Abstract

In this Letter, we propose a method for optical image encryption based on diffractive imaging. An optical multiple random phase mask encoding system is applied, and one of the phase-only masks is selected and laterally translated along a preset direction during the encryption process. For image decryption, a phase retrieval algorithm is proposed to extract a high-quality plaintext. The feasibility and effectiveness of the proposed method are demonstrated by numerical results. The proposed method can provide a new strategy instead of conventional interference methods, and it may open up a new research perspective for optical image encryption.

© 2010 Optical Society of America

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[CrossRef]

P. Kumar, A. Kumar, J. Joseph, and K. Singh, Opt. Lett. 34, 331 (2009).
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2006

2004

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[CrossRef] [PubMed]

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[CrossRef] [PubMed]

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Kumar, A.

Kumar, P.

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Kutay, M. A.

H. M. Ozaktas, Z. Zalevsky, and M. A. Kutay, The Fractional Fourier Transform with Applications in Optics and Signal Processing (Wiley, 2001).

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Matoba, O.

O. Matoba, T. Nomura, E. P. Cabré, M. S. Millán, and B. Javidi, Proc. IEEE 97, 1128 (2009).
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McBride, W.

W. McBride, N. L. O’Leary, and L. J. Allen, Phys. Rev. Lett. 93, 233902 (2004).
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O. Matoba, T. Nomura, E. P. Cabré, M. S. Millán, and B. Javidi, Proc. IEEE 97, 1128 (2009).
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Nomura, T.

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W. McBride, N. L. O’Leary, and L. J. Allen, Phys. Rev. Lett. 93, 233902 (2004).
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F. Zhang, G. Pedrini, and W. Osten, Phys. Rev. A 75, 043805 (2007).
[CrossRef]

Ozaktas, H. M.

H. M. Ozaktas, Z. Zalevsky, and M. A. Kutay, The Fractional Fourier Transform with Applications in Optics and Signal Processing (Wiley, 2001).

Pedrini, G.

F. Zhang, G. Pedrini, and W. Osten, Phys. Rev. A 75, 043805 (2007).
[CrossRef]

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[CrossRef]

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Unnikrishnan, G.

Wang, Y. R.

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Yang, X. L.

Yu, L.

Zalevsky, Z.

H. M. Ozaktas, Z. Zalevsky, and M. A. Kutay, The Fractional Fourier Transform with Applications in Optics and Signal Processing (Wiley, 2001).

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F. Zhang, G. Pedrini, and W. Osten, Phys. Rev. A 75, 043805 (2007).
[CrossRef]

Zhang, H.

Zhang, J.

Appl. Opt.

J. Opt. Soc. Am. A

Nature

J. Miao, P. Charalambous, J. Kirz, and D. Sayre, Nature 400, 342 (1999).
[CrossRef]

Opt. Express

Opt. Lett.

Phys. Rev. A

F. Zhang, G. Pedrini, and W. Osten, Phys. Rev. A 75, 043805 (2007).
[CrossRef]

Phys. Rev. Lett.

W. McBride, N. L. O’Leary, and L. J. Allen, Phys. Rev. Lett. 93, 233902 (2004).
[CrossRef] [PubMed]

Phys. Today

B. Javidi, Phys. Today 50, 27 (1997).
[CrossRef]

Proc. IEEE

O. Matoba, T. Nomura, E. P. Cabré, M. S. Millán, and B. Javidi, Proc. IEEE 97, 1128 (2009).
[CrossRef]

Other

H. M. Ozaktas, Z. Zalevsky, and M. A. Kutay, The Fractional Fourier Transform with Applications in Optics and Signal Processing (Wiley, 2001).

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Figures (3)

Fig. 1
Fig. 1

(a) Optical setup for the conventional double random phase mask encryption; (b) optical setup for a multiple random phase mask encoding system.

Fig. 2
Fig. 2

(a) Input image; (b) the original phase-only mask M3; (c) the phase-only mask M3 after a lateral translation with 40 pixels; (d) a typical diffraction intensity map.

Fig. 3
Fig. 3

(a) Relationship between the number of iterations and CC values; (b) a decrypted image using correct security keys.

Equations (2)

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

I h ( ξ , η ) = | FRFT a 4 , a 4 [ ( FRFT a 3 , a 3 { [ FRFT a 2 , a 2 ( { FRFT a 1 , a 1 [ O ( x , y ) M 1 ( x , y ) ] } M 2 ( μ 1 , ν 1 ) ) ] M 3 h ( μ 2 , ν 2 ) } ) M 4 ( μ 3 , ν 3 ) ] | 2 ,
CC = [ cov ( O , O ¯ ) ] / ( σ O · σ O ¯ ) ,

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