15 May 2017 2D non-separable linear canonical transform (2D-NS-LCT) based cryptography
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Abstract
The 2D non-separable linear canonical transform (2D-NS-LCT) can describe a variety of paraxial optical systems. Digital algorithms to numerically evaluate the 2D-NS-LCTs are not only important in modeling the light field propagations but also of interest in various signal processing based applications, for instance optical encryption. Therefore, in this paper, for the first time, a 2D-NS-LCT based optical Double-random- Phase-Encryption (DRPE) system is proposed which offers encrypting information in multiple degrees of freedom. Compared with the traditional systems, i.e. (i) Fourier transform (FT); (ii) Fresnel transform (FST); (iii) Fractional Fourier transform (FRT); and (iv) Linear Canonical transform (LCT), based DRPE systems, the proposed system is more secure and robust as it encrypts the data with more degrees of freedom with an augmented key-space.
Conference Presentation
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Liang Zhao, Liang Zhao, Inbarasan Muniraj, Inbarasan Muniraj, John J. Healy, John J. Healy, Ra'ed Malallah, Ra'ed Malallah, Xiao-Guang Cui, Xiao-Guang Cui, James P. Ryle, James P. Ryle, John T. Sheridan, John T. Sheridan, } "2D non-separable linear canonical transform (2D-NS-LCT) based cryptography", Proc. SPIE 10233, Holography: Advances and Modern Trends V, 102331B (15 May 2017); doi: 10.1117/12.2265863; https://doi.org/10.1117/12.2265863
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