提出了一种基于计算鬼成像(CGI)的Toeplitz矩阵和轴向距离的双密钥光学加密方案。在该方案中, 只需发送一个相位掩模密钥, 就可以产生多种不同的随机散斑, 大大减少了密钥的传输量; 在接收端采用压缩感知技术进行解密。数值仿真和实验结果表明, 密钥合法用户能完全恢复物体图像, 而窃听者在窃听率即使达到60%的情况下, 也不能获得图像的任何信息。双密钥的使用有效地提高了方案的安全性。

One optical encryption scheme with double secret keys based on the Toeplitz matrix and axial distance in the computational ghost imaging (CGI) is proposed. In this scheme, multiple random speckle patterns can be obtained by the transmission of a single random phase mask in legitimate users. At the receiving terminal, the image is decrypted with compressive sensing technique. The numerical simulation and experimental results indicate that the authorized users can recover the original image completely, but the eavesdroppers cannot obtain any information of the original image even if the eavesdropping rate is up to 60%. The use of double secret keys can effectively improve the security of this scheme.