Z. Liu and S. Liu, “Double image encryption based on iterative
fractional Fourier transform,” Opt. Commun. 275, 324–329 (2007).
[Crossref]
X. Wang, D. Zhao, F. Jing, and X. Wei, “Information synthesis (complex amplitude addition
and subtraction) and encryption with digital holography and virtual
optics” Opt. Exp. 14, 1476–1486 (2006).
[Crossref]
G. Situ and J. Zhang, “Position multiplexing for multiple-image
encryption,” J. Opt. A: Pure Appl. Opt. 8, 391 (2006).
[Crossref]
M. S. Millán, E. Pérez-Cabré, and B. Javidi, “Multifactor authentication reinforces optical
security,” Opt. Lett. 31, 721–723 (2006).
[Crossref]
G. Situ and J. Zhang, “Multiple-image encryption by wavelength
multiplexing,” Opt. Lett. 30, 1306–1308 (2005).
[Crossref]
[PubMed]
X. F. Meng, L. Z. Cai, M. Z. He, G. Y. Dong, and X. X. Shen, “Cross-talk-free double-image encryption and
watermarking with amplitude-phase separate modulations,” J. Opt. A: Pure Appl. Opt. 7, 624 (2005).
[Crossref]
J. Zhao, H. Lu, X.S. Song, J.F. Li, and Y.H. Ma, “Optical image encryption based on multistage
fractional Fourier transforms and pixel scrambling technique,” Opt. Commun. 249, 493–499, (2005).
[Crossref]
A. Sinha and K. Singh, “Image encryption by using fractional Fourier
transform and jigsaw transform in image bit planes,” Opt.
Eng. 44, 057001 (2005).
[Crossref]
N. K. Nishchal, J. Joseph, and K. Singh, “Fully phase-based encryption using fractional order
Fourier domain random phase encoding: Error analysis,” Opt. Eng. 43, 2266–2273 (2004).
[Crossref]
N. K. Nishchal, J. Joseph, and K. Singh, “Fully phase-encrypted memory using cascaded extended
fractional Fourier transform,” Opt. Lasers Eng. 42, 141–151 (2004).
[Crossref]
N. K. Nishchal, G. Unnikrishnan, J. Joseph, and K. Singh, “Optical encryption using a localized fractional
Fourier transform,” Opt. Eng. 42, 3566–3571, (2003).
[Crossref]
N. K. Nishchal, J. Joseph, and K. Singh, “Fully phase encryption using fractional Fourier
transform,” Opt. Eng. 42, 1583–1588 (2003).
[Crossref]
B. Hennelly and J. T. Sheridan, “Optical image encryption by random shifting in
fractional Fourier domains,” Opt. Lett. 28, 269–271 (2003).
[Crossref]
[PubMed]
Y. Zhang, C.H. Zheng, and N. Tanno, “Optical encryption based on iterative fractional
Fourier transform,” Opt. Commun. 202, 277–285, (2002).
[Crossref]
B. Zhu and S. Liu, “Optical Image encryption based on the generalized
fractional convolution operation,” Opt. Commun. 195, 371–381, (2001).
[Crossref]
G. Unnikrishnan and K. Singh, “Optical encryption using quadratic phase
systems,” Opt. Commun. 193, 51–67, (2001).
[Crossref]
B. Zhu and S. Liu, “Optical Image encryption with multistage and
multichannel fractional Fourier-domain filtering,” Opt.
Lett. 26, 1242–1244, (2001).
[Crossref]
B. Javidi, N. Towghi, N. Maghzi, and S. C. Verrall, “Error-reduction techniques and error analysis for
fully phase- and amplitude-based encryption,” Appl.
Opt. 39, 4117–4130 (2000).
[Crossref]
G. Unnikrishnan and K. Singh, “Double random fractional Fourier-domain encoding for
optical security,” Opt. Eng. 39, 2853–2859 (2000).
[Crossref]
G. Unnikrishnan, J. Joseph, and K. Singh, “Optical encryption by double random phase encoding
in the fractional Fourier domain,” Opt. Lett. 25, 887–889 (2000).
[Crossref]
J. Hua, L. Liu, and G. Li, “Extended fractional Fourier
transforms,” J. Opt. Soc. Am. A 14, 3316–3322 (1997).
[Crossref]
B. Javidi, A. Sergent, G. Zhang, and L. Guibert, “Fault tolerance properties of a double phase
encoding encryption technique,” Opt. Eng. 36, 992–998 (1997).
[Crossref]
X. F. Meng, L. Z. Cai, M. Z. He, G. Y. Dong, and X. X. Shen, “Cross-talk-free double-image encryption and
watermarking with amplitude-phase separate modulations,” J. Opt. A: Pure Appl. Opt. 7, 624 (2005).
[Crossref]
L. F. Chen and D. M. Zhao, “Optical color image encryption by wavelength
multiplexing and lensless Fresnel transform holograms,” Opt. Exp.14, 8552–8560 (2006), http://www.opticsexpress.org/abstract.cfm?URI=OPEX-14-19-8552.
[Crossref]
X. F. Meng, L. Z. Cai, M. Z. He, G. Y. Dong, and X. X. Shen, “Cross-talk-free double-image encryption and
watermarking with amplitude-phase separate modulations,” J. Opt. A: Pure Appl. Opt. 7, 624 (2005).
[Crossref]
B. Javidi, A. Sergent, G. Zhang, and L. Guibert, “Fault tolerance properties of a double phase
encoding encryption technique,” Opt. Eng. 36, 992–998 (1997).
[Crossref]
X. F. Meng, L. Z. Cai, M. Z. He, G. Y. Dong, and X. X. Shen, “Cross-talk-free double-image encryption and
watermarking with amplitude-phase separate modulations,” J. Opt. A: Pure Appl. Opt. 7, 624 (2005).
[Crossref]
M. S. Millán, E. Pérez-Cabré, and B. Javidi, “Multifactor authentication reinforces optical
security,” Opt. Lett. 31, 721–723 (2006).
[Crossref]
B. Javidi, N. Towghi, N. Maghzi, and S. C. Verrall, “Error-reduction techniques and error analysis for
fully phase- and amplitude-based encryption,” Appl.
Opt. 39, 4117–4130 (2000).
[Crossref]
O. Matoba and B. Javidi, “Encrypted optical memory system using
three-dimensional keys in the Fresnel domain,” Opt.
Lett. 24, 762–764 (1999).
[Crossref]
N. Towghi, B. Javidi, and Z. Luo, “Fully phase encrypted image
processor,” J. Opt. Soc. Am. A 16, 1915 (1999).
[Crossref]
B. Javidi, A. Sergent, G. Zhang, and L. Guibert, “Fault tolerance properties of a double phase
encoding encryption technique,” Opt. Eng. 36, 992–998 (1997).
[Crossref]
P. Refregier and B. Javidi, “Optical image encryption based on input plane and
Fourier plane random encoding,” Opt. Lett. 20, 767–769 (1995).
[Crossref]
[PubMed]
X. Wang, D. Zhao, F. Jing, and X. Wei, “Information synthesis (complex amplitude addition
and subtraction) and encryption with digital holography and virtual
optics” Opt. Exp. 14, 1476–1486 (2006).
[Crossref]
N. K. Nishchal, J. Joseph, and K. Singh, “Fully phase-encrypted memory using cascaded extended
fractional Fourier transform,” Opt. Lasers Eng. 42, 141–151 (2004).
[Crossref]
N. K. Nishchal, J. Joseph, and K. Singh, “Fully phase-based encryption using fractional order
Fourier domain random phase encoding: Error analysis,” Opt. Eng. 43, 2266–2273 (2004).
[Crossref]
N. K. Nishchal, G. Unnikrishnan, J. Joseph, and K. Singh, “Optical encryption using a localized fractional
Fourier transform,” Opt. Eng. 42, 3566–3571, (2003).
[Crossref]
N. K. Nishchal, J. Joseph, and K. Singh, “Fully phase encryption using fractional Fourier
transform,” Opt. Eng. 42, 1583–1588 (2003).
[Crossref]
G. Unnikrishnan, J. Joseph, and K. Singh, “Optical encryption by double random phase encoding
in the fractional Fourier domain,” Opt. Lett. 25, 887–889 (2000).
[Crossref]
H. M. Ozaktas, Z. Zalevsky, and M. A. Kutay, The fractional Fourier transform with Applications in Optics
and Signal Processing. (John Wiley & Sons, Chichester, 2001).
J. Zhao, H. Lu, X.S. Song, J.F. Li, and Y.H. Ma, “Optical image encryption based on multistage
fractional Fourier transforms and pixel scrambling technique,” Opt. Commun. 249, 493–499, (2005).
[Crossref]
Z. Liu and S. Liu, “Double image encryption based on iterative
fractional Fourier transform,” Opt. Commun. 275, 324–329 (2007).
[Crossref]
B. Zhu and S. Liu, “Optical Image encryption based on the generalized
fractional convolution operation,” Opt. Commun. 195, 371–381, (2001).
[Crossref]
B. Zhu and S. Liu, “Optical Image encryption with multistage and
multichannel fractional Fourier-domain filtering,” Opt.
Lett. 26, 1242–1244, (2001).
[Crossref]
Z. Liu and S. Liu, “Double image encryption based on iterative
fractional Fourier transform,” Opt. Commun. 275, 324–329 (2007).
[Crossref]
J. Zhao, H. Lu, X.S. Song, J.F. Li, and Y.H. Ma, “Optical image encryption based on multistage
fractional Fourier transforms and pixel scrambling technique,” Opt. Commun. 249, 493–499, (2005).
[Crossref]
J. Zhao, H. Lu, X.S. Song, J.F. Li, and Y.H. Ma, “Optical image encryption based on multistage
fractional Fourier transforms and pixel scrambling technique,” Opt. Commun. 249, 493–499, (2005).
[Crossref]
X. F. Meng, L. Z. Cai, M. Z. He, G. Y. Dong, and X. X. Shen, “Cross-talk-free double-image encryption and
watermarking with amplitude-phase separate modulations,” J. Opt. A: Pure Appl. Opt. 7, 624 (2005).
[Crossref]
N. K. Nishchal, J. Joseph, and K. Singh, “Fully phase-based encryption using fractional order
Fourier domain random phase encoding: Error analysis,” Opt. Eng. 43, 2266–2273 (2004).
[Crossref]
N. K. Nishchal, J. Joseph, and K. Singh, “Fully phase-encrypted memory using cascaded extended
fractional Fourier transform,” Opt. Lasers Eng. 42, 141–151 (2004).
[Crossref]
N. K. Nishchal, G. Unnikrishnan, J. Joseph, and K. Singh, “Optical encryption using a localized fractional
Fourier transform,” Opt. Eng. 42, 3566–3571, (2003).
[Crossref]
N. K. Nishchal, J. Joseph, and K. Singh, “Fully phase encryption using fractional Fourier
transform,” Opt. Eng. 42, 1583–1588 (2003).
[Crossref]
H. M. Ozaktas, Z. Zalevsky, and M. A. Kutay, The fractional Fourier transform with Applications in Optics
and Signal Processing. (John Wiley & Sons, Chichester, 2001).
B. Javidi, A. Sergent, G. Zhang, and L. Guibert, “Fault tolerance properties of a double phase
encoding encryption technique,” Opt. Eng. 36, 992–998 (1997).
[Crossref]
X. F. Meng, L. Z. Cai, M. Z. He, G. Y. Dong, and X. X. Shen, “Cross-talk-free double-image encryption and
watermarking with amplitude-phase separate modulations,” J. Opt. A: Pure Appl. Opt. 7, 624 (2005).
[Crossref]
A. Sinha and K. Singh, “Image encryption by using fractional Fourier
transform and jigsaw transform in image bit planes,” Opt.
Eng. 44, 057001 (2005).
[Crossref]
N. K. Nishchal, J. Joseph, and K. Singh, “Fully phase-based encryption using fractional order
Fourier domain random phase encoding: Error analysis,” Opt. Eng. 43, 2266–2273 (2004).
[Crossref]
N. K. Nishchal, J. Joseph, and K. Singh, “Fully phase-encrypted memory using cascaded extended
fractional Fourier transform,” Opt. Lasers Eng. 42, 141–151 (2004).
[Crossref]
N. K. Nishchal, G. Unnikrishnan, J. Joseph, and K. Singh, “Optical encryption using a localized fractional
Fourier transform,” Opt. Eng. 42, 3566–3571, (2003).
[Crossref]
N. K. Nishchal, J. Joseph, and K. Singh, “Fully phase encryption using fractional Fourier
transform,” Opt. Eng. 42, 1583–1588 (2003).
[Crossref]
G. Unnikrishnan and K. Singh, “Optical encryption using quadratic phase
systems,” Opt. Commun. 193, 51–67, (2001).
[Crossref]
G. Unnikrishnan, J. Joseph, and K. Singh, “Optical encryption by double random phase encoding
in the fractional Fourier domain,” Opt. Lett. 25, 887–889 (2000).
[Crossref]
G. Unnikrishnan and K. Singh, “Double random fractional Fourier-domain encoding for
optical security,” Opt. Eng. 39, 2853–2859 (2000).
[Crossref]
A. Sinha and K. Singh, “Image encryption by using fractional Fourier
transform and jigsaw transform in image bit planes,” Opt.
Eng. 44, 057001 (2005).
[Crossref]
J. Zhao, H. Lu, X.S. Song, J.F. Li, and Y.H. Ma, “Optical image encryption based on multistage
fractional Fourier transforms and pixel scrambling technique,” Opt. Commun. 249, 493–499, (2005).
[Crossref]
Y. Zhang, C.H. Zheng, and N. Tanno, “Optical encryption based on iterative fractional
Fourier transform,” Opt. Commun. 202, 277–285, (2002).
[Crossref]
B. Javidi, N. Towghi, N. Maghzi, and S. C. Verrall, “Error-reduction techniques and error analysis for
fully phase- and amplitude-based encryption,” Appl.
Opt. 39, 4117–4130 (2000).
[Crossref]
N. Towghi, B. Javidi, and Z. Luo, “Fully phase encrypted image
processor,” J. Opt. Soc. Am. A 16, 1915 (1999).
[Crossref]
N. K. Nishchal, G. Unnikrishnan, J. Joseph, and K. Singh, “Optical encryption using a localized fractional
Fourier transform,” Opt. Eng. 42, 3566–3571, (2003).
[Crossref]
G. Unnikrishnan and K. Singh, “Optical encryption using quadratic phase
systems,” Opt. Commun. 193, 51–67, (2001).
[Crossref]
G. Unnikrishnan, J. Joseph, and K. Singh, “Optical encryption by double random phase encoding
in the fractional Fourier domain,” Opt. Lett. 25, 887–889 (2000).
[Crossref]
G. Unnikrishnan and K. Singh, “Double random fractional Fourier-domain encoding for
optical security,” Opt. Eng. 39, 2853–2859 (2000).
[Crossref]
X. Wang, D. Zhao, F. Jing, and X. Wei, “Information synthesis (complex amplitude addition
and subtraction) and encryption with digital holography and virtual
optics” Opt. Exp. 14, 1476–1486 (2006).
[Crossref]
X. Wang, D. Zhao, F. Jing, and X. Wei, “Information synthesis (complex amplitude addition
and subtraction) and encryption with digital holography and virtual
optics” Opt. Exp. 14, 1476–1486 (2006).
[Crossref]
H. M. Ozaktas, Z. Zalevsky, and M. A. Kutay, The fractional Fourier transform with Applications in Optics
and Signal Processing. (John Wiley & Sons, Chichester, 2001).
B. Javidi, A. Sergent, G. Zhang, and L. Guibert, “Fault tolerance properties of a double phase
encoding encryption technique,” Opt. Eng. 36, 992–998 (1997).
[Crossref]
Y. Zhang, C.H. Zheng, and N. Tanno, “Optical encryption based on iterative fractional
Fourier transform,” Opt. Commun. 202, 277–285, (2002).
[Crossref]
X. Wang, D. Zhao, F. Jing, and X. Wei, “Information synthesis (complex amplitude addition
and subtraction) and encryption with digital holography and virtual
optics” Opt. Exp. 14, 1476–1486 (2006).
[Crossref]
L. F. Chen and D. M. Zhao, “Optical color image encryption by wavelength
multiplexing and lensless Fresnel transform holograms,” Opt. Exp.14, 8552–8560 (2006), http://www.opticsexpress.org/abstract.cfm?URI=OPEX-14-19-8552.
[Crossref]
J. Zhao, H. Lu, X.S. Song, J.F. Li, and Y.H. Ma, “Optical image encryption based on multistage
fractional Fourier transforms and pixel scrambling technique,” Opt. Commun. 249, 493–499, (2005).
[Crossref]
Y. Zhang, C.H. Zheng, and N. Tanno, “Optical encryption based on iterative fractional
Fourier transform,” Opt. Commun. 202, 277–285, (2002).
[Crossref]
G. Situ and J. Zhang, “Position multiplexing for multiple-image
encryption,” J. Opt. A: Pure Appl. Opt. 8, 391 (2006).
[Crossref]
X. F. Meng, L. Z. Cai, M. Z. He, G. Y. Dong, and X. X. Shen, “Cross-talk-free double-image encryption and
watermarking with amplitude-phase separate modulations,” J. Opt. A: Pure Appl. Opt. 7, 624 (2005).
[Crossref]
N. Towghi, B. Javidi, and Z. Luo, “Fully phase encrypted image
processor,” J. Opt. Soc. Am. A 16, 1915 (1999).
[Crossref]
J. Hua, L. Liu, and G. Li, “Extended fractional Fourier
transforms,” J. Opt. Soc. Am. A 14, 3316–3322 (1997).
[Crossref]
A. W. Lohmann, “Image rotation, Wigner rotation, and the fractional
Fourier transform,” J. Opt. Soc. Am. A 10, 2181- (1993)
[Crossref]
Z. Liu and S. Liu, “Double image encryption based on iterative
fractional Fourier transform,” Opt. Commun. 275, 324–329 (2007).
[Crossref]
G. Unnikrishnan and K. Singh, “Optical encryption using quadratic phase
systems,” Opt. Commun. 193, 51–67, (2001).
[Crossref]
Y. Zhang, C.H. Zheng, and N. Tanno, “Optical encryption based on iterative fractional
Fourier transform,” Opt. Commun. 202, 277–285, (2002).
[Crossref]
B. Zhu and S. Liu, “Optical Image encryption based on the generalized
fractional convolution operation,” Opt. Commun. 195, 371–381, (2001).
[Crossref]
J. Zhao, H. Lu, X.S. Song, J.F. Li, and Y.H. Ma, “Optical image encryption based on multistage
fractional Fourier transforms and pixel scrambling technique,” Opt. Commun. 249, 493–499, (2005).
[Crossref]
A. Sinha and K. Singh, “Image encryption by using fractional Fourier
transform and jigsaw transform in image bit planes,” Opt.
Eng. 44, 057001 (2005).
[Crossref]
G. Unnikrishnan and K. Singh, “Double random fractional Fourier-domain encoding for
optical security,” Opt. Eng. 39, 2853–2859 (2000).
[Crossref]
N. K. Nishchal, J. Joseph, and K. Singh, “Fully phase encryption using fractional Fourier
transform,” Opt. Eng. 42, 1583–1588 (2003).
[Crossref]
N. K. Nishchal, J. Joseph, and K. Singh, “Fully phase-based encryption using fractional order
Fourier domain random phase encoding: Error analysis,” Opt. Eng. 43, 2266–2273 (2004).
[Crossref]
B. Javidi, A. Sergent, G. Zhang, and L. Guibert, “Fault tolerance properties of a double phase
encoding encryption technique,” Opt. Eng. 36, 992–998 (1997).
[Crossref]
N. K. Nishchal, G. Unnikrishnan, J. Joseph, and K. Singh, “Optical encryption using a localized fractional
Fourier transform,” Opt. Eng. 42, 3566–3571, (2003).
[Crossref]
X. Wang, D. Zhao, F. Jing, and X. Wei, “Information synthesis (complex amplitude addition
and subtraction) and encryption with digital holography and virtual
optics” Opt. Exp. 14, 1476–1486 (2006).
[Crossref]
N. K. Nishchal, J. Joseph, and K. Singh, “Fully phase-encrypted memory using cascaded extended
fractional Fourier transform,” Opt. Lasers Eng. 42, 141–151 (2004).
[Crossref]
G. Unnikrishnan, J. Joseph, and K. Singh, “Optical encryption by double random phase encoding
in the fractional Fourier domain,” Opt. Lett. 25, 887–889 (2000).
[Crossref]
B. Zhu and S. Liu, “Optical Image encryption with multistage and
multichannel fractional Fourier-domain filtering,” Opt.
Lett. 26, 1242–1244, (2001).
[Crossref]
B. Hennelly and J. T. Sheridan, “Optical image encryption by random shifting in
fractional Fourier domains,” Opt. Lett. 28, 269–271 (2003).
[Crossref]
[PubMed]
G. Situ and J. Zhang, “Multiple-image encryption by wavelength
multiplexing,” Opt. Lett. 30, 1306–1308 (2005).
[Crossref]
[PubMed]
M. S. Millán, E. Pérez-Cabré, and B. Javidi, “Multifactor authentication reinforces optical
security,” Opt. Lett. 31, 721–723 (2006).
[Crossref]
P. Refregier and B. Javidi, “Optical image encryption based on input plane and
Fourier plane random encoding,” Opt. Lett. 20, 767–769 (1995).
[Crossref]
[PubMed]
O. Matoba and B. Javidi, “Encrypted optical memory system using
three-dimensional keys in the Fresnel domain,” Opt.
Lett. 24, 762–764 (1999).
[Crossref]
H. M. Ozaktas, Z. Zalevsky, and M. A. Kutay, The fractional Fourier transform with Applications in Optics
and Signal Processing. (John Wiley & Sons, Chichester, 2001).
L. F. Chen and D. M. Zhao, “Optical color image encryption by wavelength
multiplexing and lensless Fresnel transform holograms,” Opt. Exp.14, 8552–8560 (2006), http://www.opticsexpress.org/abstract.cfm?URI=OPEX-14-19-8552.
[Crossref]