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Fresnel domain nonlinear optical image encryption scheme based on Gerchberg-Saxton phase-retrieval algorithm

机译：基于Gerchberg-Saxton相位检索算法的菲涅耳域非线性光学图像加密方案

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摘要

We propose a novel nonlinear image-encryption scheme based on a Gerchberg-Saxton (G-S) phase-retrieval algorithm in the Fresnel transform domain. The decryption process can be performed using conventional double random phase encoding (DRPE) architecture. The encryption is realized by applying G-S phase-retrieval algorithm twice, which generates two asymmetric keys from intermediate phases. The asymmetric keys are generated in such a way that decryption is possible optically with a conventional DRPE method. Due to the asymmetric nature of the keys, the proposed encryption process is nonlinear and offers enhanced security. The cryptanalysis has been carried out, which proves the robustness of proposed scheme against known-plaintext, chosen-plaintext, and special attacks. A simple optical setup for decryption has also been suggested. Results of computer simulation support the idea of the proposed cryptosystem.
机译：我们在菲涅尔变换域中提出了一种基于Gerchberg-Saxton（G-S）相位检索算法的新型非线性图像加密方案。可以使用常规的双随机相位编码（DRPE）体系结构执行解密过程。加密是通过两次应用G-S相位检索算法来实现的，该算法从中间阶段生成两个非对称密钥。生成非对称密钥的方式使得可以使用常规DRPE方法进行光学解密。由于密钥的非对称性质，建议的加密过程是非线性的，并提供增强的安全性。已经进行了密码分析，证明了所提出的方案针对已知明文，选择明文和特殊攻击的鲁棒性。还提出了用于解密的简单光学设置。计算机仿真的结果支持所提出的密码系统的思想。

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