The double random phase encryption (DRPE) technique is a known all-optical architecture that has many advantages especially in terms of encryption efficiency. However, the technique presents some vulnerabilities against attacks and needs a large quantity of information to encode the complex output plane. Encrypt the optical image using chaotic Baker map and DRPE. This scheme is implemented in two layers to improve the security level of the classical DRPE. A pre-processing layer is a first layer of this method that is performed along with the chaotic baker map on the original image. In the second layer, the classical DRPE is utilized. However, low speed problem and number representation problems due to the utilization of floating point values over other number representations. Hence, we propose an Optical Image Encryption using Loxodromic Cat Map with Double Random Phase Encoding (LCMDRPE). Theoretical analysis and experimental results show that our proposed method is providing better results in terms of maximum deviation, correlation coefficient, peak signal-to-noise ratio and mean square error.
