Abstract

We investigate the influence of phase-shifting error on the quality of the reconstructed image in digital holography and propose a method of error elimination for a perfect image. In this method the summation of the intensity bit errors of the reconstructed image is taken as an evaluation function for an iterative algorithm to find the exact phase-shifting value. The feasibility of this method is demonstrated by computer simulation.

© 2002 Optical Society of America

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References

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    [CrossRef]

2001 (2)

I. Yamaguchi, J. Kato, S. Ohta, and J. Mizuno, Appl. Opt. 40, 6177 (2001).
[CrossRef]

I. Yamaguchi, S. Ohta, and J. Kato, Opt. Lasers Eng. 36, 417 (2001).
[CrossRef]

2000 (3)

S. Lai and M. A. Neifeld, Opt. Commun. 178, 283 (2000).
[CrossRef]

B. Javidi and E. Tajahuerce, Opt. Lett. 25, 610 (2000).
[CrossRef]

S. Lai, B. King, and M. A. Neifeld, Opt. Commun. 173, 155 (2000).
[CrossRef]

1999 (1)

H. Zhang, M. J. Lalor, and D. R. Burton, Opt. Laser Eng. 31, 381 (1999).
[CrossRef]

1998 (1)

1997 (1)

1995 (1)

1994 (1)

1983 (1)

1967 (1)

J. W. Goodman and R. W. Lawrence, Appl. Phys. Lett. 11, 77 (1967).
[CrossRef]

Burow, R.

Burton, D. R.

H. Zhang, M. J. Lalor, and D. R. Burton, Opt. Laser Eng. 31, 381 (1999).
[CrossRef]

Creath, K.

Elssner, K.-E.

Goodman, J. W.

J. W. Goodman and R. W. Lawrence, Appl. Phys. Lett. 11, 77 (1967).
[CrossRef]

Grzanna, J.

Javidi, B.

Juptner, W.

Kato, J.

I. Yamaguchi, J. Kato, S. Ohta, and J. Mizuno, Appl. Opt. 40, 6177 (2001).
[CrossRef]

I. Yamaguchi, S. Ohta, and J. Kato, Opt. Lasers Eng. 36, 417 (2001).
[CrossRef]

King, B.

S. Lai, B. King, and M. A. Neifeld, Opt. Commun. 173, 155 (2000).
[CrossRef]

Lai, S.

S. Lai, B. King, and M. A. Neifeld, Opt. Commun. 173, 155 (2000).
[CrossRef]

S. Lai and M. A. Neifeld, Opt. Commun. 178, 283 (2000).
[CrossRef]

Lalor, M. J.

H. Zhang, M. J. Lalor, and D. R. Burton, Opt. Laser Eng. 31, 381 (1999).
[CrossRef]

Lawrence, R. W.

J. W. Goodman and R. W. Lawrence, Appl. Phys. Lett. 11, 77 (1967).
[CrossRef]

Merkel, K.

Mizuno, J.

Neifeld, M. A.

S. Lai and M. A. Neifeld, Opt. Commun. 178, 283 (2000).
[CrossRef]

S. Lai, B. King, and M. A. Neifeld, Opt. Commun. 173, 155 (2000).
[CrossRef]

Ohta, S.

I. Yamaguchi, J. Kato, S. Ohta, and J. Mizuno, Appl. Opt. 40, 6177 (2001).
[CrossRef]

I. Yamaguchi, S. Ohta, and J. Kato, Opt. Lasers Eng. 36, 417 (2001).
[CrossRef]

Schmit, J.

Schnars, U.

Schwider, J.

Spolaczyk, R.

Tajahuerce, E.

Yamaguchi, I.

Zhang, H.

H. Zhang, M. J. Lalor, and D. R. Burton, Opt. Laser Eng. 31, 381 (1999).
[CrossRef]

Zhang, T.

Appl. Opt. (4)

Appl. Phys. Lett. (1)

J. W. Goodman and R. W. Lawrence, Appl. Phys. Lett. 11, 77 (1967).
[CrossRef]

Opt. Commun. (2)

S. Lai and M. A. Neifeld, Opt. Commun. 178, 283 (2000).
[CrossRef]

S. Lai, B. King, and M. A. Neifeld, Opt. Commun. 173, 155 (2000).
[CrossRef]

Opt. Laser Eng. (1)

H. Zhang, M. J. Lalor, and D. R. Burton, Opt. Laser Eng. 31, 381 (1999).
[CrossRef]

Opt. Lasers Eng. (1)

I. Yamaguchi, S. Ohta, and J. Kato, Opt. Lasers Eng. 36, 417 (2001).
[CrossRef]

Opt. Lett. (3)

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Figures (4)

Fig. 1
Fig. 1

Experimental setup for phase-shifting digital holography.

Fig. 2
Fig. 2

(a) Phase-contrast pattern of a pure-phase object. (b) One of the digital in-line holograms of this object recorded by a CCD camera.

Fig. 3
Fig. 3

Phase-contrast images of the digital reconstructed waves on the original object plane (a) before and (b) after elimination of the phase-shifting error.

Fig. 4
Fig. 4

Dependence of the amplitude deviation, ΔE, of the reconstructed wave on different phase-shifting θd used in reconstruction.

Equations (7)

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Ux,y=F-1FUox,y×Pu,v=Ax,yexpiφx,y,
Pu,v=exp-iπλdu2+v2
I1-I3-I4-exp-iθI2-I3-I4I31-exp-i2θ=Ax,yexpiφx,y.
I1-I3-I4-exp-iθdI2-I3-I4I31-exp-i2θd=1-iΔθ1-exp-i2θdA expiφx,y-iΔθ1-exp-i2θdA exp-iφx,y.
F-1FUx,y×P-1u,v=Aox,y×expiφox,y+δx,y,
Ao expiδ=1-iΔθ2-iΔθ2exp-iφoF-1×FA exp-iφ×P-1u,v.
ΔE=m,nAmn-C2,

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