A new asymmetric optical double image encryption algorithm is proposed, which combines phase truncation and singular value decomposition. The plain text is encrypted with two-stage phase keys to obtain a uniformly distributed cipher text and two new decryption keys. These keys are generated during the encryption process and are different from encryption keys. It realizes asymmetric encryption and improves the security of the system. The unscrambling keys in the encryption operation are mainly related to plain text. At the same time, the system is more resistant to selective plain text attacks; it also improves the sensitivity of decryption keys. With the application of phase truncation, the key space expanded and the security of the cryptographic system is enhanced. The efficacy of the system is calculated by evaluating the estimated error between the input and retrieved images. The proposed technique provides innumerable security keys and is robust against various potential attacks. Numerical simulations verify the effectiveness and security of the proposed technique.

中文翻译：

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线性规范变换域中基于相位截断和奇异值分解的安全非对称光学图像加密

提出了一种新的不对称光学双图像加密算法，该算法将相位截断和奇异值分解相结合。用两阶段的相位密钥对纯文本进行加密，以获得均匀分布的密文和两个新的解密密钥。这些密钥是在加密过程中生成的，与加密密钥不同。它实现了非对称加密并提高了系统的安全性。加密操作中的解密密钥主要与纯文本有关。同时，该系统更能抵抗选择性的纯文本攻击；它还提高了解密密钥的敏感性。随着相位截断的应用，密钥空间得以扩展，密码系统的安全性得到了增强。通过评估输入图像和检索图像之间的估计误差来计算系统的效率。所提出的技术提供了无数的安全密钥，并且对于各种潜在的攻击具有鲁棒性。数值模拟验证了所提技术的有效性和安全性。