Abstract

Ghost imaging is an optical technique in which the information of an object is encoded in the correlation of the intensity fluctuations of light. The computational version of this fascinating phenomenon emulates, offline, the optical propagation through the reference arm, enabling 3D visualization of a complex object whose transmitted light is measured by a bucket detector. In this Letter, we show how computational ghost imaging can be used to encrypt and transmit object information to a remote party. Important features, such as key compressibility and vulnerability to eavesdropping, are experimentally analyzed.

© 2010 Optical Society of America

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Y. Bromberg, O. Katz, and Y. Silberberg, Phys. Rev. A 79, 053840 (2009).
[CrossRef]

O. Katz, Y. Bromberg, and Y. Silberberg, Appl. Phys. Lett. 95, 131110 (2009).
[CrossRef]

B. Jack, J. Leach, J. Romero, S. Franke-Arnold, M. Ritsch-Marte, S. M. Barnett, and M. J. Padgett, Phys. Rev. Lett. 103, 083602 (2009).
[CrossRef] [PubMed]

M. Tebaldi, W. D. Furlan, R. Torroba, and N. Bolognini, Opt. Lett. 34, 316 (2009).
[CrossRef] [PubMed]

2008

P. Clemente, V. Duran, Ll. Martínez-León, V. Climent, E. Tajahuerce, and J. Lancis, Opt. Express 16, 1965 (2008).
[CrossRef] [PubMed]

J. H. Shapiro, Phys. Rev. A 78, 061802 (2008).
[CrossRef]

A. Gatti, E. Brambilla, and L. A. Lugiato, Progr. Opt. 51, 251 (2008).
[CrossRef]

2006

G. Scarcelli, V. Berardi, and Y. H. Shih, Phys. Rev. Lett. 96, 063602 (2006).
[CrossRef] [PubMed]

2002

R. S. Bennink, S. J. Bentley, and R. W. Boyd, Phys. Rev. Lett. 89, 113601 (2002).
[CrossRef] [PubMed]

2001

2000

1999

1995

P. Refregier and B. Javidi, Opt. Lett. 20, 767 (1995).
[CrossRef] [PubMed]

T. B. Pittmann, Y. H. Shih, D. V. Strekalov, and S. V. Sergienko, Phys. Rev. A 52, R3429 (1995).
[CrossRef]

Andrés, P.

Barnett, S. M.

B. Jack, J. Leach, J. Romero, S. Franke-Arnold, M. Ritsch-Marte, S. M. Barnett, and M. J. Padgett, Phys. Rev. Lett. 103, 083602 (2009).
[CrossRef] [PubMed]

Bennink, R. S.

R. S. Bennink, S. J. Bentley, and R. W. Boyd, Phys. Rev. Lett. 89, 113601 (2002).
[CrossRef] [PubMed]

Bentley, S. J.

R. S. Bennink, S. J. Bentley, and R. W. Boyd, Phys. Rev. Lett. 89, 113601 (2002).
[CrossRef] [PubMed]

Berardi, V.

G. Scarcelli, V. Berardi, and Y. H. Shih, Phys. Rev. Lett. 96, 063602 (2006).
[CrossRef] [PubMed]

Bolognini, N.

Boyd, R. W.

R. S. Bennink, S. J. Bentley, and R. W. Boyd, Phys. Rev. Lett. 89, 113601 (2002).
[CrossRef] [PubMed]

Brambilla, E.

A. Gatti, E. Brambilla, and L. A. Lugiato, Progr. Opt. 51, 251 (2008).
[CrossRef]

Bromberg, Y.

Y. Bromberg, O. Katz, and Y. Silberberg, Phys. Rev. A 79, 053840 (2009).
[CrossRef]

O. Katz, Y. Bromberg, and Y. Silberberg, Appl. Phys. Lett. 95, 131110 (2009).
[CrossRef]

Clemente, P.

Climent, V.

Duran, V.

Franke-Arnold, S.

B. Jack, J. Leach, J. Romero, S. Franke-Arnold, M. Ritsch-Marte, S. M. Barnett, and M. J. Padgett, Phys. Rev. Lett. 103, 083602 (2009).
[CrossRef] [PubMed]

Furlan, W. D.

Gatti, A.

A. Gatti, E. Brambilla, and L. A. Lugiato, Progr. Opt. 51, 251 (2008).
[CrossRef]

Glückstad, J.

Jack, B.

B. Jack, J. Leach, J. Romero, S. Franke-Arnold, M. Ritsch-Marte, S. M. Barnett, and M. J. Padgett, Phys. Rev. Lett. 103, 083602 (2009).
[CrossRef] [PubMed]

Javidi, B.

Katz, O.

Y. Bromberg, O. Katz, and Y. Silberberg, Phys. Rev. A 79, 053840 (2009).
[CrossRef]

O. Katz, Y. Bromberg, and Y. Silberberg, Appl. Phys. Lett. 95, 131110 (2009).
[CrossRef]

Lancis, J.

Leach, J.

B. Jack, J. Leach, J. Romero, S. Franke-Arnold, M. Ritsch-Marte, S. M. Barnett, and M. J. Padgett, Phys. Rev. Lett. 103, 083602 (2009).
[CrossRef] [PubMed]

Lugiato, L. A.

A. Gatti, E. Brambilla, and L. A. Lugiato, Progr. Opt. 51, 251 (2008).
[CrossRef]

Martínez-León, Ll.

Matoba, O.

Mogensen, P. C.

Padgett, M. J.

B. Jack, J. Leach, J. Romero, S. Franke-Arnold, M. Ritsch-Marte, S. M. Barnett, and M. J. Padgett, Phys. Rev. Lett. 103, 083602 (2009).
[CrossRef] [PubMed]

Pittmann, T. B.

T. B. Pittmann, Y. H. Shih, D. V. Strekalov, and S. V. Sergienko, Phys. Rev. A 52, R3429 (1995).
[CrossRef]

Refregier, P.

Ritsch-Marte, M.

B. Jack, J. Leach, J. Romero, S. Franke-Arnold, M. Ritsch-Marte, S. M. Barnett, and M. J. Padgett, Phys. Rev. Lett. 103, 083602 (2009).
[CrossRef] [PubMed]

Romero, J.

B. Jack, J. Leach, J. Romero, S. Franke-Arnold, M. Ritsch-Marte, S. M. Barnett, and M. J. Padgett, Phys. Rev. Lett. 103, 083602 (2009).
[CrossRef] [PubMed]

Scarcelli, G.

G. Scarcelli, V. Berardi, and Y. H. Shih, Phys. Rev. Lett. 96, 063602 (2006).
[CrossRef] [PubMed]

Sergienko, S. V.

T. B. Pittmann, Y. H. Shih, D. V. Strekalov, and S. V. Sergienko, Phys. Rev. A 52, R3429 (1995).
[CrossRef]

Shapiro, J. H.

J. H. Shapiro, Phys. Rev. A 78, 061802 (2008).
[CrossRef]

Shih, Y. H.

G. Scarcelli, V. Berardi, and Y. H. Shih, Phys. Rev. Lett. 96, 063602 (2006).
[CrossRef] [PubMed]

T. B. Pittmann, Y. H. Shih, D. V. Strekalov, and S. V. Sergienko, Phys. Rev. A 52, R3429 (1995).
[CrossRef]

Silberberg, Y.

Y. Bromberg, O. Katz, and Y. Silberberg, Phys. Rev. A 79, 053840 (2009).
[CrossRef]

O. Katz, Y. Bromberg, and Y. Silberberg, Appl. Phys. Lett. 95, 131110 (2009).
[CrossRef]

Strekalov, D. V.

T. B. Pittmann, Y. H. Shih, D. V. Strekalov, and S. V. Sergienko, Phys. Rev. A 52, R3429 (1995).
[CrossRef]

Tajahuerce, E.

Tebaldi, M.

Torroba, R.

Appl. Opt.

Appl. Phys. Lett.

O. Katz, Y. Bromberg, and Y. Silberberg, Appl. Phys. Lett. 95, 131110 (2009).
[CrossRef]

Opt. Express

Opt. Lett.

Phys. Rev. A

T. B. Pittmann, Y. H. Shih, D. V. Strekalov, and S. V. Sergienko, Phys. Rev. A 52, R3429 (1995).
[CrossRef]

J. H. Shapiro, Phys. Rev. A 78, 061802 (2008).
[CrossRef]

Y. Bromberg, O. Katz, and Y. Silberberg, Phys. Rev. A 79, 053840 (2009).
[CrossRef]

Phys. Rev. Lett.

R. S. Bennink, S. J. Bentley, and R. W. Boyd, Phys. Rev. Lett. 89, 113601 (2002).
[CrossRef] [PubMed]

G. Scarcelli, V. Berardi, and Y. H. Shih, Phys. Rev. Lett. 96, 063602 (2006).
[CrossRef] [PubMed]

B. Jack, J. Leach, J. Romero, S. Franke-Arnold, M. Ritsch-Marte, S. M. Barnett, and M. J. Padgett, Phys. Rev. Lett. 103, 083602 (2009).
[CrossRef] [PubMed]

Progr. Opt.

A. Gatti, E. Brambilla, and L. A. Lugiato, Progr. Opt. 51, 251 (2008).
[CrossRef]

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Figures (4)

Fig. 1
Fig. 1

Scheme of the encryption method based on CGI: (a) block diagram showing encryption/decryption procedure and (b) experimental setup for CGI.

Fig. 2
Fig. 2

Decoded images for two samples objects (see details in text).

Fig. 3
Fig. 3

(a) Histogram of intensities measured by the BD and (b) SNR as a function of decreasing values of the parameter n, which delimits the number of intensities B i chosen for reconstruction.

Fig. 4
Fig. 4

Reconstructed images for partially recovered keys.

Equations (2)

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O ( x , y ) = 1 N i = 1 N [ B i B ] I i ( x , y ) ,
I i ( x , y ) = | E in ( x , y ) exp [ j φ i ( x , y ) ] h z ( x , y ) | 2 .

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