H.-E. Hwang, “Optical color image encryption based on the wavelength multiplexing using cascaded phase-only masks in Fresnel transform domain,” Opt. Commun. 285, 567–573 (2012).

[Crossref]

X. Deng and D. Zhao, “Single channel color image encryption based on asymmetric cryptosystem,” Opt. Laser Technol. 44, 136–140 (2012).

[Crossref]

X. Wang and D. Zhao, “A special attack on the asymmetric cryptosystem based on phase-truncated fractional Fourier transforms,” Opt. Commun. 285, 1078–1081 (2012).

[Crossref]

S. K. Rajput and N. K. Nishchal, “Image encryption based on interference that uses fractional Fourier domains asymmetric keys,” Appl. Opt. 51, 1446–1452 (2012).

[Crossref]

P. Memmolo, A. Finizio, M. Paturzo, P. Ferraro, and B. Javidi, “Multi-wavelength digital holography: reconstruction, synthesis and display of holograms using adaptive transformation,” Opt. Lett. 37, 1445–1447 (2012).

[Crossref]

E. Pérez-Cabré, M. Cho, and B. Javidi, “Information authentication using photon-counting double-random-phase encrypted images,” Opt. Lett. 36, 22–24 (2011).

[Crossref]

B. Yang, Z. Liu, B. Wang, Y. Zhang, and S. Liu, “Optical stream-cipher-like system for image encryption based on Michelson interferometer,” Opt. Express 19, 2634–2642 (2011).

[Crossref]

P. Kumar, J. Joseph, and K. Singh, “Optical image encryption using jigsaw transform for silhouette removal in interference based methods and decryption with single spatial light modulator,” Appl. Opt. 50, 1805–1811 (2011).

[Crossref]

X. Shi and D. Zhao, “Color image hiding based on the phase retrieval technique and Arnold transform,” Appl. Opt. 50, 2134–2139 (2011).

[Crossref]

X. Deng and D. Zhao, “Single channel color image encryption using a modified Gerchberg-Saxton algorithm and mutual encoding in the Fresnel domain,” Appl. Opt. 50, 6019–6025 (2011).

[Crossref]

W. Chen and X. Chen, “Optical color image encryption based on asymmetric cryptosystem in the Fresnel domain,” Opt. Commun. 284, 3913–3917 (2011).

[Crossref]

W. Qin, X. Peng, X. Meng, and B. Gao, “Universal and special keys based on phase-truncated Fourier transform,” Opt. Eng. 50, 080501 (2011).

[Crossref]

M. Joshi and K. Singh, “Simultaneous encryption of a color and a gray-scale image using byte-level encoding based on single-channel double random-phase encoding architecture in fractional Fourier domain,” Opt. Eng. 50, 047007 (2011).

[Crossref]

H. Liu and X. Wang, “Color image encryption using spatial bit-level permutation and high-dimension chaotic system,” Opt. Commun. 284, 3895–3903 (2011).

[Crossref]

N. Zhou, Y. Wang, L. Gong, H. He, and J. Wu, “Novel single channel color image encryption based on chaos and fractional Fourier transform,” Opt. Commun. 284, 2789–2796 (2011).

[Crossref]

N. K. Nishchal and T. J. Naughton, “Flexible optical encryption with multiple users and multiple security levels,” Opt. Commun. 284, 735–739 (2011).

[Crossref]

Z. Liu, L. Xu, T. Liu, H. Chen, P. Li, C. Lin, and S. Liu, “Color image encryption by using Arnold transform and color-blend operation in discrete cosine transform domains,” Opt. Commun. 284, 123–128 (2011).

[Crossref]

X. Li and D. Zhao, “Optical color image encryption with redefined fractional Hartley transform,” Optik 121, 673–677 (2010).

[Crossref]

M. Joshi, C. Shakher, and K. Singh, “Fractional Fourier transform based image multiplexing and encryption technique for four-color images using input images as keys,” Opt. Commun. 283, 2496–2505 (2010).

[Crossref]

C. J. Tay, C. Quan, W. Chen, and Y. Fu, “Color image encryption based on interference and virtual optics,” Opt. Laser Technol. 42, 409–415 (2010).

[Crossref]

W. Qin and X. Peng, “Asymmetric cryptosystem based on phase-truncated Fourier transforms,” Opt. Lett. 35, 118–120(2010).

[Crossref]

C. H. Niu, X. L. Wang, N. G. Lv, Z. H. Zhou, and X. Y. Li, “An encryption method with multiple encrypted keys based on interference principle,” Opt. Express 18, 7827–7834(2010).

[Crossref]

P. Clemente, V. Durán, V. Torres-Company, E. Tajahuerce, and J. Lancis, “Optical encryption based on computational ghost imaging,” Opt. Lett. 35, 2391–2393 (2010).

[Crossref]

W. Chen and X. Chen, “Space-based optical image encryption,” Opt. Express 18, 27095–27104 (2010).

[Crossref]

D. Wei, Q. Ran, Y. Li, J. Ma, and L. Tan, “A convolution and product theorem for the linear canonical transform,” IEEE Trans. Signal Process. Lett. 16, 853–856 (2009).

[Crossref]

L. Chen and D. Zhao, “Color image encoding in dual fractional Fourier-wavelet domain with random phases,” Opt. Commun. 282, 3433–3438 (2009).

[Crossref]

M. Joshi, C. Shakher, and K. Singh, “Phase image encryption of colored images using double random phase encoding techniques in HSV color space,” Opt. Rev. 16, 511–516 (2009).

[Crossref]

Q.-p. Yuan, X.-p. Yang, L.-j. Gao, and H.-c. Zhai, “Color image single-channel encryption based on tricolor grating theory,” Optoelectron. Lett. 5, 0147–0149 (2009).

[Crossref]

W. Chen, C. Quan, and C. J. Tay, “Optical color image encryption based on Arnold transform and interference method,” Opt. Commun. 282, 3680–3685 (2009).

[Crossref]

N. Zhu, Y. Wang, J. Liu, J. Xie, and H. Zhang, “Optical image encryption based on interference of polarized light,” Opt. Express 17, 13418–13424 (2009).

[Crossref]

A. Alfalou and C. Brosseau, “Optical image compression and encryption methods,” Adv. Opt. Photon. 1, 589–636 (2009).

[Crossref]

Y. Frauel, A. Castro, T. J. Naughton, and B. Javidi, “Resistance of the double random phase encryption against various attacks,” Opt. Express 15, 10253–10265 (2007).

[Crossref]

M. Joshi, C. Shakher, and K. Singh, “Color image encryption and decryption using fractional Fourier transform,” Opt. Commun. 279, 35–42 (2007).

[Crossref]

W. Jin, L. Ma, and C. Yan, “Real color fractional Fourier transform holograms,” Opt. Commun. 259, 513–516 (2006).

[Crossref]

M. Testorf, “Design of diffractive optical elements for the fractional Fourier transform domain: phase space approach,” Appl. Opt. 45, 76–82 (2006).

[Crossref]

X. Peng, P. Chang, H. Wei, and B. Yu, “Known plaintext attack on optical encryption based on double random phase keys,” Opt. Lett. 31, 1044–1046 (2006).

[Crossref]

L. Chen and D. Zhao, “Optical color image encryption by wavelength multiplexing and lensless Fresnel transform holograms,” Opt. Express 14, 8552–8560 (2006).

[Crossref]

X. Peng, H. Wie, and P. Zhang, “Asymmetric cryptography based on wavefront sensing,” Opt. Lett. 31, 3579–3581 (2006).

[Crossref]

A. Carnicer, M. Montes-Usategui, S. Arcos, and I. Juvells, “Vulnerability to chosen-cyphertext attacks of the optical encryption schemes based on double random phase keys,” Opt. Lett. 30, 1644–1646 (2005).

[Crossref]

J. F. Barerra, R. Henao, and R. Torroba, “Optical encryption method using toroidal zone plate,” Opt. Commun. 248, 35–40(2005).

[Crossref]

J. F. Barerra, R. Henao, and R. Torroba, “Fault tolerances using toroidal zone plate encryption,” Opt. Commun. 256, 489–494 (2005).

[Crossref]

S. Zhang and M. A. Karim, “Color image encryption using double random phase encoding,” Microwave Opt. Tech. Lett. 21, 318–323 (1999).

[Crossref]

J. F. Barerra, R. Henao, and R. Torroba, “Optical encryption method using toroidal zone plate,” Opt. Commun. 248, 35–40(2005).

[Crossref]

J. F. Barerra, R. Henao, and R. Torroba, “Fault tolerances using toroidal zone plate encryption,” Opt. Commun. 256, 489–494 (2005).

[Crossref]

Y. He, Y. Cao, and X. Lu, “Color image encryption based on orthogonal composite grating and double random phase encoding technique,” Optik (2012) (in press).

Z. Liu, L. Xu, T. Liu, H. Chen, P. Li, C. Lin, and S. Liu, “Color image encryption by using Arnold transform and color-blend operation in discrete cosine transform domains,” Opt. Commun. 284, 123–128 (2011).

[Crossref]

W. Chen and X. Chen, “Optical color image encryption based on asymmetric cryptosystem in the Fresnel domain,” Opt. Commun. 284, 3913–3917 (2011).

[Crossref]

C. J. Tay, C. Quan, W. Chen, and Y. Fu, “Color image encryption based on interference and virtual optics,” Opt. Laser Technol. 42, 409–415 (2010).

[Crossref]

W. Chen and X. Chen, “Space-based optical image encryption,” Opt. Express 18, 27095–27104 (2010).

[Crossref]

W. Chen, C. Quan, and C. J. Tay, “Optical color image encryption based on Arnold transform and interference method,” Opt. Commun. 282, 3680–3685 (2009).

[Crossref]

F. Xu, R. C. Tyan, Y. Fainman, and J. E. Ford, “Single-substrate birefringent computer generated holograms,” Opt. Lett. 21, 516–518 (1996).

[Crossref]

J. E. Ford, F. Xu, K. Urquhart, and Y. Fainman, “Polarization-selective computer-generated holograms,” Opt. Lett. 18, 456–458 (1993).

[Crossref]

F. Xu, R. C. Tyan, Y. Fainman, and J. E. Ford, “Single-substrate birefringent computer generated holograms,” Opt. Lett. 21, 516–518 (1996).

[Crossref]

J. E. Ford, F. Xu, K. Urquhart, and Y. Fainman, “Polarization-selective computer-generated holograms,” Opt. Lett. 18, 456–458 (1993).

[Crossref]

C. J. Tay, C. Quan, W. Chen, and Y. Fu, “Color image encryption based on interference and virtual optics,” Opt. Laser Technol. 42, 409–415 (2010).

[Crossref]

W. Qin, X. Peng, X. Meng, and B. Gao, “Universal and special keys based on phase-truncated Fourier transform,” Opt. Eng. 50, 080501 (2011).

[Crossref]

Q.-p. Yuan, X.-p. Yang, L.-j. Gao, and H.-c. Zhai, “Color image single-channel encryption based on tricolor grating theory,” Optoelectron. Lett. 5, 0147–0149 (2009).

[Crossref]

N. Zhou, Y. Wang, L. Gong, H. He, and J. Wu, “Novel single channel color image encryption based on chaos and fractional Fourier transform,” Opt. Commun. 284, 2789–2796 (2011).

[Crossref]

N. Zhou, Y. Wang, L. Gong, H. He, and J. Wu, “Novel single channel color image encryption based on chaos and fractional Fourier transform,” Opt. Commun. 284, 2789–2796 (2011).

[Crossref]

Y. He, Y. Cao, and X. Lu, “Color image encryption based on orthogonal composite grating and double random phase encoding technique,” Optik (2012) (in press).

J. F. Barerra, R. Henao, and R. Torroba, “Fault tolerances using toroidal zone plate encryption,” Opt. Commun. 256, 489–494 (2005).

[Crossref]

J. F. Barerra, R. Henao, and R. Torroba, “Optical encryption method using toroidal zone plate,” Opt. Commun. 248, 35–40(2005).

[Crossref]

H.-E. Hwang, “Optical color image encryption based on the wavelength multiplexing using cascaded phase-only masks in Fresnel transform domain,” Opt. Commun. 285, 567–573 (2012).

[Crossref]

P. Memmolo, A. Finizio, M. Paturzo, P. Ferraro, and B. Javidi, “Multi-wavelength digital holography: reconstruction, synthesis and display of holograms using adaptive transformation,” Opt. Lett. 37, 1445–1447 (2012).

[Crossref]

E. Pérez-Cabré, M. Cho, and B. Javidi, “Information authentication using photon-counting double-random-phase encrypted images,” Opt. Lett. 36, 22–24 (2011).

[Crossref]

Y. Frauel, A. Castro, T. J. Naughton, and B. Javidi, “Resistance of the double random phase encryption against various attacks,” Opt. Express 15, 10253–10265 (2007).

[Crossref]

P. Refregier and B. Javidi, “Optical image encryption based on input plane encoding and Fourier plane random encoding,” Opt. Lett. 20, 767–769 (1995).

[Crossref]

W. Jin, L. Ma, and C. Yan, “Real color fractional Fourier transform holograms,” Opt. Commun. 259, 513–516 (2006).

[Crossref]

M. Joshi and K. Singh, “Simultaneous encryption of a color and a gray-scale image using byte-level encoding based on single-channel double random-phase encoding architecture in fractional Fourier domain,” Opt. Eng. 50, 047007 (2011).

[Crossref]

M. Joshi, C. Shakher, and K. Singh, “Fractional Fourier transform based image multiplexing and encryption technique for four-color images using input images as keys,” Opt. Commun. 283, 2496–2505 (2010).

[Crossref]

M. Joshi, C. Shakher, and K. Singh, “Phase image encryption of colored images using double random phase encoding techniques in HSV color space,” Opt. Rev. 16, 511–516 (2009).

[Crossref]

M. Joshi, C. Shakher, and K. Singh, “Color image encryption and decryption using fractional Fourier transform,” Opt. Commun. 279, 35–42 (2007).

[Crossref]

S. Zhang and M. A. Karim, “Color image encryption using double random phase encoding,” Microwave Opt. Tech. Lett. 21, 318–323 (1999).

[Crossref]

Z. Liu, L. Xu, T. Liu, H. Chen, P. Li, C. Lin, and S. Liu, “Color image encryption by using Arnold transform and color-blend operation in discrete cosine transform domains,” Opt. Commun. 284, 123–128 (2011).

[Crossref]

X. Li and D. Zhao, “Optical color image encryption with redefined fractional Hartley transform,” Optik 121, 673–677 (2010).

[Crossref]

D. Wei, Q. Ran, Y. Li, J. Ma, and L. Tan, “A convolution and product theorem for the linear canonical transform,” IEEE Trans. Signal Process. Lett. 16, 853–856 (2009).

[Crossref]

Z. Liu, L. Xu, T. Liu, H. Chen, P. Li, C. Lin, and S. Liu, “Color image encryption by using Arnold transform and color-blend operation in discrete cosine transform domains,” Opt. Commun. 284, 123–128 (2011).

[Crossref]

H. Liu and X. Wang, “Color image encryption using spatial bit-level permutation and high-dimension chaotic system,” Opt. Commun. 284, 3895–3903 (2011).

[Crossref]

B. Yang, Z. Liu, B. Wang, Y. Zhang, and S. Liu, “Optical stream-cipher-like system for image encryption based on Michelson interferometer,” Opt. Express 19, 2634–2642 (2011).

[Crossref]

Z. Liu, L. Xu, T. Liu, H. Chen, P. Li, C. Lin, and S. Liu, “Color image encryption by using Arnold transform and color-blend operation in discrete cosine transform domains,” Opt. Commun. 284, 123–128 (2011).

[Crossref]

Z. Liu, L. Xu, T. Liu, H. Chen, P. Li, C. Lin, and S. Liu, “Color image encryption by using Arnold transform and color-blend operation in discrete cosine transform domains,” Opt. Commun. 284, 123–128 (2011).

[Crossref]

Z. Liu, L. Xu, T. Liu, H. Chen, P. Li, C. Lin, and S. Liu, “Color image encryption by using Arnold transform and color-blend operation in discrete cosine transform domains,” Opt. Commun. 284, 123–128 (2011).

[Crossref]

B. Yang, Z. Liu, B. Wang, Y. Zhang, and S. Liu, “Optical stream-cipher-like system for image encryption based on Michelson interferometer,” Opt. Express 19, 2634–2642 (2011).

[Crossref]

Y. He, Y. Cao, and X. Lu, “Color image encryption based on orthogonal composite grating and double random phase encoding technique,” Optik (2012) (in press).

D. Wei, Q. Ran, Y. Li, J. Ma, and L. Tan, “A convolution and product theorem for the linear canonical transform,” IEEE Trans. Signal Process. Lett. 16, 853–856 (2009).

[Crossref]

W. Jin, L. Ma, and C. Yan, “Real color fractional Fourier transform holograms,” Opt. Commun. 259, 513–516 (2006).

[Crossref]

W. Qin, X. Peng, X. Meng, and B. Gao, “Universal and special keys based on phase-truncated Fourier transform,” Opt. Eng. 50, 080501 (2011).

[Crossref]

N. K. Nishchal and T. J. Naughton, “Flexible optical encryption with multiple users and multiple security levels,” Opt. Commun. 284, 735–739 (2011).

[Crossref]

T. J. Naughton, B. M. Hennelly, and T. Dowling, “Introducing secure modes of operation for optical encryption,” J. Opt. Soc. Am. A 25, 2608–2617 (2008).

[Crossref]

Y. Frauel, A. Castro, T. J. Naughton, and B. Javidi, “Resistance of the double random phase encryption against various attacks,” Opt. Express 15, 10253–10265 (2007).

[Crossref]

W. Qin, X. Peng, X. Meng, and B. Gao, “Universal and special keys based on phase-truncated Fourier transform,” Opt. Eng. 50, 080501 (2011).

[Crossref]

W. Qin and X. Peng, “Asymmetric cryptosystem based on phase-truncated Fourier transforms,” Opt. Lett. 35, 118–120(2010).

[Crossref]

X. Peng, P. Chang, H. Wei, and B. Yu, “Known plaintext attack on optical encryption based on double random phase keys,” Opt. Lett. 31, 1044–1046 (2006).

[Crossref]

X. Peng, H. Wie, and P. Zhang, “Asymmetric cryptography based on wavefront sensing,” Opt. Lett. 31, 3579–3581 (2006).

[Crossref]

C. J. Tay, C. Quan, W. Chen, and Y. Fu, “Color image encryption based on interference and virtual optics,” Opt. Laser Technol. 42, 409–415 (2010).

[Crossref]

W. Chen, C. Quan, and C. J. Tay, “Optical color image encryption based on Arnold transform and interference method,” Opt. Commun. 282, 3680–3685 (2009).

[Crossref]

D. Wei, Q. Ran, Y. Li, J. Ma, and L. Tan, “A convolution and product theorem for the linear canonical transform,” IEEE Trans. Signal Process. Lett. 16, 853–856 (2009).

[Crossref]

M. Joshi, C. Shakher, and K. Singh, “Fractional Fourier transform based image multiplexing and encryption technique for four-color images using input images as keys,” Opt. Commun. 283, 2496–2505 (2010).

[Crossref]

M. Joshi, C. Shakher, and K. Singh, “Phase image encryption of colored images using double random phase encoding techniques in HSV color space,” Opt. Rev. 16, 511–516 (2009).

[Crossref]

M. Joshi, C. Shakher, and K. Singh, “Color image encryption and decryption using fractional Fourier transform,” Opt. Commun. 279, 35–42 (2007).

[Crossref]

P. Kumar, J. Joseph, and K. Singh, “Optical image encryption using jigsaw transform for silhouette removal in interference based methods and decryption with single spatial light modulator,” Appl. Opt. 50, 1805–1811 (2011).

[Crossref]

M. Joshi and K. Singh, “Simultaneous encryption of a color and a gray-scale image using byte-level encoding based on single-channel double random-phase encoding architecture in fractional Fourier domain,” Opt. Eng. 50, 047007 (2011).

[Crossref]

M. Joshi, C. Shakher, and K. Singh, “Fractional Fourier transform based image multiplexing and encryption technique for four-color images using input images as keys,” Opt. Commun. 283, 2496–2505 (2010).

[Crossref]

M. Joshi, C. Shakher, and K. Singh, “Phase image encryption of colored images using double random phase encoding techniques in HSV color space,” Opt. Rev. 16, 511–516 (2009).

[Crossref]

M. Joshi, C. Shakher, and K. Singh, “Color image encryption and decryption using fractional Fourier transform,” Opt. Commun. 279, 35–42 (2007).

[Crossref]

W. Stallings, Cryptography and Network Security: Principles and Practice, 5th ed. (Prentice Hall, 2011).

D. Wei, Q. Ran, Y. Li, J. Ma, and L. Tan, “A convolution and product theorem for the linear canonical transform,” IEEE Trans. Signal Process. Lett. 16, 853–856 (2009).

[Crossref]

C. J. Tay, C. Quan, W. Chen, and Y. Fu, “Color image encryption based on interference and virtual optics,” Opt. Laser Technol. 42, 409–415 (2010).

[Crossref]

W. Chen, C. Quan, and C. J. Tay, “Optical color image encryption based on Arnold transform and interference method,” Opt. Commun. 282, 3680–3685 (2009).

[Crossref]

J. F. Barerra, R. Henao, and R. Torroba, “Optical encryption method using toroidal zone plate,” Opt. Commun. 248, 35–40(2005).

[Crossref]

J. F. Barerra, R. Henao, and R. Torroba, “Fault tolerances using toroidal zone plate encryption,” Opt. Commun. 256, 489–494 (2005).

[Crossref]

B. Yang, Z. Liu, B. Wang, Y. Zhang, and S. Liu, “Optical stream-cipher-like system for image encryption based on Michelson interferometer,” Opt. Express 19, 2634–2642 (2011).

[Crossref]

Y. Zhang and B. Wang, “Optical image encryption based on interference,” Opt. Lett. 33, 2443–2445 (2008).

[Crossref]

X. Wang and D. Zhao, “A special attack on the asymmetric cryptosystem based on phase-truncated fractional Fourier transforms,” Opt. Commun. 285, 1078–1081 (2012).

[Crossref]

H. Liu and X. Wang, “Color image encryption using spatial bit-level permutation and high-dimension chaotic system,” Opt. Commun. 284, 3895–3903 (2011).

[Crossref]

N. Zhou, Y. Wang, L. Gong, H. He, and J. Wu, “Novel single channel color image encryption based on chaos and fractional Fourier transform,” Opt. Commun. 284, 2789–2796 (2011).

[Crossref]

N. Zhu, Y. Wang, J. Liu, J. Xie, and H. Zhang, “Optical image encryption based on interference of polarized light,” Opt. Express 17, 13418–13424 (2009).

[Crossref]

D. Wei, Q. Ran, Y. Li, J. Ma, and L. Tan, “A convolution and product theorem for the linear canonical transform,” IEEE Trans. Signal Process. Lett. 16, 853–856 (2009).

[Crossref]

N. Zhou, Y. Wang, L. Gong, H. He, and J. Wu, “Novel single channel color image encryption based on chaos and fractional Fourier transform,” Opt. Commun. 284, 2789–2796 (2011).

[Crossref]

F. Xu, R. C. Tyan, Y. Fainman, and J. E. Ford, “Single-substrate birefringent computer generated holograms,” Opt. Lett. 21, 516–518 (1996).

[Crossref]

J. E. Ford, F. Xu, K. Urquhart, and Y. Fainman, “Polarization-selective computer-generated holograms,” Opt. Lett. 18, 456–458 (1993).

[Crossref]

Z. Liu, L. Xu, T. Liu, H. Chen, P. Li, C. Lin, and S. Liu, “Color image encryption by using Arnold transform and color-blend operation in discrete cosine transform domains,” Opt. Commun. 284, 123–128 (2011).

[Crossref]

W. Jin, L. Ma, and C. Yan, “Real color fractional Fourier transform holograms,” Opt. Commun. 259, 513–516 (2006).

[Crossref]

Q.-p. Yuan, X.-p. Yang, L.-j. Gao, and H.-c. Zhai, “Color image single-channel encryption based on tricolor grating theory,” Optoelectron. Lett. 5, 0147–0149 (2009).

[Crossref]

Q.-p. Yuan, X.-p. Yang, L.-j. Gao, and H.-c. Zhai, “Color image single-channel encryption based on tricolor grating theory,” Optoelectron. Lett. 5, 0147–0149 (2009).

[Crossref]

Q.-p. Yuan, X.-p. Yang, L.-j. Gao, and H.-c. Zhai, “Color image single-channel encryption based on tricolor grating theory,” Optoelectron. Lett. 5, 0147–0149 (2009).

[Crossref]

S. Zhang and M. A. Karim, “Color image encryption using double random phase encoding,” Microwave Opt. Tech. Lett. 21, 318–323 (1999).

[Crossref]

B. Yang, Z. Liu, B. Wang, Y. Zhang, and S. Liu, “Optical stream-cipher-like system for image encryption based on Michelson interferometer,” Opt. Express 19, 2634–2642 (2011).

[Crossref]

Y. Zhang and B. Wang, “Optical image encryption based on interference,” Opt. Lett. 33, 2443–2445 (2008).

[Crossref]

X. Wang and D. Zhao, “A special attack on the asymmetric cryptosystem based on phase-truncated fractional Fourier transforms,” Opt. Commun. 285, 1078–1081 (2012).

[Crossref]

X. Deng and D. Zhao, “Single channel color image encryption based on asymmetric cryptosystem,” Opt. Laser Technol. 44, 136–140 (2012).

[Crossref]

X. Shi and D. Zhao, “Color image hiding based on the phase retrieval technique and Arnold transform,” Appl. Opt. 50, 2134–2139 (2011).

[Crossref]

X. Deng and D. Zhao, “Single channel color image encryption using a modified Gerchberg-Saxton algorithm and mutual encoding in the Fresnel domain,” Appl. Opt. 50, 6019–6025 (2011).

[Crossref]

X. Li and D. Zhao, “Optical color image encryption with redefined fractional Hartley transform,” Optik 121, 673–677 (2010).

[Crossref]

L. Chen and D. Zhao, “Color image encoding in dual fractional Fourier-wavelet domain with random phases,” Opt. Commun. 282, 3433–3438 (2009).

[Crossref]

L. Chen and D. Zhao, “Optical color image encryption by wavelength multiplexing and lensless Fresnel transform holograms,” Opt. Express 14, 8552–8560 (2006).

[Crossref]

N. Zhou, Y. Wang, L. Gong, H. He, and J. Wu, “Novel single channel color image encryption based on chaos and fractional Fourier transform,” Opt. Commun. 284, 2789–2796 (2011).

[Crossref]

P. Kumar, J. Joseph, and K. Singh, “Optical image encryption using jigsaw transform for silhouette removal in interference based methods and decryption with single spatial light modulator,” Appl. Opt. 50, 1805–1811 (2011).

[Crossref]

X. Shi and D. Zhao, “Color image hiding based on the phase retrieval technique and Arnold transform,” Appl. Opt. 50, 2134–2139 (2011).

[Crossref]

X. Deng and D. Zhao, “Single channel color image encryption using a modified Gerchberg-Saxton algorithm and mutual encoding in the Fresnel domain,” Appl. Opt. 50, 6019–6025 (2011).

[Crossref]

S. K. Rajput and N. K. Nishchal, “Image encryption based on interference that uses fractional Fourier domains asymmetric keys,” Appl. Opt. 51, 1446–1452 (2012).

[Crossref]

M. Testorf, “Design of diffractive optical elements for the fractional Fourier transform domain: phase space approach,” Appl. Opt. 45, 76–82 (2006).

[Crossref]

D. Wei, Q. Ran, Y. Li, J. Ma, and L. Tan, “A convolution and product theorem for the linear canonical transform,” IEEE Trans. Signal Process. Lett. 16, 853–856 (2009).

[Crossref]

S. Zhang and M. A. Karim, “Color image encryption using double random phase encoding,” Microwave Opt. Tech. Lett. 21, 318–323 (1999).

[Crossref]

W. Chen, C. Quan, and C. J. Tay, “Optical color image encryption based on Arnold transform and interference method,” Opt. Commun. 282, 3680–3685 (2009).

[Crossref]

Z. Liu, L. Xu, T. Liu, H. Chen, P. Li, C. Lin, and S. Liu, “Color image encryption by using Arnold transform and color-blend operation in discrete cosine transform domains,” Opt. Commun. 284, 123–128 (2011).

[Crossref]

W. Jin, L. Ma, and C. Yan, “Real color fractional Fourier transform holograms,” Opt. Commun. 259, 513–516 (2006).

[Crossref]

M. Joshi, C. Shakher, and K. Singh, “Color image encryption and decryption using fractional Fourier transform,” Opt. Commun. 279, 35–42 (2007).

[Crossref]

N. K. Nishchal and T. J. Naughton, “Flexible optical encryption with multiple users and multiple security levels,” Opt. Commun. 284, 735–739 (2011).

[Crossref]

J. F. Barerra, R. Henao, and R. Torroba, “Optical encryption method using toroidal zone plate,” Opt. Commun. 248, 35–40(2005).

[Crossref]

J. F. Barerra, R. Henao, and R. Torroba, “Fault tolerances using toroidal zone plate encryption,” Opt. Commun. 256, 489–494 (2005).

[Crossref]

L. Chen and D. Zhao, “Color image encoding in dual fractional Fourier-wavelet domain with random phases,” Opt. Commun. 282, 3433–3438 (2009).

[Crossref]

M. Joshi, C. Shakher, and K. Singh, “Fractional Fourier transform based image multiplexing and encryption technique for four-color images using input images as keys,” Opt. Commun. 283, 2496–2505 (2010).

[Crossref]

H. Liu and X. Wang, “Color image encryption using spatial bit-level permutation and high-dimension chaotic system,” Opt. Commun. 284, 3895–3903 (2011).

[Crossref]

N. Zhou, Y. Wang, L. Gong, H. He, and J. Wu, “Novel single channel color image encryption based on chaos and fractional Fourier transform,” Opt. Commun. 284, 2789–2796 (2011).

[Crossref]

H.-E. Hwang, “Optical color image encryption based on the wavelength multiplexing using cascaded phase-only masks in Fresnel transform domain,” Opt. Commun. 285, 567–573 (2012).

[Crossref]

W. Chen and X. Chen, “Optical color image encryption based on asymmetric cryptosystem in the Fresnel domain,” Opt. Commun. 284, 3913–3917 (2011).

[Crossref]

X. Wang and D. Zhao, “A special attack on the asymmetric cryptosystem based on phase-truncated fractional Fourier transforms,” Opt. Commun. 285, 1078–1081 (2012).

[Crossref]

W. Qin, X. Peng, X. Meng, and B. Gao, “Universal and special keys based on phase-truncated Fourier transform,” Opt. Eng. 50, 080501 (2011).

[Crossref]

M. Joshi and K. Singh, “Simultaneous encryption of a color and a gray-scale image using byte-level encoding based on single-channel double random-phase encoding architecture in fractional Fourier domain,” Opt. Eng. 50, 047007 (2011).

[Crossref]

N. Zhu, Y. Wang, J. Liu, J. Xie, and H. Zhang, “Optical image encryption based on interference of polarized light,” Opt. Express 17, 13418–13424 (2009).

[Crossref]

C. H. Niu, X. L. Wang, N. G. Lv, Z. H. Zhou, and X. Y. Li, “An encryption method with multiple encrypted keys based on interference principle,” Opt. Express 18, 7827–7834(2010).

[Crossref]

W. Chen and X. Chen, “Space-based optical image encryption,” Opt. Express 18, 27095–27104 (2010).

[Crossref]

B. Yang, Z. Liu, B. Wang, Y. Zhang, and S. Liu, “Optical stream-cipher-like system for image encryption based on Michelson interferometer,” Opt. Express 19, 2634–2642 (2011).

[Crossref]

L. Chen and D. Zhao, “Optical color image encryption by wavelength multiplexing and lensless Fresnel transform holograms,” Opt. Express 14, 8552–8560 (2006).

[Crossref]

Y. Frauel, A. Castro, T. J. Naughton, and B. Javidi, “Resistance of the double random phase encryption against various attacks,” Opt. Express 15, 10253–10265 (2007).

[Crossref]

X. Deng and D. Zhao, “Single channel color image encryption based on asymmetric cryptosystem,” Opt. Laser Technol. 44, 136–140 (2012).

[Crossref]

C. J. Tay, C. Quan, W. Chen, and Y. Fu, “Color image encryption based on interference and virtual optics,” Opt. Laser Technol. 42, 409–415 (2010).

[Crossref]

Y. Zhang and B. Wang, “Optical image encryption based on interference,” Opt. Lett. 33, 2443–2445 (2008).

[Crossref]

X. Peng, H. Wie, and P. Zhang, “Asymmetric cryptography based on wavefront sensing,” Opt. Lett. 31, 3579–3581 (2006).

[Crossref]

W. Qin and X. Peng, “Asymmetric cryptosystem based on phase-truncated Fourier transforms,” Opt. Lett. 35, 118–120(2010).

[Crossref]

E. Pérez-Cabré, M. Cho, and B. Javidi, “Information authentication using photon-counting double-random-phase encrypted images,” Opt. Lett. 36, 22–24 (2011).

[Crossref]

P. Clemente, V. Durán, V. Torres-Company, E. Tajahuerce, and J. Lancis, “Optical encryption based on computational ghost imaging,” Opt. Lett. 35, 2391–2393 (2010).

[Crossref]

P. Refregier and B. Javidi, “Optical image encryption based on input plane encoding and Fourier plane random encoding,” Opt. Lett. 20, 767–769 (1995).

[Crossref]

F. Xu, R. C. Tyan, Y. Fainman, and J. E. Ford, “Single-substrate birefringent computer generated holograms,” Opt. Lett. 21, 516–518 (1996).

[Crossref]

J. E. Ford, F. Xu, K. Urquhart, and Y. Fainman, “Polarization-selective computer-generated holograms,” Opt. Lett. 18, 456–458 (1993).

[Crossref]

A. Carnicer, M. Montes-Usategui, S. Arcos, and I. Juvells, “Vulnerability to chosen-cyphertext attacks of the optical encryption schemes based on double random phase keys,” Opt. Lett. 30, 1644–1646 (2005).

[Crossref]

X. Peng, P. Chang, H. Wei, and B. Yu, “Known plaintext attack on optical encryption based on double random phase keys,” Opt. Lett. 31, 1044–1046 (2006).

[Crossref]

P. Memmolo, A. Finizio, M. Paturzo, P. Ferraro, and B. Javidi, “Multi-wavelength digital holography: reconstruction, synthesis and display of holograms using adaptive transformation,” Opt. Lett. 37, 1445–1447 (2012).

[Crossref]

M. Joshi, C. Shakher, and K. Singh, “Phase image encryption of colored images using double random phase encoding techniques in HSV color space,” Opt. Rev. 16, 511–516 (2009).

[Crossref]

X. Li and D. Zhao, “Optical color image encryption with redefined fractional Hartley transform,” Optik 121, 673–677 (2010).

[Crossref]

Q.-p. Yuan, X.-p. Yang, L.-j. Gao, and H.-c. Zhai, “Color image single-channel encryption based on tricolor grating theory,” Optoelectron. Lett. 5, 0147–0149 (2009).

[Crossref]

Y. He, Y. Cao, and X. Lu, “Color image encryption based on orthogonal composite grating and double random phase encoding technique,” Optik (2012) (in press).

W. Stallings, Cryptography and Network Security: Principles and Practice, 5th ed. (Prentice Hall, 2011).