Abstract

We report a new technique for the recovery of quantitative phase and amplitude information of an object hidden behind a scattering medium. Two-point intensity correlation measurement together with digital holography principles are utilized for this purpose. The hologram information of the object and a reference beam is scrambled by the presence of a scattering medium in its path. A direct digital holographic recording of this scattered light does not lead to the reconstruction of actual object information. We propose the idea of recovering this hologram information from the spatially fluctuating field of a laser speckle pattern using the intensity correlation, and subsequently apply digital reconstruction of the hologram for recovery of quantitative phase and amplitude information of objects hidden by a random diffuser.

© 2014 Optical Society of America

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2014

2013

2012

A. Velten, T. Willwacher, O. Gupta, A. Veeraraghavan, M. Bawendi, and R. Raskar, Nat. Commun. 3, 745 (2012).
[CrossRef]

O. Katz, E. Small, and Y. Silberberg, Nat. Photonics 6, 549 (2012).
[CrossRef]

J. Bertolloti, E. G. van Putten, C. Blum, A. Lagendijk, W. L. Vos, and A. P. Mosk, Nature 491, 232 (2012).
[CrossRef]

2011

2010

2008

Z. Yaqoob, D. Psaltis, M. S. Feld, and C. Yang, Nat. Photonics 2, 110 (2008).
[CrossRef]

S. De Nicola, P. Ferraro, S. Grilli, L. Miccio, R. Meucci, P. K. Buah-Bassuah, and F. T. Arecchi, Opt. Commun. 281, 1445 (2008).
[CrossRef]

S. R. P. Pavani, A. R. Libertun, S. V. King, and C. J. Cogswell, Appl. Opt. 47, 15 (2008).
[CrossRef]

2006

M. Bache, D. Magatti, F. Ferri, A. Gatti, E. Brambilla, and L. A. Lugiato, Phys. Rev. A 73, 053802 (2006).
[CrossRef]

2004

Y. Zhang, G. Pedrini, W. Osten, and H. J. Tiziani, Optik 115, 94 (2004).
[CrossRef]

A. Gatti, E. Brambilla, M. Bache, and L. A. Lugiato, Phys. Rev. Lett. 93, 093602 (2004).
[CrossRef]

2003

I. Takahashi, T. Nomura, Y. Morimoto, S. Yoneyama, and M. Fujigaki, Proc. SPIE 5264, 206 (2003).
[CrossRef]

2000

1999

1998

1991

1983

1968

1966

J. W. Goodman, W. H. Huntley, D. W. Jackson, and M. Lehmann, Appl. Phys. Lett. 8, 311 (1966).
[CrossRef]

1955

F. Zernike, Science 121, 345 (1955).
[CrossRef]

Alfano, R. R.

Arecchi, F. T.

S. De Nicola, P. Ferraro, S. Grilli, L. Miccio, R. Meucci, P. K. Buah-Bassuah, and F. T. Arecchi, Opt. Commun. 281, 1445 (2008).
[CrossRef]

Bache, M.

M. Bache, D. Magatti, F. Ferri, A. Gatti, E. Brambilla, and L. A. Lugiato, Phys. Rev. A 73, 053802 (2006).
[CrossRef]

A. Gatti, E. Brambilla, M. Bache, and L. A. Lugiato, Phys. Rev. Lett. 93, 093602 (2004).
[CrossRef]

Baltes, H. P.

H. P. Baltes, Inverse Scattering Problems in Optics (Springer, 2008).

Barty, A.

Bawendi, M.

A. Velten, T. Willwacher, O. Gupta, A. Veeraraghavan, M. Bawendi, and R. Raskar, Nat. Commun. 3, 745 (2012).
[CrossRef]

Bertolloti, J.

J. Bertolloti, E. G. van Putten, C. Blum, A. Lagendijk, W. L. Vos, and A. P. Mosk, Nature 491, 232 (2012).
[CrossRef]

Bevilacqua, F.

Bianco, V.

Blum, C.

J. Bertolloti, E. G. van Putten, C. Blum, A. Lagendijk, W. L. Vos, and A. P. Mosk, Nature 491, 232 (2012).
[CrossRef]

Brambilla, E.

M. Bache, D. Magatti, F. Ferri, A. Gatti, E. Brambilla, and L. A. Lugiato, Phys. Rev. A 73, 053802 (2006).
[CrossRef]

A. Gatti, E. Brambilla, M. Bache, and L. A. Lugiato, Phys. Rev. Lett. 93, 093602 (2004).
[CrossRef]

Buah-Bassuah, P. K.

S. De Nicola, P. Ferraro, S. Grilli, L. Miccio, R. Meucci, P. K. Buah-Bassuah, and F. T. Arecchi, Opt. Commun. 281, 1445 (2008).
[CrossRef]

Cogswell, C. J.

Colomb, T.

Cuche, E.

Dainty, J. C.

Das, B.

De Nicola, S.

S. De Nicola, P. Ferraro, S. Grilli, L. Miccio, R. Meucci, P. K. Buah-Bassuah, and F. T. Arecchi, Opt. Commun. 281, 1445 (2008).
[CrossRef]

Depeursinge, C.

Ebstein, S. M.

Emery, Y.

Ezawa, T.

Feld, M. S.

Z. Yaqoob, D. Psaltis, M. S. Feld, and C. Yang, Nat. Photonics 2, 110 (2008).
[CrossRef]

Ferraro, P.

V. Bianco, M. Paturzo, O. Gennari, A. Finizio, and P. Ferraro, Opt. Express 21, 23985 (2013).
[CrossRef]

S. De Nicola, P. Ferraro, S. Grilli, L. Miccio, R. Meucci, P. K. Buah-Bassuah, and F. T. Arecchi, Opt. Commun. 281, 1445 (2008).
[CrossRef]

Ferri, F.

M. Bache, D. Magatti, F. Ferri, A. Gatti, E. Brambilla, and L. A. Lugiato, Phys. Rev. A 73, 053802 (2006).
[CrossRef]

Finizio, A.

Fujigaki, M.

I. Takahashi, T. Nomura, Y. Morimoto, S. Yoneyama, and M. Fujigaki, Proc. SPIE 5264, 206 (2003).
[CrossRef]

Gatti, A.

M. Bache, D. Magatti, F. Ferri, A. Gatti, E. Brambilla, and L. A. Lugiato, Phys. Rev. A 73, 053802 (2006).
[CrossRef]

A. Gatti, E. Brambilla, M. Bache, and L. A. Lugiato, Phys. Rev. Lett. 93, 093602 (2004).
[CrossRef]

Gennari, O.

Gong, W.

W. Gong and S. Han, Phys. Rev. A 82, 023828 (2010).

Goodman, J. W.

J. W. Goodman, W. H. Huntley, D. W. Jackson, and M. Lehmann, Appl. Phys. Lett. 8, 311 (1966).
[CrossRef]

Grilli, S.

S. De Nicola, P. Ferraro, S. Grilli, L. Miccio, R. Meucci, P. K. Buah-Bassuah, and F. T. Arecchi, Opt. Commun. 281, 1445 (2008).
[CrossRef]

Gupta, O.

A. Velten, T. Willwacher, O. Gupta, A. Veeraraghavan, M. Bawendi, and R. Raskar, Nat. Commun. 3, 745 (2012).
[CrossRef]

Han, S.

W. Gong and S. Han, Phys. Rev. A 82, 023828 (2010).

Huntley, W. H.

J. W. Goodman, W. H. Huntley, D. W. Jackson, and M. Lehmann, Appl. Phys. Lett. 8, 311 (1966).
[CrossRef]

Isikman, S. O.

Jackson, D. W.

J. W. Goodman, W. H. Huntley, D. W. Jackson, and M. Lehmann, Appl. Phys. Lett. 8, 311 (1966).
[CrossRef]

Katz, O.

O. Katz, E. Small, and Y. Silberberg, Nat. Photonics 6, 549 (2012).
[CrossRef]

Khademhosseinieh, B.

Kim, M. K.

M. K. Kim, Digital Holographic Microscopy: Principles, Techniques, and Applications (Springer, 2011).

King, S. V.

Kogelnik, K.

Kühn, J.

Lagendijk, A.

J. Bertolloti, E. G. van Putten, C. Blum, A. Lagendijk, W. L. Vos, and A. P. Mosk, Nature 491, 232 (2012).
[CrossRef]

Lehmann, M.

J. W. Goodman, W. H. Huntley, D. W. Jackson, and M. Lehmann, Appl. Phys. Lett. 8, 311 (1966).
[CrossRef]

Li, S.

Libertun, A. R.

Lugiato, L. A.

M. Bache, D. Magatti, F. Ferri, A. Gatti, E. Brambilla, and L. A. Lugiato, Phys. Rev. A 73, 053802 (2006).
[CrossRef]

A. Gatti, E. Brambilla, M. Bache, and L. A. Lugiato, Phys. Rev. Lett. 93, 093602 (2004).
[CrossRef]

Magatti, D.

M. Bache, D. Magatti, F. Ferri, A. Gatti, E. Brambilla, and L. A. Lugiato, Phys. Rev. A 73, 053802 (2006).
[CrossRef]

Marquet, P.

Meucci, R.

S. De Nicola, P. Ferraro, S. Grilli, L. Miccio, R. Meucci, P. K. Buah-Bassuah, and F. T. Arecchi, Opt. Commun. 281, 1445 (2008).
[CrossRef]

Miccio, L.

S. De Nicola, P. Ferraro, S. Grilli, L. Miccio, R. Meucci, P. K. Buah-Bassuah, and F. T. Arecchi, Opt. Commun. 281, 1445 (2008).
[CrossRef]

Miyamoto, Y.

Morimoto, Y.

I. Takahashi, T. Nomura, Y. Morimoto, S. Yoneyama, and M. Fujigaki, Proc. SPIE 5264, 206 (2003).
[CrossRef]

Mosk, A. P.

J. Bertolloti, E. G. van Putten, C. Blum, A. Lagendijk, W. L. Vos, and A. P. Mosk, Nature 491, 232 (2012).
[CrossRef]

Naik, D. N.

Newman, D.

Nomura, T.

I. Takahashi, T. Nomura, Y. Morimoto, S. Yoneyama, and M. Fujigaki, Proc. SPIE 5264, 206 (2003).
[CrossRef]

Nugent, K. A.

Oh, C.

Osten, W.

Ozcan, A.

Paganin, D.

Paturzo, M.

Pavani, S. R. P.

Pavillon, N.

Pedrini, G.

Pennington, K. S.

Psaltis, D.

Z. Yaqoob, D. Psaltis, M. S. Feld, and C. Yang, Nat. Photonics 2, 110 (2008).
[CrossRef]

Raskar, R.

A. Velten, T. Willwacher, O. Gupta, A. Veeraraghavan, M. Bawendi, and R. Raskar, Nat. Commun. 3, 745 (2012).
[CrossRef]

Roberts, A.

Sharma, A. M.

R. K. Singh, R. V. Vinu, and A. M. Sharma, Appl. Phys. Lett. 104, 111108 (2014).
[CrossRef]

Silberberg, Y.

O. Katz, E. Small, and Y. Silberberg, Nat. Photonics 6, 549 (2012).
[CrossRef]

Singh, A. K.

Singh, R. K.

R. K. Singh, R. V. Vinu, and A. M. Sharma, Appl. Phys. Lett. 104, 111108 (2014).
[CrossRef]

D. N. Naik, R. K. Singh, T. Ezawa, Y. Miyamoto, and M. Takeda, Opt. Express 19, 1408 (2011).
[CrossRef]

Small, E.

O. Katz, E. Small, and Y. Silberberg, Nat. Photonics 6, 549 (2012).
[CrossRef]

Takahashi, I.

I. Takahashi, T. Nomura, Y. Morimoto, S. Yoneyama, and M. Fujigaki, Proc. SPIE 5264, 206 (2003).
[CrossRef]

Takeda, M.

Tiziani, H. J.

Y. Zhang, G. Pedrini, W. Osten, and H. J. Tiziani, Optik 115, 94 (2004).
[CrossRef]

van Putten, E. G.

J. Bertolloti, E. G. van Putten, C. Blum, A. Lagendijk, W. L. Vos, and A. P. Mosk, Nature 491, 232 (2012).
[CrossRef]

Veeraraghavan, A.

A. Velten, T. Willwacher, O. Gupta, A. Veeraraghavan, M. Bawendi, and R. Raskar, Nat. Commun. 3, 745 (2012).
[CrossRef]

Velten, A.

A. Velten, T. Willwacher, O. Gupta, A. Veeraraghavan, M. Bawendi, and R. Raskar, Nat. Commun. 3, 745 (2012).
[CrossRef]

Vinu, R. V.

R. K. Singh, R. V. Vinu, and A. M. Sharma, Appl. Phys. Lett. 104, 111108 (2014).
[CrossRef]

Vos, W. L.

J. Bertolloti, E. G. van Putten, C. Blum, A. Lagendijk, W. L. Vos, and A. P. Mosk, Nature 491, 232 (2012).
[CrossRef]

Willwacher, T.

A. Velten, T. Willwacher, O. Gupta, A. Veeraraghavan, M. Bawendi, and R. Raskar, Nat. Commun. 3, 745 (2012).
[CrossRef]

Xing, Q.

Yang, C.

Z. Yaqoob, D. Psaltis, M. S. Feld, and C. Yang, Nat. Photonics 2, 110 (2008).
[CrossRef]

Yaqoob, Z.

Z. Yaqoob, D. Psaltis, M. S. Feld, and C. Yang, Nat. Photonics 2, 110 (2008).
[CrossRef]

Yelleswarapu, C. S.

Yoneyama, S.

I. Takahashi, T. Nomura, Y. Morimoto, S. Yoneyama, and M. Fujigaki, Proc. SPIE 5264, 206 (2003).
[CrossRef]

Yoo, K. M.

Zernike, F.

F. Zernike, Science 121, 345 (1955).
[CrossRef]

Zhang, Y.

Y. Zhang, G. Pedrini, W. Osten, and H. J. Tiziani, Optik 115, 94 (2004).
[CrossRef]

Zhong, J.

Appl. Opt.

Appl. Phys. Lett.

R. K. Singh, R. V. Vinu, and A. M. Sharma, Appl. Phys. Lett. 104, 111108 (2014).
[CrossRef]

J. W. Goodman, W. H. Huntley, D. W. Jackson, and M. Lehmann, Appl. Phys. Lett. 8, 311 (1966).
[CrossRef]

J. Opt. Soc. Am.

J. Opt. Soc. Am. A

Nat. Commun.

A. Velten, T. Willwacher, O. Gupta, A. Veeraraghavan, M. Bawendi, and R. Raskar, Nat. Commun. 3, 745 (2012).
[CrossRef]

Nat. Photonics

Z. Yaqoob, D. Psaltis, M. S. Feld, and C. Yang, Nat. Photonics 2, 110 (2008).
[CrossRef]

O. Katz, E. Small, and Y. Silberberg, Nat. Photonics 6, 549 (2012).
[CrossRef]

Nature

J. Bertolloti, E. G. van Putten, C. Blum, A. Lagendijk, W. L. Vos, and A. P. Mosk, Nature 491, 232 (2012).
[CrossRef]

Opt. Commun.

S. De Nicola, P. Ferraro, S. Grilli, L. Miccio, R. Meucci, P. K. Buah-Bassuah, and F. T. Arecchi, Opt. Commun. 281, 1445 (2008).
[CrossRef]

Opt. Express

Opt. Lett.

Optik

Y. Zhang, G. Pedrini, W. Osten, and H. J. Tiziani, Optik 115, 94 (2004).
[CrossRef]

Phys. Rev. A

M. Bache, D. Magatti, F. Ferri, A. Gatti, E. Brambilla, and L. A. Lugiato, Phys. Rev. A 73, 053802 (2006).
[CrossRef]

W. Gong and S. Han, Phys. Rev. A 82, 023828 (2010).

Phys. Rev. Lett.

A. Gatti, E. Brambilla, M. Bache, and L. A. Lugiato, Phys. Rev. Lett. 93, 093602 (2004).
[CrossRef]

Proc. SPIE

I. Takahashi, T. Nomura, Y. Morimoto, S. Yoneyama, and M. Fujigaki, Proc. SPIE 5264, 206 (2003).
[CrossRef]

Science

F. Zernike, Science 121, 345 (1955).
[CrossRef]

Other

M. K. Kim, Digital Holographic Microscopy: Principles, Techniques, and Applications (Springer, 2011).

H. P. Baltes, Inverse Scattering Problems in Optics (Springer, 2008).

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Figures (4)

Fig. 1.
Fig. 1.

Experimental configuration: Collimated laser beam enters a Mach–Zehnder interferometer formed by beam splitters BS1 and BS4 and mirrors M1 and M3. A second Mach–Zehnder interferometer is formed by beam splitters BS2 and BS3 and mirrors M1 and M2. The hologram is formed at ground glass plate GG1. The scattered lights from ground glass plates GG1 and GG2 is Fourier transformed and recorded at plane II with a CCD.

Fig. 2.
Fig. 2.

(a)–(c) show the recorded resultant speckle patterns corresponding to three optical vortices of topological charges m=1, 2, 3, respectively. (d)–(f) are recovered fringe patterns.

Fig. 3.
Fig. 3.

(a)–(c) show quantitative phase information of three optical vortices, with topological charges m=1, 2, 3, respectively. The vertical bar represents the phase values in radians. (d)–(f) show the respective reconstructed amplitude information.

Fig. 4.
Fig. 4.

Reconstruction results for a star-pattern object: (a) Recorded speckle pattern, (b) recovered hologram, and (c) reconstructed object information.

Equations (11)

Equations on this page are rendered with MathJax. Learn more.

U(r1)=UO(r1)+UR(r1),
UG(r1)=U(r1)eiφ(r1).
U(r2)=U(r1)eiφ(r1)ei2πλfr1r2dr1,
C(r2,r2+Δr2)=ΔI(r2)ΔI(r2+Δr2),
C(Δr2)=ΔI(r2)ΔI(r2+Δr2)S,
C(Δr2)|W(Δr2)|2.
I(r1)=W(Δr2)ei2πλfr1Δr2d(Δr2).
I(r2)=|U(r2)+Ua(r2)|2,
|W˜(Δr2)|2=|W(Δr2)|2+|Wa(Δr2)|2+W(Δr2)Wa*(Δr2)+W*(Δr2)Wa(Δr2),
I(r1)=|UO(r1)|2+|UR(r1)|2+UO(r1)UR*(r1)+UO*(r1)UR(r1).
UO(r;d)=IFT{FT{UO(r1)}×e{i2πλd(1-(λξ)2-(λη)2)}},

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