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  • Received: Sep. 8, 2019

    Accepted: --

    Posted: Sep. 17, 2020

    Published Online: Sep. 17, 2020

    The Author Email: Wang Xue-Guang (

    DOI: 10.7498/aps.68.20191362

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    Xue-Guang Wang, Ming Li, Na-Na Yu, Si-Xing Xi, Xiao-Lei Wang, Li-Ying Lang. Multiple-image encryption method based on spatial angle multiplexing and double random phase encoding[J]. Acta Physica Sinica, 2019, 68(24): 240503-1

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Acta Physica Sinica, Vol. 68, Issue 24, 240503-1 (2019)

Multiple-image encryption method based on spatial angle multiplexing and double random phase encoding

Wang Xue-Guang1,2, Li Ming1, Yu Na-Na2, Xi Si-Xing2,*, Wang Xiao-Lei3, and Lang Li-Ying4

Author Affiliations

  • 1School of Information and Control Engineering, China University of Mining and Technology, Xuzhou 221116, China
  • 2School of Mathematics and Physics, Hebei University of Engineering, Handan 056038, China
  • 3Institute of Modern Optics, Nankai University, Tianjin 300350, China
  • 4Hebei University of Technology, Tianjin 300401, China


An optical encryption method of multiple-image based on spatial angle multiplexing and double random phase encoding is proposed in this paper. In the encryption process, firstly the original images are modulated by random phase in Fresnel transform with different diffraction distances. Secondly, the modulated images are coherently superposed with reference beams which have different spatial angles and random phases, to generate interference fringes. Finally, the interference fringes from different directions are superposed to form a compound encrypted image. In the decryption process, the compound image is placed in a spatial filtering and Fresnel diffraction system, and the decrypted images are obtained after implementing the different phase keys’ demodulation and Fresnel diffraction with correct distance. This method encrypts multiple images into a single gray-scale image, which is easy to save and transmit. The double random phases are placed in object light and reference light respectively, which reduces the complexity of the encryption system and overcomes the difficulty of pixel-by-pixel alignment of random phase keys in traditional decryption experiment. At the same time, the multiplexing capacity of the proposed encryption system is analyzed, and the result shows that the system has sufficient encryption capacity. So the proposed method possesses the characteristics of high storage efficiency, simple calculation and strong anti-noise ability, and thus can encrypt multiple images simultaneously. In this paper, the encryption effect is evaluated by correlation coefficient, while the effectiveness and security are verified by simulation experiment.


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