Abstract

A simple optical image encryption system with spatially incoherent illumination is proposed. Only one Fourier lens and one random phase plate are contained in this system. The original image is perturbed by a random phase-only mask located on the aperture plane. The encrypted information is the only intensity distribution that can be directly recorded by a CCD or CMOS. The decryption procedure can be performed digitally and the random phase distribution works as the decryption key. Numerical simulations and experimental results demonstrate the validity of the proposed method.

© 2013 Optical Society of America

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References

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2012 (1)

2010 (2)

2009 (4)

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J. Rosen and G. Brooker, Nat. Photonics 2, 190 (2008).
[CrossRef]

Y. Zhang and B. Wang, Opt. Lett. 33, 2443 (2008).
[CrossRef]

2007 (1)

2004 (1)

2001 (2)

2000 (1)

1999 (2)

1995 (2)

Andres, P.

Brooker, G.

J. Rosen and G. Brooker, Nat. Photonics 2, 190 (2008).
[CrossRef]

J. Rosen and G. Brooker, Opt. Lett. 32, 912 (2007).
[CrossRef]

Chang, H.

Clemente, P.

Ding, J.

Durán, V.

Friesem, A. A.

Goodman, J.

J. Goodman, Introduction to Fourier Optics, 2nd ed. (McGraw-Hill, 1996), Chap. 4.

Hwang, H.

Itoh, M.

Javidi, B.

Joseph, J.

Kim, M. K.

Lancis, J.

Li, X.

Lie, W.

Liu, J.

Liu, S.

Lohmann, A. W.

Lv, N.

Matoba, O.

Mi, Q.

Niu, C.

Pe’er, A.

Refregier, P.

Rosen, J.

J. Rosen and G. Brooker, Nat. Photonics 2, 190 (2008).
[CrossRef]

J. Rosen and G. Brooker, Opt. Lett. 32, 912 (2007).
[CrossRef]

Singh, K.

Situ, G.

Tajahuerce, E.

Torres-Company, V.

Unnikrishnan, G.

Wang, B.

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[CrossRef]

Y. Zhang and B. Wang, Opt. Lett. 33, 2443 (2008).
[CrossRef]

Wang, D.

Wang, X.

Wang, Y.

Xie, J. H.

Yatagai, T.

Zhang, H.

Zhang, J.

Zhang, Y.

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[CrossRef]

Y. Zhang and B. Wang, Opt. Lett. 33, 2443 (2008).
[CrossRef]

Zhou, Z.

Zhu, B.

Zhu, N.

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Figures (4)

Fig. 1.
Fig. 1.

Schematic of the proposed image encryption system. SLM, spatial light modulator; RPOM, random phase-only mask.

Fig. 2.
Fig. 2.

Simulation result of the encryption method with spatially incoherent light. (a) The original image to be encrypted, (b) the random phase distribution, (c) the intensity distribution of the encrypted image, and (d) the decrypted image.

Fig. 3.
Fig. 3.

Dependence of RE on the distance d between the input plane and the phase mask.

Fig. 4.
Fig. 4.

Experiment result of the encryption method with spatially incoherent light. (a) The image to be encrypted, (b) the PSF of the system with a random phase-only filter, (c) the encrypted image, and (d) the result of the decryption.

Equations (8)

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Io(xo,yo)=Ii(xi,yi)IP(xoxi,yoyi)dxidyi=[Ii*IP](xo,yo),
Ud(x,y)=1iλdexp[ikλ2d(x2+y2)],
P(x,y)=A(x,y)exp[i2π×rand(x,y)],
Ud(x,y)=Ud(x,y)P(x,y).
Uf(x,y)=exp[ik2f(x2+y2)]R(z1d){Ud(x,y)},
Ip(xo,yo)=|eikz2iλz2Ufexp{ik2z2[(xox)2+(yoy)2]}dxdy|2.
Ii(xi,yi)=F1{F{Io(xo,yo)}F{Ip(xo,yo)}},
RE=m=1Nn=1N|Ii(m,n)Ir(m,n)|m=1Nn=1NIi(m,n),

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