Optical and photonics techniques such as computer-generated holograms (CGHs) are suggested to be used in security applications. In this paper, we present an approach to generate an authenticable phase-only hologram (APOH) for steganographic optical image encryption with phase optimization. The phase hologram can be calculated by the proposed integrated two-stage optimization method where Fresnel domain optimized random phase (OARP) method and modified two-step iterative Fourier transform algorithm under phase constraints are involved. The computer-generated APOH can be respectively verified and decrypted with an authentication key (A-key) and a decryption key(D-key). Numerical and experiment results prove the validity and security of the proposed approach, which offers a new method of holographic encryption for optical images.

建议在安全应用中使用光学和光子学技术，例如计算机生成的全息图 (CGH)。在本文中，我们提出了一种生成可验证的仅相位全息图 (APOH) 的方法，用于具有相位优化的隐写光学图像加密。相位全息图可以通过所提出的集成两阶段优化方法来计算，其中涉及菲涅耳域优化随机相位（OARP）方法和相位约束下改进的两步迭代傅里叶变换算法。计算机生成的APOH可以分别用认证密钥（A-key）和解密密钥（D-key）进行验证和解密。数值和实验结果证明了该方法的有效性和安全性，为光学图像全息加密提供了一种新方法。