Abstract

We present a method by which the phase and the amplitude of a wave front are obtained by processing a sequence of intensity patterns recorded at different planes. We do not use any reference wave, as one does for holography. Simulations and experimental results are presented.

© 2005 Optical Society of America

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References

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  1. D. Gabor, Nature 161, 777 (1948).
    [CrossRef]
  2. L. P. Yaroslavsky and N. S. Merzyalov, Methods of Digital Holography (Consultants Bureau, New York, 1980).
    [CrossRef]
  3. U. Schnars, J. Opt. Soc. Am. A 11, 2011 (1994).
    [CrossRef]
  4. I. Yamaguchi and T. Zhang, Opt. Lett. 22, 1268 (1997).
    [CrossRef] [PubMed]
  5. G. Pedrini, H. Tiziani, and Y. Zou, Opt. Lasers Eng. 26, 199 (1997).
    [CrossRef]
  6. R. W. Gerchberg and W. O. Saxton, Optik (Stuttgart) 35, 237 (1972).
  7. J. R. Fienup, Appl. Opt. 21, 2758 (1982).
    [CrossRef] [PubMed]
  8. G. Z. Yang, B. Z. Dong, B. Y. Gu, J. Zhuang, and O. K. Ersoy, Appl. Opt. 33, 209 (1994).
    [CrossRef] [PubMed]
  9. Y. Zhang, G. Pedrini, W. Osten, and H. Tiziani, Opt. Express 11, 3234 (2003), http://www@opticsexpress.org.
    [CrossRef] [PubMed]

2003 (1)

1997 (2)

I. Yamaguchi and T. Zhang, Opt. Lett. 22, 1268 (1997).
[CrossRef] [PubMed]

G. Pedrini, H. Tiziani, and Y. Zou, Opt. Lasers Eng. 26, 199 (1997).
[CrossRef]

1994 (2)

1982 (1)

1972 (1)

R. W. Gerchberg and W. O. Saxton, Optik (Stuttgart) 35, 237 (1972).

1948 (1)

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

Dong, B. Z.

Ersoy, O. K.

Fienup, J. R.

Gabor, D.

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

Gerchberg, R. W.

R. W. Gerchberg and W. O. Saxton, Optik (Stuttgart) 35, 237 (1972).

Gu, B. Y.

Merzyalov, N. S.

L. P. Yaroslavsky and N. S. Merzyalov, Methods of Digital Holography (Consultants Bureau, New York, 1980).
[CrossRef]

Osten, W.

Pedrini, G.

Saxton, W. O.

R. W. Gerchberg and W. O. Saxton, Optik (Stuttgart) 35, 237 (1972).

Schnars, U.

Tiziani, H.

Yamaguchi, I.

Yang, G. Z.

Yaroslavsky, L. P.

L. P. Yaroslavsky and N. S. Merzyalov, Methods of Digital Holography (Consultants Bureau, New York, 1980).
[CrossRef]

Zhang, T.

Zhang, Y.

Zhuang, J.

Zou, Y.

G. Pedrini, H. Tiziani, and Y. Zou, Opt. Lasers Eng. 26, 199 (1997).
[CrossRef]

Appl. Opt. (2)

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

Nature (1)

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

Opt. Express (1)

Opt. Lasers Eng. (1)

G. Pedrini, H. Tiziani, and Y. Zou, Opt. Lasers Eng. 26, 199 (1997).
[CrossRef]

Opt. Lett. (1)

Optik (Stuttgart) (1)

R. W. Gerchberg and W. O. Saxton, Optik (Stuttgart) 35, 237 (1972).

Other (1)

L. P. Yaroslavsky and N. S. Merzyalov, Methods of Digital Holography (Consultants Bureau, New York, 1980).
[CrossRef]

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Figures (3)

Fig. 1
Fig. 1

Schematic of the recording arrangement.

Fig. 2
Fig. 2

(a) Original image used for the simulation. (b), (c), (d) Reconstructions of the object obtained after 1, 3, and 20 applications, respectively, of the phase adjustment.

Fig. 3
Fig. 3

(a) Original mask used for the experiment. (b) Phase of the wave front at a distance of 30 mm . (c) Reconstructions of the object obtained from the amplitude (square root of the recorded intensity) and the phase; (d) enlarged detail. (e) Reconstruction of the object obtained from the amplitude only; (f) enlarged detail.

Equations (1)

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U ( x , y , d ) = u 1 u ̂ ( f x , f y ) exp [ i 2 π d λ ( 1 λ 2 f x 2 λ 2 f y 2 ) 1 2 ] exp [ i 2 π ( f x x + f y y ) ] d f x d f y ,

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