Abstract

A new method for resolution control in numerical reconstruction of digital holography is proposed. The wave field on a tilted or vertical plane can be reconstructed without being subject to the minimum object-to-hologram distance requirement, and the pixel resolution can be easily controlled by adjusting the position of a transitional plane. The proposed method solves the problem of pixel resolution control for small object-to-hologram distances and is especially useful for multicolor, multiwavelength digital holography and metrological applications. Experimental results are presented to verify the idea.

© 2006 Optical Society of America

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References

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2005

2004

2003

2002

Alfieri, D.

Coppola, G.

Dakoff, A.

De Nicola, S.

Ferraro, P.

Finizio, A.

Gass, J.

Juptner, W.

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

Kato, J.

Kim, M. K.

Matsumura, T.

Nicola, S.

Pierattini, G.

Schnars, U.

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

Yamaguchi, I.

Yaroslavsky, L. P.

Yu, L.

Zhang, F.

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Figures (4)

Fig. 1
Fig. 1

(Color online) (a) Reconstruction of the wave field on a tilted destination plane (DP); (b) resolution control by introducing a transitional plane (TP).

Fig. 2
Fig. 2

Apparatus for the digital interference holography system.

Fig. 3
Fig. 3

(Color online) Reconstruction from the (a) FDF, (b) CM, (c) ASM, and (d) DFTM; (e) and (f) are the reconstructions of the proposed algorithm with the pixel resolutions Δ x o , Δ y o equal to 12.5 and 17.7 μ m , respectively.

Fig. 4
Fig. 4

(Color online) Contour images of the coin at 60 μ m axial distance intervals with (a) θ = 0 ° and (b) θ = 4 ° in reconstruction.

Equations (3)

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E ( x o , y o , z o ) = i E o λ exp [ i k ( r o + z o y o sin θ r o ) ] × o ( x , y ) exp [ i k 2 z o ( x 2 + y 2 ) ] exp [ i k r o ( x o x + y o y cos θ ) ] d x d y ,
Δ x o = λ z N Δ x , Δ y o = λ z N Δ y cos θ ,
Δ x o = λ z 2 N Δ x = z 2 z min Δ x , Δ y o = Δ x o cos θ ,

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