Current Optics and Photonics

Optical Society of Korea (한국광학회)
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Optical Image Encryption Technique Based on Hybrid-pattern Phase Keys

  • Sun, Wenqing (Jiangsu Key Laboratory of Micro and Nano Heat Fluid Flow Technology and Energy Application, School of Mathematics and Physics, Suzhou University of Science and Technology) ;
  • Wang, Lei (Jiangsu Key Laboratory of Micro and Nano Heat Fluid Flow Technology and Energy Application, School of Mathematics and Physics, Suzhou University of Science and Technology) ;
  • Wang, Jun (Jiangsu Key Laboratory of Micro and Nano Heat Fluid Flow Technology and Energy Application, School of Mathematics and Physics, Suzhou University of Science and Technology) ;
  • Li, Hua (Jiangsu Key Laboratory of Micro and Nano Heat Fluid Flow Technology and Energy Application, School of Mathematics and Physics, Suzhou University of Science and Technology) ;
  • Wu, Quanying (Jiangsu Key Laboratory of Micro and Nano Heat Fluid Flow Technology and Energy Application, School of Mathematics and Physics, Suzhou University of Science and Technology)
  • Received : 2018.07.22
  • Accepted : 2018.10.05
  • Published : 2018.12.25
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Abstract

We propose an implementation scheme for an optical encryption system with hybrid-pattern random keys. In the encryption process, a pair of random phase keys composed of a white-noise phase key and a structured phase key are positioned in the input plane and Fourier-spectrum plane respectively. The output image is recoverable by digital reconstruction, using the conjugate of the encryption key in the Fourier-spectrum plane. We discuss the system encryption performance when different combinations of phase-key pairs are used. To measure the effectiveness of the proposed method, we calculate the statistical indicators between original and encrypted images. The results are compared to those generated from a classical double random phase encoding. Computer simulations are presented to show the validity of the method.

Keywords

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FIG. 1. Flow chart of the proposed scheme: (a) encryption process, (b) decryption process.

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FIG. 2. Four SPK patterns: (a) LPK, (b) QPK, (c) SPPK, (d) SQPK.

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FIG. 3. Original image.

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FIG. 4. Encrypted images (intensity) for different types of SPKs in the SPK+RPK scheme: (a) LPK, (b) QPK, (c) SPPK, (d) SQPK.

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FIG. 5. The keys and encrypted image (intensity and phase) for different hybrid-key-pattern combinations: (a)~(d) RPK+ RPK, (e)~(h) RPK+SPK, (i)~(l) SPK+RPK, (m)~(p) SPK+ SPK. The 1st column is KEY1, the 2nd column is KEY2, the 3rd column is the intensity of the encrypted image, and the 4th column is the phase of the encrypted image.

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FIG. 6. Decrypted images using partial-error keys for different schemes: (a)~(d) RPK+RPK, (e)~(h) RPK+SPK, (i)~(l) SPK+RPK.

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FIG. 7. Relationship between CC and percentage correctness of the key for the four schemes.

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FIG. 8. Relationship between CC and percentage of key parameters in error for the RPK+SPK and SPK+SPK schemes.

TABLE 1. Quality evaluation of encrypted images

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