Abstract

We investigated a method for the angular multiplexing and demultiplexing of digital holograms recorded in microscope off-axis configuration. The multiplexing has been performed rotating numerically one hologram at different angles and adding all the rotated holograms to obtain a single synthetic digital hologram. Then the digital holograms were de-multiplexed thanks to the unique property of the digital holography to manage numerically the complex wavefields at different image planes. We show that it is possible to retrieve correctly quantitative information about the amplitude and phase maps. The obtained results can be useful to employ the multiplexing technique during the recording process by rotating the CCD array.

© 2009 Optical Society of America

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    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
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    [CrossRef]
  10. C. Yuan, H. Zhai, and H. Liu, "Angular multiplexing in pulsed digital holography for aperture synthesis," Opt. Lett. 33, 2356-2358 (2008), http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-33-20-2356.
    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]

2008 (4)

2007 (3)

2006 (3)

2005 (1)

2004 (1)

2003 (2)

2002 (3)

Alexandrov, S. A.

S. A. Alexandrov, T. R. Hillman, T. Gutzler, and D. D. Sampson, "Synthetic Aperture Fourier Holographic Optical Microscopy," Phys. Rev. Lett. 97, 168102 (2006).
[CrossRef] [PubMed]

Alfieri, D.

Bo, F.

C. Liu, Z. Liu, F. Bo, Y. Wang, and J. Zhu "Super-resolution digital holographic imaging method," Appl. Phys. Lett. 81, 3143 (2002).
[CrossRef]

Brueck, S. R.

Centurion, M.

Charrière, F.

Colomb, T.

Coppola, G.

Cuche, E.

De Nicola, S.

Demoli, N.

Depeursinge, C.

Dürr, F.

Emery, Y.

Ferraro, P.

Finizio, A.

Gabolde, P.

Grill, S.

Grilli, S.

Gutzler, T.

S. A. Alexandrov, T. R. Hillman, T. Gutzler, and D. D. Sampson, "Synthetic Aperture Fourier Holographic Optical Microscopy," Phys. Rev. Lett. 97, 168102 (2006).
[CrossRef] [PubMed]

Hillman, T. R.

S. A. Alexandrov, T. R. Hillman, T. Gutzler, and D. D. Sampson, "Synthetic Aperture Fourier Holographic Optical Microscopy," Phys. Rev. Lett. 97, 168102 (2006).
[CrossRef] [PubMed]

Hong, J.

Javidi, B.

Kühn, J.

Kuznetsova, Y.

Laporta, P.

Limberger, H. G.

Liu, C.

C. Liu, Z. Liu, F. Bo, Y. Wang, and J. Zhu "Super-resolution digital holographic imaging method," Appl. Phys. Lett. 81, 3143 (2002).
[CrossRef]

Liu, H.

Liu, Z.

Marquet, P.

Memmolo, P.

Merola, F.

Miccio, L.

Moisson, E.

Montfort, F.

Mounier, D.

Mu, G.

Neumann, A.

Osellame, R.

Panotopoulos, G.

Paturzo, M.

Picart, P.

Pierattini, G.

Psaltis, D.

Salathé, R. -P.

Sampson, D. D.

S. A. Alexandrov, T. R. Hillman, T. Gutzler, and D. D. Sampson, "Synthetic Aperture Fourier Holographic Optical Microscopy," Phys. Rev. Lett. 97, 168102 (2006).
[CrossRef] [PubMed]

Torzynski, M.

Trebino, R.

Tulino, A.

Vukicevic, D.

Wang, X.

Wang, Y.

C. Liu, Z. Liu, F. Bo, Y. Wang, and J. Zhu "Super-resolution digital holographic imaging method," Appl. Phys. Lett. 81, 3143 (2002).
[CrossRef]

Yamaguchi,

Yuan, C.

Zhai, H.

Zhu, J.

C. Liu, Z. Liu, F. Bo, Y. Wang, and J. Zhu "Super-resolution digital holographic imaging method," Appl. Phys. Lett. 81, 3143 (2002).
[CrossRef]

Appl. Opt. (2)

Appl. Phys. Lett. (1)

C. Liu, Z. Liu, F. Bo, Y. Wang, and J. Zhu "Super-resolution digital holographic imaging method," Appl. Phys. Lett. 81, 3143 (2002).
[CrossRef]

J. Opt. Soc. Am. A (1)

Opt. Express (6)

M. Paturzo, F. Merola, S. Grill1, S. De Nicola, A. Finizio, and P. Ferraro "Enhanced super-resolution in digital holography by a dynamic phase grating,"Opt. Express 16, 17107-17118 (2008).
[CrossRef] [PubMed]

P. Gabolde and R. Trebino, "Single-shot measurement of the full spatio-temporal field of ultrashort pulses with multi-spectral digital holography," Opt. Express 14, 11460-11467 (2006), http://www.opticsinfobase.org/abstract.cfm?URI=oe-14-23-11460.
[CrossRef] [PubMed]

Y. Kuznetsova, A. Neumann, and S. R. Brueck, "Imaging interferometric microscopy-approaching the linear systems limits of optical resolution," Opt. Express 15, 6651-6663 (2007), http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-15-11-6651.
[CrossRef] [PubMed]

J. Kühn, T. Colomb, F. Montfort, F. Charrière, Y. Emery, E. Cuche, P. Marquet, and C. Depeursinge, "Real-time dual-wavelength digital holographic microscopy with a single hologram acquisition," Opt. Express 15, 7231-7242 (2007), http://www.opticsinfobase.org/abstract.cfm?URI=oe-15-12-7231.
[CrossRef] [PubMed]

P. Ferraro, L. Miccio, S. Grilli, M. Paturzo, S. De Nicola, A. Finizio, R. Osellame, and P. Laporta, "Quantitative Phase Microscopy of microstructures with extended measurement range and correction of chromatic aberrations by multiwavelength digital holography," Opt. Express 15, 14591-14600 (2007), http://www.opticsinfobase.org/abstract.cfm?URI=oe-15-22-14591.
[CrossRef] [PubMed]

N. Demoli, D. Vukicevic, and M. Torzynski, "Dynamic digital holographic interferometry with three wavelengths," Opt. Express 11, 767-774 (2003), http://www.opticsinfobase.org/abstract.cfm?URI=oe-11-7-767.
[CrossRef] [PubMed]

Opt. Lett. (6)

P. Ferraro, S. De Nicola, G. Coppola, A. Finizio, D. Alfieri, and G. Pierattini, "Controlling image size as a function of distance and wavelength in Fresnel-transform reconstruction of digital holograms," Opt. Lett. 29, 854-856 (2004), http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-29-8-854.
[CrossRef] [PubMed]

X. Wang, H. Zhai, and G. Mu, "Pulsed digital holography system recording ultrafast process of the femtosecond order," Opt. Lett. 31, 1636-1638 (2006), http://www.opticsinfobase.org/abstract.cfm?URI=ol-31-11-1636.
[CrossRef] [PubMed]

Z. Liu, M. Centurion, G. Panotopoulos, J. Hong, and D. Psaltis, "Holographic recording of fast events on a CCD camera," Opt. Lett. 27, 22-24 (2002), http://www.opticsinfobase.org/abstract.cfm?URI=ol-27-1-22.
[CrossRef]

Yamaguchi, T. Matsumura, and J.-i. Kato, "Phase-shifting color digital holography," Opt. Lett. 27, 1108-1110 (2002), http://www.opticsinfobase.org/abstract.cfm?URI=ol-27-13-1108.
[CrossRef]

C. Yuan, H. Zhai, and H. Liu, "Angular multiplexing in pulsed digital holography for aperture synthesis," Opt. Lett. 33, 2356-2358 (2008), http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-33-20-2356.
[CrossRef] [PubMed]

M. Paturzo, P. Memmolo, L. Miccio, A. Finizio, P. Ferraro, A. Tulino, and B. Javidi, "Numerical multiplexing and demultiplexing of digital holographic information for remote reconstruction in amplitude and phase," Opt. Lett. 33, 2629-2631 (2008), http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-33-22-2629.
[CrossRef] [PubMed]

Phys. Rev. Lett. (1)

S. A. Alexandrov, T. R. Hillman, T. Gutzler, and D. D. Sampson, "Synthetic Aperture Fourier Holographic Optical Microscopy," Phys. Rev. Lett. 97, 168102 (2006).
[CrossRef] [PubMed]

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Figures (12)

Fig. 1.
Fig. 1.

Multiplexed synthetic hologram obtained adding five rotated holograms.

Fig. 2.
Fig. 2.

Amplitude reconstruction of the multiplexed hologram in the image plane. The inset shows the Fourier transform amplitude of the same hologram.

Fig. 3.
Fig. 3.

Amplitude reconstruction of the multiplexed hologram in the BFP. The red frames indicate the circular filtering windows used to de-multiplex the holograms.

Fig. 4.
Fig. 4.

Amplitude reconstruction for one filtered hologram in the image plane. Several replicas of the reconstructed image appear.

Fig. 5.
Fig. 5.

Amplitude reconstruction for one filtered hologram in the BFP. The same mask employed in the de-multiplexing process is applied to filter the replicas.

Fig. 6.
Fig. 6.

Final amplitude and phase reconstructions of one filtered hologram after the demultiplexing process by rotation in the hologram plane.

Fig. 7.
Fig. 7.

Amplitude and phase reconstructions of one hologram as acquired by the CCD.

Fig. 8.
Fig. 8.

Final amplitude and phase reconstructions of one filtered hologram after the demultiplexing process by rotation in the image plane.

Fig. 9.
Fig. 9.

Profiles concerning the phase reconstructions obtained by the first (a) and the second (b) de-multiplexing technique, respectively.

Fig. 10.
Fig. 10.

The multiplexed holograms (a,b) and their amplitude reconstruction in the image plane (c,d) and in the BFP (e,f) obtained using the OM (a,c,e) and the NM (b,d,f) technique, respectively.

Fig. 11.
Fig. 11.

Phase profiles across the wall of the hexagonal domain (along the line in phase reconstructions in the left-corner inset) for holograms multiplexed by rotating the CCD (a) and by the numerical multiplexing (b). In the right-corner inset are shown the amplitude reconstructions.

Fig. 12.
Fig. 12.

Graph of the phase standard deviation vs. the number of multiplexed holograms.

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