M. R. Abuturab, “Securing color information using Arnold transform in gyrator transform domain,” Opt. Lasers Eng. 50772–779 (2012).

[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]

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).

Z. Liu, L. Xu, C. Chen, J. Dai, and S. Liu, “Image encryption scheme by using iterative random phase encoding in gyrator transform domains,” Opt. Lasers Eng. 49, 542–546 (2011).

[CrossRef]

Z. Liu, J. Dai, X. Sun, and S. Liu, “Color image encryption by using the rotation of color vector in Hartley transform domains,” Opt. Laser Eng. 48, 800–805 (2010).

[CrossRef]

Z. Liu, L. Xu, C. Chin, and S. Liu, “Image encryption by encoding with a nonuniform optical beam in gyrator transform domains,” Appl. Opt. 49, 5632–5637 (2010).

[CrossRef]

H. Li, “Image encryption based on gyrator transform and two-step phase-shifting interferometry,” Opt. Laser Eng. 47, 45–50 (2009).

[CrossRef]

N. Singh, and A. Sinha, “Gyrator transform based optical image encryption using chaos,” Opt. Laser Eng. 47, 539–546 (2009).

[CrossRef]

J. A. Rodrigo, T. Alieva, and M. L. Calvo, “Application of gyrator transform for image processing,” Opt. Commun. 278, 279–284 (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]

J. A. Rodrigo, T. Alieva, and M. L. Calvo, “Gyrator transform: Properties and applications,” Opt. Express 15, 2190–2203 (2007).

Z. Liu and S. Liu, “Random fractional Fourier transform,” Opt. Lett. 32, 2088–2090 (2007).

[CrossRef]

J. A. Rodrigo, T. Alieva, and M. L. Calvo, “Experimental implementation of the gyrator transform,” J. Opt. Soc. Am. A 24, 3135–3139 (2007).

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

[CrossRef]

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

[CrossRef]

N. K. Nishchal, J. Joseph, and K. Singh, “Securing information using fractional Fourier transform in digital holography,” Opt. Commun. 235, 253–259 (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]

G. Situ and J. Zhang, “A lensless optical security system based on computer-generated phase only masks,” Opt. Commun. 232, 115–122 (2004).

[CrossRef]

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

[CrossRef]

M. R. Abuturab, “Securing color information using Arnold transform in gyrator transform domain,” Opt. Lasers Eng. 50772–779 (2012).

[CrossRef]

J. A. Rodrigo, T. Alieva, and M. L. Calvo, “Experimental implementation of the gyrator transform,” J. Opt. Soc. Am. A 24, 3135–3139 (2007).

J. A. Rodrigo, T. Alieva, and M. L. Calvo, “Application of gyrator transform for image processing,” Opt. Commun. 278, 279–284 (2007).

[CrossRef]

J. A. Rodrigo, T. Alieva, and M. L. Calvo, “Gyrator transform: Properties and applications,” Opt. Express 15, 2190–2203 (2007).

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

[CrossRef]

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

[CrossRef]

J. A. Rodrigo, T. Alieva, and M. L. Calvo, “Experimental implementation of the gyrator transform,” J. Opt. Soc. Am. A 24, 3135–3139 (2007).

J. A. Rodrigo, T. Alieva, and M. L. Calvo, “Gyrator transform: Properties and applications,” Opt. Express 15, 2190–2203 (2007).

J. A. Rodrigo, T. Alieva, and M. L. Calvo, “Application of gyrator transform for image processing,” Opt. Commun. 278, 279–284 (2007).

[CrossRef]

Z. Liu, L. Xu, C. Chen, J. Dai, and S. Liu, “Image encryption scheme by using iterative random phase encoding in gyrator transform domains,” Opt. Lasers Eng. 49, 542–546 (2011).

[CrossRef]

Z. Liu, L. Xu, C. Chen, J. Dai, and S. Liu, “Image encryption scheme by using iterative random phase encoding in gyrator transform domains,” Opt. Lasers Eng. 49, 542–546 (2011).

[CrossRef]

Z. Liu, J. Dai, X. Sun, and S. Liu, “Color image encryption by using the rotation of color vector in Hartley transform domains,” Opt. Laser Eng. 48, 800–805 (2010).

[CrossRef]

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

[CrossRef]

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

[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, “Securing information using fractional Fourier transform in digital holography,” Opt. Commun. 235, 253–259 (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]

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).

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

[CrossRef]

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

[CrossRef]

H. Li, “Image encryption based on gyrator transform and two-step phase-shifting interferometry,” Opt. Laser Eng. 47, 45–50 (2009).

[CrossRef]

Z. Liu, L. Xu, C. Chen, J. Dai, and S. Liu, “Image encryption scheme by using iterative random phase encoding in gyrator transform domains,” Opt. Lasers Eng. 49, 542–546 (2011).

[CrossRef]

Z. Liu, J. Dai, X. Sun, and S. Liu, “Color image encryption by using the rotation of color vector in Hartley transform domains,” Opt. Laser Eng. 48, 800–805 (2010).

[CrossRef]

Z. Liu, L. Xu, C. Chin, and S. Liu, “Image encryption by encoding with a nonuniform optical beam in gyrator transform domains,” Appl. Opt. 49, 5632–5637 (2010).

[CrossRef]

Z. Liu and S. Liu, “Random fractional Fourier transform,” Opt. Lett. 32, 2088–2090 (2007).

[CrossRef]

S. Liu, Q. Mi, and B. Zhu, “Optical image encryption with multistage and multichannel fractional Fourier-domain filtering,” Opt. Lett. 26, 1242–1244 (2001).

[CrossRef]

Z. Liu, L. Xu, C. Chen, J. Dai, and S. Liu, “Image encryption scheme by using iterative random phase encoding in gyrator transform domains,” Opt. Lasers Eng. 49, 542–546 (2011).

[CrossRef]

Z. Liu, J. Dai, X. Sun, and S. Liu, “Color image encryption by using the rotation of color vector in Hartley transform domains,” Opt. Laser Eng. 48, 800–805 (2010).

[CrossRef]

Z. Liu, L. Xu, C. Chin, and S. Liu, “Image encryption by encoding with a nonuniform optical beam in gyrator transform domains,” Appl. Opt. 49, 5632–5637 (2010).

[CrossRef]

Z. Liu and S. Liu, “Random fractional Fourier transform,” Opt. Lett. 32, 2088–2090 (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]

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

[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, “Securing information using fractional Fourier transform in digital holography,” Opt. Commun. 235, 253–259 (2004).

[CrossRef]

J. A. Rodrigo, T. Alieva, and M. L. Calvo, “Experimental implementation of the gyrator transform,” J. Opt. Soc. Am. A 24, 3135–3139 (2007).

J. A. Rodrigo, T. Alieva, and M. L. Calvo, “Gyrator transform: Properties and applications,” Opt. Express 15, 2190–2203 (2007).

J. A. Rodrigo, T. Alieva, and M. L. Calvo, “Application of gyrator transform for image processing,” Opt. Commun. 278, 279–284 (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]

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).

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, 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, “Securing information using fractional Fourier transform in digital holography,” Opt. Commun. 235, 253–259 (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]

N. Singh, and A. Sinha, “Gyrator transform based optical image encryption using chaos,” Opt. Laser Eng. 47, 539–546 (2009).

[CrossRef]

N. Singh, and A. Sinha, “Gyrator transform based optical image encryption using chaos,” Opt. Laser Eng. 47, 539–546 (2009).

[CrossRef]

G. Situ and J. Zhang, “A lensless optical security system based on computer-generated phase only masks,” Opt. Commun. 232, 115–122 (2004).

[CrossRef]

Z. Liu, J. Dai, X. Sun, and S. Liu, “Color image encryption by using the rotation of color vector in Hartley transform domains,” Opt. Laser Eng. 48, 800–805 (2010).

[CrossRef]

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

[CrossRef]

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

[CrossRef]

Z. Liu, L. Xu, C. Chen, J. Dai, and S. Liu, “Image encryption scheme by using iterative random phase encoding in gyrator transform domains,” Opt. Lasers Eng. 49, 542–546 (2011).

[CrossRef]

Z. Liu, L. Xu, C. Chin, and S. Liu, “Image encryption by encoding with a nonuniform optical beam in gyrator transform domains,” Appl. Opt. 49, 5632–5637 (2010).

[CrossRef]

G. Situ and J. Zhang, “A lensless optical security system based on computer-generated phase only masks,” Opt. Commun. 232, 115–122 (2004).

[CrossRef]

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

[CrossRef]

J. A. Rodrigo, T. Alieva, and M. L. Calvo, “Experimental implementation of the gyrator transform,” J. Opt. Soc. Am. A 24, 3135–3139 (2007).

R. Simon and K. B. Wolf, “Structure of the set of paraxial optical systems,” J. Opt. Soc. Am. A 17, 342–355 (2000).

[CrossRef]

G. Nemes and A. E. Siegman, “Measurement of all ten second-order moments of an astigmatic beam by the use of rotating simple astigmatic (anamorphic) optics,” J. Opt. Soc. Am. A 11, 2257–2264 (1994).

[CrossRef]

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

[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, J. Joseph, and K. Singh, “Securing information using fractional Fourier transform in digital holography,” Opt. Commun. 235, 253–259 (2004).

[CrossRef]

G. Situ and J. Zhang, “A lensless optical security system based on computer-generated phase only masks,” Opt. Commun. 232, 115–122 (2004).

[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. A. Rodrigo, T. Alieva, and M. L. Calvo, “Application of gyrator transform for image processing,” Opt. Commun. 278, 279–284 (2007).

[CrossRef]

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

[CrossRef]

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

[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).

Z. Liu, J. Dai, X. Sun, and S. Liu, “Color image encryption by using the rotation of color vector in Hartley transform domains,” Opt. Laser Eng. 48, 800–805 (2010).

[CrossRef]

H. Li, “Image encryption based on gyrator transform and two-step phase-shifting interferometry,” Opt. Laser Eng. 47, 45–50 (2009).

[CrossRef]

N. Singh, and A. Sinha, “Gyrator transform based optical image encryption using chaos,” Opt. Laser Eng. 47, 539–546 (2009).

[CrossRef]

Z. Liu, L. Xu, C. Chen, J. Dai, and S. Liu, “Image encryption scheme by using iterative random phase encoding in gyrator transform domains,” Opt. Lasers Eng. 49, 542–546 (2011).

[CrossRef]

M. R. Abuturab, “Securing color information using Arnold transform in gyrator transform domain,” Opt. Lasers Eng. 50772–779 (2012).

[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]

Z. Liu and S. Liu, “Random fractional Fourier transform,” Opt. Lett. 32, 2088–2090 (2007).

[CrossRef]

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[CrossRef]

S. Liu, Q. Mi, and B. Zhu, “Optical image encryption with multistage and multichannel fractional Fourier-domain filtering,” Opt. Lett. 26, 1242–1244 (2001).

[CrossRef]