Abstract

An optical image encryption technique based on compressive sensing using fully optical means has been proposed. An object image is first encrypted to a white-sense stationary noise pattern using a double random phase encoding (DRPE) method in a Mach-Zehnder interferometer. Then, the encrypted image is highly compressed to a signal using single-pixel compressive holographic imaging in the optical domain. At the receiving terminal, the encrypted image is reconstructed well via compressive sensing theory, and the original image can be decrypted with three reconstructed holograms and the correct keys. The numerical simulations show that the method is effective and suitable for optical image security transmission in future all-optical networks because of the ability of completely optical implementation and substantially smaller hologram data volume.

Highlights

  • An optical image encryption technique based on compressive sensing using fully optical means has been proposed

  • The intensity values of the complex amplitude field containing encrypted object information are first modulated by the Digital Micromirror Device (DMD), and once we received the compressed data of the encrypted image in the photodiode detector, we can reconstruct the original image from the compressed and encrypted image using the correct keys and the optical system’s parameters

  • The simulations show that the method can be used to reconstruct the original image well with fewer measurements established by the Nyquist criterion and can be applied to gray-scale images and binary images to perform image encryption and compression in an all-optical system

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Summary

Introduction

An optical image encryption technique based on compressive sensing using fully optical means has been proposed. The newly developed theory of compressive sensing (CS)[18,19,20,21] provides a new technical approach for hologram compression in the optical domain[22,23,24] and captures the non-adaptive linear projections of compressible signals at a rate that is significantly below the Nyquist rate These signals are reconstructed from these projections using an optimisation process. CS is combined with other special imaging methods to obtain wider application, such as in quantum imaging[25,26], photon counting imaging[27], the coherent imaging of different wavelengths[28], and the measurement of electric fields[29,30] These features may be effective solutions for the massive data processing and information security requirements of the Internet of Things (IoT)[31]. Correspondence and requests for materials should be addressed to J.L. (email: lijunc @126.com) www.nature.com/scientificreports/

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