为了确保现代网络信息传输的安全性问题，提出了一种基于压缩感知理论和分块Arnold 变换置乱的计算全息图双重加密算法。该方法制作出原始图像的纯相位全息图，利用压缩感知的随机测量矩阵作为密钥对全息图进行初次加密，将加密后的图像通过分块Arnold 变换置乱再次加密。使用密钥对经过两次加密的图像解密可重现原始图像。该全息加密方法相较于传统光学加密设计灵活、光路简单，且两次加密均具有随机性，从而大大提高了信息传输的安全性。结果表明，解密恢复的图像质量理想、安全性高、稳健性强。通过搭建基于硅基液晶空间光调制器的全息显示系统对提出的加密方法进行了实验验证。

To ensure the security issues of information transmission in modern network, a double encryption algorithm of computer generated hologram based on compressed sensing theory and block Arnold transformation scrambling has been proposed. The phase-only hologram of original image has been produced, the hologram has been encrypted by using the random measurement matrix of compressed sensing as a key. It has been encrypted again by block Arnold transformation scrambling. The image after two-time encryption can be decrypted by using the keys and reproduce the original one. Compare to conventional optical holographic encryption, this method has a more flexible design, simple optical path and the two encryptions both have randomness, so it improves the security of information transmission greatly. Result shows that the decryption image is ideal, safe and robust. The proposed method is verified by building a holographic display system based on silicon liquid crystal spatial light modulator.