, and Display Technologies (Springer-Verlag, 2002).

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