Abstract

A method for image formation through inhomogeneities is demonstrated. A broad spectral source is decomposed into its Fourier components, and a hologram is recorded at each wavelength through a diffusing medium. When the holograms are synthesized in a computer, a clear image can be formed of the obscured object.

© 1993 Optical Society of America

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References

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    [CrossRef] [PubMed]
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1993 (1)

1992 (2)

1991 (1)

1990 (1)

J. C. Hebden, R. A. Kruger, Med. Phys. 17, 351 (1990).
[CrossRef] [PubMed]

1989 (2)

N. H. Abramson, K. G. Spears, Appl. Opt. 28, 1834 (1989).
[CrossRef] [PubMed]

K. G. Spears, J. Serafin, N. Abramson, X. Zhu, H. Bjelkhagen, IEEE Trans. Biomed. Eng. 36, 1210 (1989).
[CrossRef] [PubMed]

1986 (1)

1984 (1)

H. J. Gerritsen, Proc. Soc. Photo-Opt. Instrum. Eng. 519, 128 (1984).

1971 (1)

Abramson, N.

K. G. Spears, J. Serafin, N. Abramson, X. Zhu, H. Bjelkhagen, IEEE Trans. Biomed. Eng. 36, 1210 (1989).
[CrossRef] [PubMed]

Abramson, N. H.

Alfano, R. R.

Bjelkhagen, H.

K. G. Spears, J. Serafin, N. Abramson, X. Zhu, H. Bjelkhagen, IEEE Trans. Biomed. Eng. 36, 1210 (1989).
[CrossRef] [PubMed]

Chen, C.

Chen, H.

Chen, Y.

Dilworth, D.

Duguay, M. A.

Gerritsen, H. J.

H. J. Gerritsen, Proc. Soc. Photo-Opt. Instrum. Eng. 519, 128 (1984).

Hebden, J. C.

J. C. Hebden, R. A. Kruger, Med. Phys. 17, 351 (1990).
[CrossRef] [PubMed]

Ho, P. P.

Kruger, R. A.

J. C. Hebden, R. A. Kruger, Med. Phys. 17, 351 (1990).
[CrossRef] [PubMed]

Leith, E.

Lopez, J.

Marron, J. C.

Mattick, A. T.

Rudd, J.

Schroeder, K. S.

Serafin, J.

K. G. Spears, J. Serafin, N. Abramson, X. Zhu, H. Bjelkhagen, IEEE Trans. Biomed. Eng. 36, 1210 (1989).
[CrossRef] [PubMed]

Shentu, L.

Spears, K. G.

N. H. Abramson, K. G. Spears, Appl. Opt. 28, 1834 (1989).
[CrossRef] [PubMed]

K. G. Spears, J. Serafin, N. Abramson, X. Zhu, H. Bjelkhagen, IEEE Trans. Biomed. Eng. 36, 1210 (1989).
[CrossRef] [PubMed]

Sun, P. C.

Valdmanis, J.

Vossler, G.

Wang, L. M.

Zhu, X.

K. G. Spears, J. Serafin, N. Abramson, X. Zhu, H. Bjelkhagen, IEEE Trans. Biomed. Eng. 36, 1210 (1989).
[CrossRef] [PubMed]

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Figures (2)

Fig. 1
Fig. 1

System used for imaging through inhomogeneities with Fourier synthesis holography.

Fig. 2
Fig. 2

Experimental results: (a) original object obscured by two pieces of ground glass, (b) image obtained from the short coherence method, (c) ten rows of the time-delay histogram, (d) best image taken from the histogram.

Equations (6)

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u t = exp ( i 2 π α x ) g ( t 0 ) + l a l ( x ) g ( t 0 + l Δ t ) ,
u t = exp ( i 2 π α x ) m G ( f 0 + m Δ f ) × exp [ i 2 π ( f 0 + m Δ f ) t 0 ] Δ f + m l a l ( x ) G ( f 0 + m Δ f ) × exp [ i 2 π ( f 0 + m Δ f ) ( t 0 + l Δ f ) ] Δ f .
u h = exp ( i 2 π α x ) G ( f 0 + m Δ f ) × exp [ i 2 π ( f 0 + m Δ f ) t 0 ] + l a l ( x ) G ( f 0 + m Δ f ) × exp [ i 2 π ( f 0 + m Δ f ) ( t 0 + l Δ t ) ] .
I int = l a l ( x ) | G ( f 0 + m Δ f ) | 2 × cos [ 2 π α x + 2 π ( f 0 + m Δ f ) l Δ t ] .
a n ( x ) | G ( f 0 + m Δ f ) | 2 + l n a l ( x ) × | G ( f 0 + m Δ f ) | 2 exp [ i 2 π ( f 0 + m Δ f ) ( l n ) Δ t ] .
I irr = | a n ( x ) | 2 | m G ( f 0 + m Δ f ) | 4 ,

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