We report a novel optical method of interference-based multiple-image encryption and authentication via lateral shift multiplexing and sparsification. We encode multiple original images into two ciphertexts only containing partial information of the multiple images when the secret key generated randomly is laterally movable within a predefined interval, and we analytically derive the two other keys of each original image. Information discrimination for each original image as well as its silhouette is still prohibited in spite of the utilization of one, two, three, or even four masks for decryption. The three secret keys of each original image significantly improve the security of the proposed method, and binary amplitude masks are included in the decryption and authentication procedure. Moreover, the proposed scheme completely eliminates the cross-talk problem and destroys any high correlation between the plaintexts and ciphertexts. Numerical simulations are executed to prove the effectiveness and security of this scheme.

我们报告了一种通过横向移位复用和稀疏化的基于干涉的多图像加密和认证的新光学方法。当随机生成的密钥在预定义的时间间隔内可横向移动时，我们将多幅原始图像编码为仅包含多幅图像部分信息的两个密文，并解析推导出每个原始图像的其他两个密钥。尽管使用了一个、两个、三个甚至四个掩码进行解密，但仍然禁止对每个原始图像及其轮廓进行信息识别。每个原始图像的三个密钥显着提高了所提出方法的安全性，并且二进制幅度掩码包含在解密和认证过程中。而且，所提出的方案完全消除了串扰问题并破坏了明文和密文之间的任何高度相关性。通过数值模拟验证了该方案的有效性和安全性。