Abstract

A method for controlling the size of amplitude and phase images reconstructed from digital holograms by the Fresnel-transform method is proposed and demonstrated. The method can provide a constant reconstruction pixel width in the reconstructed image plane, independent of the recording and reconstruction distance. The proposed method makes it possible to maintain the size of an object for a sequence of digital holograms recorded at different distances and, therefore, to subtract phase maps for an object recorded at different distances. Furthermore, the method solves the problem of superimposition in multiwavelength digital holography for color display and holographic interferometry applications.

© 2004 Optical Society of America

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References

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2004 (1)

2003 (5)

2002 (3)

Allaria, E.

E. Allaria, S. Brugioni, S. DeNicola, P. Ferraro, S. Grilli, and R. Meucci, Opt. Commun. 215, 257 (2003).
[CrossRef]

Baumbach, T.

Brugioni, S.

E. Allaria, S. Brugioni, S. DeNicola, P. Ferraro, S. Grilli, and R. Meucci, Opt. Commun. 215, 257 (2003).
[CrossRef]

Coppola, G.

Dakoff, A.

De Nicola, S.

Demoli, N.

DeNicola, S.

E. Allaria, S. Brugioni, S. DeNicola, P. Ferraro, S. Grilli, and R. Meucci, Opt. Commun. 215, 257 (2003).
[CrossRef]

Ferraro, P.

Finizio, A.

Gass, J.

Grilli, S.

S. De Nicola, P. Ferraro, G. Coppola, A. Finizio, G. Pierattini, and S. Grilli, Opt. Lett. 29, 104 (2004).
[CrossRef] [PubMed]

E. Allaria, S. Brugioni, S. DeNicola, P. Ferraro, S. Grilli, and R. Meucci, Opt. Commun. 215, 257 (2003).
[CrossRef]

Juptner, W.

U. Schnars and W. Juptner, Meas. Sci. Technol. 13, R85 (2002).
[CrossRef]

W. Osten, T. Baumbach, and W. Juptner, Opt. Lett. 27, 1764 (2002).
[CrossRef]

Kato, J.

Kim, M. K.

Matsumura, T.

Meucci, R.

E. Allaria, S. Brugioni, S. DeNicola, P. Ferraro, S. Grilli, and R. Meucci, Opt. Commun. 215, 257 (2003).
[CrossRef]

Osten, W.

Pierattini, G.

Schnars, U.

U. Schnars and W. Juptner, Meas. Sci. Technol. 13, R85 (2002).
[CrossRef]

Torzynski, M.

Vukicevic, D.

Yamaguchi, I.

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Figures (4)

Fig. 1
Fig. 1

Wrapped image phases of a cantilever MEMS from three holograms of a sequence of 314 holograms reconstructed at different distances (a) without and (b) with application of a padding operation.

Fig. 2
Fig. 2

Unwrapped phase of the MEMS at distance (a) d1=115.5 mm, (b) d2=139.5 mm, and (c) d2=139.5 mm with the padding operation. (d) Phase map subtraction between (a) and (c).

Fig. 3
Fig. 3

Ronchi grating reconstructed at different distances: (a) pitch of the grating decreases for longer distances, (b) size is kept unchanged with the padding operation.

Fig. 4
Fig. 4

MWDH: reconstruction of a red hologram (a) without and (b) with padding, (c) reconstruction of a green hologram, (d) red–green–blue combination of the red and green images (b) and (c) gives a yellow image.

Equations (2)

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N2=N1d2/d1,
N2=N1λ2/λ1

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