Abstract

This Letter proposes a new optical architecture based on a double-sideband filter, simultaneously applied at the Fourier plane, for inline digital holography. The proposed architecture not only allows removal of the conjugate images in the reconstruction process but also reduces the distortions that usually appear when using a single-sideband filter. We first introduce the mathematical model that explains the method and then describe the optical setup used for the implementation. The optical system includes a parallel aligned liquid crystal display placed at the Fourier plane that simultaneously filters positive and negative frequencies, when properly combined with linear polarizers. This feature makes the device useful to register dynamic processes. Finally, we tested the setup by registering a holographic movie of microscopic moving objects placed at different planes.

© 2015 Optical Society of America

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References

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2014 (1)

2010 (1)

2009 (1)

2005 (1)

2002 (1)

U. Schnars and W. P. O. Jüptner, Meas. Sci. Technol. 13, R85 (2002).
[Crossref]

2001 (1)

2000 (1)

1999 (1)

1998 (1)

1997 (1)

1968 (1)

1966 (1)

1965 (1)

1962 (1)

1948 (1)

D. Gabor, Nature 161, 777 (1948).
[Crossref]

Andres, N.

Arroyo, M. P.

Bryngdahl, O.

Campos, J.

Cuche, E.

De Nicola, S.

Depeursinge, C.

DeVelis, J. B.

Ferrano, P.

Fessler, H.

Finizio, A.

Fröning, P.

Gabor, D.

D. Gabor, Nature 161, 777 (1948).
[Crossref]

Grilli, S.

Hennelly, B. M.

B. M. Hennelly, D. P. Kelly, N. Pandey, and D. Monaghan, Proceedings of the China–Ireland Information and Communications Technologies Conference (National University of Ireland Maynooth, 2009), pp. 241–245.

Iemmi, C.

Jüptner, W. P. O.

U. Schnars and W. P. O. Jüptner, Meas. Sci. Technol. 13, R85 (2002).
[Crossref]

Kelly, D. P.

B. M. Hennelly, D. P. Kelly, N. Pandey, and D. Monaghan, Proceedings of the China–Ireland Information and Communications Technologies Conference (National University of Ireland Maynooth, 2009), pp. 241–245.

Kreis, T.

T. Kreis, Handbook of Holographic Interferometry (Wiley-VCH Verlag GmbH, 2005), pp. 81–92.

Leith, E. N.

Lizana, A.

Lobato, L.

Lobera, J.

Lohmann, A.

Marquet, P.

Marquez, A.

Meucci, R.

Mishina, T.

Monaghan, D.

B. M. Hennelly, D. P. Kelly, N. Pandey, and D. Monaghan, Proceedings of the China–Ireland Information and Communications Technologies Conference (National University of Ireland Maynooth, 2009), pp. 241–245.

Moreno, I.

Okano, F.

Osten, W.

Palero, V.

Pandey, N.

B. M. Hennelly, D. P. Kelly, N. Pandey, and D. Monaghan, Proceedings of the China–Ireland Information and Communications Technologies Conference (National University of Ireland Maynooth, 2009), pp. 241–245.

Parrent, G. B.

Pedrini, G.

Pierattini, G.

Rodange, Y.

Schnars, U.

U. Schnars and W. P. O. Jüptner, Meas. Sci. Technol. 13, R85 (2002).
[Crossref]

Takaki, Y.

Tanemoto, Y.

Thompson, B. J.

Tiziani, H. J.

Upatnieks, J.

Yamaguchi, I.

Yuyama, I.

Zhang, T.

Zhang, Y.

Appl. Opt. (4)

J. Opt. Soc. Am. (4)

Meas. Sci. Technol. (1)

U. Schnars and W. P. O. Jüptner, Meas. Sci. Technol. 13, R85 (2002).
[Crossref]

Nature (1)

D. Gabor, Nature 161, 777 (1948).
[Crossref]

Opt. Express (2)

Opt. Lett. (3)

Other (2)

T. Kreis, Handbook of Holographic Interferometry (Wiley-VCH Verlag GmbH, 2005), pp. 81–92.

B. M. Hennelly, D. P. Kelly, N. Pandey, and D. Monaghan, Proceedings of the China–Ireland Information and Communications Technologies Conference (National University of Ireland Maynooth, 2009), pp. 241–245.

Supplementary Material (1)

NameDescription
» Visualization 1: AVI (14602 KB)      Reconstruction of a holographic movie of a dynamic object.

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Figures (6)

Fig. 1.
Fig. 1. Inline configuration used to illustrate the technique based on sideband filters.
Fig. 2.
Fig. 2. (a) Optical architecture proposed to implement the technique based on double-sideband filters and (b) sketch of the optical arrangement used to implement the double-sideband filter.
Fig. 3.
Fig. 3. Experimental setup.
Fig. 4.
Fig. 4. (a) Upper and (b) lower sideband holograms acquired by CCD cameras.
Fig. 5.
Fig. 5. Reconstruction of focused image of (a) the micrometric reticle ( z = 30 mm ) and (b) microspheres ( z = 31 mm ).
Fig. 6.
Fig. 6. Reconstruction of a holographic movie of a dynamic object (see Visualization 1).

Equations (7)

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U 0 ( x , y ) = 1 + Δ U 0 ( x , y ) ,
U ˜ o ( μ , ν ) = δ ( μ , ν ) + Δ U ˜ o ( μ , ν ) ,
U CCD + = 1 2 + 0 d μ Δ U ˜ o ( μ , ν ) exp [ i 2 π ( μ x + ν y ) ] d ν ,
I CCD + = | U CCD + | 2 1 4 + 1 2 0 d μ Δ U ˜ o ( μ , ν ) e i 2 π ( μ x + ν y ) d ν A + + 1 2 0 d μ Δ U ˜ o * ( μ , ν ) e i 2 π ( μ x + ν y ) d ν B + ,
| U CCD + | 2 = 1 4 + 1 2 0 d μ Δ U ˜ o ( μ , ν ) e i 2 π ( μ x + ν y ) d ν ,
| U CCD | + 2 = 1 4 + 1 2 0 d μ Δ U ˜ o ( μ , ν ) e i 2 π ( μ x + ν y ) d ν ,
| U CCD + | 2 + | U CCD | + 2 = 1 2 + 1 2 0 d μ Δ U ˜ o ( μ , ν ) e i 2 π ( μ x + ν y ) d ν + 1 2 0 d μ Δ U ˜ o ( μ , ν ) e i 2 π ( μ x + ν y ) d ν = 1 2 + 1 2 Δ U o ( x , y ) = 1 2 U o ( x , y ) .

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