2D non-separable linear canonical transform (2D-NS-LCT) based cryptography

Liang Zhao; Inbarasan Muniraj; John J. Healy; Ra'ed Malallah; Xiao-Guang Cui; James P. Ryle; John T. Sheridan

doi:10.1117/12.2265863

15 May 2017 2D non-separable linear canonical transform (2D-NS-LCT) based cryptography

Liang Zhao, Inbarasan Muniraj, John J. Healy, Ra'ed Malallah, Xiao-Guang Cui, James P. Ryle, John T. Sheridan

Proceedings Volume 10233, Holography: Advances and Modern Trends V; 102331B (2017) https://doi.org/10.1117/12.2265863
Event: SPIE Optics + Optoelectronics, 2017, Prague, Czech Republic

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

Citation Download Citation

Liang Zhao, Inbarasan Muniraj, John J. Healy, Ra'ed Malallah, Xiao-Guang Cui, James P. Ryle, and 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); https://doi.org/10.1117/12.2265863

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