Abstract

We propose the use of fractal structured diffractive masks as keys in secure storage-readout systems. A joint transform correlator based on a photorefractive crystal in the Fourier domain is implemented to perform encryption and decryption. We discuss the advantages of encrypting information using this kind of deterministic keys in comparison to conventional random phase masks. Preliminary experimental results are presented to demonstrate the effectiveness of the proposed system.

© 2009 Optical Society of America

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2008 (1)

D. Amaya, M. Tebaldi, R. Torroba, and N. Bolognini, J. Opt. A 10, 104031 (2008).
[CrossRef]

2007 (1)

J. F. Barrera, R. Henao, M. Tebaldi, R. Torroba, and N. Bolognini, Opt. Commun. 276, 231 (2007).
[CrossRef]

2006 (1)

2005 (2)

2004 (1)

2003 (1)

2000 (3)

T. Nomura and B. Javidi, Appl. Opt. 39, 4783 (2000).
[CrossRef]

G. Unnikrishnan, J. Joseph, and K. Singh, Opt. Lett. 25, 887 (2000).
[CrossRef]

E. M. De Miguel-Sanz, M. Tebaldi, S. Granieri, N. Bolognini, and L. Arizmendi, Appl. Phys. B 70, 379 (2000).
[CrossRef]

1999 (1)

M. Tebaldi, M. C. Lasprilla, and N. Bolognini, Optik (Jena) 110, 127 (1999).

1995 (1)

Amaya, D.

D. Amaya, M. Tebaldi, R. Torroba, and N. Bolognini, J. Opt. A 10, 104031 (2008).
[CrossRef]

Arcos, S.

Arizmendi, L.

E. M. De Miguel-Sanz, M. Tebaldi, S. Granieri, N. Bolognini, and L. Arizmendi, Appl. Phys. B 70, 379 (2000).
[CrossRef]

Barrera, J. F.

J. F. Barrera, R. Henao, M. Tebaldi, R. Torroba, and N. Bolognini, Opt. Commun. 276, 231 (2007).
[CrossRef]

J. F. Barrera, R. Henao, and R. Torroba, Opt. Commun. 248, 35 (2005).
[CrossRef]

Bolognini, N.

D. Amaya, M. Tebaldi, R. Torroba, and N. Bolognini, J. Opt. A 10, 104031 (2008).
[CrossRef]

J. F. Barrera, R. Henao, M. Tebaldi, R. Torroba, and N. Bolognini, Opt. Commun. 276, 231 (2007).
[CrossRef]

E. M. De Miguel-Sanz, M. Tebaldi, S. Granieri, N. Bolognini, and L. Arizmendi, Appl. Phys. B 70, 379 (2000).
[CrossRef]

M. Tebaldi, M. C. Lasprilla, and N. Bolognini, Optik (Jena) 110, 127 (1999).

Carnicer, A.

De Miguel-Sanz, E. M.

E. M. De Miguel-Sanz, M. Tebaldi, S. Granieri, N. Bolognini, and L. Arizmendi, Appl. Phys. B 70, 379 (2000).
[CrossRef]

Furlan, W. D.

Granieri, S.

E. M. De Miguel-Sanz, M. Tebaldi, S. Granieri, N. Bolognini, and L. Arizmendi, Appl. Phys. B 70, 379 (2000).
[CrossRef]

Henao, R.

J. F. Barrera, R. Henao, M. Tebaldi, R. Torroba, and N. Bolognini, Opt. Commun. 276, 231 (2007).
[CrossRef]

J. F. Barrera, R. Henao, and R. Torroba, Opt. Commun. 248, 35 (2005).
[CrossRef]

Javidi, B.

Joseph, J.

Juvells, I.

Lasprilla, M. C.

M. Tebaldi, M. C. Lasprilla, and N. Bolognini, Optik (Jena) 110, 127 (1999).

Monsoriu, J. A.

Montes-Usategui, M.

Nomura, T.

Peng, X.

Refregier, P.

Saavedra, G.

Singh, K.

Tebaldi, M.

D. Amaya, M. Tebaldi, R. Torroba, and N. Bolognini, J. Opt. A 10, 104031 (2008).
[CrossRef]

J. F. Barrera, R. Henao, M. Tebaldi, R. Torroba, and N. Bolognini, Opt. Commun. 276, 231 (2007).
[CrossRef]

E. M. De Miguel-Sanz, M. Tebaldi, S. Granieri, N. Bolognini, and L. Arizmendi, Appl. Phys. B 70, 379 (2000).
[CrossRef]

M. Tebaldi, M. C. Lasprilla, and N. Bolognini, Optik (Jena) 110, 127 (1999).

Torroba, R.

D. Amaya, M. Tebaldi, R. Torroba, and N. Bolognini, J. Opt. A 10, 104031 (2008).
[CrossRef]

J. F. Barrera, R. Henao, M. Tebaldi, R. Torroba, and N. Bolognini, Opt. Commun. 276, 231 (2007).
[CrossRef]

J. F. Barrera, R. Henao, and R. Torroba, Opt. Commun. 248, 35 (2005).
[CrossRef]

Unnikrishnan, G.

Wei, H.

Yu, B.

Zhang, P.

Appl. Opt. (1)

Appl. Phys. B (1)

E. M. De Miguel-Sanz, M. Tebaldi, S. Granieri, N. Bolognini, and L. Arizmendi, Appl. Phys. B 70, 379 (2000).
[CrossRef]

J. Opt. A (1)

D. Amaya, M. Tebaldi, R. Torroba, and N. Bolognini, J. Opt. A 10, 104031 (2008).
[CrossRef]

Opt. Commun. (2)

J. F. Barrera, R. Henao, M. Tebaldi, R. Torroba, and N. Bolognini, Opt. Commun. 276, 231 (2007).
[CrossRef]

J. F. Barrera, R. Henao, and R. Torroba, Opt. Commun. 248, 35 (2005).
[CrossRef]

Opt. Express (1)

Opt. Lett. (5)

Optik (Jena) (1)

M. Tebaldi, M. C. Lasprilla, and N. Bolognini, Optik (Jena) 110, 127 (1999).

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Figures (4)

Fig. 1
Fig. 1

Construction of a 1D fractal binary structure binary function with the following parameters: N = 4 , S = 2 . γ is the scale factor and ε is the lacunarity.

Fig. 2
Fig. 2

Encryption-key mask-generation procedure based on a 1D fractal. FrZP is built by using the methods detailed in the main text: (a) compact-supported fractal function, (b) resulting FrZP structured mask.

Fig. 3
Fig. 3

JTC scheme used in the experiment: (a) write-in step, (b) read-out step. CS, collimation system; IP, input plane; L 1 and L 2 , lenses; P, polarizer; FP, Fourier frequency plane; OP, output plane.

Fig. 4
Fig. 4

(a) Experimental result showing the right reconstruction of the encrypted input data: the word “CIOp.” (b) System output when the correct decrypting parameters are mismatched.

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