We propose an asymmetric optical image encryption scheme that uses an amplitude and phase mixture retrieval of the Yang–Gu algorithm. The encryption process is realized by employing a cascaded Yang–Gu algorithm together with two random phase masks that serve as the public encryption keys. The two private keys are generated in the encryption process and are randomly distributed binary matrices to be used for performing one-way binary phase modulations. Without the private keys, illegal users cannot retrieve the secret image. Numerical simulations are carried out to demonstrate the validity and security of the proposed scheme.
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