Optical encryption using a localized fractional Fourier transform

Naveen Kumar Nishchal; G. Unnikrishnan; Joby Joseph; Kehar Singh

doi:10.1117/1.1624850

1 December 2003 Optical encryption using a localized fractional Fourier transform

Naveen Kumar Nishchal, G. Unnikrishnan, Joby Joseph, Kehar Singh

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Optical Engineering, Vol. 42, Issue 12, (December 2003). https://doi.org/10.1117/1.1624850

Abstract

We propose a new method to encrypt and decrypt a two-dimensional amplitude image, which uses a jigsaw transform and a localized fractional Fourier transform. The jigsaw transform is applied to the original image to be encrypted, and the image is then divided into independent nonoverlapping segments. Each image segment is encrypted using different fractional parameters and two statistically independent random phase codes. The random phase codes, along with the set of fractional orders and jigsaw transform index, form the key to the encrypted data. Results of computer simulation are presented to verify the proposed idea and analyze the performance of the method. We also propose an optical implementation, which may find application for encrypting data stored in holographic memory.

©(2003) Society of Photo-Optical Instrumentation Engineers (SPIE)

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Naveen Kumar Nishchal, G. Unnikrishnan, Joby Joseph, and Kehar Singh "Optical encryption using a localized fractional Fourier transform," Optical Engineering 42(12), (1 December 2003). https://doi.org/10.1117/1.1624850

Published: 1 December 2003

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