Optical Image Encryption Algorithm Based on Chaotic Tinker Bell Map with Random Phase Masks in Fourier Domain

Abstract

Double random phase encoding is a well-received optical encryption scheme for images by the scientific community. However, with an increase in computational power, double random phase encoding has been proven to be vulnerable by an intruder to some basic attacks like known plaintext, chosen plaintext and chosen ciphertext attacks. Some researcher applied a chaotic map with double random phase mask to endure these basic attacks. In this paper, a novel image encryption scheme in which Tinker bell map is used along with a double random phase mask in the frequency domain. Tinker bell map is a chaotic map which is relatively less explored. It has four parameters and two initial values which are highly sensitive to their values. Simulations are carried on Matlab on grayscale images. Statistical attacks based on histogram, entropy, 3-D plot and Correlation distribution analysis are performed on the scheme. The scheme is also evaluated for its efficacy against the noise and occlusion attack. The results show that the proposed scheme is highly secure and resist basic attacks.