Abstract

We introduce for the first time the concept of an all-optical encrypted movie. This movie joints several encrypted frames corresponding to a time evolving situation employing the same encoding mask. Thanks to a multiplexing operation we compact the encrypted movie information into a single package. But the decryption of this single package implies the existence of cross-talk if we do not adequately pre-process the encoded information before multiplexing. In this regard, we introduce a grating modulation to each encoded image, and then we proceed to multiplexing. After appropriate filtering and synchronizing procedures applied to the multiplexing, we are able to decrypt and to reproduce the movie. This movie is only properly decoded when in possession of the right decoding key. The concept development is carried-out in virtual optical systems, both for the encrypting and the filtering-decrypting stages. Experimental results are shown to confirm our approach.

© 2011 OSA

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. G. Situ and J. Zhang, “Multiple-image encryption by wavelength multiplexing,” Opt. Lett. 30(11), 1306–1308 (2005).
    [CrossRef] [PubMed]
  2. J. F. Barrera, R. Henao, M. Tebaldi, R. Torroba, and N. Bolognini, “Multiplexing encryption-decryption via lateral shifting of a random phase mask,” Opt. Commun. 259(2), 532–536 (2006).
    [CrossRef]
  3. J. F. Barrera, R. Henao, M. Tebaldi, R. Torroba, and N. Bolognini, “Multiplexing encrypted data by using polarized light,” Opt. Commun. 260(1), 109–112 (2006).
    [CrossRef]
  4. J. F. Barrera, R. Henao, M. Tebaldi, R. Torroba, and N. Bolognini, “Multiple image encryption using an aperture modulated optical system,” Opt. Commun. 261(1), 29–33 (2006).
    [CrossRef]
  5. J. F. Barrera, R. Henao, M. Tebaldi, R. Torroba, and N. Bolognini, “Code retrieval via undercover multiplexing,” Optik (Jena) 119, 139–142 (2008).
  6. P. Refregier and B. Javidi, “Optical image encryption based on input plane and Fourier plane random encoding,” Opt. Lett. 20(7), 767–769 (1995).
    [CrossRef] [PubMed]
  7. J. Ojeda-Castañeda and E. E. Sicre, “Theta-modulation decoder based on the Lau effect,” Opt. Commun. 59(2), 87–91 (1986).
    [CrossRef]
  8. J. W. Goodman, Introduction to Fourier Optics (Roberts & Company Publishers, 2004), pp. 80–81.

2008 (1)

J. F. Barrera, R. Henao, M. Tebaldi, R. Torroba, and N. Bolognini, “Code retrieval via undercover multiplexing,” Optik (Jena) 119, 139–142 (2008).

2006 (3)

J. F. Barrera, R. Henao, M. Tebaldi, R. Torroba, and N. Bolognini, “Multiplexing encryption-decryption via lateral shifting of a random phase mask,” Opt. Commun. 259(2), 532–536 (2006).
[CrossRef]

J. F. Barrera, R. Henao, M. Tebaldi, R. Torroba, and N. Bolognini, “Multiplexing encrypted data by using polarized light,” Opt. Commun. 260(1), 109–112 (2006).
[CrossRef]

J. F. Barrera, R. Henao, M. Tebaldi, R. Torroba, and N. Bolognini, “Multiple image encryption using an aperture modulated optical system,” Opt. Commun. 261(1), 29–33 (2006).
[CrossRef]

2005 (1)

1995 (1)

1986 (1)

J. Ojeda-Castañeda and E. E. Sicre, “Theta-modulation decoder based on the Lau effect,” Opt. Commun. 59(2), 87–91 (1986).
[CrossRef]

Barrera, J. F.

J. F. Barrera, R. Henao, M. Tebaldi, R. Torroba, and N. Bolognini, “Code retrieval via undercover multiplexing,” Optik (Jena) 119, 139–142 (2008).

J. F. Barrera, R. Henao, M. Tebaldi, R. Torroba, and N. Bolognini, “Multiplexing encryption-decryption via lateral shifting of a random phase mask,” Opt. Commun. 259(2), 532–536 (2006).
[CrossRef]

J. F. Barrera, R. Henao, M. Tebaldi, R. Torroba, and N. Bolognini, “Multiplexing encrypted data by using polarized light,” Opt. Commun. 260(1), 109–112 (2006).
[CrossRef]

J. F. Barrera, R. Henao, M. Tebaldi, R. Torroba, and N. Bolognini, “Multiple image encryption using an aperture modulated optical system,” Opt. Commun. 261(1), 29–33 (2006).
[CrossRef]

Bolognini, N.

J. F. Barrera, R. Henao, M. Tebaldi, R. Torroba, and N. Bolognini, “Code retrieval via undercover multiplexing,” Optik (Jena) 119, 139–142 (2008).

J. F. Barrera, R. Henao, M. Tebaldi, R. Torroba, and N. Bolognini, “Multiple image encryption using an aperture modulated optical system,” Opt. Commun. 261(1), 29–33 (2006).
[CrossRef]

J. F. Barrera, R. Henao, M. Tebaldi, R. Torroba, and N. Bolognini, “Multiplexing encryption-decryption via lateral shifting of a random phase mask,” Opt. Commun. 259(2), 532–536 (2006).
[CrossRef]

J. F. Barrera, R. Henao, M. Tebaldi, R. Torroba, and N. Bolognini, “Multiplexing encrypted data by using polarized light,” Opt. Commun. 260(1), 109–112 (2006).
[CrossRef]

Henao, R.

J. F. Barrera, R. Henao, M. Tebaldi, R. Torroba, and N. Bolognini, “Code retrieval via undercover multiplexing,” Optik (Jena) 119, 139–142 (2008).

J. F. Barrera, R. Henao, M. Tebaldi, R. Torroba, and N. Bolognini, “Multiple image encryption using an aperture modulated optical system,” Opt. Commun. 261(1), 29–33 (2006).
[CrossRef]

J. F. Barrera, R. Henao, M. Tebaldi, R. Torroba, and N. Bolognini, “Multiplexing encrypted data by using polarized light,” Opt. Commun. 260(1), 109–112 (2006).
[CrossRef]

J. F. Barrera, R. Henao, M. Tebaldi, R. Torroba, and N. Bolognini, “Multiplexing encryption-decryption via lateral shifting of a random phase mask,” Opt. Commun. 259(2), 532–536 (2006).
[CrossRef]

Javidi, B.

Ojeda-Castañeda, J.

J. Ojeda-Castañeda and E. E. Sicre, “Theta-modulation decoder based on the Lau effect,” Opt. Commun. 59(2), 87–91 (1986).
[CrossRef]

Refregier, P.

Sicre, E. E.

J. Ojeda-Castañeda and E. E. Sicre, “Theta-modulation decoder based on the Lau effect,” Opt. Commun. 59(2), 87–91 (1986).
[CrossRef]

Situ, G.

Tebaldi, M.

J. F. Barrera, R. Henao, M. Tebaldi, R. Torroba, and N. Bolognini, “Code retrieval via undercover multiplexing,” Optik (Jena) 119, 139–142 (2008).

J. F. Barrera, R. Henao, M. Tebaldi, R. Torroba, and N. Bolognini, “Multiple image encryption using an aperture modulated optical system,” Opt. Commun. 261(1), 29–33 (2006).
[CrossRef]

J. F. Barrera, R. Henao, M. Tebaldi, R. Torroba, and N. Bolognini, “Multiplexing encryption-decryption via lateral shifting of a random phase mask,” Opt. Commun. 259(2), 532–536 (2006).
[CrossRef]

J. F. Barrera, R. Henao, M. Tebaldi, R. Torroba, and N. Bolognini, “Multiplexing encrypted data by using polarized light,” Opt. Commun. 260(1), 109–112 (2006).
[CrossRef]

Torroba, R.

J. F. Barrera, R. Henao, M. Tebaldi, R. Torroba, and N. Bolognini, “Code retrieval via undercover multiplexing,” Optik (Jena) 119, 139–142 (2008).

J. F. Barrera, R. Henao, M. Tebaldi, R. Torroba, and N. Bolognini, “Multiplexing encrypted data by using polarized light,” Opt. Commun. 260(1), 109–112 (2006).
[CrossRef]

J. F. Barrera, R. Henao, M. Tebaldi, R. Torroba, and N. Bolognini, “Multiplexing encryption-decryption via lateral shifting of a random phase mask,” Opt. Commun. 259(2), 532–536 (2006).
[CrossRef]

J. F. Barrera, R. Henao, M. Tebaldi, R. Torroba, and N. Bolognini, “Multiple image encryption using an aperture modulated optical system,” Opt. Commun. 261(1), 29–33 (2006).
[CrossRef]

Zhang, J.

Opt. Commun. (4)

J. F. Barrera, R. Henao, M. Tebaldi, R. Torroba, and N. Bolognini, “Multiplexing encryption-decryption via lateral shifting of a random phase mask,” Opt. Commun. 259(2), 532–536 (2006).
[CrossRef]

J. F. Barrera, R. Henao, M. Tebaldi, R. Torroba, and N. Bolognini, “Multiplexing encrypted data by using polarized light,” Opt. Commun. 260(1), 109–112 (2006).
[CrossRef]

J. F. Barrera, R. Henao, M. Tebaldi, R. Torroba, and N. Bolognini, “Multiple image encryption using an aperture modulated optical system,” Opt. Commun. 261(1), 29–33 (2006).
[CrossRef]

J. Ojeda-Castañeda and E. E. Sicre, “Theta-modulation decoder based on the Lau effect,” Opt. Commun. 59(2), 87–91 (1986).
[CrossRef]

Opt. Lett. (2)

Optik (Jena) (1)

J. F. Barrera, R. Henao, M. Tebaldi, R. Torroba, and N. Bolognini, “Code retrieval via undercover multiplexing,” Optik (Jena) 119, 139–142 (2008).

Other (1)

J. W. Goodman, Introduction to Fourier Optics (Roberts & Company Publishers, 2004), pp. 80–81.

Supplementary Material (2)

» Media 1: AVI (788 KB)     
» Media 2: AVI (788 KB)     

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (6)

Fig. 1
Fig. 1

Step 1: encryption process (R: random phase mask, Fi: i-th frame; R´: key mask, Ei: i-th encrypted frame, FT: Fourier transform); step 2: theta speckle modulation and multiplexing (Gi: i-th amplitude grating). All shown speckle patterns correspond to enlarged version of the actual patterns.

Fig. 2
Fig. 2

Enlarged version of an encrypted grating modulated frame.

Fig. 3
Fig. 3

Filtering process.

Fig. 4
Fig. 4

Decryption process (Ei*: i-th complex conjugated encryption frame).

Fig. 5
Fig. 5

Normalized NMSE for all frames in the movie.

Fig. 6
Fig. 6

(a) Full decrypted optical movie (Media 1) and (b) full non-decrypted optical movie (Media 2).

Equations (5)

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

E i = F i  R [ R ]
M = ( i = 1 n E i G i )
( M * ) = ( i = 1 n E i * G i * ) = i = 1 n [ ( E i * ) ( G i * ) ]
( E * i ) R = ( F i * R * ) [ R * R ]
[ ( E * i ) R ] = F i * R *

Metrics