Asymmetric Optical Image Cryptography Topology Based On Phase Retrieve Algorithm And Phase-truncated Fourier Transforms

In the Internet of Everything(IoE)era,computer network and digital communication technology have been developing rapidly.Along with the development of the informational modern society,the information security is also facing serious challenges.The security of information and communication is always an important issue for researchers.Different from digital-image processing,optical processing has its own advantages,such as parallel process in amplitude and phase information,the capability of multi-dimensional and multiple parameters process.These unique characteristics make the optical image encryption technique rapidly develop into a new frontier information processing technology.After nearly thirty years of research and development,a variety of novel optical encryption or information hiding schemes are proposed.From the symmetric system that the encryption keys are the same as the decryption keys,or have only a simple linear relationship to a nonlinear asymmetric optical system,the reliability and security of optical image encryption are improved continuously.Optical image encryption has become an important method and means for information encoding,security certificate and information transmission security.In this paper,we first review the optical image cryptography technology and its research status.The principle and method of realizing Fourier transform and phase modulation by using lens in optical path are introduced.We analyze several representative optical image encryption schemes and their security performance,such as double random phase encoding technology,cryptosystem based on phase-truncated Fourier transforms and so on.In the Fourier domain of.the truncated Fourier encryption system,we add a phase modulation mark,which greatly enhances the security of the image encryption system.We study a cascade phase retrieval algorithm based on the amplitude-phase retrieval algorithm.In this method,the value of phase mark needed for image encoding can be retrieved through a number of cyclic iteration process including forward iteration and backward iteration with the help of a special 6f optical system.The amplitude of input plane and Fourier plane are served as the constraints in each of iteration.In this way,the plaintext image can be encrypted and hidden to a real-valued ciphertext image with independent information,achieving the purpose of the encryption and interconnection between real-valued images.At last,we propose an asymmetric optical image encryption topology combined with the basic principle of network topology and cryptography.The asymmetric structure is realized by utilizing the phase truncation and compensation to create a one-way trapdoor in the process of cascade phase retrieve.The public keys for encryption and the corresponding private keys are generated with the aid of one-way trapdoor function.Thus the proposed method can be used to implement the asymmetric encryption and decryption between the plaintext and the ciphertext.A hybrid topology network containing multiple different topology units are formed by expending the p2p image encoding structure.In an image topology network,each image is a node that has its own information and their also can interconnect with other images in an asymmetric manner.Simulation results are demonstrated to verify the security against attacks and the validity of the proposed cryptosystem.