An Optical Cryptosystem Based on Tent Map and Deterministic Key in Gyrator Domain
DOI:
https://doi.org/10.37134/jsml.vol14.3.1.2026Keywords:
Optical cryptosystem, Gyrator transform domain, Deterministic phase masks, Tent chaotic mapAbstract
A novel symmetric optical cryptosystem is proposed based on the integration of deterministic phase masks and a chaotic tent map within the gyrator transform domain. The encryption process employs a pair of chaotic deterministic phase keys generated through a linear combination of multiple subkeys and the tent map, enhancing key complexity and unpredictability. Decryption is achieved by applying the conjugate of the corresponding phase keys, ensuring accurate reconstruction of the original image. The incorporation of chaotic deterministic parameters significantly expands the key space and introduces additional security layers, effectively overcoming the alignment limitations associated with conventional double random phase encryption techniques. The performance and robustness of the proposed cryptosystem were evaluated through extensive computational simulations. Security analyses were conducted using multiple statistical metrics, including structural similarity index (SSIM), mean square error (MSE), relative error, histogram uniformity, correlation distribution, mesh analysis, and information entropy. The results demonstrate that the encrypted images exhibit high randomness, low pixel correlation, and strong resistance to differential, statistical, and noise contamination attacks. Furthermore, the large key space and sensitivity to initial conditions render the system highly secure against brute-force attacks under current computational capabilities. Overall, the proposed scheme offers a robust and efficient framework for secure optical image encryption, with strong potential for practical applications in optical information processing and secure communication systems.
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