Abstract

We describe a method where the wavefront emitted by a self-luminous object is superimposed to its filtered counterpart by using a Mach–Zehnder interferometer. The amplitude and phase of the resulting interference pattern is used for digital three-dimensional imaging. Experimental results are presented.

© 2012 Optical Society of America

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References

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2011 (1)

D. P. Kelly, J. J. Healy, B. M. Hennelly, and J. T. Sheridan, J. Eur. Opt. Soc. 6, 11034 (2011).
[CrossRef]

2009 (1)

D. P. Kelly, B. M. Hennelly, N. Pandey, T. J. Naughton, and W. T. Rhodes, Opt. Eng. 48, 095801 (2009).
[CrossRef]

2008 (2)

2007 (1)

2006 (1)

1999 (1)

1997 (2)

1994 (1)

1966 (1)

G. Cochran, J. Opt. Soc. Am. A 56, 1513 (1966).
[CrossRef]

1965 (1)

1948 (1)

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

Brooker, G.

J. Rosen and G. Brooker, Nat. Photon. 2, 190 (2008).
[CrossRef]

J. Rosen and G. Brooker, Opt. Lett. 32, 912 (2007).
[CrossRef]

Cochran, G.

G. Cochran, J. Opt. Soc. Am. A 56, 1513 (1966).
[CrossRef]

Colomb, T.

Cuche, E.

De Charriére, F.

Depeursinge, C.

Dubois, F.

Gabor, D.

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

Gopinathan, U.

Healy, J. J.

D. P. Kelly, J. J. Healy, B. M. Hennelly, and J. T. Sheridan, J. Eur. Opt. Soc. 6, 11034 (2011).
[CrossRef]

Hennelly, B. M.

D. P. Kelly, J. J. Healy, B. M. Hennelly, and J. T. Sheridan, J. Eur. Opt. Soc. 6, 11034 (2011).
[CrossRef]

D. P. Kelly, B. M. Hennelly, N. Pandey, T. J. Naughton, and W. T. Rhodes, Opt. Eng. 48, 095801 (2009).
[CrossRef]

Indebetouw, G.

Joannes, L.

Kelly, D. P.

D. P. Kelly, J. J. Healy, B. M. Hennelly, and J. T. Sheridan, J. Eur. Opt. Soc. 6, 11034 (2011).
[CrossRef]

D. P. Kelly, B. M. Hennelly, N. Pandey, T. J. Naughton, and W. T. Rhodes, Opt. Eng. 48, 095801 (2009).
[CrossRef]

Kuehn, J.

Legros, J.-C.

Lohmann, A. W.

Marian, A.

Marquet, P.

Montfort, F.

Naughton, T. J.

D. P. Kelly, B. M. Hennelly, N. Pandey, T. J. Naughton, and W. T. Rhodes, Opt. Eng. 48, 095801 (2009).
[CrossRef]

Osten, W.

Pandey, N.

D. P. Kelly, B. M. Hennelly, N. Pandey, T. J. Naughton, and W. T. Rhodes, Opt. Eng. 48, 095801 (2009).
[CrossRef]

Pedrini, G.

Poon, T.-C.

Rhodes, W. T.

D. P. Kelly, B. M. Hennelly, N. Pandey, T. J. Naughton, and W. T. Rhodes, Opt. Eng. 48, 095801 (2009).
[CrossRef]

Rosen, J.

J. Rosen and G. Brooker, Nat. Photon. 2, 190 (2008).
[CrossRef]

J. Rosen and G. Brooker, Opt. Lett. 32, 912 (2007).
[CrossRef]

Schilling, B.

Schnars, U.

Sheridan, J. T.

D. P. Kelly, J. J. Healy, B. M. Hennelly, and J. T. Sheridan, J. Eur. Opt. Soc. 6, 11034 (2011).
[CrossRef]

Shinoda, K.

Storrie, B.

Suzuki, Y.

Wu, M. H.

Yamaguchi, I.

Yaroslavsky, L.

L. Yaroslavsky, Digital Holography and Digital Image Processing: Principles, Methods, Algorithms (Kluwer Academic, 2004).

Zhang, T.

Appl. Opt. (1)

J. Eur. Opt. Soc. (1)

D. P. Kelly, J. J. Healy, B. M. Hennelly, and J. T. Sheridan, J. Eur. Opt. Soc. 6, 11034 (2011).
[CrossRef]

J. Opt. Soc. Am. (1)

J. Opt. Soc. Am. A (3)

Nat. Photon. (1)

J. Rosen and G. Brooker, Nat. Photon. 2, 190 (2008).
[CrossRef]

Nature (1)

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

Opt. Eng. (1)

D. P. Kelly, B. M. Hennelly, N. Pandey, T. J. Naughton, and W. T. Rhodes, Opt. Eng. 48, 095801 (2009).
[CrossRef]

Opt. Lett. (4)

Other (1)

L. Yaroslavsky, Digital Holography and Digital Image Processing: Principles, Methods, Algorithms (Kluwer Academic, 2004).

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Figures (3)

Fig. 1.
Fig. 1.

Recording arrangement. BS1 and BS2 are beam splitters, M1 and M2 are mirrors, NDF is a neutral density filter, and PH is a pinhole.

Fig. 2.
Fig. 2.

Propagation of the wave emitted by point P through the two arms of the interferometer. (a) With and (b) without PH.

Fig. 3.
Fig. 3.

(a) Defocused image of the object, (b) interference pattern due to the superposition of the light passing from both arms including the intensity profile along the recorded fringes, (c) wrapped phase obtained by phase shifting, (d)–(f) digital reconstructions of the wavefronts utilizing both the amplitude and the phase, (g) image obtained by physical focusing, and (h) the best reconstruction obtained by using only the intensity.

Equations (2)

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I(Q)=ωS|U(P,ω)[h1(P,Q,ω)+h2(P,Q,ω)]|2dSdω,
I(Q)=ωSFZ(P,PH,Q,ω)dSdω,

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