Optical spectrum encryption in associated fractional Fourier transform and gyrator transform domain

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• 作者：Hang Chen ; Xiaoping Du ; Zhengjun Liu
• 关键词：Hyperspectral image ; Cryptography ; Optical transform
• 刊名：Optical and Quantum Electronics
• 出版年：2016
• 出版时间：January 2016
• 年：2016
• 卷：48
• 期：1
• 全文大小：2,840 KB
• 参考文献：Abuturab, M.R.: Securing color information using Arnold transform in gyrator transform domain. Opt. Lasers Eng. 50, 772鈥?79 (2012)CrossRef
  Abuturab, M.R.: Noise-free recovery of color information using a joint-extended gyrator transform correlator. Opt. Lasers Eng. 51, 230鈥?39 (2013)CrossRef
  Alfalou, A., Brosseau, C.: Dual encryption scheme of images using polarized light. Opt. Lett. 35, 2185鈥?187 (2010)CrossRef ADS
  Chen, W., Chen, X., Sheppard, C.J.R.: Optical double-image cryptography based on diffractive imaging with a laterally-translated phase grating. Appl. Opt. 50, 5750鈥?757 (2011)CrossRef ADS
  Chen, H., Du, X., Liu, Z., Yang, C.: Color image encryption based on the affine transform and gyrator transform. Opt. Lasers Eng. 51, 768鈥?75 (2013)CrossRef
  Chen, H., Zhao, J., Liu, Z., Du, X.: Opto-digital spectrum encryption by using Baker mapping and gyrator transform. Opt. Lasers Eng. 66, 285鈥?93 (2015)CrossRef
  Du, Y., Chang, C.I., Ren, H., Chang, C., Jensen, J., D鈥橝mico, F.: New hyperspectral discrimination measure for spectral characterization. Opt. Eng. 43, 1777鈥?786 (2004)CrossRef ADS
  Enayatifar, R., Abdullah, A.H., Isnin, I.F.: Chaos-based image encryption using a hybrid genetic algorithm and a DNA sequence. Opt. Lasers Eng. 56, 83鈥?3 (2014)CrossRef
  Fridrich, J.: Symmetric ciphers based on two-dimensional chaotic maps. Int. J. Bifurc. Chaos 8, 1259鈥?284 (1998)CrossRef MathSciNet MATH
  Gerchberg, R.W.: A practical algorithm for the determination of phase from image and diffraction plane pictures. Optik 35, 227鈥?46 (1972)
  Jeffries, C., Perez, J.: Observation of a Pomeau鈥揗anneville intermittent route to chaos in a nonlinear oscillator. Phys. Rev. A 26, 2117 (1982)CrossRef ADS MathSciNet
  Kumar, P., Joseph, J., Kingh, K.: Optical image encryption using a jigsaw transform for silhouette removal in interference-based methods and decryption with a single spatial light modulator. Appl. Opt. 50, 1805鈥?808 (2011)CrossRef ADS
  Lang, J.: Image encryption based on the reality-preserving multiple-parameter fractional Fourier transform and chaos permutation. Opt. Lasers Eng. 50, 929鈥?37 (2012)CrossRef
  Liu, Z., Liu, S.: Random fractional Fourier transform. Opt. Lett. 32, 2088鈥?090 (2007)CrossRef ADS
  Liu, Z., Li, Q., Dai, J., Zhao, X., Sun, X., Liu, S.: Image encryption based on random scrambling of the amplitude and phase in the frequency domain. Opt. Eng. 48, 087005鈥?87006 (2009a)CrossRef ADS
  Liu, Z., Dai, J., Sun, X., Liu, S.: Triple image encryption scheme in fractional Fourier transform domains. Opt. Commun. 282, 518鈥?22 (2009b)CrossRef ADS
  Liu, Z., Guo, Q., Xu, L., Ahmad, M.A., Liu, S.: Double image encryption by using iterative random binary encoding in gyrator domains. Opt. Express 18, 12033鈥?2043 (2010)CrossRef ADS
  Liu, Z., Li, S., Liu, W., Liu, S.: Opto-digital image encryption by using Baker mapping and 1-D fractional Fourier transform. Opt. Lasers Eng. 51, 224鈥?29 (2013)CrossRef
  Lohmann, A.W.: Image rotation, Wigner rotation, and the fractional Fourier transform. J. Opt. Soc. Am. A 10, 2181鈥?186 (1993)CrossRef ADS
  Matoba, O., Javidi, B.: Encrypted optical memory system using three-dimensional keys in the Fresnel domain. Opt. Lett. 24, 762鈥?64 (1999)CrossRef ADS
  Meng, X.F., Cai, L.Z., Xu, X.F., Yang, X.L., Shen, X.X., Dong, G.Y., Wang, Y.R.: Two-step phase shifting interferometry and its application in image encryption. Opt. Lett. 31, 1414鈥?416 (2006)CrossRef ADS
  Nakauchi, S., Nishino, K.: Yammashita. Selection of optimal combinations of band-pass filters for ice detection by hyperspectral imaging. Opt. Express 20, 986鈥?000 (2012)CrossRef ADS
  Ozaktas, H.M., Zalevsky, Z., Kutay, M.A.: The Fractional Fourier Transform with Applications in Optics and Signal Processing. Wiley, New York (2001)
  Peng, X., Zhang, P., Wei, H., Yu, B.: Known-plaintext attack on optical encryption based on double random phase keys. Opt. Lett. 31, 1044鈥?046 (2006a)CrossRef ADS
  Peng, X., Wei, H., Zhang, P.: Chosen-plaintext attack on lensless double-random phase encoding in the Fresnel domain. Opt. Lett. 31, 3261鈥?263 (2006b)CrossRef ADS
  Refregier, P., Javidi, B.: Optical image encryption based on input plane and Fourier plane random encoding. Opt. Lett. 20, 767鈥?69 (1995)CrossRef ADS
  Rodrigo, J.U.A., Alieva, T., Calvo, M.Y.L.: Gyrator transform: properties and applications. Opt. Express 15, 2190鈥?203 (2007a)CrossRef ADS
  Rodrigo, J.U.A., Alieva, T., Calvo, M.Y.L.: Experimental implementation of the gyrator transform. J. Opt. Soc. Am. A 24, 3135鈥?139 (2007b)CrossRef ADS
  Situ, G., Zhang, J.: Double random-phase encoding in the Fresnel domain. Opt. Lett. 29, 1584鈥?586 (2004)CrossRef ADS
  Sui, L., Wang, Z., Sun, Q.: Double-image encryption using discrete fractional random transform and logistic maps. Opt. Lasers Eng. 56, 1鈥?2 (2014)CrossRef
  Tao, R., Xin, Y.: Double image encryption based on random phase encoding in the fractiona Fourier domain. Opt. Express 15, 16067鈥?6079 (2007)CrossRef ADS
  Zhang, X., Zhu, G., Ma, S.: Remote-sensing imgae encryption in hybrid domains. Opt. Commun. 285, 1736鈥?743 (2012)CrossRef ADS
  Zhu, N., Wang, Y., Liu, J., Xie, J., Zhang, H.: Optical image encryption based on interference of polarized light. Opt. Express 17, 13418鈥?3424 (2009)CrossRef ADS
  
• 作者单位：Hang Chen (1)
  Xiaoping Du (1)
  Zhengjun Liu (2)
  
  1. Department of Space Equipment, The Academy of Equipment, Beijing, 101416, China
  2. Department of Automation Measurement and Control, Harbin Institute of Technology, Harbin, 150001, China
  
• 刊物主题：Optics, Optoelectronics, Plasmonics and Optical Devices; Electrical Engineering; Characterization and Evaluation of Materials; Computer Communication Networks;
• 出版者：Springer US
• ISSN：1572-817X

文摘

An optical spectrum encryption algorithm for hyperspectral image is proposed in this paper, in which the spatial and spectrum information can be encrypted simultaneously. The Baker mapping is utilized to scramble each band of the hyperspectral cube before the optical transform. Subsequently, 100 bands are divided into real part and imaginary part of the complex function expressing light field. Then, the scrambled data is imported into fractional Fourier transform and gyrator transform system. A random binary vector is designed and employed in the optical transform for enhancing the security of the encryption system. The amplitude and phase information in the output plane can be regarded as the encrypted information. Some numerical simulations are made to demonstrate the performance of the proposed encryption system. Keywords Hyperspectral image Cryptography Optical transform