Optical Image Multiplexing Encryption Using Digital
Holography in a JTC Architecture
Edgar Rueda
1
, John F. Barrera
1
, Rodrigo Henao
1
, Roberto Torroba
2
1. Grupo de Óptica y Fotónica, Instituto de Física, Universidad de Antioquia, A.A. 1226, Medellín, Colombia.
2. Centro de Investigaciones Ópticas (CONICET-CIC) and UID OPTIMO, Facultad de Ingeniería, Universidad de la Plata, P.O. Box
(124) 1900, La Plata.
elgaral@gmail.com , jbarrera@fisica.udea.edu.co , rhenao@fisica.udea.edu.co , robertot@ciop.unlp.edu.ar
Abstract: An optical scheme that uses a digital holographic technique in a Joint transform
correlator architecture to encrypt and decrypt images is presented. A filtering procedure is
implemented to improve the multiplexing capabilities of the system.
©2009 Optical Society of America
OCIS codes: (060.4785) Optical security and encryption, (070.0070) Fourier optics, (090.1995) Digital holography,
(100.2000) Digital image processing.
1. Introduction
Encryption and decryption of images using the double random phase encoding (DRPE) technique has arisen as a
promising method for securing information. Among the alternative architectures that work with this technique, the
Joint Transform Correlator (JTC) architecture [1] is attractive in the sense that it does not require the accurate
optical alignment of methods like the 4f architecture [2], although it generates unwanted terms in the output.
Digital holographic techniques have been implemented in different optical security systems. In particular, for
the 4f architecture Nomura et al. [3] proposed a system for securing information using a digital holographic
technique that allows the encrypted image to be stored, transmitted and decrypted digitally.
Numerous multiplexing techniques to store multitude of images into a single storing device without cross talk
have been proposed [4-6]. In some multiplexing techniques there are restrictions over the number of stored images
due to the presence of background noise or limitations in the recording device.
In this work we present: a system for securing information using a digital holographic technique in a JTC
architecture, a filtering procedure to eliminate the unwanted terms in the output plane, and an increase in the number
of recovered images in multiplexing techniques thanks to the elimination of the background noise.
2. Optodigital procedure for encryption and decryption of images
The setup is basically a Mach-Zender with one arm corresponding to a JTC configuration and the other to a
reference plane wave beam (Fig. 1). Plane O is the input plane where the image to be encrypted and the phase key
are placed; plane K corresponds to the Fourier plane of the input plane where the recording device (CCD camera) is
located.
Fig1. Optical setup (Mach-Zender). B1 and B2 are beamsplitters, Plane O is the input plane, L is a positive lens, plane K is the joint power
spectrum plane, f is the lens focal distance, M1 and M2 are mirrors.
The encryption step is done optically. First, blocking the reference arm the Joint Power Spectrum (JPS) intensity
pattern is stored using the CCD camera, thus storing the encrypted image; next, unblocking the reference arm the
hologram of the Phase Key Fourier Transform (PKFT) is stored; and finally, the intensity of: the original image, the
PKFT and the reference plane wave are recorded separately.
The decryption step is done digitally. First, using the stored intensities, the noisy terms on the encrypted image
and on the hologram of the PKFT are removed. These noise-free images are then multiplied and inverse Fourier
transformed. The result will have four spatially differentiated terms, one corresponding to the original image. The
spatial position of each term is controlled with the input plane windows separation (Fig. 1) and the angle of
incidence of the reference plane wave.
a357_1.pdf
JTuB3.pdf
© 2009 OSA/DH/FTS/HISE/NTM/OTA 2009
JTuB3.pdf