Abstract

An improved optical decryption system based on kinogram encoding is proposed. The decrypted phase image is obtained by optically descrambling the encrypted image with the decrypting phase key. Only a single Fourier lens is needed to generate intensity patterns from the decrypted phase image. The design and simulation results have confirmed the proposed technique as a novel, simple, and robust decryption architecture.

© 2007 Optical Society of America

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References

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2003

2002

J.-S. Yoon and N. Kim, Jpn. J. Appl. Phys. Part 2 41, L305 (2002).
[CrossRef]

2001

M. Yamazaki and J. Ohtsubo, Opt. Eng. 40, 132 (2001).
[CrossRef]

2000

1999

J.-W. Han, C.-S. Park, D.-H. Ryu, and E.-S. Kim, Opt. Eng. 38, 47 (1999).
[CrossRef]

1998

1996

J. Glückstad, Opt. Commun. 130, 225 (1996).
[CrossRef]

1995

1983

S. Kirpatrick, C. D. Gelatt, and M. P. Vecchi, Science 220, 671 (1983).
[CrossRef]

1969

L. B. Lesem, P. M. Hirsch, and J. A. Jordan, IBM J. Res. Dev. 13, 150 (1969).
[CrossRef]

Gelatt, C. D.

S. Kirpatrick, C. D. Gelatt, and M. P. Vecchi, Science 220, 671 (1983).
[CrossRef]

Glückstad, J.

Goodman, J. W.

J. W. Goodman, in Introduction to Fourier Optics, 2nd ed., L.Cox and J.M.Morriss, eds. (McGraw-Hill, 1996), pp. 101-107.

Han, J.-W.

J.-W. Han, C.-S. Park, D.-H. Ryu, and E.-S. Kim, Opt. Eng. 38, 47 (1999).
[CrossRef]

Hirsch, P. M.

L. B. Lesem, P. M. Hirsch, and J. A. Jordan, IBM J. Res. Dev. 13, 150 (1969).
[CrossRef]

Itoh, M.

Javidi, B.

Jordan, J. A.

L. B. Lesem, P. M. Hirsch, and J. A. Jordan, IBM J. Res. Dev. 13, 150 (1969).
[CrossRef]

Kim, E.-S.

J.-W. Han, C.-S. Park, D.-H. Ryu, and E.-S. Kim, Opt. Eng. 38, 47 (1999).
[CrossRef]

Kim, N.

J.-S. Yoon and N. Kim, Jpn. J. Appl. Phys. Part 2 41, L305 (2002).
[CrossRef]

Kim, S.-J.

Kirpatrick, S.

S. Kirpatrick, C. D. Gelatt, and M. P. Vecchi, Science 220, 671 (1983).
[CrossRef]

Lesem, L. B.

L. B. Lesem, P. M. Hirsch, and J. A. Jordan, IBM J. Res. Dev. 13, 150 (1969).
[CrossRef]

Liu, S.

Mogensen, P. C.

Nomura, T.

Ohtsubo, J.

M. Yamazaki and J. Ohtsubo, Opt. Eng. 40, 132 (2001).
[CrossRef]

Park, C.-S.

J.-W. Han, C.-S. Park, D.-H. Ryu, and E.-S. Kim, Opt. Eng. 38, 47 (1999).
[CrossRef]

Ran, Q.

Refregier, P.

Ryu, D.-H.

J.-W. Han, C.-S. Park, D.-H. Ryu, and E.-S. Kim, Opt. Eng. 38, 47 (1999).
[CrossRef]

Seo, D.-H.

Vecchi, M. P.

S. Kirpatrick, C. D. Gelatt, and M. P. Vecchi, Science 220, 671 (1983).
[CrossRef]

Yamazaki, M.

M. Yamazaki and J. Ohtsubo, Opt. Eng. 40, 132 (2001).
[CrossRef]

Yatagai, T.

Yoon, J.-S.

J.-S. Yoon and N. Kim, Jpn. J. Appl. Phys. Part 2 41, L305 (2002).
[CrossRef]

Yoshikawa, N.

Zhu, B.

IBM J. Res. Dev.

L. B. Lesem, P. M. Hirsch, and J. A. Jordan, IBM J. Res. Dev. 13, 150 (1969).
[CrossRef]

Jpn. J. Appl. Phys. Part 2

J.-S. Yoon and N. Kim, Jpn. J. Appl. Phys. Part 2 41, L305 (2002).
[CrossRef]

Opt. Commun.

J. Glückstad, Opt. Commun. 130, 225 (1996).
[CrossRef]

Opt. Eng.

J.-W. Han, C.-S. Park, D.-H. Ryu, and E.-S. Kim, Opt. Eng. 38, 47 (1999).
[CrossRef]

M. Yamazaki and J. Ohtsubo, Opt. Eng. 40, 132 (2001).
[CrossRef]

Opt. Lett.

Science

S. Kirpatrick, C. D. Gelatt, and M. P. Vecchi, Science 220, 671 (1983).
[CrossRef]

Other

J. W. Goodman, in Introduction to Fourier Optics, 2nd ed., L.Cox and J.M.Morriss, eds. (McGraw-Hill, 1996), pp. 101-107.

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Figures (4)

Fig. 1
Fig. 1

Proposed decryption scheme.

Fig. 2
Fig. 2

Image used in the simulation: (a) original image, (b) kinogram, and (c) encrypted image.

Fig. 3
Fig. 3

Output images with (a) correct key, (b) incorrect key.

Fig. 4
Fig. 4

MSEs of 64 × 64 image decrypted with the wrong key, 32 × 32 image, and 64 × 64 image decrypted with the correct keys.

Equations (6)

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f p ( x , y ) = K { f ( x , y ) } ,
e ( x , y ) = f p ( x , y ) r p ( x , y ) ,
r p ( x , y ) = exp [ j π r ( x , y ) ] .
f d ( x , y ) = e ( x , y ) r d ( x , y ) = f p ( x , y ) r p ( x , y ) r d ( x , y ) = f p ( x , y ) .
U ( u , v ) = 1 j λ f exp [ j k 2 f ( 1 d f ) ( u 2 + v 2 ) ] × f p ( x , y ) exp [ j 2 π λ f ( x u + y v ) ] d x d y ,
I ( u , v ) = U ( u , v ) 2 .

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