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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: Joseph N. Mait
  • Vol. 53, Iss. 8 — Mar. 10, 2014
  • pp: 1674–1682

Nonlinear optical security system based on a joint transform correlator in the Fresnel domain

Juan M. Vilardy, María S. Millán, and Elisabet Pérez-Cabré  »View Author Affiliations


Applied Optics, Vol. 53, Issue 8, pp. 1674-1682 (2014)
http://dx.doi.org/10.1364/AO.53.001674


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Abstract

A new optical security system for image encryption based on a nonlinear joint transform correlator (JTC) in the Fresnel domain (FrD) is proposed. The proposal of the encryption process is a lensless optical system that produces a real encrypted image and is a simplified version of some previous JTC-based encryption systems. We use a random complex mask as the key in the nonlinear system for the purpose of increasing the security of the encrypted image. In order to retrieve the primary image in the decryption process, a nonlinear operation has to be introduced in the encrypted function. The optical decryption process is implemented through the Fresnel transform and the fractional Fourier transform. The security system proposed in this paper preserves the shift-invariance property of the JTC-based encryption system in the Fourier domain, with respect to the lateral displacement of the key random mask in the decryption process. This system shows an improved resistance to chosen-plaintext and known-plaintext attacks, as they have been proposed in the cryptanalysis of the JTC encrypting system. Numerical simulations show the validity of this new optical security system.

© 2014 Optical Society of America

OCIS Codes
(050.1970) Diffraction and gratings : Diffractive optics
(070.4340) Fourier optics and signal processing : Nonlinear optical signal processing
(070.4550) Fourier optics and signal processing : Correlators
(350.4600) Other areas of optics : Optical engineering
(070.2575) Fourier optics and signal processing : Fractional Fourier transforms

ToC Category:
Fourier Optics and Signal Processing

History
Original Manuscript: November 14, 2013
Revised Manuscript: January 29, 2014
Manuscript Accepted: January 31, 2014
Published: March 10, 2014

Citation
Juan M. Vilardy, María S. Millán, and Elisabet Pérez-Cabré, "Nonlinear optical security system based on a joint transform correlator in the Fresnel domain," Appl. Opt. 53, 1674-1682 (2014)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-53-8-1674

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