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Optics Express

Optics Express

  • Editor: Michael Duncan
  • Vol. 14, Iss. 4 — Feb. 20, 2006
  • pp: 1476–1486

Information synthesis (complex amplitude addition and subtraction) and encryption with digital holography and virtual optics

Xiaogang Wang, Daomu Zhao, Feng Jing, and Xiaofeng Wei  »View Author Affiliations

Optics Express, Vol. 14, Issue 4, pp. 1476-1486 (2006)

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A new method is proposed in this paper for the synthesis and encryption of information with digital holography technique and virtual optics. By using a three-step phase-shifting interferometry, the fused or subtracted digital hologram can be calculated from different interference patterns. To protect the digital data that can be transmitted through communication channel, an encryption approach based on virtual optics is also proposed. The encryption method proposed is based on extended fractional Fourier transforms. Both the encryption and decryption processes are performed in all-digital manner. The encrypted data and the synthesized data reconstructed numerically also can be stored and transmitted in the conventional communication channel. Numerical simulation results are given to verify the proposed idea.

© 2006 Optical Society of America

OCIS Codes
(070.6020) Fourier optics and signal processing : Continuous optical signal processing
(090.0090) Holography : Holography
(100.2000) Image processing : Digital image processing

ToC Category:

Original Manuscript: November 15, 2005
Revised Manuscript: January 10, 2006
Manuscript Accepted: February 3, 2006
Published: February 20, 2006

Xiaogang Wang, Daomu Zhao, Feng Jing, and Xiaofeng Wei, "Information synthesis (complex amplitude addition and subtraction) and encryption with digital holography and virtual optics," Opt. Express 14, 1476-1486 (2006)

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  1. D. Gabor, G. W. Stroke, R. Restrick, A. Funkhouser, and D. Brumm, "Optical image synthesis (complex amplitude addition and subtraction) by holographic Fourier transformation," Phys. Lett. 18, 116-118 (1965). [CrossRef]
  2. J. F. Ebersole, "Optical image subtraction," Opt. Eng. 14, 436-447 (1975).
  3. F. T. S. Yu and A. Tai, "Image subtraction with an encoded extended incoherent source," Appl. Opt. 20, 4082-4088 (1981). [CrossRef] [PubMed]
  4. A. E. Chiou and P. Yeh, "Parallel image subtraction using a phase-conjugate Michelson interferometer," Opt. Lett. 11, 306-308 (1986) [CrossRef] [PubMed]
  5. S. Zhivkova and M. Miteva, "Image subtraction using fixed holograms in photorefractive Bi12TiO20 crystals," Opt. Lett. 16, 750-751 (1991). [CrossRef] [PubMed]
  6. M. Y. Shih, A. Shishido, and I. C. Khoo, "All-optical image processing by means of a photosensitive nonlinear liquid-crystal film: edge enhancement and image addition subtraction," Opt. Lett. 26, 1140-1142 (2001). [CrossRef]
  7. P. Refregier and B. Javidi, "Optical image encryption based on input plane and Fourier plane random encoding," Opt. Lett. 20, 767-769 (1995). [CrossRef] [PubMed]
  8. G. Unnikrishnan, J. Joseph, and K. Singh, "Optical encryption by double random phase encoding in the fractional Fourier domain," Opt. Lett. 25, 887-889 (2000). [CrossRef]
  9. E. Tajahuerce, O. Matoba, S. C. Verrall, and B. Javidi, "Optoelectronic information encryption with phase-shifting interferometry," Appl. Opt. 39, 2313-2320 (2000). [CrossRef]
  10. B. Javidi and T. Nomural, "Optical encryption by double-random phase encoding in the fractional Fourier domain," Opt. Lett. 25, 887-889 (2000). [CrossRef]
  11. N. K. Nishchal, G. Unnikrishnan, J. Joseph, and K. Singh, "Optical encryption using a localized fractional Fourier transform," Opt. Eng. 42, 3566-3571 (2003). [CrossRef]
  12. L. Yu and L. Cai, "Multidimensional data encryption with digital holography," Opt. Commun. 215, 271-284 (2003). [CrossRef]
  13. X. Peng, L. Yu, and L. Cai, "Digital watermarking in three-dimensional space with a virtual-optics imaging modality," Opt. Commun. 226, 155-165 (2003). [CrossRef]
  14. N. K. Nishchal, J. Joseph, and K. Singh, "Fully phase-encrypted memory using cascaded extended fractional Fourier transform," Opt. Lasers Eng. 42, 141-151 (2004). [CrossRef]
  15. N. K. Nishchal, J. Joseph, and K. Singh, "Securing information using fractional Fourier transform in digital holography," Opt. Commun. 235, 253-259 (2004). [CrossRef]
  16. H. Kim, D. H. Kim, and Y. H. Lee, "Encryption of digital hologram of 3-D object by virtual optics," Opt. Express 12, 4912-4921 (2004). [CrossRef]
  17. L. Chen and D. Zhao, "Optical image encryption based on fractional wavelet transform," Opt. Commun. 254, 361-367 (2005). [CrossRef]
  18. X. Wang, D. Zhao, and L. Chen, "Image encryption based on extended fractional Fourier transform and digital holography technique," Opt. Commun. (in press). [PubMed]
  19. L. Z. Cai, Q. Liu, and X. L. Yang, "Phase-shift extraction and wave-front reconstruction in phase-shifting interferometry with arbitrary phase steps," Opt. Lett. 28, 1808-1810 (2003). [CrossRef] [PubMed]
  20. J. Hua, L. Liu, and G. Li, "Extended fractional Fourier transforms," J. Opt. Soc. Am. A 14, 3316-3322 (1997). [CrossRef]

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